Course Modules

Imported Content

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May 17 Thurs Lecture Note

May 17 Thurs Lecture Note May 17 Thurs Lecture Note

Attachment

Math3A Sec5.7[12324].pdf Math3A Sec5.7[12324].pdf 1

attachment 2464836 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

May 12 Thurs Lecture Notes

May 12 Thurs Lecture Notes May 12 Thurs Lecture Notes

Attachment

Math3A Sec5.6[12147].pdf Math3A Sec5.6[12147].pdf 1

attachment 2458484 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

May 10 Thurs Lecture Note

May 10 Thurs Lecture Note May 10 Thurs Lecture Note

Attachment

Math3A Sec5.5[12048].pdf Math3A Sec5.5[12048].pdf 1

attachment 2456397 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

May 5 Thurs Lecture Note

May 5 Thurs Lecture Note May 5 Thurs Lecture Note

Attachment

Math3A Sec5.3[11768].pdf Math3A Sec5.3[11768].pdf 1

attachment 2452882 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Attachment

Math3A Sec 5.4[11751].pdf Math3A Sec 5.4[11751].pdf 2

attachment 2452883 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Apr 26 Tues Lecture Notes

Apr 26 Tues Lecture Notes Apr 26 Tues Lecture Notes

Attachment

Math3A Sec4.8 [11523].pdf Math3A Sec4.8 [11523].pdf 1

attachment 2445238 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Attachment

Math3A Sec4.10[11769].pdf Math3A Sec4.10[11769].pdf 2

attachment 2452884 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Apr 21 Thurs Lecture Note

Apr 21 Thurs Lecture Note Apr 21 Thurs Lecture Note

Attachment

Math3A Sec4.7 [11326].pdf Math3A Sec4.7 [11326].pdf 1

attachment 2441594 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

April 19th Tues Lecture Note

April 19th Tues Lecture Note April 19th Tues Lecture Note

Attachment

Math3A Sec4.6[11210].pdf Math3A Sec4.6[11210].pdf 1

attachment 2439471 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Apr 14th Thurs Lecture Note

Apr 14th Thurs Lecture Note Apr 14th Thurs Lecture Note

Attachment

Math3A Sec4.6[10946].pdf Math3A Sec4.6[10946].pdf 1

attachment 2434462 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

April 12th Tues Lecture Note

April 12th Tues Lecture Note April 12th Tues Lecture Note

Attachment

Math3A Sec4.4[10836].pdf Math3A Sec4.4[10836].pdf 1

attachment 2432493 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Apr 7th Thurs Lecture Note

Apr 7th Thurs Lecture Note Apr 7th Thurs Lecture Note

Attachment

Math3A Sec4.3[10665].pdf Math3A Sec4.3[10665].pdf 1

attachment 2427949 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Attachment

Math3A Sec4.2[10664].pdf Math3A Sec4.2[10664].pdf 2

attachment 2427950 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Apr 5th Tues Lecture Note

Apr 5th Tues Lecture Note Apr 5th Tues Lecture Note

Attachment

Math3A Sec4.1[10561].pdf Math3A Sec4.1[10561].pdf 1

attachment 2426886 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 22 Tues Lecture Note

Mar 22 Tues Lecture Note Mar 22 Tues Lecture Note

Attachment

Math3A Sec3.9.pdf Math3A Sec3.9.pdf 1

attachment 2417427 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 17 Thurs Lecture Note

Mar 17 Thurs Lecture Note Mar 17 Thurs Lecture Note

Attachment

Math3A Sec3.8[10174].pdf Math3A Sec3.8[10174].pdf 1

attachment 2407029 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Attachment

Math3A Sec 3.7[10173].pdf Math3A Sec 3.7[10173].pdf 2

attachment 2407030 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 10 Thurs Lecture Notes

Mar 10 Thurs Lecture Notes Mar 10 Thurs Lecture Notes

Attachment

Math3A Sec3.6[9759].pdf Math3A Sec3.6[9759].pdf 2

attachment 2398621 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 8 Tuesday Lecture Notes

Mar 8 Tuesday Lecture Notes Mar 8 Tuesday Lecture Notes

Attachment

Math3A Sec 3.5[9700].pdf Math3A Sec 3.5[9700].pdf 2

attachment 2397011 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 3 Thursday Lecture Notes

Mar 3 Thursday Lecture Notes Mar 3 Thursday Lecture Notes

Attachment

Math3A March 3, 2022[9593].pdf Math3A March 3, 2022[9593].pdf 1

attachment 2391940 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Mar 1 Tuesday Lecture Notes

Mar 1 Tuesday Lecture Notes Mar 1 Tuesday Lecture Notes

Attachment

Math3A March 1, 2022[9395].pdf Math3A March 1, 2022[9395].pdf 1

attachment 2389467 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Feb 22 Tuesday Lecture Notes

Feb 22 Tuesday Lecture Notes Feb 22 Tuesday Lecture Notes

Attachment

Math3A Feb 22, 2022[9116].pdf Math3A Feb 22, 2022[9116].pdf 1

attachment 2382198 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Feb 17 Thursday Lecture Notes

Feb 17 Thursday Lecture Notes Feb 17 Thursday Lecture Notes

Attachment

Math3A Feb 17,2022[9042].pdf Math3A Feb 17,2022[9042].pdf 1

attachment 2379256 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Feb 15 Tuesday Lecture Notes

Feb 15 Tuesday Lecture Notes Feb 15 Tuesday Lecture Notes

Attachment

Math3A Feb 15, 2022[8886].pdf Math3A Feb 15, 2022[8886].pdf 1

attachment 2376863 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Feb 10 Thursday Lecture Notes

Feb 10 Thursday Lecture Notes Feb 10 Thursday Lecture Notes

Attachment

Math3A Feb 10, 2022[8781].pdf Math3A Feb 10, 2022[8781].pdf 1

attachment 2367047 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Feb 8 Tuesday Lecture Notes

Feb 8 Tuesday Lecture Notes Feb 8 Tuesday Lecture Notes

Attachment

Math3A Feb 8, 2022[8611].pdf Math3A Feb 8, 2022[8611].pdf 1

attachment 2363508 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Student Orientation

Student Orientation Student Orientation

Page

Canvas Orientation Canvas Orientation 2

wiki_page 2153460 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

Student Resources and Support Student Resources and Support 3

wiki_page 2153462 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Calc 1

Calc 1 Calc 1

Context Module Sub Header

Chapter 1 Functions and Graphs 1

context_module_sub_header 2297341 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.1 Review of Functions 2

context_module_sub_header 2297342 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

LEARNING OBJECTIVES 1.1 Review of Functions LEARNING OBJECTIVES 1.1 Review of Functions 3

wiki_page 2297343 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

READ 1.1 A Review of Functions READ 1.1 A Review of Functions 4

external_url 2297344 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

VIEW 1.1 A Review of Functions VIEW 1.1 A Review of Functions 5

wiki_page 2297345 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

EXERCISES 1.1 Review Of Functions EXERCISES 1.1 Review Of Functions 31 6

assignment 2297346 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.2 Basic Classes of Functions 7

context_module_sub_header 2297347 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

