Course Modules: MATH-3A-Calculus I-B4-40457

For This Course: Orientation, Resources, and Support

For This Course: Orientation, Resources, and Support For This Course: Orientation, Resources, and Support

Page

00 - Class Notes 00 - Class Notes 1

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Page

00 Office Hour Sessions Days and Times 00 Office Hour Sessions Days and Times 2

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Page

00 - Resources 00 - Resources 3

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Page

00-Pre-recorded Video Lectures 00-Pre-recorded Video Lectures 4

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Page

00 - Lecture Notes 00 - Lecture Notes 5

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External Url

BCC Learning Resources Center BCC Learning Resources Center 6

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Page

001 - Lectures & Class Notes from Fall 2021 001 - Lectures & Class Notes from Fall 2021 7

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Wk 1 - Aug 20, 22

Wk 1 - Aug 20, 22 Wk 1 - Aug 20, 22

Page

01-01 Section 1.1 Four Ways to Represent a Function 01-01 Section 1.1 Four Ways to Represent a Function 1

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Assignment

HW 1.1 Four Ways to Represent a Function HW 1.1 Four Ways to Represent a Function 19 2

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Page

01 Appendix D Trigonometry Review 01 Appendix D Trigonometry Review 3

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Assignment

Lecture: Trig Review Lecture: Trig Review 0 4

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Assignment

HW Trigonometry Review HW Trigonometry Review 18 5

assignment 4261586 1

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Wk 2 - Aug 27, 29

Wk 2 - Aug 27, 29 Wk 2 - Aug 27, 29

Page

01-04 Section 1.4 Exponential Functions 01-04 Section 1.4 Exponential Functions 1

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Assignment

HW 1.4 Exponent & Radical Rules and Exponential Functions HW 1.4 Exponent & Radical Rules and Exponential Functions 29 2

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Page

01-05 Section 1.5 Inverse Functions and Logarithms 01-05 Section 1.5 Inverse Functions and Logarithms 3

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Assignment

Lecture: Sec 1.4, 1.5 Lecture: Sec 1.4, 1.5 0 4

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Assignment

HW 1.5 Inverse Functions and Logarithms HW 1.5 Inverse Functions and Logarithms 16 5

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Quiz

Self-Assessment Ch 1 Preliminaries Self-Assessment Ch 1 Preliminaries 5 9

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Discussion Topic

Ch 1 Preliminaries - Show an Example Ch 1 Preliminaries - Show an Example 2 10

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Wk 3 - Sep 3, 5

Wk 3 - Sep 3, 5 Wk 3 - Sep 3, 5

Page

02-01 Section 2.1 The Tangent and Velocity Problems 02-01 Section 2.1 The Tangent and Velocity Problems 1

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Assignment

Lecture: 2.1 The Tangent Problem: Difference Quotient Lecture: 2.1 The Tangent Problem: Difference Quotient 0 2

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Assignment

HW 2.1 The Tangent and Velocity Problems HW 2.1 The Tangent and Velocity Problems 7 3

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Page

02-02 Section 2.2 The Limit of a Function 02-02 Section 2.2 The Limit of a Function 4

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Assignment

Lecture: 2.2 The Limit of a Function Lecture: 2.2 The Limit of a Function 0 5

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Assignment

HW 2.2 The Limit of a Function HW 2.2 The Limit of a Function 15 6

assignment 4266767 1

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Page

02-03 Section 2.3 Calculating Limits Using the Limit Laws 02-03 Section 2.3 Calculating Limits Using the Limit Laws 7

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Assignment

Lecture: 2.3 Calculating Limits Using the Limit Laws Lecture: 2.3 Calculating Limits Using the Limit Laws 0 8

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Assignment

HW 2.3 Calculating Limits HW 2.3 Calculating Limits 15 9

assignment 4266766 1

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Wk 4 - Sep 10, 12

Wk 4 - Sep 10, 12 Wk 4 - Sep 10, 12

Page

02-04 Section 2.4 The Precise Definition of a Limit 02-04 Section 2.4 The Precise Definition of a Limit 1

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Assignment

Lecture: 2.4 The Precise Definition of the Limit of a Function Lecture: 2.4 The Precise Definition of the Limit of a Function 0 2

