Course Syllabus

Fall 2026 - Math 3B – Calculus II (Class Code 40052)

Instructor: Kelly Pernell       Email: kpernell@peralta.edu  Office Location: Berkeley MAIN, Rm 353

Note: Please send me email through the Canvas Inbox. It is easier for me to find your messages!

Class Hours and Location: Mondays & Wednesdays 10:00am - 12:15pm, BCC WEST, Rm 604

Canvas Class Web site: https://peralta.instructure.com/courses/89563

Office Hours

  • Tue & Thu 3:45 - 4:45 pm (US Pacific Standard Time) in person at BCC, at the MESA Center on the 5th floor of BCC MAIN
  • Mon & Wed 12:15pm - 1:30pm Learning Resources Center, BCC WEST, Room 203 

YouTube Channel:
https://www.youtube.com/@kellypernell3298/playlists

Textbook and Required Materials

This course uses the following textbook as a guide and schedule to present the content of the course:

Calculus, Early Transcendentals, 9th Edition
by James Stewart, Daniel Clegg, Saleem Watson
Cengage
ISBN 978-1-337-61392-7

Chapters 6 – 11 and a few sections from Chapter 5 will be covered.

Please see the Modules section of the Canvas Class web site for a calendar/schedule of the specific sections and topics that we will work on each week.

To save textbook costs, you are NOT required to purchase the textbook. In the last few modules of the Canvas class website, you will find a free online textbook from OpenStax. It contains instruction and examples for all the content covered in the course.

Online Required Materials

You will need a laptop or mobile device and an internet connection to access the Canvas site, connect to YouTube and Zoom videos.

You will need access to a scientific calculator to evaluate logarithmic and trigonometric calculations.Though a graphing calculator is not required for this course, I strongly encourage students to use one as a learning tool.

The online free app Desmos.com is a wonderful graphing calculator tool to use for the class.

AI Use in This Class

The goal of homework in this course is to develop your mathematical reasoning, problem-solving skills, and ability to communicate mathematical ideas clearly.

While AI tools can be useful for learning, inappropriate use can undermine this goal. Please practice your mathematical writing by writing up your own solutions to all problems.

Your exams are worth 50% of your overall grade. All problems on the exams will come directly from the homework assignments. 

All exams will be in-person, and paper-based.

Please practice your mathematical writing abilities.

Maximize your learning by using AI responsibly.

  • Think of AI like a calculator: sometimes it’s helpful; sometimes it’s not allowed; sometimes it's restricted (e.g. graphing vs scientific kinds).
  • You still need mathematical knowledge to use a calculator correctly. The same thing applies to using AI.
  • When stuck, struggle productively before looking at the solution—this deepens learning.
  • Math ability grows with practice and persistence, and especially with some struggles. It doesn't grow so much by simply copying solutions from other people or AI sources.

Homework Assignments

The course is separated into 4 Parts.

  • Part 1: Techniques of Integration
  • Part 2: Applications of Integration
  • Part 3: Series
  • Part 4: Differential, Parametric, and Polar Equations

Each Part is worth 10% of your course grade, making all Homework worth a total of 40% of your grade.

Homework assignments are designed as mastery-based assessments of your knowledge.

  • For each problem in an assignment, you have 3 chances to enter the correct answer.
    • If you do not get the correct answer after the third try, you can click the button "get a similar question" to try again.
  • You can move through an assignment and complete problems in any order (i.e. you can skip challenging problems and come back).

This course covers 2 - 3 sections each week.

  • Most homework assignments posted in each weekly module are due by the Sunday night of that week.
  • However, some weeks have exams, and some weeks cover three sections.
    • Around exams or weeks with 3 topics in one week,  due dates are extended by a few days. Please make note of the due dates for each assignment.
  • You will receive a 30% penalty for each problem completed after the due date.
    • You will still earn full points for any problem completed before the due date. The penalty only applies to problems done after the assignment's due date.
  • You have access to ALL assignments for the entire semester.
    • To access a past-due assignment, click the "Use Late Passes" button on the assignment. If you run out of Late Passes, just ask me to give you more.

Please make every effort to complete homework assignments by their due dates!

NOTE:

  • This course officially ends Sunday December 20th at 11:59pm! The Canvas site will close. You will not be able to submit anything after this date.
  • If you are two or more weeks behind on assignments:
    • please check in with me right away via email or office hours
    • please seek tutorial assistance, and
    • dedicate more time per week to studying and completing assignments.