LEARNING OBJECTIVES 1.2 Basic Classes of Functions LEARNING OBJECTIVES 1.2 Basic Classes of Functions 8

wiki_page 2297348 0

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External Url

READ 1.2 Basic Classes of Functions READ 1.2 Basic Classes of Functions 9

external_url 2297349 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

VIEW 1.2 Basic Classes of Functions VIEW 1.2 Basic Classes of Functions 10

wiki_page 2297350 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

EXERCISES 1.2 Basic Classes of Functions EXERCISES 1.2 Basic Classes of Functions 30 11

assignment 2297351 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.3 Trigonometric Functions 12

context_module_sub_header 2297352 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

LEARNING OBJECTIVES 1.3 Trigonometric Functions LEARNING OBJECTIVES 1.3 Trigonometric Functions 13

wiki_page 2297353 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

READ 1.3 Trigonometric Functions READ 1.3 Trigonometric Functions 14

external_url 2297354 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

VIEW 1.3 Trigonometric Functions VIEW 1.3 Trigonometric Functions 15

wiki_page 2297355 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

EXERCISES 1.3 Trigonometric Functions EXERCISES 1.3 Trigonometric Functions 20 16

assignment 2297356 1

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Context Module Sub Header

1.4 Inverse Functions 17

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LEARNING OBJECTIVES 1.4 Inverse Functions LEARNING OBJECTIVES 1.4 Inverse Functions 18

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READ 1.4 Inverse Functions READ 1.4 Inverse Functions 19

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VIEW 1.4 Inverse Functions VIEW 1.4 Inverse Functions 20

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EXERCISES 1.4 Inverse Functions EXERCISES 1.4 Inverse Functions 18 21

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1.5 Exponential and Logarithmic Functions 22

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LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions 23

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READ 1.5 Exponential and Logarithmic Functions READ 1.5 Exponential and Logarithmic Functions 24

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VIEW 1.5 Exponential and Logarithmic Functions VIEW 1.5 Exponential and Logarithmic Functions 25

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EXERCISES 1.5 Exponential and Logarithmic Functions EXERCISES 1.5 Exponential and Logarithmic Functions 24 26

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Chapter 2 Limits 27

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2.1 A Preview of Calculus 28

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LEARNING OBJECTIVES 2.1 A Preview of Calculus LEARNING OBJECTIVES 2.1 A Preview of Calculus 29

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READ 2.1 A Preview of Calculus READ 2.1 A Preview of Calculus 30

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VIEW 2.1 A Preview of Calculus VIEW 2.1 A Preview of Calculus 31

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2.2 The Limit of a Function 33

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LEARNING OBJECTIVES 2.2 The Limit of a Function LEARNING OBJECTIVES 2.2 The Limit of a Function 34

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READ 2.2 The Limit of a Function READ 2.2 The Limit of a Function 35

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VIEW 2.2 The Limit of a Function VIEW 2.2 The Limit of a Function 36

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EXERCISES 2.2 The Limit of a Function EXERCISES 2.2 The Limit of a Function 100 37

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2.3 The Limit Laws 38

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LEARNING OBJECTIVES 2.3 The Limit Laws LEARNING OBJECTIVES 2.3 The Limit Laws 39

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READ 2.3 The Limit Laws READ 2.3 The Limit Laws 40

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VIEW 2.3 The Limit Laws VIEW 2.3 The Limit Laws 41

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EXERCISES 2.3 The Limit Laws EXERCISES 2.3 The Limit Laws 110 42

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2.4 Continuity 43

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LEARNING OBJECTIVES 2.4 Continuity LEARNING OBJECTIVES 2.4 Continuity 44

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READ 2.4 Continuity READ 2.4 Continuity 45

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VIEW 2.4 Continuity VIEW 2.4 Continuity 46

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EXERCISES 2.4 Continuity EXERCISES 2.4 Continuity 90 47

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2.5 The Precise Definition of Limit 48

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LEARNING OBJECTIVES 2.5 The Precise Definition of a Limit LEARNING OBJECTIVES 2.5 The Precise Definition of a Limit 49

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READ 2.5 The Precise Definition of a Limit READ 2.5 The Precise Definition of a Limit 50

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VIEW 2.5 The Precise Definition of a Limit VIEW 2.5 The Precise Definition of a Limit 51

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Chapter 3 The Derivative 53

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3.1 Defining the Derivative 54

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LEARNING OBJECTIVES 3.1 Defining the Derivative LEARNING OBJECTIVES 3.1 Defining the Derivative 55

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READ 3.1 Defining the Derivative READ 3.1 Defining the Derivative 56

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VIEW 3.1 Defining the Derivative VIEW 3.1 Defining the Derivative 57

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EXERCISES 3.1 Defining the Derivative EXERCISES 3.1 Defining the Derivative 100 58

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3.2 The Derivative as a Function 59

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LEARNING OBJECTIVES 3.2 The Derivative as a Function LEARNING OBJECTIVES 3.2 The Derivative as a Function 60

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READ 3.2 The Derivative as a Function READ 3.2 The Derivative as a Function 61

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VIEW 3.2 The Derivative as a Function VIEW 3.2 The Derivative as a Function 62

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EXERCISES 3.2 The Derivative as a Function EXERCISES 3.2 The Derivative as a Function 100 63

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3.3 Differentiation Rules 64

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LEARNING OBJECTIVES 3.3 Differentiation Rules LEARNING OBJECTIVES 3.3 Differentiation Rules 65

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READ 3.3 Differentiation Rules READ 3.3 Differentiation Rules 66

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VIEW 3.3 Differentiation Rules VIEW 3.3 Differentiation Rules 67

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EXERCSIES 3.3 Differentiation Rules EXERCSIES 3.3 Differentiation Rules 200 68

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Context Module Sub Header

3.4 Derivatives as Rates of Change 69

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LEARNING OBJECTIVES 3.4 Derivatives as Rates of Change LEARNING OBJECTIVES 3.4 Derivatives as Rates of Change 70

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READ 3.4 Derivatives as Rates of Change READ 3.4 Derivatives as Rates of Change 71

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VIEW 3.4 Derivatives as Rates of Change VIEW 3.4 Derivatives as Rates of Change 72

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EXERCISES 3.4 Derivatives as Rates of Change EXERCISES 3.4 Derivatives as Rates of Change 80 73

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3.5 Derivatives of Trigonometric Functions 74

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LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions 75

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READ 3.5 Derivatives of Trigonometric Functions READ 3.5 Derivatives of Trigonometric Functions 76

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VIEW 3.5 Derivatives of Trigonometric Functions VIEW 3.5 Derivatives of Trigonometric Functions 77

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EXERCISES 3.5 Derivatives of Trigonometric Functions EXERCISES 3.5 Derivatives of Trigonometric Functions 120 78

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3.6 The Chain Rule 79

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LEARNING OBJECTIVES 3.6 The Chain Rule LEARNING OBJECTIVES 3.6 The Chain Rule 80

