Math 20A, Winter 2021

Math 20A - Calculus for Science and Engineering (4 units), Lecture A, Winter 2021

Lecture: Videos will be available through Canvas on MWF by 9am PT. The lecture notes will be posted in Canvas under Files.
Discussion:
- (A01) Tu 8am-8:50am PT RCLAS R105
- (A02) Tu 9am-9:50am PT RCLAS R203
- (A03) Tu 10am-10:50am PT RCLAS R202
- (A04) Tu 11am-11:50am PT RCLAS R195
Course Description: Foundations of differential and integral calculus of one variable. Functions, graphs, continuity, limits, derivative, tangent line. Applications with algebraic, exponential, logarithmic, and trigonometric functions. Introduction to the integral. (Two credits given if taken after Math 1A/10A and no credit given if taken after Math 1B/10B or Math 1C/10C. Formerly numbered Math 2A.)
Prerequisites: Math Placement Exam qualifying score, or AP Calculus AB score of 3 (or equivalent AB subscore on BC exam), or SAT II Math 2C score of 650 or higher, or Math 4C or Math 10A.
Textbooks: Calculus: Early Transcendentals by Jon Rogawski and Colin Adams, fourth edition. You must purchase an access code for WebAssign, by either purchasing a new textbook through the UCSD Bookstore (which should come with a WebAssign access code), or buying only electronic access from the WebAssign website. Please contact WebAssign Student Support if you are experiencing any issues with WebAssign.
Homework: Online homework will be due every Friday at 11:59pm PT. The homework is given through WebAssign, which you must access through Canvas (so you do not need a Class Key). When you access WebAssign for the first time, you'll need to create a Cengage account or log in to an existing account. You have a grace period of 14 days before you need to enter a WebAssign access code.
See the table below for the homework due dates. You are allowed 100 attempts to correctly answer problems. If you need a homework extension, you can request an automatic extension of 3 days within 3 days of the deadline through WebAssign, but any problems completed after the original deadline will earn a maximum of 50% of the total score for those problems. The number of points in each homework assignment varies, so instead of dropping a homework assignment, the maximum total homework score will be 22 points less than the actual possible total. (However, the maximum homework grade will still be 100%.) There are also textbook homework problems that we expect you to complete, but these will not be collected or graded. See the table below for the textbook problems.
Quizzes and Final Exam:
- Quiz 1: Sections 2.1, 2.2. Monday, January 11, 9am-10am PT
- Quiz 2: Sections 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.1. Monday, January 25, 9am-10am PT
- Quiz 3: Sections 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8. Monday, February 8, 9am-10am PT
- Quiz 4: Sections 3.9, 3.10, 4.1, 4.2, 4.3, 4.4. Monday, February 22, 9am-10am PT
- Quiz 5: Sections 4.5, 4.6, 4.7, 5.1, 5.2. Monday, March 8, 9am-10am PT
- Final Exam: Cumulative. Wednesday, March 17, 8am-11am PT
Quiz and Final Exam Policies: All quizzes and the final exam will be submitted through Gradescope. Here is a video showing how to submit your work, and you can read detailed instructions here. The quiz/exam periods were scheduled to be slightly longer than the actual time necessary to complete the work. The extended time is meant to act as a buffer in case you have any technical issues uploading your work. Work will be graded for both clarity and correctness. You may use your notes and the textbook. No other form of assistance is allowed (e.g. calculators, internet resources, software, other people, etc.) Any proof of academic dishonesty will be reported. No make-up quizzes/exams will be given. However, the lowest quiz score will be dropped. If you cannot take the quizzes or final exam at the scheduled time because of a difference in time zone, fill out the form here by Sunday, January 10th. Requests made after this date will be denied.

Grading: Final grades will be calculated using the following grading scheme and grade cutoffs:

20% Homework, 60% Quizzes (the best 4 quiz scores will each count towards 15% of the final grade), 20% Final Exam

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

Instructor Information:
- Leesa B. Anzaldo
  - lbanzaldo@ucsd.edu
  - Office Hours: Tuesdays and Thursdays 9:30am-10:30am PT, and Thursdays 1:30pm-2:30pm PT. See Zoom link on Canvas.
TA Information:
- (A01, A02) Anjali Narayanan
  - anarayan@ucsd.edu
  - Office Hours: Tuesdays 2pm-3pm PT and Fridays 1pm-2pm PT. See Zoom link on Canvas.
- (A03, A04) Wilson Do
  - wdo@ucsd.edu
  - Office Hours: Mondays and Wednesdays 1:30pm-2:30pm PT. See Zoom link on Canvas.
Academic Accommodations: Students requiring accommodations should provide an OSD letter of certification and OSD accommodation recommendation to the instructor as soon as possible.
Classroom Behavior and Academic Integrity: All members of class should be respectful of one another at all times. Academic dishonesty will not be tolerated. Click here for information on how to promote academic integrity and the consequences of cheating.

