Math 1B - Section 2 - Summer 2016

Preliminaries

Instructor: Kevin Wray
Lecture: MTWTF 2-3pm, Room: 107 GPB
Discussion: MTWTF 3-4pm, Room: 107 GPB
Office Hours: MTh 1:10 - 2, Evans 1043. Except during week 4, when office hours are on Monday and Friday!
Email: kwray[at symbol]math[dot]berkeley[dot]edu

Course Description

Continuation of Math 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order linear ordinary differential equations.

Textbook

The textbook for this course is: Stewart, Calculus - Early Transcendentals, 8th Edition.

Grading and Course Policy (TENTATIVE)

There will be (approximately) 12 HW assignments, of which 11 will count for 10% of your final grade.
There will be 5 quizzes, the four highest scores will count for 15% of your final grade. There will be no make-up quizzes.

There will be 2 midterms and a final, no make-ups. Your final grade will be computed as follows:
10% take-home sheets + 15% quizzes + 25% midterm1 + 25% midterm2 + 25% final

Schedule

This is tentative!

Week 1

6/20 7.1: Integration by parts.
6/21 7.2: Trig integrals.
6/22 7.3: Trig substitution.
6/23 7.4: Partial fractions (part 1). HW 1 due.
6/24 7.4: Partial fractions (part 2). Quiz 1.

Week 2

6/27 7.8: Improper integrals (part 1).
6/28 7.8: Improper integrals (part 2). HW 2 due.
6/29 Examples.
6/30 Review for midterm 1. HW 3 due.
7/01 MIDTERM 1. (You can also turn in HW 3 before midterm)

Week 3

7/04 No class.
7/05 11.1: Sequences (part 1).
7/06 11.1: Sequences (part 2).
7/07 11.2: Series. HW 4 due.
7/08 11.3: Integral test. Quiz 2.

Week 4

Office hours for this week are on Monday and Friday!

7/11 11.4: Comparison tests.
7/12 11.5: Alternating series. HW 5 due.
7/13 11.6: Absolute convergence and ratio test.
7/14 11.7: Strategies for testing series/examples. HW 6 due.
7/15 11.8: Power series. Quiz 3.

Week 5

7/18 11.9: Series representations of functions.
7/19 11.10: Taylor/Maclaurin series (part 1). HW 7 due.
7/20 11.10: Taylor/Maclaurin series (part 2).
7/21 Review for midterm 2. HW 8 due.
7/22 MIDTERM 2.

Week 6

7/25 9.1-9.2: Intro to differential equations.
7/26 9.3-9.4: Separable equations.
7/27 9.5: Linear equations.
7/28 9.5: Bernoulli's method. HW 9 due.
7/29 TBD. Quiz 4.

Week 7

8/01 17.1: 2nd-order linear equations (part 1).
8/02 17.1: 2nd-order linear equations (part 1). HW 10 due.
8/03 17.2: Nonhomogeneous equations (part 1).
8/04 17.2-17.3: Nonhomogeneous equations (part 2). HW 11 due.
8/05 17.4: Series solutions (part 1). Quiz 5.

Week 8

8/08 17.4: Series solutions (part 2).
8/09 TBD. HW 12 due.
8/10 Review for final
8/11 Review for final
8/12 Final