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Assignment

HW 2.4 The Precise Definition of a Limit HW 2.4 The Precise Definition of a Limit 10 3

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Page

02-05 Section 2.5 Continuity 02-05 Section 2.5 Continuity 4

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Assignment

Lecture: 2.5 Continuity Lecture: 2.5 Continuity 0 5

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Assignment

HW 2.5 Continuity HW 2.5 Continuity 13 6

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Wk 5 - Sep 17, 19

Wk 5 - Sep 17, 19 Wk 5 - Sep 17, 19

Page

02-06 Section 2.6 Limits at Infinity; Horizontal Asymptotes 02-06 Section 2.6 Limits at Infinity; Horizontal Asymptotes 1

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Assignment

Lecture: 2.6 Limits at Infinity: Infinite Limits Lecture: 2.6 Limits at Infinity: Infinite Limits 0 2

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Assignment

Lecture: 2.6 Limits at Infinity: Horizontal Asymptotes Lecture: 2.6 Limits at Infinity: Horizontal Asymptotes 0 3

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Assignment

HW 2.6 Limits at Infinity HW 2.6 Limits at Infinity 13 4

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Page

02-07 Section 2.7 Derivatives and Rates of Change 02-07 Section 2.7 Derivatives and Rates of Change 5

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Assignment

Lecture: 2.7 Derivatives and Rates of Change Lecture: 2.7 Derivatives and Rates of Change 0 6

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Assignment

HW 2.7 Derivatives and Rates HW 2.7 Derivatives and Rates 10 7

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Wk 6 - Sep 24, 26

Wk 6 - Sep 24, 26 Wk 6 - Sep 24, 26

Page

02-08 Section 2.8 The Derivative as a Function 02-08 Section 2.8 The Derivative as a Function 1

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Assignment

Lecture: 2.8 Derivative as a Function Lecture: 2.8 Derivative as a Function 0 2

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Assignment

HW 2.8 The Derivative as a Function HW 2.8 The Derivative as a Function 17 3

assignment 4268987 1

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Page

03-01 Section 3.1 Derivatives of Polynomials and Exponential Functions 03-01 Section 3.1 Derivatives of Polynomials and Exponential Functions 4

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Assignment

Lecture: 3.1 Derivatives of Polynomials Lecture: 3.1 Derivatives of Polynomials 0 5

assignment 4259160 1

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Assignment

Lecture: 3.1 Derivatives of Exponentials Lecture: 3.1 Derivatives of Exponentials 0 6

assignment 4259161 1

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Assignment

HW 3.1 Derivatives of Polynomials and Exponential Functions HW 3.1 Derivatives of Polynomials and Exponential Functions 17 7

assignment 4268988 1

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Quiz

Self Assessment Ch 2 Limits Self Assessment Ch 2 Limits 5 8

quiz 4259153 1

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Discussion Topic

Ch 2 Limits - Show an Example Ch 2 Limits - Show an Example 2 9

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QUIZ Ch 2 - Due Sep 29 (Worth 2.5% - CLOSES Oct 13)

QUIZ Ch 2 - Due Sep 29 (Worth 2.5% - CLOSES Oct 13) QUIZ Ch 2 - Due Sep 29 (Worth 2.5% - CLOSES Oct 13)

Assignment

Quiz Ch 2 Limits Quiz Ch 2 Limits 9 1

assignment 4278066 1

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Exam 1 - Oct 1st - Ch 1 & 2: Preliminaries, Limits, and the Limit Defintion of the Derivative

Exam 1 - Oct 1st - Ch 1 & 2: Preliminaries, Limits, and the Limit Defintion of the Derivative Exam 1 - Oct 1st - Ch 1 & 2: Preliminaries, Limits, and the Limit Defintion of the Derivative

Assignment

Exam 1 PRACTICE Questions Exam 1 PRACTICE Questions 17 2

assignment 4259155 1

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Assignment

Exam 1 Exam 1 9 3

assignment 4259156 1

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Wk 7 - Oct 1, 3

Wk 7 - Oct 1, 3 Wk 7 - Oct 1, 3

Page

03-02 Section 3.2 The Product and Quotient Rules 03-02 Section 3.2 The Product and Quotient Rules 1