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READ 3.6 The Chain Rule READ 3.6 The Chain Rule 81

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VIEW 3.6 The Chain Rule VIEW 3.6 The Chain Rule 82

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EXERCISES 3.6 The Chain Rule EXERCISES 3.6 The Chain Rule 120 83

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3.7 Derivatives of Inverse Functions 84

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LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions 85

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READ 3.7 Derivatives of Inverse Functions READ 3.7 Derivatives of Inverse Functions 86

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VIEW 3.7 Derivatives of Inverse Functions VIEW 3.7 Derivatives of Inverse Functions 87

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EXERCISES 3.7 Derivatives of Inverse Functions EXERCISES 3.7 Derivatives of Inverse Functions 100 88

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3.8 Implicit Differentiation 89

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LEARNING OBJECTIVES 3.8 Implicit Differentiation LEARNING OBJECTIVES 3.8 Implicit Differentiation 90

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READ 3.8 Implicit Differentiation READ 3.8 Implicit Differentiation 91

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VIEW 3.8 Implicit Differentiation VIEW 3.8 Implicit Differentiation 92

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EXERCISES 3.8 Implicit Differentiation EXERCISES 3.8 Implicit Differentiation 100 93

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3.9 Derivatives of Exponential and Logarithmic Functions 94

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LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions 95

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READ 3.9 Derivatives of Exponential and Logarithmic Functions READ 3.9 Derivatives of Exponential and Logarithmic Functions 96

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VIEW 3.9 Derivatives of Exponential and Logarithmic Functions VIEW 3.9 Derivatives of Exponential and Logarithmic Functions 97

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EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions 100 98

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Context Module Sub Header

Chapter 4 Applications of Derivatives 99

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4.1 Related Rates 100

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LEARNING OBJECTIVES 4.1 Related Rates LEARNING OBJECTIVES 4.1 Related Rates 101

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READ 4.1 Related Rates READ 4.1 Related Rates 102

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VIEW 4.1 Related Rates VIEW 4.1 Related Rates 103

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EXERCISES 4.1 Related Rates EXERCISES 4.1 Related Rates 90 104

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4.2 Linear Approximation and Differentials 105

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LEARNING OBJECTIVES 4.2 Linear Approximations and Differentials LEARNING OBJECTIVES 4.2 Linear Approximations and Differentials 106

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READ 4.2 Linear Approximations and Differentials READ 4.2 Linear Approximations and Differentials 107

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VIEW 4.2 Linear Approximations and Differentials VIEW 4.2 Linear Approximations and Differentials 108

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EXERCISES 4.2 Linear Approximations and Differentials EXERCISES 4.2 Linear Approximations and Differentials 60 109

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4.3 Maxima and Minima 110

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LEARNING OBJECTIVES 4.3 Maxima and Minima LEARNING OBJECTIVES 4.3 Maxima and Minima 111

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READ 4.3 Maxima and Minima READ 4.3 Maxima and Minima 112

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VIEW 4.3 Maxima and Minima VIEW 4.3 Maxima and Minima 113

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EXERCISES 4.3 Maxima and Minima EXERCISES 4.3 Maxima and Minima 100 114

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4.4 The Mean Value Theorem 115

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LEARNING OBJECTIVES 4.4 The Mean Value Theorem LEARNING OBJECTIVES 4.4 The Mean Value Theorem 116

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READ 4.4 The Mean Value Theorem READ 4.4 The Mean Value Theorem 117

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VIEW 4.4 The Mean Value Theorem VIEW 4.4 The Mean Value Theorem 118

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EXERCISES 4.4 The Mean Value Theorem EXERCISES 4.4 The Mean Value Theorem 50 119

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4.5 Derivatives and the Shape of a Graph 120

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LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph 121

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READ 4.5 Derivatives and the Shape of a Graph READ 4.5 Derivatives and the Shape of a Graph 122

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VIEW 4.5 Derivatives and the Shape of a Graph VIEW 4.5 Derivatives and the Shape of a Graph 123

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EXERCISES 4.5 Derivatives and the Shape of a Graph EXERCISES 4.5 Derivatives and the Shape of a Graph 100 124

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4.6 Limits at Infinity and Asymptotes 125

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LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes 126

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READ 4.6 Limits at Infinity and Asymptotes READ 4.6 Limits at Infinity and Asymptotes 127

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VIEW 4.6 Limits at Infinity and Asymptotes VIEW 4.6 Limits at Infinity and Asymptotes 128

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EXERCISES 4.6 Limits at Infinity and Asymptotes EXERCISES 4.6 Limits at Infinity and Asymptotes 100 129

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4.7 Applied Optimization Problems 130

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LEARNING OBJECTIVES 4.7 Applied Optimization Problems LEARNING OBJECTIVES 4.7 Applied Optimization Problems 131

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READ 4.7 Applied Optimization Problems READ 4.7 Applied Optimization Problems 132

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VIEW 4.7 Applied Optimization Problems VIEW 4.7 Applied Optimization Problems 133

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EXERCISES 4.7 Applied Optimization Problems EXERCISES 4.7 Applied Optimization Problems 20 134

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4.8 L’Hôpital’s Rule 135

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LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule 136

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READ 4.8 L’Hôpital’s Rule READ 4.8 L’Hôpital’s Rule 137

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VIEW 4.8 L’Hôpital’s Rule VIEW 4.8 L’Hôpital’s Rule 138

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EXERCISES 4.8 L'Hopital's Rule EXERCISES 4.8 L'Hopital's Rule 30 139

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4.9 Newton’s Method 140

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LEARNING OBJECTIVES 4.9 Newton's Method LEARNING OBJECTIVES 4.9 Newton's Method 141

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READ 4.9 Newton's Method READ 4.9 Newton's Method 142

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VIEW 4.9 Newton's Method VIEW 4.9 Newton's Method 143

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4.10 Antiderivatives 145

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LEARNING OBJECTIVES 4.10 Antiderivatives LEARNING OBJECTIVES 4.10 Antiderivatives 146

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READ 4.10 Anitderivatives READ 4.10 Anitderivatives 147

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VIEW 4.10 Antiderivatives VIEW 4.10 Antiderivatives 148

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Chapter 5 Integration 150

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5.1 Approximating Areas 151

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LEARNING OBJECTIVES 5.1 Approximating Areas LEARNING OBJECTIVES 5.1 Approximating Areas 152

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READ 5.1 Approximating Areas READ 5.1 Approximating Areas 153

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VIEW 5.1 Approximating Areas VIEW 5.1 Approximating Areas 154

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Riemann Sum demonstration Riemann Sum demonstration 156

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5.2 The Definite Integral 157

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LEARNING OBJECTIVES 5.2 The Definite Integral LEARNING OBJECTIVES 5.2 The Definite Integral 158

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READ 5.2 The Definite Integral READ 5.2 The Definite Integral 159

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VIEW 5.2 The Definite Integral VIEW 5.2 The Definite Integral 160

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5.3 The Fundamental Theorem of Calculus 162

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LEARNING OBJECTIVES 5.3 The Fundamental Theorem of Calculus LEARNING OBJECTIVES 5.3 The Fundamental Theorem of Calculus 163