Exams

There a total of 4 exams in the course -- one for each Part.

All exams will take place in class. Please see the Modules section for dates each exam will take place.

Exams are worth 50% of your overall grade (12.5% each).

  • Exam 1 covers Ch 7 Techniques of Integration.
  • Exam 2 covers Ch 6 & 8 Applications of Integration
  • Exam 3 covers Ch 11 Sequences and Series
  • Exam 4 covers Ch 9 & 10 Differential, Parametric, and Polar Equations

  • You must take each exam.
  • There is no comprehensive Final Exam. You will just take an exam for each Part.
  • I do not drop the lowest exam score. All exams will count.

Each Part's in-class exam will consist of problems taken directly from homework problems.

  • NOT Permitted: Internet, laptop, phone, or mobile device.
  • Permitted: Graphing/scientific calculators are permitted.
  • Permitted: Two extra pages of notes  (8.5x11inch double-sided).
    • I will provide printouts of each Part's summaries. You can find these summaries in the Resources area of the Canvas site.

Grading:

  • To earn full credit on each exam problem you need to provide comprehensive solutions.
    • Draw diagrams/graphs.
    • Show all steps.
    • Answer application questions in complete sentences.
    • Organize your work.
    • Circle/box your final answers so they are easy to find.
  • You will earn minimal credit if you just provide the answers.
  • Partial credit will be given for work shown even if the final answer is incorrect.

I DO NOT give Make-up exams.
If you have scheduling conflicts, you must make arrangements
IN ADVANCE of any exam date.

True/False/Multiple Choice Quizzes

For each of the 4 Parts, there is a True/False/Multiple Choice quiz that comes at the end of the Part. These four quizzes are worth a total of 5% of your course grade (1.25% each).

  • You may take each quiz up to two times. Your highest score will be your official score for a quiz.
  • Each attempt will be slightly different. Questions will not be in order. Some questions may change.
  • You have 60 minutes to complete each quiz attempt.
  • Quizzes completed after the due date will also receive a 30% penalty. Because it's a timed quiz, the penalty will apply to the entire assignment.

Discussion Assignments

There are six ChatGPT Discussion Assignments worth a combined 5% of your overall course grade (0.83% each).

The 6 ChatGPT Discussion assignments are each worth 12 points.

  • You will earn 10 points for completing the ChatGPT assignment and/or scanning and uploading the practice part that is part of the ChatGPT assignment.
  • You earn another 2 points for reviewing and commenting on two of your classmates' posts.

Grading:

  • In each assignment, you will be asked to "briefly summarize -- in your own words -- what you learned/found interesting." Be thorough, yet brief, in this response. It is not enough to simply say, "I learned a lot," or "I think it was accurate." Specify what you learned from the experience.
  • Please take the time to review other students' ChatGPT shared links so you get an idea of the types of examples ChatGPT can give you.
  • Please respond positively and thoroughly to other students' posts. It is not enough to simply respond with short responses like, "Nice job."
    • See the previous point about taking time to explore other students' ChatGPT shared links.
    • Consider what AI can do for you and what it cannot.

Time Commitment

Remember, this is a rather intense 5-unit course.

You should dedicate approximately 15 hours per week to read, study, watch lectures, attend class, and to complete assignments.

If you are serious about pursuing a career in mathematics, science, technology, or business, please fully commit to this course. Doing so will help you beyond measure.

Please see the Modules section of the Canvas Class site for a list of topics to study and work on each week.

The best way to learn the material is to

  • Regularly attend class
  • Study and complete homework assignments on time.
  • Try not to work alone! Make friends with people in the class.
  • Attend Office Hours.
  • Ask questions as soon as you need help.

Attendance Policy

  • To earn an A or B in the course, you may only have two unexcused absences in the semester.
  • To earn a C, you may only have three unexcused absences.
  • Missing two weeks of classes without prior notice may result in being dropped from the course.
  • Excused absences require a doctor's note and/or prior consultation with me regarding the reason for your upcoming absence.

Cheating Policy

Cheating is a very serious offense that I will not tolerate.

If you are caught cheating on any assignment or exam in the course,

  • You will automatically be given a 0% grade for that assignment or exam.
  • Your overall course grade will be lowered by one grade level (From A to B, B to C, C to D, or D to F). It will be impossible to earn an A in the class.
  • All parties involved in the incident will be charged.