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Assignment

Lecture: 3.2 The Product and Quotient Rules Lecture: 3.2 The Product and Quotient Rules 0 2

assignment 4259163 1

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Assignment

HW 3.2 The Product and Quotient Rules HW 3.2 The Product and Quotient Rules 15 3

assignment 4268990 1

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Page

03-03 Section 3.3 Derivatives of Trigonometric Functions 03-03 Section 3.3 Derivatives of Trigonometric Functions 4

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Assignment

Lecture: 3.3 Derivatives of Trigonometric Functions Lecture: 3.3 Derivatives of Trigonometric Functions 0 5

assignment 4259166 1

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Assignment

HW 3.3 Derivatives of Trigonometric Functions HW 3.3 Derivatives of Trigonometric Functions 15 6

assignment 4268991 1

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Wk 8 - Oct 8, 10

Wk 8 - Oct 8, 10 Wk 8 - Oct 8, 10

Page

03-04 Section 3.4 The Chain Rule 03-04 Section 3.4 The Chain Rule 1

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Assignment

Lecture: 3.4 Derivatives: The Chain Rule Lecture: 3.4 Derivatives: The Chain Rule 0 2

assignment 4259168 1

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Assignment

HW 3.4 The Chain Rule HW 3.4 The Chain Rule 25 3

assignment 4268994 1

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Page

03-05 Section 3.5 Implicit Differentiation 03-05 Section 3.5 Implicit Differentiation 4

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Assignment

Lecture: 3.5 Implicit Differentiation Lecture: 3.5 Implicit Differentiation 0 5

assignment 4259170 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
Assignment

Lecture: 3.5 Implicit Differentiation: Derivatives of Inverse Trig Functions Lecture: 3.5 Implicit Differentiation: Derivatives of Inverse Trig Functions 0 6

assignment 4259171 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
Assignment

HW 3.5 Implicit Differentation HW 3.5 Implicit Differentation 15 7

assignment 4268995 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

Wk 9 - Oct 15, 17

Wk 9 - Oct 15, 17 Wk 9 - Oct 15, 17

Page

03-06 Section 3.6 Derivatives of Logarithmic Functions 03-06 Section 3.6 Derivatives of Logarithmic Functions 1

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Assignment

Lecture: 3.6 Derivatives of Logarithmic Functions Lecture: 3.6 Derivatives of Logarithmic Functions 0 2

assignment 4259175 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
Assignment

HW 3.6 Derivatives of Logarithmic Functions HW 3.6 Derivatives of Logarithmic Functions 14 3

assignment 4269015 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
Page

03-07 Section 3.7 Rates of Change in the Natural and Social Sciences 03-07 Section 3.7 Rates of Change in the Natural and Social Sciences 4

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Assignment

HW 3.7 Rates of Change in the Natural and Social Sciences HW 3.7 Rates of Change in the Natural and Social Sciences 11 5

assignment 4269016 1

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Wk 10 - Oct 22, 24

Wk 10 - Oct 22, 24 Wk 10 - Oct 22, 24

Page

03-09 Section 3.9 Related Rates 03-09 Section 3.9 Related Rates 1

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Assignment

Lecture: 3.9 Related Rates Lecture: 3.9 Related Rates 0 2

assignment 4259179 1

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Assignment

HW 3.9 Related Rates HW 3.9 Related Rates 11 3

assignment 4269021 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
Page

03-10 Section 3.10 Linear Approximations and Differentials 03-10 Section 3.10 Linear Approximations and Differentials 4

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Assignment

Lecture: 3.10 Linear Approximation and Differentials Lecture: 3.10 Linear Approximation and Differentials 0 5

assignment 4259181 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
Assignment

HW 3.10 Linear Approximation and Differentials HW 3.10 Linear Approximation and Differentials 9 6

assignment 4269022 1

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Page

03-11 Section 3.11 Hyperbolic Functions 03-11 Section 3.11 Hyperbolic Functions 7