Tentative Schedule


Jan 4	Section 2.1 - The Limit Idea: Instantaneous Velocity and Tangent Lines
Jan 6	Section 2.2 - Investigating Limits
Jan 8	Section 2.3 - Basic Limit Laws Section 2.4 - Limits and Continuity
Jan 11	Section 2.5 - Indeterminate Forms Quiz 1
Jan 13	Section 2.6 - The Squeeze Theorem and Trigonemtric Limits
Jan 15	Section 2.7 - Limits at Infinity Section 2.8 - The Intermediate Value Theorem WebAssign HW 1 due WebAssign HW 2 due

Jan 18	No class
Jan 20	Section 3.1 - Definition of the Derivative
Jan 22	Section 3.2 - The Derivative as a Function WebAssign HW 3 due

Jan 25	Section 3.3 - Product and Quotient Rules Section 3.4 - Rates of Change Quiz 2
Jan 27	Section 3.5 - Higher Derivatives Section 3.6 - Trigonometric Functions
Jan 29	Section 3.7 - The Chain Rule WebAssign HW 4 due

Feb 1	Section 3.8 - Implicit Differentiation
Feb 3	Section 3.9 - Derivatives of General Exponential and Logarithmic Functions
Feb 5	Section 3.10 - Related Rates WebAssign HW 5 due

Feb 8	Section 4.1 - Linear Approximation Quiz 3
Feb 10	Section 4.2 - Extreme Values
Feb 12	Section 4.3 - The Mean Value Theorem WebAssign HW 6 due

Feb 15	No class
Feb 17	Section 4.4 - The Second Derivative and Concavity
Feb 19	Section 4.5 - L'Hôpital's Rule WebAssign HW 7 due

Feb 22	Section 4.6 - Analyzing and Sketching Graphs of Functions Quiz 4
Feb 24	Section 4.7 - Applied Optimization
Feb 26	Section 5.1 - Approximating and Computing Area WebAssign HW 8 due

Mar 1	Section 5.2 - The Definite Integral
Mar 3	Section 5.3 - The Indefinite Integral
Mar 5	Section 5.4 - The Fundamental Theorem of Calculus, Part I WebAssign HW 9 due

Mar 8	Quiz 5
Mar 10	Section 5.5 - The Fundamental Theorem of Calculus, Part II
Mar 12	Review WebAssign HW 10 due

Mar 17	Final Exam: 8am-11am PT

Textbook Problems (not graded)

2.1 (1, 11, 17) 2.2 (1, 3, 5, 21, 23, 45, 55)
2.3 (7, 9, 15, 17, 27, 29, 33, 35) 2.4 (3, 5, 23, 27, 57, 59, 61, 65) 2.5 (1, 7, 17, 21, 25, 49, 53) 2.6 (7, 17, 23, 25, 33, 43, 45)
2.7 (1, 11, 13, 15, 23, 27, 33, 41) 2.8 (3, 5, 13) 3.1 (11, 29, 39, 41, 47, 59, 61)
3.2 (17, 19, 27, 29, 39, 45, 47, 53) 3.3 (13, 15, 25, 33, 39, 41, 45, 49) 3.4 (5, 21)
3.5 (5, 9, 15, 25, 39) 3.6 (3, 15, 31, 39, 41, 43) 3.7 (11, 17, 33, 39, 41, 51, 67, 69, 87, 89) 3.8 (9, 13, 19, 23, 31, 33, 39, 53, 59, 61)
3.9 (3, 5, 13, 19, 23, 35, 45, 51, 55) 3.10 (3, 5, 7, 33) 4.1 (1, 7, 29, 35, 53, 55, 57)
4.2 (1, 9, 17, 21, 23, 41, 51, 57) 4.3 (5, 17, 35, 39, 55, 67) 4.4 (1, 15, 23, 29, 37)
4.5 (7, 25, 43, 47) 4.6 (7, 11, 25, 31, 33, 37, 53) 4.7 (5, 7, 15, 29, 35)
5.1 (5, 7, 9, 11, 19, 29, 59) 5.2 (9, 11, 13, 15, 43, 45, 47, 57, 59, 71) 5.3 (9, 23, 25, 27, 37, 45, 49, 55, 69, 71)
5.4 (23, 29, 33, 45, 55, 59) 5.5 (11, 17, 23, 29, 35, 39)