Math 20B, Spring 2023

Math 20B - Calculus (4 units), Lectures A and B, Spring 2023

Lecture: All lectures will be delivered in-person and podcasted. See our Canvas course for the recordings and lecture notes. Lecture attendance is not mandatory but highly encouraged.
- Lecture A00: MWF 9am-9:50am PT in WLH 2005
- Lecture B00: MWF 11am-11:50am PT in CTL 0125

Discussion: Discussion attendance is not mandatory but highly encouraged.
- (A01) M 4pm-4:50pm PT in APM B412
- (A02) M 5pm-5:50pm PT in APM B412
- (A03) M 6pm-6:50pm PT in APM B412
- (A04) M 7pm-7:50pm PT in APM B412
- (A05) M 6pm-6:50pm PT in APM 5402
- (A06) M 7pm-7:50pm PT in APM 5402
- (B01) M 5pm-5:50pm PT in APM 2301
- (B02) M 6pm-6:50pm PT in APM 2301
- (B03) M 5pm-5:50pm PT in APM 2402
- (B04) M 6pm-6:50pm PT in APM 2402
- (B05) M 7pm-7:50pm PT in APM 2402
- (B06) M 8pm-8:50pm PT in APM 2402
- (B07) M 5pm-5:50pm PT in WLH 2209
- (B08) M 6pm-6:50pm PT in WLH 2209

Course Description: Integral calculus of one variable and its applications, with exponential, logarithmic, hyperbolic, and trigonometric functions. Methods of integration. Infinite series. Polar coordinates in the plane and complex exponentials. (Two units of credits given if taken after Math 1B/10B or Math 1C/10C.).

Prerequisites: AP Calculus AB score of 4 or 5, or AP Calculus BC score of 3, or Math 20A with a grade of C- or better, or Math 10B with a grade of C- or better, or Math 10C with a grade of C- or better.

Textbook: Calculus: Early Transcendentals, fourth edition, by Jon Rogawski, Colin Adams, and Robert Franzosa. You must purchase access to Macmillan's Achieve, which includes access to the E-book. We will also refer to the Math 20B Course Supplement.

Homework: Homework will be due roughly every Tuesday at 11:59pm PT through Canvas. The homework is given through Achieve, which you must access through Canvas. You can find registration instructions on our Canvas course. You have a grace period of two weeks before you need to purchase Achieve access.
See the table below for the homework due dates. Each homework is divided into several individual assignments (according to section), so make sure that you complete the entire homework each week. You have unlimited attempts to correctly answer the problems. No homework scores will be dropped, but homework may be submitted up to a week late with a 10% penalty. The number of points in each homework assignment varies, so the homework grade will be based on all the total possible homework points available.

Midterms and Final Exam: All exams will take place in-person at the times stated below. Your work will be graded for clarity, correctness, and the appropriate justification. You may use one 8.5 by 11 inch handwritten, double-sided sheet of notes during each exam. No other resources are allowed (e.g. calculators, phones, books, other people, etc.) Any proof of academic dishonesty will be reported.

Grading: Final grades will be calculated as the maximum of the following two grading schemes:

25% Online Homework
20% Midterm Exam 1
20% Midterm Exam 2
35% Final Exam

25% Online Homework
30% Best Midterm Exam
45% Final Exam

The following are the final grade cutoffs. For example, if you earn an overall percentage of 88%, you are guaranteed to receive at least a B+ in the class.

A+	A	A-	B+	B	B-	C+	C	C-
97	93	90	87	83	80	77	73	70

Contact Information and Office Hours: Office hours are set times when you can drop in and talk with your instructor or TA. (No appointment is required!) Math-related questions or general questions about the course should be asked during office hours, in lecture and/or discussion, or on Piazza. More personal concerns should be sent to the instructor or TA via email. Some office hours will take place in-person and some will be held remotely. See Canvas for the office hour times and Zoom links.
- Instructor: Leesa B. Anzaldo
  - Email: lbanzaldo@ucsd.edu
- TA: Maxwell Johnson
  - Sections: A01, A02, A03, A04
  - Email: mmj002@ucsd.edu
- TA: Sharv Laad
  - Sections: A05, A06
  - Email: slaad@ucsd.edu
- TA: Thomas Lamkin
  - Sections: B01, B02
  - Email: tlamkin@ucsd.edu
- TA: Jordan Benson
  - Sections: B03, B04, B05, B06
  - Email: jobenson@ucsd.edu
- TA: Ramanujan Srihari
  - Sections: B07, B08
  - Email: rsrihari@ucsd.edu

Piazza: In addition to going to office hours and forming study groups, students can get help by posting questions/answers on Piazza, which can be accessed through Canvas.

Academic Accommodations: Students requesting accommodations for this course due to a disability must provide a current Authorization for Accommodation (AFA) letter (paper or electronic) issued by the Office for Students with Disabilities. Students are required to discuss accommodation arrangements with instructors and OSD liaisons in the department in advance of any exams or assignments.

Classroom Values: Each of us is a member of a diverse learning community. We must show respect for each other at all times, especially when ideas are shared in lecture or during smaller group discussions. I hope to provide a safe and inclusive learning environment for all students.

Academic Integrity: Academic dishonesty will not be tolerated. Click here for information on how to promote academic integrity and the consequences of cheating.

Tentative Schedule


Apr 3	Sections 5.2-5.5 - Review, Discussion
Apr 5	Section 5.6 - Net Change
Apr 7	Section 5.7 - Substitution
Apr 10	Section 6.1 - Area, Section 6.2 - Volume, Discussion
Apr 12	Section 6.3 - Volumes of Revolution
Apr 14	Section 7.1 - Integration by Parts, First Day Survey due at 5pm PT

Apr 17	Section 7.1 - Integration by Parts, Discussion
Apr 18	HW 1 due, HW 2 due
Apr 19	Section 11.3 - Polar Coordinates
Apr 21	Section 11.3 - Polar Coordinates

Apr 24	Section 11.4 - Area in Polar Coordinates, Discussion
Apr 25	HW 3 due
Apr 26	Catch-up, review, Midterm Exam 1: 7pm-8:50pm PT
Apr 28	Supplement 1 - Complex Numbers, Supplement 2 - Complex Exponentials

May 1	Section 7.2 - Trigonometric Integrals, Discussion
May 2	HW 4 due
May 3	Section 7.4 - Hyperbolic Integrals, Supplement 3 - Integration of Functions which Take Complex Values
May 5	Section 7.5 - Partial Fractions, Supplement 4 - The Fundamental Theorem of Algebra, Supplement 5 - Partial Fraction Expansions

May 8	Section 7.7 - Improper Integrals, Discussion
May 9	HW 5 due
May 10	Section 7.7 - Improper Integrals (continued)
May 12	Section 10.1 - Sequences

May 15	Section 10.2 - Infinite Series, Discussion
May 16	HW 6 due
May 17	Catch-up, review, Midterm Exam 2: 7pm-8:50pm PT
May 19	Section 10.3 - Convergence of Series

May 22	Section 10.4 - Absolute/Conditional Convergence, Discussion
May 23	HW 7 due
May 24	Section 10.5 - Ratio and Root Tests
May 26	Section 10.6 - Power Series

May 29	No class
May 30	HW 8 due
May 31	Section 10.6 - Power Series (continued)
Jun 2	Section 10.8 - Taylor Series

Jun 5	Section 10.8 - Taylor Series (continued), Discussion
Jun 6	HW 9 due
Jun 7	Catch-up, review
Jun 9	Review
Jun 10	Final Exam: 3pm-6pm PT