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Assignment

HW 3.11 Hyperbolic Functions HW 3.11 Hyperbolic Functions 11 8

assignment 4269023 1

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Quiz

Self Assessment Ch 3 Derivatives Self Assessment Ch 3 Derivatives 5 9

quiz 4259184 1

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Discussion Topic

Ch 3 Derivatives - Show an Example Ch 3 Derivatives - Show an Example 2 10

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QUIZ Ch 3 - Due Oct 30 (Worth 2.5% - CLOSES Nov 10)

QUIZ Ch 3 - Due Oct 30 (Worth 2.5% - CLOSES Nov 10) QUIZ Ch 3 - Due Oct 30 (Worth 2.5% - CLOSES Nov 10)

Assignment

Quiz Ch 3 Differentiation Rules Quiz Ch 3 Differentiation Rules 8 1

assignment 4278067 1

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Wk 11 - Oct 29, 31

Wk 11 - Oct 29, 31 Wk 11 - Oct 29, 31

Page

04-01 Section 4.1 Maximum and Minimum Values 04-01 Section 4.1 Maximum and Minimum Values 1

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Assignment

HW 4.1 Maximum and Minimum Values HW 4.1 Maximum and Minimum Values 12 2

assignment 4269026 1

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Page

04-02 Section 4.2 The Mean Value Theorem 04-02 Section 4.2 The Mean Value Theorem 3

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Assignment

HW 4.2 The Mean Value Theorem HW 4.2 The Mean Value Theorem 8 4

assignment 4269027 1

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04-03 Section 4.3 How Derivatives Affect the Shape of a Graph 04-03 Section 4.3 How Derivatives Affect the Shape of a Graph 5

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Assignment

HW 4.3 How Derivatives Affect the Shape of a Graph HW 4.3 How Derivatives Affect the Shape of a Graph 15 6

assignment 4271099 1

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04-05 Section 4.5 Summary of Curve Sketching 04-05 Section 4.5 Summary of Curve Sketching 7

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Assignment

HW 4.5 Summary of Curve Sketching HW 4.5 Summary of Curve Sketching 9 8

assignment 4271100 1

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Exam 2 - NOV 5th - Ch 3: Derivatives

Exam 2 - NOV 5th - Ch 3: Derivatives Exam 2 - NOV 5th - Ch 3: Derivatives

Assignment

Exam 2 (Derivatives) Exam 2 (Derivatives) 9 1

assignment 4259189 1

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Assignment

Exam 2 PRACTICE Questions Exam 2 PRACTICE Questions 24 4

assignment 4259192 1

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Wk 12 - Nov 5, 7

Wk 12 - Nov 5, 7 Wk 12 - Nov 5, 7

Page

04-04 Section 4.4 Indeterminate Forms and L'Hospital's Rule 04-04 Section 4.4 Indeterminate Forms and L'Hospital's Rule 1

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Assignment

Lecture: 4.4 L'Hospital's Rule: Indeterminate Products Lecture: 4.4 L'Hospital's Rule: Indeterminate Products 0 2

assignment 4259196 1

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Assignment

Lecture: 4.4 L'Hospital's Rule: Indeterminate Difference Lecture: 4.4 L'Hospital's Rule: Indeterminate Difference 0 3

assignment 4259197 1

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Assignment

Lecture: 4.4 L'Hospital's Rule: Indeterminate Powers Lecture: 4.4 L'Hospital's Rule: Indeterminate Powers 0 4

assignment 4259198 1

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Assignment

HW 4.4 L'Hospital's Rule HW 4.4 L'Hospital's Rule 18 5

assignment 4271428 1

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Page

04-07 Section 4.7 Optimization Problems 04-07 Section 4.7 Optimization Problems 6