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READ 5.3 The Fundamental Theorem of Calculus READ 5.3 The Fundamental Theorem of Calculus 164

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VIEW 5.3 The Fundamental Theorem of Calculus VIEW 5.3 The Fundamental Theorem of Calculus 165

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EXERCISES 5.3 The Fundamental Theorem of Calculus EXERCISES 5.3 The Fundamental Theorem of Calculus 20 166

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5.4 Integration Formulas and the Net Change Theorem 167

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LEARNING OBJECTIVES 5.4 Integration Formulas and the Net Change Theorem LEARNING OBJECTIVES 5.4 Integration Formulas and the Net Change Theorem 168

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READ 5.4 Integration Formulas and the Net Change Theorem READ 5.4 Integration Formulas and the Net Change Theorem 169

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VIEW 5.4 Integration Formulas and the Net Change Theorem VIEW 5.4 Integration Formulas and the Net Change Theorem 170

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EXERCISES 5.4 Integration Formulas and the Net Change Theorem EXERCISES 5.4 Integration Formulas and the Net Change Theorem 140 171

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5.5 Substitution 172

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LEARNING OBJECTIVES 5.5 Substitution LEARNING OBJECTIVES 5.5 Substitution 173

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READ 5.5 Substitution READ 5.5 Substitution 174

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VIEW 5.5 Substitution VIEW 5.5 Substitution 175

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EXERCISES 5.5 Substitution EXERCISES 5.5 Substitution 30 176

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5.6 Integrals Involving Exponential and Logarithmic Functions 178

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LEARNING OBJECTIVES 5.6 Integrals Involving Exponential and Logarithmic Functions LEARNING OBJECTIVES 5.6 Integrals Involving Exponential and Logarithmic Functions 179

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READ 5.6 Integrals Involving Exponential and Logarithmic Functions READ 5.6 Integrals Involving Exponential and Logarithmic Functions 180

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VIEW 5.6 Integrals Involving Exponential and Logarithmic Functions VIEW 5.6 Integrals Involving Exponential and Logarithmic Functions 181

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EXERCISES 5.6 Integrals Involving Exponential & Logarithmic Functions EXERCISES 5.6 Integrals Involving Exponential & Logarithmic Functions 30 182

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5.7 Integrals Resulting in Inverse Trigonometric Functions 183

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LEARNING OBJECTIVES 5.7 Integrals Resulting in Inverse Trigonometric Functions LEARNING OBJECTIVES 5.7 Integrals Resulting in Inverse Trigonometric Functions 184

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READ 5.7 Integrals Resulting in Inverse Trigonometric Functions READ 5.7 Integrals Resulting in Inverse Trigonometric Functions 185

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VIEW 5.7 Integrals Resulting in Inverse Trigonometric Functions VIEW 5.7 Integrals Resulting in Inverse Trigonometric Functions 186

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EXERCISES 5.7 Integrals Resulting in Inverse Trig Functions EXERCISES 5.7 Integrals Resulting in Inverse Trig Functions 30 187

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Chapter 6 Applications of Integration 188

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6.1 Areas Between Curves 189

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LEARNING OBJECTIVES 6.1 Areas Between Curves LEARNING OBJECTIVES 6.1 Areas Between Curves 190

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READ 6.1 Areas Between Curves READ 6.1 Areas Between Curves 191

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Section 6.1 Video Lessons - Areas Between Curves Section 6.1 Video Lessons - Areas Between Curves 192

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6.2 Determining Volumes by Slicing 194

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LEARNING OBJECTIVES 6.2 Determining Volumes by Slicing LEARNING OBJECTIVES 6.2 Determining Volumes by Slicing 195

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READ 6.2 Determining Volumes by Slicing READ 6.2 Determining Volumes by Slicing 196

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VIEW 6.2 Determining Volumes by Slicing VIEW 6.2 Determining Volumes by Slicing 197

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6.3 Volumes of Revolution: Cylindrical Shells 199

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LEARNING OBJECTIVES 6.3 Volumes of Revolution: Cylindrical Shells LEARNING OBJECTIVES 6.3 Volumes of Revolution: Cylindrical Shells 200

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READ 6.3 Volumes of Revolution: Cylindrical Shells READ 6.3 Volumes of Revolution: Cylindrical Shells 201

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VIEW 6.3 Volumes of Revolution: Cylindrical Shells VIEW 6.3 Volumes of Revolution: Cylindrical Shells 202

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6.4 Arc Length of a Curve and Surface Area 204

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LEARNING OBJECTIVES 6.4 Arc Length of a Curve and Surface Area LEARNING OBJECTIVES 6.4 Arc Length of a Curve and Surface Area 205

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READ 6.4 Arc Length of a Curve and Surface Area READ 6.4 Arc Length of a Curve and Surface Area 206

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VIEW 6.4 Arc Length of a Curve and Surface Area VIEW 6.4 Arc Length of a Curve and Surface Area 207

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6.5 Physical Applications 209

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LEARNING OBJECTIVES 6.5 Physical Applications LEARNING OBJECTIVES 6.5 Physical Applications 210

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READ 6.5 Physical Applications READ 6.5 Physical Applications 211

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VIEW 6.5 Physical Applications VIEW 6.5 Physical Applications 212

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6.6 Moments and Centers of Mass 214

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LEARNING OBJECTIVES 6.6 Moments and Centers of Mass LEARNING OBJECTIVES 6.6 Moments and Centers of Mass 215

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READ 6.6 Moments and Centers of Mass READ 6.6 Moments and Centers of Mass 216

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VIEW 6.6 Moments and Centers of Mass VIEW 6.6 Moments and Centers of Mass 217

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6.7 Integrals, Exponential Functions, and Logarithms 219

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LEARNING OBJECTIVES 6.7 Integrals, Exponential Functions, and Logarithms LEARNING OBJECTIVES 6.7 Integrals, Exponential Functions, and Logarithms 220

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READ 6.7 Integrals, Exponential Functions, and Logarithms READ 6.7 Integrals, Exponential Functions, and Logarithms 221

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VIEW 6.7 Integrals, Exponential Functions, and Logarithms VIEW 6.7 Integrals, Exponential Functions, and Logarithms 222

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6.8 Exponential Growth and Decay 224

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LEARNING OBJECTIVES 6.8 Exponential Growth and Decay LEARNING OBJECTIVES 6.8 Exponential Growth and Decay 225

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READ 6.8 Exponential Growth and Decay READ 6.8 Exponential Growth and Decay 226

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VIEW 6.8 Exponential Growth and Decay VIEW 6.8 Exponential Growth and Decay 227

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6.9 Calculus of the Hyperbolic Functions 229

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LEARNING OBJECTIVES 6.9 Calculus of the Hyperbolic Functions LEARNING OBJECTIVES 6.9 Calculus of the Hyperbolic Functions 230

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READ 6.9 Calculus of the Hyperbolic Functions READ 6.9 Calculus of the Hyperbolic Functions 231

