Math 20A: Calculus for Science & Engineering I
Spring 2016

Instructor: Brendon Rhoades
Instructor's Email: bprhoades (at) math.ucsd.edu
Instructor's Office: 7250 APM
Instructor's Office Hours: 11:00am-12:00pm MWF

Lecture Time: MWF 1:00-1:50 pm
Lecture Room: 216 CENTR

Textbook: Calculus: Single Variable, Third Edition by Jon Rogawski and Colin Adams

TAs: Eric Lybrand and Steven Nguyen
TAs' Emails: elybrand (at) ucsd.edu and srnguyen (at) ucsd.edu
TAs' Office Hours:
Eric Lybrand: M 12:00-1:00 pm (Calc lab, APM), Th 5:00-6:00 pm (5412 APM)
Steven Nguyen: Th 3:00-5:00 pm (6132 APM)
Discussion Times/Rooms:
Section A01 - Th 6:00-6:50 pm - 2321 HSS
Section A03 - Th 5:00-5:50 pm - 1315 HSS
Section A04 - Th 6:00-6:50 pm - 1315 HSS
Section A05 - Th 7:00-7:50 pm - 1315 HSS

Final Exam Time: 11:30am-2:29pm, 6/9/2016
Final Exam Room: TBA

Syllabus: Please read carefully. REMARK: You will be allowed one page of notes (front and back is OK) on each exam.

Lectures:

3/28: Sections 1.4, 1.5. Trig functions, inverse functions.
3/30: Section 1.6. Exponential and log functions.
4/1: Sections 2.1, 2.2. Limits.
4/4: Sections 2.3, 2.4. Limit laws, continuity.
4/6: Sections 2.5, 2.7. Evaluating limits, limits at infinity.
4/8: Sections 2.6, 2.8. Trig limits, Intermediate Value Theorem.
4/11: Section 3.1. Definition of the derivative.
4/13: Section 3.2. The derivative as a function.
4/15: Section 3.3. The product and quotient rules.
4/18: Section 3.4. Rates of change, higher derivatives.
4/20: Exam 1. (In class, covers Sections 1.4-1.6, 2.1-2.8, 3.1-3.3.)
4/22: Section 3.6. Trig functions.
4/25: Section 3.7. The chain rule.
4/27: Section 3.8. Implicit differentiation.
4/29: Section 3.9. Exp and log.
5/2: Section 4.1. Linear approximation.
5/4: Section 4.2. Extreme values.
5/6: Section 4.3. Mean Value Theorem.
5/9: Section 4.4. Shape of a graph.
5/11: Section 4.5. l'Hospital's Rule.
5/13: Section 4.6. Graph sketching.
5/16: Exam 2. (In class, covers Sections 3.3-3.9, 4.1-4.4.)
5/18: Section 4.7. Applied optimization.
5/20: Section 5.1. Computing area.
5/23: Section 5.2. Definite integrals.
5/25: Section 5.3. Indefinite integrals.
5/27: Section 5.4. The Fundamental Theorem of Calculus I.
6/1: Section 5.5. The Fundamental Theorem of Calculus II.
6/3: Review.

Homework: (all problems are Exercises in Rogawski-Adams)

Homework 1, due at 5:00pm on 4/4/2016: 1.4.22, 1.4.28, 1.5.22, 1.6.30, 1.6.34, 1.6.38, 2.1.8, 2.2.20, 2.2.28, 2.2.52.

Homework 2, due at 5:00pm on 4/11/2016: 2.3.22, 2.3.30, 2.4.54, 2.4.58, 2.5.8, 2.5.24, 2.5.32, 2.5.48, 2.5.54, 2.6.22, 2.6.34, 2.7.14, 2.7.20, 2.7.30, 2.8.18, 2.8.20.

Homework 3, due at 5:00pm on 4/18/2016: 3.1.4, 3.1.6, 3.1.38, 3.1.40, 3.2.18, 3.2.20, 3.2.36, 3.2.50, 3.3.4, 3.3.8, 3.3.12, 3.3.24, 3.3.26, 3.3.30, 3.3.38.

Homework 4, due at 5:00pm on 5/2/2016: 3.4.20, 3.5.12, 3.5.16, 3.5.26, 3.6.16, 3.6.20, 3.6.30, 3.6.32, 3.7.20, 3.7.34, 3.7.40, 3.7.62, 3.7.70, 3.8.22, 3.8.24, 3.8.58, 3.9.20, 3.9.24, 3.9.34, 3.9.46, 3.9.50, 3.9.60.

Homework 5, due at 5:00pm on 5/9/2016: 4.1.20, 4.1.24, 4.1.52, 4.1.54, 4.2.18, 4.2.38, 4.2.48, 4.2.54, 4.2.58, 4.3.12, 4.3.38, 4.3.50, 4.3.56.

Homework 6, due at 5:00pm on 5/23/2016: 4.4.6, 4.4.14, 4.4.16, 4.4.52, 4.4.56, 4.5.26, 4.5.32, 4.5.48, 4.5.54, 4.6.22, 4.6.32, 4.7.10, 4.7.14, 4.7.22, 4.7.44, 5.1.16, 5.1.18

Homework 7, due at 5:00 pm on 6/3/2016: 5.2.6, 5.2.8, 5.2.14, 5.2.44, 5.2.58, 5.2.74, 5.3.20, 5.3.24, 5.3.32, 5.3.38, 5.3.56, 5.3.62, 5.3.66, 5.4.24, 5.4.30, 5.4.34, 5.4.42, 5.4.48, 5.4.56, 5.5.12, 5.5.14, 5.5.16, 5.5.30, 5.5.32

Midterms:
Midterm 1 Version A and Version B.

Supplemental Challenge Problems, prepared by E. Lybrand.

Practice Midterm 2.

Midterm 2.

Practice Final.