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Assignment

Lecture: 4.7 Optimization Problems Lecture: 4.7 Optimization Problems 0 7

assignment 4259202 1

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Assignment

HW 4.7 Optimization Problems HW 4.7 Optimization Problems 15 8

assignment 4271429 1

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Wk 13 - Nov 12, 14

Wk 13 - Nov 12, 14 Wk 13 - Nov 12, 14

Page

04-08 Section 4.8 Newton's Method 04-08 Section 4.8 Newton's Method 1

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Assignment

Lecture: 4.8 Newton's Method Lecture: 4.8 Newton's Method 0 2

assignment 4259204 1

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Assignment

HW 4.8 Newton's Method HW 4.8 Newton's Method 7 3

assignment 4271431 1

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Page

04-09 Section 4.9 Antiderivatives 04-09 Section 4.9 Antiderivatives 4

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Assignment

Lecture: 4.9 Antiderivatives Lecture: 4.9 Antiderivatives 0 5

assignment 4259206 1

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Assignment

Lecture: 4.9 Antiderivatives: Initial Value Problems Lecture: 4.9 Antiderivatives: Initial Value Problems 0 6

assignment 4259207 1

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Assignment

HW 4.9 Antiderivatives HW 4.9 Antiderivatives 21 7

assignment 4271432 1

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Quiz

Self Assessment Ch 4 Applications of the Derivative Self Assessment Ch 4 Applications of the Derivative 5 8

quiz 4259210 1

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Discussion Topic

Ch 4 Applications of the Derivative - Show an Example Ch 4 Applications of the Derivative - Show an Example 2 9

discussion_topic 4259211 1

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Wk 14 - Nov 19, 21

Wk 14 - Nov 19, 21 Wk 14 - Nov 19, 21

Page

05-01 Section 5.1 Areas and Distances 05-01 Section 5.1 Areas and Distances 1

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Assignment

HW 5.1 Areas and Distances HW 5.1 Areas and Distances 7 2

assignment 4271434 1

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Page

05-02 Section 5.2 The Definite Integral 05-02 Section 5.2 The Definite Integral 3

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Assignment

HW 5.2 The Definite Integral HW 5.2 The Definite Integral 12 4

assignment 4271435 1

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QUIZ Ch 4 - Due Nov 20 (Worth 2.5% - CLOSES Dec 15)

QUIZ Ch 4 - Due Nov 20 (Worth 2.5% - CLOSES Dec 15) QUIZ Ch 4 - Due Nov 20 (Worth 2.5% - CLOSES Dec 15)

Assignment

Quiz Ch 4 Applications of Diffferentiation Quiz Ch 4 Applications of Diffferentiation 8 1

assignment 4278068 1

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Wk 15 - Nov 26 (Nov 28 HOLIDAY)

Wk 15 - Nov 26 (Nov 28 HOLIDAY) Wk 15 - Nov 26 (Nov 28 HOLIDAY)

Page

05-03 Section 5.3 Fundamental Theorem of Calculus 05-03 Section 5.3 Fundamental Theorem of Calculus 1

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Assignment

HW 5.3 The Fundamental Theorem of Calculus HW 5.3 The Fundamental Theorem of Calculus 25 2

assignment 4271436 1

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Page

05-04 Section 5.4 Indefinite Integrals and the Net Change Theorem 05-04 Section 5.4 Indefinite Integrals and the Net Change Theorem 3

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Assignment

HW 5.4 Indefinite Integrals and the Net Change Theorem HW 5.4 Indefinite Integrals and the Net Change Theorem 12 4

assignment 4271438 1

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Wk 16 - Dec 3, 5

Wk 16 - Dec 3, 5 Wk 16 - Dec 3, 5

Page

05-05 Section 5.5 The Substitution Rule-2 05-05 Section 5.5 The Substitution Rule-2 1

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Assignment

Lecture: 5.5 The Substitution Rule Lecture: 5.5 The Substitution Rule 0 2

assignment 4259220 1

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Page

06-01 Section 6.1 Areas Between Curves 06-01 Section 6.1 Areas Between Curves 3

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Quiz

Self Assessment Ch 5 Integrals Self Assessment Ch 5 Integrals 5 5

quiz 4259223 1

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Discussion Topic

Ch 5 Integrals - Show an Example Ch 5 Integrals - Show an Example 2 6

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Assignment

HW 5.5 The Substitution Rule HW 5.5 The Substitution Rule 21 7

assignment 4515259 1

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QUIZ Ch 5 - Due Dec 8 (Worth 2.5% - CLOSES Dec 15)

QUIZ Ch 5 - Due Dec 8 (Worth 2.5% - CLOSES Dec 15) QUIZ Ch 5 - Due Dec 8 (Worth 2.5% - CLOSES Dec 15)