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VIEW 6.9 Calculus of Hyperbolic Functions VIEW 6.9 Calculus of Hyperbolic Functions 232

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Landing Page

Landing Page Landing Page

Page

Welcome to Calculus 1 Welcome to Calculus 1 1

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Welcome to Calculus 1 (Alternative Front Page) Welcome to Calculus 1 (Alternative Front Page) 2

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Calc 1

Calc 1 Calc 1

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Chapter 1 Functions and Graphs 1

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1.1 Review of Functions 2

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LEARNING OBJECTIVES 1.1 Review of Functions-2 LEARNING OBJECTIVES 1.1 Review of Functions-2 3

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READ 1.1 A Review of Functions READ 1.1 A Review of Functions 4

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VIEW 1.1 A Review of Functions-2 VIEW 1.1 A Review of Functions-2 5

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1.2 Basic Classes of Functions 7

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LEARNING OBJECTIVES 1.2 Basic Classes of Functions-2 LEARNING OBJECTIVES 1.2 Basic Classes of Functions-2 8

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READ 1.2 Basic Classes of Functions READ 1.2 Basic Classes of Functions 9

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VIEW 1.2 Basic Classes of Functions-2 VIEW 1.2 Basic Classes of Functions-2 10

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Context Module Sub Header

1.3 Trigonometric Functions 12

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LEARNING OBJECTIVES 1.3 Trigonometric Functions-2 LEARNING OBJECTIVES 1.3 Trigonometric Functions-2 13

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READ 1.3 Trigonometric Functions READ 1.3 Trigonometric Functions 14

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VIEW 1.3 Trigonometric Functions-2 VIEW 1.3 Trigonometric Functions-2 15

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Context Module Sub Header

1.4 Inverse Functions 17

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LEARNING OBJECTIVES 1.4 Inverse Functions-2 LEARNING OBJECTIVES 1.4 Inverse Functions-2 18

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READ 1.4 Inverse Functions READ 1.4 Inverse Functions 19

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VIEW 1.4 Inverse Functions-2 VIEW 1.4 Inverse Functions-2 20

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Context Module Sub Header

1.5 Exponential and Logarithmic Functions 22

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LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions-2 LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions-2 23

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READ 1.5 Exponential and Logarithmic Functions READ 1.5 Exponential and Logarithmic Functions 24

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VIEW 1.5 Exponential and Logarithmic Functions-2 VIEW 1.5 Exponential and Logarithmic Functions-2 25

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Chapter 2 Limits 27

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2.1 A Preview of Calculus 28

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LEARNING OBJECTIVES 2.1 A Preview of Calculus-2 LEARNING OBJECTIVES 2.1 A Preview of Calculus-2 29

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READ 2.1 A Preview of Calculus READ 2.1 A Preview of Calculus 30

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VIEW 2.1 A Preview of Calculus-2 VIEW 2.1 A Preview of Calculus-2 31

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Assignment

EXERCISES 2.1 A Preview of Calculus EXERCISES 2.1 A Preview of Calculus 80 32

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2.2 The Limit of a Function 33

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LEARNING OBJECTIVES 2.2 The Limit of a Function-2 LEARNING OBJECTIVES 2.2 The Limit of a Function-2 34

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READ 2.2 The Limit of a Function READ 2.2 The Limit of a Function 35

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VIEW 2.2 The Limit of a Function-2 VIEW 2.2 The Limit of a Function-2 36

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Assignment

EXERCISES 2.2 The Limit of a Function EXERCISES 2.2 The Limit of a Function 100 37

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2.3 The Limit Laws 38

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LEARNING OBJECTIVES 2.3 The Limit Laws-2 LEARNING OBJECTIVES 2.3 The Limit Laws-2 39

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READ 2.3 The Limit Laws READ 2.3 The Limit Laws 40

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VIEW 2.3 The Limit Laws-2 VIEW 2.3 The Limit Laws-2 41

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Assignment

EXERCISES 2.3 The Limit Laws EXERCISES 2.3 The Limit Laws 110 42

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2.4 Continuity 43

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LEARNING OBJECTIVES 2.4 Continuity-2 LEARNING OBJECTIVES 2.4 Continuity-2 44

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READ 2.4 Continuity READ 2.4 Continuity 45

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VIEW 2.4 Continuity-2 VIEW 2.4 Continuity-2 46

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EXERCISES 2.4 Continuity EXERCISES 2.4 Continuity 90 47

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2.5 The Precise Definition of Limit 48

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LEARNING OBJECTIVES 2.5 The Precise Definition of a Limit-2 LEARNING OBJECTIVES 2.5 The Precise Definition of a Limit-2 49

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READ 2.5 The Precise Definition of a Limit READ 2.5 The Precise Definition of a Limit 50

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VIEW 2.5 The Precise Definition of a Limit-2 VIEW 2.5 The Precise Definition of a Limit-2 51

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Assignment

EXERCISE 2.5 The Precise Definition of a Limit EXERCISE 2.5 The Precise Definition of a Limit 120 52

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Chapter 3 The Derivative 53

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Context Module Sub Header

3.1 Defining the Derivative 54

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LEARNING OBJECTIVES 3.1 Defining the Derivative-2 LEARNING OBJECTIVES 3.1 Defining the Derivative-2 55

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READ 3.1 Defining the Derivative READ 3.1 Defining the Derivative 56

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VIEW 3.1 Defining the Derivative-2 VIEW 3.1 Defining the Derivative-2 57

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EXERCISES 3.1 Defining the Derivative EXERCISES 3.1 Defining the Derivative 100 58

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Context Module Sub Header

3.2 The Derivative as a Function 59

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LEARNING OBJECTIVES 3.2 The Derivative as a Function-2 LEARNING OBJECTIVES 3.2 The Derivative as a Function-2 60

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External Url

READ 3.2 The Derivative as a Function READ 3.2 The Derivative as a Function 61

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VIEW 3.2 The Derivative as a Function-2 VIEW 3.2 The Derivative as a Function-2 62

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Assignment

EXERCISES 3.2 The Derivative as a Function EXERCISES 3.2 The Derivative as a Function 100 63

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Context Module Sub Header

3.3 Differentiation Rules 64

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LEARNING OBJECTIVES 3.3 Differentiation Rules-2 LEARNING OBJECTIVES 3.3 Differentiation Rules-2 65

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READ 3.3 Differentiation Rules READ 3.3 Differentiation Rules 66

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VIEW 3.3 Differentiation Rules-2 VIEW 3.3 Differentiation Rules-2 67

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EXERCSIES 3.3 Differentiation Rules EXERCSIES 3.3 Differentiation Rules 100 68

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Context Module Sub Header

3.4 Derivatives as Rates of Change 69

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LEARNING OBJECTIVES 3.4 Derivatives as Rates of Change-2 LEARNING OBJECTIVES 3.4 Derivatives as Rates of Change-2 70

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READ 3.4 Derivatives as Rates of Change READ 3.4 Derivatives as Rates of Change 71

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VIEW 3.4 Derivatives as Rates of Change-2 VIEW 3.4 Derivatives as Rates of Change-2 72