Important Dates

  • The last day to add and/or drop a class without a W this term is Tuesday, September 15, 2026.
    • It is very important you log onto the Canvas site and begin work on the first assignment. That way I will know you have intentions of taking the course. If I do not see you in class or any Canvas activity from you by September 15, 2026, I will drop you from the course!
  • The last day to drop this course with a W grade is Friday, November 20, 2026.
    • It is your responsibility to drop a class if you feel you cannot complete it with the grade you wish to earn.
    • I will not drop students from the course in November because I've had too many requests from students to be reinstated after I've done so.
      • Please understand, you need to make this decision for yourself. If you remain in the class after November 20th, you will receive a letter grade of A, B, C, D, or F.
    • I do not consider requests for an Incomplete Grade.

Grading Policy

  • 90 - 100% = A (Exceeds Standards)
  • 80 - 89% = B (Above Average)
  • 70 - 79% = C (Meets Standards)
  • 60 - 69% = D (Below Standards)

  • Homework Assignments: 40% (of course grade)
  • Exams: 50%
  • Discussions: 5%
  • T/F/Multiple Choice Quizzes: 5%

  • Homework problems completed after their assignment's due date will incur a 30% penalty. Problems done before the due still get full credit.
  • Quizzes completed after their due date will incur a 30% penalty for the entire quiz.
  • ChatGPT Discussions submitted after their due dates will incur a 10% penalty per day with a maximum penalty of 30%.
  • Any missing assignment, quiz, exam, or discussion will be assigned a grade of 0%.

Note:

  • I do not drop lowest scores for any assignment area. All assignments are included in the course grade.
  • I do not offer any Extra Credit assignments. Please do all of the work assigned to you. Please show up for every exam.
  • As mentioned above, I do not offer or accept requests for an Incomplete grade.

The Course and the Canvas Site will officially end on Sunday, December 20, 2025 at 11:59pm (close to midnight).

No one will be given time extensions beyond the end of the course to complete assignments.

Learning Resources

Please come to online and/or in-person Office Hours to ask questions and to request additional examples.

BCC Online Tutoring is available from our Canvas site. From there, please click on the Learning Resources Center link for more information. Otherwise, please visit: https://www.berkeleycitycollege.edu/lrc/.

Online Tutoring is available to you via your Canvas site's navigation as well.

Student Accessibility Services (SAS)

Berkeley City College is committed to providing reasonable accommodations for all individuals. This syllabus and the course materials are available in alternate formats upon request. If you have a disability that may have some impact on your work in this class and for which you may need accommodations, please contact a staff member in Student Accessibility Services (SAS) to request accommodations. 

For more information, please visit Student Accessibility Services at https://www.berkeleycitycollege.edu/sas or by phone at (510) 981-2812 or (510) 981- 2813.

NOTE:

  • I need to receive a Letter of Accommodations in order to provide them.
  • Accommodations only apply on and after the date I receive the Letter of Accommodations.
  • For students who have accommodations that provide extensions on homework assignments, I recommend a maximum of a 3-day extension because this is a rather intense math course with a lot of topics that need to be mastered. It is in the best of interest for any student to not extend study on any topic beyond this time frame. I truly want all students to succeed in the class while also learning the material in manageable "chunks," and not feeling pressured by falling too far behind.
    • I need to receive requests for these 3-day extensions in advance of homework due dates.
    • I am open to hearing/considering a longer extension.
      • However, though open, I do not recommend that anyone become two or more weeks behind on the course material. Therefore, I may not honor a specific request.

Student Learning Outcomes

Representation: Represent relevant information in various mathematical or algorithmic forms.

Calculation: Calculate accurately and comprehensively.

Interpretation: Interpret information presented in mathematical or algorithmic forms.

Application/Analysis: Draw appropriate conclusions based on the quantitative analysis of data, while recognizing the limits of this analysis.

Communication: Explain quantitative evidence and analysis.

Justification for the Course

Satisfies the General Education and Analytical Thinking requirement for Associate Degrees. Provides foundation for more advanced study in mathematics and related fields, such as physics, engineering, and computer science. Satisfies the Quantitative Reasoning component required for transfer to UC, CSUC, and some independent four-year institutions. Acceptable for credit: CSU, UC.