Assignment

Quiz Ch 5 Integrals Quiz Ch 5 Integrals 9 1

assignment 4278069 1

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Wk 17 - Dec 12th - Exam 3 (FINALS WEEK)

Wk 17 - Dec 12th - Exam 3 (FINALS WEEK) Wk 17 - Dec 12th - Exam 3 (FINALS WEEK)

Assignment

Exam 3 PRACTICE Questions Exam 3 PRACTICE Questions 40 1

assignment 4259225 1

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Assignment

Exam 3 (Applications of the Derivative, Fundamental Thm of Calculus) Exam 3 (Applications of the Derivative, Fundamental Thm of Calculus) 9 2

assignment 4259226 1

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Alternate Text: Chapter 1 Pre-Calculus Review

Alternate Text: Chapter 1 Pre-Calculus Review Alternate Text: Chapter 1 Pre-Calculus Review

Context Module Sub Header

Chapter Readings 1

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External Url

1 Introduction 1 Introduction 2

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External Url

1.1 Review of Functions 1.1 Review of Functions 3

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External Url

1.2 Basic Classes of Functions 1.2 Basic Classes of Functions 4

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External Url

1.3 Trigonometric Functions 1.3 Trigonometric Functions 5

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External Url

1.4 Inverse Functions 1.4 Inverse Functions 6

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External Url

1.5 Exponential and Logarithmic Functions 1.5 Exponential and Logarithmic Functions 7

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Alternate Text: Chapter 2 Intro to Limits

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2 Introduction 2 Introduction 2

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2.1 A Preview of Calculus 2.1 A Preview of Calculus 3

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2.2 The Limit of a Function 2.2 The Limit of a Function 4

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2.3 The Limit Laws 2.3 The Limit Laws 5

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2.4 Continuity 2.4 Continuity 6

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2.5 The Precise Definition of a Limit 2.5 The Precise Definition of a Limit 7

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Alternate Text: Chapter 3 Derivatives

Alternate Text: Chapter 3 Derivatives Alternate Text: Chapter 3 Derivatives

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3 Introduction 3 Introduction 2

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3.1 Defining the Derivative 3.1 Defining the Derivative 3

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3.2 The Derivative as a Function 3.2 The Derivative as a Function 4

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3.3 Differentiation Rules 3.3 Differentiation Rules 5

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3.4 Derivatives as Rates of Change 3.4 Derivatives as Rates of Change 6

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3.5 Derivatives of Trigonometric Functions 3.5 Derivatives of Trigonometric Functions 7

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3.6 The Chain Rule 3.6 The Chain Rule 8

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3.7 Derivatives of Inverse Functions 3.7 Derivatives of Inverse Functions 9

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3.8 Implicit Differentiation 3.8 Implicit Differentiation 10

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3.9 Derivatives of Exponential and Logarithmic Functions 3.9 Derivatives of Exponential and Logarithmic Functions 11

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Alternate Text: Chapter 4 Applications of the Derivative

Alternate Text: Chapter 4 Applications of the Derivative Alternate Text: Chapter 4 Applications of the Derivative

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Chapter Readings 1

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4 Introduction 4 Introduction 2

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4.1 Related Rates 4.1 Related Rates 3

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4.2 Linear Approximations and Differentials 4.2 Linear Approximations and Differentials 4

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4.3 Maxima and Minima 4.3 Maxima and Minima 5

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4.4 The Mean Value Theorem 4.4 The Mean Value Theorem 6

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4.5 Derivatives and the Shape of a Graph 4.5 Derivatives and the Shape of a Graph 7

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4.6 Limits at Infinity and Asymptotes 4.6 Limits at Infinity and Asymptotes 8

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4.7 Applied Optimization Problems 4.7 Applied Optimization Problems 9

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4.8 L’Hôpital’s Rule 4.8 L’Hôpital’s Rule 10

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4.9 Newton’s Method 4.9 Newton’s Method 11

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4.10 Antiderivatives 4.10 Antiderivatives 12

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Alternate Text: Chapter 5 Introduction to Integrals