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EXERCISES 3.4 Derivatives as Rates of Change EXERCISES 3.4 Derivatives as Rates of Change 80 73

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Context Module Sub Header

3.5 Derivatives of Trigonometric Functions 74

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LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions-2 LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions-2 75

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READ 3.5 Derivatives of Trigonometric Functions READ 3.5 Derivatives of Trigonometric Functions 76

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VIEW 3.5 Derivatives of Trigonometric Functions-2 VIEW 3.5 Derivatives of Trigonometric Functions-2 77

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EXERCISES 3.5 Derivatives of Trigonometric Functions EXERCISES 3.5 Derivatives of Trigonometric Functions 120 78

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3.6 The Chain Rule 79

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LEARNING OBJECTIVES 3.6 The Chain Rule-2 LEARNING OBJECTIVES 3.6 The Chain Rule-2 80

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READ 3.6 The Chain Rule READ 3.6 The Chain Rule 81

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VIEW 3.6 The Chain Rule-2 VIEW 3.6 The Chain Rule-2 82

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Assignment

EXERCISES 3.6 The Chain Rule EXERCISES 3.6 The Chain Rule 120 83

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Context Module Sub Header

3.7 Derivatives of Inverse Functions 84

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LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions-2 LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions-2 85

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External Url

READ 3.7 Derivatives of Inverse Functions READ 3.7 Derivatives of Inverse Functions 86

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VIEW 3.7 Derivatives of Inverse Functions-2 VIEW 3.7 Derivatives of Inverse Functions-2 87

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EXERCISES 3.7 Derivatives of Inverse Functions EXERCISES 3.7 Derivatives of Inverse Functions 100 88

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3.8 Implicit Differentiation 89

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LEARNING OBJECTIVES 3.8 Implicit Differentiation-2 LEARNING OBJECTIVES 3.8 Implicit Differentiation-2 90

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READ 3.8 Implicit Differentiation READ 3.8 Implicit Differentiation 91

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VIEW 3.8 Implicit Differentiation-2 VIEW 3.8 Implicit Differentiation-2 92

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EXERCISES 3.8 Implicit Differentiation EXERCISES 3.8 Implicit Differentiation 100 93

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Context Module Sub Header

3.9 Derivatives of Exponential and Logarithmic Functions 94

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LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions-2 LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions-2 95

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READ 3.9 Derivatives of Exponential and Logarithmic Functions READ 3.9 Derivatives of Exponential and Logarithmic Functions 96

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VIEW 3.9 Derivatives of Exponential and Logarithmic Functions-2 VIEW 3.9 Derivatives of Exponential and Logarithmic Functions-2 97

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EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions 100 98

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Context Module Sub Header

Chapter 4 Applications of Derivatives 99

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Context Module Sub Header

4.1 Related Rates 100

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LEARNING OBJECTIVES 4.1 Related Rates-2 LEARNING OBJECTIVES 4.1 Related Rates-2 101

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READ 4.1 Related Rates READ 4.1 Related Rates 102

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VIEW 4.1 Related Rates-2 VIEW 4.1 Related Rates-2 103

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EXERCISES 4.1 Related Rates EXERCISES 4.1 Related Rates 90 104

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Context Module Sub Header

4.2 Linear Approximation and Differentials 105

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LEARNING OBJECTIVES 4.2 Linear Approximations and Differentials-2 LEARNING OBJECTIVES 4.2 Linear Approximations and Differentials-2 106

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External Url

READ 4.2 Linear Approximations and Differentials READ 4.2 Linear Approximations and Differentials 107

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VIEW 4.2 Linear Approximations and Differentials-2 VIEW 4.2 Linear Approximations and Differentials-2 108

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EXERCISES 4.2 Linear Approximations and Differentials EXERCISES 4.2 Linear Approximations and Differentials 60 109

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4.3 Maxima and Minima 110

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LEARNING OBJECTIVES 4.3 Maxima and Minima-2 LEARNING OBJECTIVES 4.3 Maxima and Minima-2 111

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READ 4.3 Maxima and Minima READ 4.3 Maxima and Minima 112

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VIEW 4.3 Maxima and Minima-2 VIEW 4.3 Maxima and Minima-2 113

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EXERCISES 4.3 Maxima and Minima EXERCISES 4.3 Maxima and Minima 100 114

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4.4 The Mean Value Theorem 115

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LEARNING OBJECTIVES 4.4 The Mean Value Theorem-2 LEARNING OBJECTIVES 4.4 The Mean Value Theorem-2 116

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READ 4.4 The Mean Value Theorem READ 4.4 The Mean Value Theorem 117

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VIEW 4.4 The Mean Value Theorem-2 VIEW 4.4 The Mean Value Theorem-2 118

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EXERCISES 4.4 The Mean Value Theorem EXERCISES 4.4 The Mean Value Theorem 50 119

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4.5 Derivatives and the Shape of a Graph 120

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LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph-2 LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph-2 121

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READ 4.5 Derivatives and the Shape of a Graph READ 4.5 Derivatives and the Shape of a Graph 122

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VIEW 4.5 Derivatives and the Shape of a Graph-2 VIEW 4.5 Derivatives and the Shape of a Graph-2 123

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EXERCISES 4.5 Derivatives and the Shape of a Graph EXERCISES 4.5 Derivatives and the Shape of a Graph 100 124

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4.6 Limits at Infinity and Asymptotes 125

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LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes-2 LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes-2 126

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READ 4.6 Limits at Infinity and Asymptotes READ 4.6 Limits at Infinity and Asymptotes 127

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VIEW 4.6 Limits at Infinity and Asymptotes-2 VIEW 4.6 Limits at Infinity and Asymptotes-2 128

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EXERCISES 4.6 Limits at Infinity and Asymptotes EXERCISES 4.6 Limits at Infinity and Asymptotes 20 129

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4.7 Applied Optimization Problems 130

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LEARNING OBJECTIVES 4.7 Applied Optimization Problems-2 LEARNING OBJECTIVES 4.7 Applied Optimization Problems-2 131

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READ 4.7 Applied Optimization Problems READ 4.7 Applied Optimization Problems 132

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VIEW 4.7 Applied Optimization Problems-2 VIEW 4.7 Applied Optimization Problems-2 133

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EXERCISES 4.7 Applied Optimization Problems EXERCISES 4.7 Applied Optimization Problems 20 134

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4.8 L’Hôpital’s Rule 135

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LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule-2 LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule-2 136

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READ 4.8 L’Hôpital’s Rule READ 4.8 L’Hôpital’s Rule 137

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VIEW 4.8 L’Hôpital’s Rule-2 VIEW 4.8 L’Hôpital’s Rule-2 138

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EXERCISES 4.8 L’Hôpital’s Rule EXERCISES 4.8 L’Hôpital’s Rule 30 139

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4.9 Newton’s Method 140

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LEARNING OBJECTIVES 4.9 Newton's Method-2 LEARNING OBJECTIVES 4.9 Newton's Method-2 141

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READ 4.9 Newton's Method READ 4.9 Newton's Method 142

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VIEW 4.9 Newton's Method-2 VIEW 4.9 Newton's Method-2 143

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4.10 Antiderivatives 145

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LEARNING OBJECTIVES 4.10 Antiderivatives-2 LEARNING OBJECTIVES 4.10 Antiderivatives-2 146

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READ 4.10 Anitderivatives READ 4.10 Anitderivatives 147

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VIEW 4.10 Antiderivatives-2 VIEW 4.10 Antiderivatives-2 148

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EXERCISES 4.10 Antiderivatives EXERCISES 4.10 Antiderivatives 30 149

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Chapter 5 Integration 150

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5.1 Approximating Areas 151

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LEARNING OBJECTIVES 5.1 Approximating Areas-2 LEARNING OBJECTIVES 5.1 Approximating Areas-2 152

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READ 5.1 Approximating Areas READ 5.1 Approximating Areas 153

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VIEW 5.1 Approximating Areas-2 VIEW 5.1 Approximating Areas-2 154

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Riemann Sum demonstration-2 Riemann Sum demonstration-2 156

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5.2 The Definite Integral 157

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LEARNING OBJECTIVES 5.2 The Definite Integral-2 LEARNING OBJECTIVES 5.2 The Definite Integral-2 158

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READ 5.2 The Definite Integral READ 5.2 The Definite Integral 159

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VIEW 5.2 The Definite Integral-2 VIEW 5.2 The Definite Integral-2 160

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EXERCISES 5.2 The Definite Integral EXERCISES 5.2 The Definite Integral 30 161

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5.3 The Fundamental Theorem of Calculus 162

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LEARNING OBJECTIVES 5.3 The Fundamental Theorem of Calculus -2 LEARNING OBJECTIVES 5.3 The Fundamental Theorem of Calculus -2 163

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READ 5.3 The Fundamental Theorem of Calculus READ 5.3 The Fundamental Theorem of Calculus 164

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VIEW 5.3 The Fundamental Theorem of Calculus-2 VIEW 5.3 The Fundamental Theorem of Calculus-2 165

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EXERCISES 5.3 The Fundamental Theorem of Calculus EXERCISES 5.3 The Fundamental Theorem of Calculus 20 166

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5.4 Integration Formulas and the Net Change Theorem 167

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LEARNING OBJECTIVES 5.4 Integration Formulas and the Net Change Theorem-2 LEARNING OBJECTIVES 5.4 Integration Formulas and the Net Change Theorem-2 168

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READ 5.4 Integration Formulas and the Net Change Theorem READ 5.4 Integration Formulas and the Net Change Theorem 169

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VIEW 5.4 Integration Formulas and the Net Change Theorem-2 VIEW 5.4 Integration Formulas and the Net Change Theorem-2 170

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EXERCISES 5.4 Integration Formulas and the Net Change Theorem EXERCISES 5.4 Integration Formulas and the Net Change Theorem 50 171

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5.5 Substitution 172

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LEARNING OBJECTIVES 5.5 Substitution -2 LEARNING OBJECTIVES 5.5 Substitution -2 173

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External Url

READ 5.5 Substitution READ 5.5 Substitution 174

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VIEW 5.5 Substitution-2 VIEW 5.5 Substitution-2 175

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EXERCISES 5.5 Substitution EXERCISES 5.5 Substitution 30 176

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5.6 Integrals Involving Exponential and Logarithmic Functions 178

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LEARNING OBJECTIVES 5.6 Integrals Involving Exponential and Logarithmic Functions-2 LEARNING OBJECTIVES 5.6 Integrals Involving Exponential and Logarithmic Functions-2 179

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READ 5.6 Integrals Involving Exponential and Logarithmic Functions READ 5.6 Integrals Involving Exponential and Logarithmic Functions 180

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VIEW 5.6 Integrals Involving Exponential and Logarithmic Functions-2 VIEW 5.6 Integrals Involving Exponential and Logarithmic Functions-2 181

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EXERCISES 5.6 Integrals Involving Exponential & Logarithmic Functions EXERCISES 5.6 Integrals Involving Exponential & Logarithmic Functions 3 182

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Context Module Sub Header

5.7 Integrals Resulting in Inverse Trigonometric Functions 183

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LEARNING OBJECTIVES 5.7 Integrals Resulting in Inverse Trigonometric Functions-2 LEARNING OBJECTIVES 5.7 Integrals Resulting in Inverse Trigonometric Functions-2 184

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READ 5.7 Integrals Resulting in Inverse Trigonometric Functions READ 5.7 Integrals Resulting in Inverse Trigonometric Functions 185

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VIEW 5.7 Integrals Resulting in Inverse Trigonometric Functions-2 VIEW 5.7 Integrals Resulting in Inverse Trigonometric Functions-2 186

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Assignment

EXERCISES 5.7 Integrals Resulting in Inverse Trig Functions EXERCISES 5.7 Integrals Resulting in Inverse Trig Functions 3 187

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Context Module Sub Header

Chapter 6 Applications of Integration 188

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6.1 Areas Between Curves 189

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LEARNING OBJECTIVES 6.1 Areas Between Curves-2 LEARNING OBJECTIVES 6.1 Areas Between Curves-2 190

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External Url

READ 6.1 Areas Between Curves READ 6.1 Areas Between Curves 191

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Section 6.1 Video Lessons - Areas Between Curves -2 Section 6.1 Video Lessons - Areas Between Curves -2 192

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Assignment

EXERCISES 6.1 Areas Between Curves EXERCISES 6.1 Areas Between Curves 170 193

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Context Module Sub Header

6.2 Determining Volumes by Slicing 194

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LEARNING OBJECTIVES 6.2 Determining Volumes by Slicing -2 LEARNING OBJECTIVES 6.2 Determining Volumes by Slicing -2 195

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READ 6.2 Determining Volumes by Slicing READ 6.2 Determining Volumes by Slicing 196

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VIEW 6.2 Determining Volumes by Slicing-2 VIEW 6.2 Determining Volumes by Slicing-2 197

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EXERCISES 6.2 Determining Volumes by Slicing EXERCISES 6.2 Determining Volumes by Slicing 200 198

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Context Module Sub Header

6.3 Volumes of Revolution: Cylindrical Shells 199

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LEARNING OBJECTIVES 6.3 Volumes of Revolution: Cylindrical Shells-2 LEARNING OBJECTIVES 6.3 Volumes of Revolution: Cylindrical Shells-2 200

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READ 6.3 Volumes of Revolution: Cylindrical Shells READ 6.3 Volumes of Revolution: Cylindrical Shells 201

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VIEW 6.3 Volumes of Revolution: Cylindrical Shells-2 VIEW 6.3 Volumes of Revolution: Cylindrical Shells-2 202

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EXERCISES 6.3 Volumes of Revolution: Cylindrical Shells EXERCISES 6.3 Volumes of Revolution: Cylindrical Shells 150 203

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Context Module Sub Header

6.4 Arc Length of a Curve and Surface Area 204

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LEARNING OBJECTIVES 6.4 Arc Length of a Curve and Surface Area-2 LEARNING OBJECTIVES 6.4 Arc Length of a Curve and Surface Area-2 205