Alternate Text: Chapter 5 Introduction to Integrals Alternate Text: Chapter 5 Introduction to Integrals

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5 Introduction 5 Introduction 2

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5.1 Approximating Areas 5.1 Approximating Areas 3

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5.2 The Definite Integral 5.2 The Definite Integral 4

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5.3 The Fundamental Theorem of Calculus 5.3 The Fundamental Theorem of Calculus 5

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5.4 Integration Formulas and the Net Change Theorem 5.4 Integration Formulas and the Net Change Theorem 6

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5.5 Substitution 5.5 Substitution 7

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5.6 Integrals Involving Exponential and Logarithmic Functions 5.6 Integrals Involving Exponential and Logarithmic Functions 8

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5.7 Integrals Resulting in Inverse Trigonometric Functions 5.7 Integrals Resulting in Inverse Trigonometric Functions 9

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Alternate Text: Chapter 6 Applications of Integration (Math 3B material)

Alternate Text: Chapter 6 Applications of Integration (Math 3B material) Alternate Text: Chapter 6 Applications of Integration (Math 3B material)

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Chapter Readings 1

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6 Introduction 6 Introduction 2

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6.1 Areas between Curves 6.1 Areas between Curves 3

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6.2 Determining Volumes by Slicing 6.2 Determining Volumes by Slicing 4

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6.3 Volumes of Revolution: Cylindrical Shells 6.3 Volumes of Revolution: Cylindrical Shells 5

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6.4 Arc Length of a Curve and Surface Area 6.4 Arc Length of a Curve and Surface Area 6

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6.5 Physical Applications 6.5 Physical Applications 7

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6.6 Moments and Centers of Mass 6.6 Moments and Centers of Mass 8

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6.7 Integrals, Exponential Functions, and Logarithms 6.7 Integrals, Exponential Functions, and Logarithms 9

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6.8 Exponential Growth and Decay 6.8 Exponential Growth and Decay 10

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6.9 Calculus of the Hyperbolic Functions 6.9 Calculus of the Hyperbolic Functions 11

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Table of Integrals Table of Integrals 12

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Table of Derivatives Table of Derivatives 13

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Review of Pre-Calculus Review of Pre-Calculus 14

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Course Modules

For This Course: Orientation, Resources, and Support

Wk 1 - Aug 20, 22

Wk 2 - Aug 27, 29

Wk 3 - Sep 3, 5

Wk 4 - Sep 10, 12

Wk 5 - Sep 17, 19

Wk 6 - Sep 24, 26

QUIZ Ch 2 - Due Sep 29 (Worth 2.5% - CLOSES Oct 13)

Exam 1 - Oct 1st - Ch 1 & 2: Preliminaries, Limits, and the Limit Defintion of the Derivative

Wk 7 - Oct 1, 3

Wk 8 - Oct 8, 10

Wk 9 - Oct 15, 17

Wk 10 - Oct 22, 24

QUIZ Ch 3 - Due Oct 30 (Worth 2.5% - CLOSES Nov 10)

Wk 11 - Oct 29, 31

Exam 2 - NOV 5th - Ch 3: Derivatives

Wk 12 - Nov 5, 7

Wk 13 - Nov 12, 14

Wk 14 - Nov 19, 21

QUIZ Ch 4 - Due Nov 20 (Worth 2.5% - CLOSES Dec 15)

Wk 15 - Nov 26 (Nov 28 HOLIDAY)

Wk 16 - Dec 3, 5

QUIZ Ch 5 - Due Dec 8 (Worth 2.5% - CLOSES Dec 15)

Wk 17 - Dec 12th - Exam 3 (FINALS WEEK)

Alternate Text: Chapter 1 Pre-Calculus Review

Chapter Readings 1

Alternate Text: Chapter 2 Intro to Limits

Chapter Readings 1

Alternate Text: Chapter 3 Derivatives

Chapter Readings 1

Alternate Text: Chapter 4 Applications of the Derivative

Chapter Readings 1

Alternate Text: Chapter 5 Introduction to Integrals

Chapter Readings 1

Alternate Text: Chapter 6 Applications of Integration (Math 3B material)

Chapter Readings 1