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READ 6.4 Arc Length of a Curve and Surface Area READ 6.4 Arc Length of a Curve and Surface Area 206

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VIEW 6.4 Arc Length of a Curve and Surface Area-2 VIEW 6.4 Arc Length of a Curve and Surface Area-2 207

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EXERCISES 6.4. Arc Length of a Curve and Surface Area EXERCISES 6.4. Arc Length of a Curve and Surface Area 110 208

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Context Module Sub Header

6.5 Physical Applications 209

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LEARNING OBJECTIVES 6.5 Physical Applications-2 LEARNING OBJECTIVES 6.5 Physical Applications-2 210

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External Url

READ 6.5 Physical Applications READ 6.5 Physical Applications 211

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VIEW 6.5 Physical Applications-2 VIEW 6.5 Physical Applications-2 212

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EXERCISES 6.5 Physical Applications EXERCISES 6.5 Physical Applications 250 213

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6.6 Moments and Centers of Mass 214

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LEARNING OBJECTIVES 6.6 Moments and Centers of Mass-2 LEARNING OBJECTIVES 6.6 Moments and Centers of Mass-2 215

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READ 6.6 Moments and Centers of Mass READ 6.6 Moments and Centers of Mass 216

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VIEW 6.6 Moments and Centers of Mass-2 VIEW 6.6 Moments and Centers of Mass-2 217

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EXERCISES 6.6 Moments and Centers of Mass EXERCISES 6.6 Moments and Centers of Mass 10 218

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6.7 Integrals, Exponential Functions, and Logarithms 219

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LEARNING OBJECTIVES 6.7 Integrals, Exponential Functions, and Logarithms-2 LEARNING OBJECTIVES 6.7 Integrals, Exponential Functions, and Logarithms-2 220

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READ 6.7 Integrals, Exponential Functions, and Logarithms READ 6.7 Integrals, Exponential Functions, and Logarithms 221

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VIEW 6.7 Integrals, Exponential Functions, and Logarithms-2 VIEW 6.7 Integrals, Exponential Functions, and Logarithms-2 222

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EXERCISES 6.7 Integrals, Exponential Functions, and Logarithms EXERCISES 6.7 Integrals, Exponential Functions, and Logarithms 13 223

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6.8 Exponential Growth and Decay 224

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LEARNING OBJECTIVES 6.8 Exponential Growth and Decay-2 LEARNING OBJECTIVES 6.8 Exponential Growth and Decay-2 225

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External Url

READ 6.8 Exponential Growth and Decay READ 6.8 Exponential Growth and Decay 226

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VIEW 6.8 Exponential Growth and Decay-2 VIEW 6.8 Exponential Growth and Decay-2 227

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EXERCISES 6.8 Exponential Growth and Decay EXERCISES 6.8 Exponential Growth and Decay 310 228

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6.9 Calculus of the Hyperbolic Functions 229

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LEARNING OBJECTIVES 6.9 Calculus of the Hyperbolic Functions-2 LEARNING OBJECTIVES 6.9 Calculus of the Hyperbolic Functions-2 230

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READ 6.9 Calculus of the Hyperbolic Functions READ 6.9 Calculus of the Hyperbolic Functions 231

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VIEW 6.9 Calculus of Hyperbolic Functions-2 VIEW 6.9 Calculus of Hyperbolic Functions-2 232

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Assignment

EXERCISES 6.9 Calculus of Hyperbolic Functions EXERCISES 6.9 Calculus of Hyperbolic Functions 170 233

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Course Modules

Imported Content

May 17 Thurs Lecture Note

May 12 Thurs Lecture Notes

May 10 Thurs Lecture Note

May 5 Thurs Lecture Note

Apr 26 Tues Lecture Notes

Apr 21 Thurs Lecture Note

April 19th Tues Lecture Note

Apr 14th Thurs Lecture Note

April 12th Tues Lecture Note

Apr 7th Thurs Lecture Note

Apr 5th Tues Lecture Note

Mar 22 Tues Lecture Note

Mar 17 Thurs Lecture Note

Mar 10 Thurs Lecture Notes

Mar 8 Tuesday Lecture Notes

Mar 3 Thursday Lecture Notes

Mar 1 Tuesday Lecture Notes

Feb 22 Tuesday Lecture Notes

Feb 17 Thursday Lecture Notes

Feb 15 Tuesday Lecture Notes

Feb 10 Thursday Lecture Notes

Feb 8 Tuesday Lecture Notes

Student Orientation

Calc 1

Chapter 1 Functions and Graphs 1

1.1 Review of Functions 2

1.2 Basic Classes of Functions 7

1.3 Trigonometric Functions 12

1.4 Inverse Functions 17

1.5 Exponential and Logarithmic Functions 22

Chapter 2 Limits 27

2.1 A Preview of Calculus 28

2.2 The Limit of a Function 33

2.3 The Limit Laws 38

2.4 Continuity 43

2.5 The Precise Definition of Limit 48

Chapter 3 The Derivative 53

3.1 Defining the Derivative 54

3.2 The Derivative as a Function 59

3.3 Differentiation Rules 64

3.4 Derivatives as Rates of Change 69

3.5 Derivatives of Trigonometric Functions 74

3.6 The Chain Rule 79

3.7 Derivatives of Inverse Functions 84

3.8 Implicit Differentiation 89

3.9 Derivatives of Exponential and Logarithmic Functions 94

Chapter 4 Applications of Derivatives 99

4.1 Related Rates 100

4.2 Linear Approximation and Differentials 105

4.3 Maxima and Minima 110

4.4 The Mean Value Theorem 115

4.5 Derivatives and the Shape of a Graph 120

4.6 Limits at Infinity and Asymptotes 125

4.7 Applied Optimization Problems 130

4.8 L&rsquo;H&ocirc;pital&rsquo;s Rule 135

4.9 Newton&rsquo;s Method 140

4.10 Antiderivatives 145

Chapter 5 Integration 150

5.1 Approximating Areas 151

5.2 The Definite Integral 157

5.3 The Fundamental Theorem of Calculus 162

5.4 Integration Formulas and the Net Change Theorem 167

5.5 Substitution 172

5.6 Integrals Involving Exponential and Logarithmic Functions 178

5.7 Integrals Resulting in Inverse Trigonometric Functions 183

Chapter 6 Applications of Integration 188

6.1 Areas Between Curves 189

6.2 Determining Volumes by Slicing 194

6.3 Volumes of Revolution: Cylindrical Shells 199

6.4 Arc Length of a Curve and Surface Area 204

6.5 Physical Applications 209

6.6 Moments and Centers of Mass 214

6.7 Integrals, Exponential Functions, and Logarithms 219

6.8 Exponential Growth and Decay 224

6.9 Calculus of the Hyperbolic Functions 229

Landing Page

Calc 1

Chapter 1 Functions and Graphs 1

4.8 L’Hôpital’s Rule 135

4.9 Newton’s Method 140

4.8 L’Hôpital’s Rule 135

4.9 Newton’s Method 140