## Calculus II: Mathematics UN1102

### Fall 2018

Tuesday and Thursday 10:10am -
11:25am

Mathematics 203

**Instructor**: Peter Woit

**E-mail**: woit@math.columbia.edu

**Office**: Mathematics 421

**Phone**: 212-854-2642

**Office hours**: After class Tuesday and Thursday from
11:30-12:30. Students are encouraged to drop by Math 421 at
any time. I'm usually there and happy to provide help with the
course.

**Help room**: Milstein 502 on the Barnard campus is
staffed much of the day and evening by teaching assistants who can
help you with this course. The schedule for the help room is
available here.

The textbook for the course is *Calculus: Early Transcendentals,
8th Edition*, by J. Stewart. More information about the
textbook is available here.

The WebAssign
online system will be used to assign some of the homework, and will
contain a detailed schedule and syllabus. Students should enroll in
the WebAssign section for the class at webassign.net, using class key **columbia
5532 6796**. Please use your UNI as your user
name. A "Quick Start Guide" to help you get started with
WebAssign is available here.

Details of the syllabus and assignments are available through
Courseworks.

There will be homework due each Tuesday, for a total of eleven
assignments. These will include a component to be completed
online using WebAssign, as well as additional problems to be handed
in after class on Tuesday. The lowest homework score will be
dropped.

There will be two midterm exams (October 2 and November 1) and
a final exam (December 20).

Final grades will be assigned based on the homework (20%), midterms
(20% each) and final (40%).

**Tentative Syllabus:**

Tuesday, September 4: Review of methods of integration, preview of
course

Thursday, September 6: Integration by parts. Section 7.1

Tuesday, September 11: Review of trigonometry, Euler's
formula. Notes available here.

Thursday, September 13: Trigonometric integrals. Section
7.2

Tuesday, September 18: Trigonometric substitutions. Section
7.3

Thursday, September 20: Method of partial fractions.
Section 7.4

Tuesday, September 25: Improper integrals. Section 7.8

Thursday, September 27: Review of integration methods. Section
7.5

Tuesday, October 2: First midterm exam

Thursday, October 4: Volumes. Sections 6.2 and 6.3

Tuesday, October 9: Lengths of curves, areas of solids of
revolution. Sections 8.1 and 8.2

Thursday, October 11: Differential equations. Section
9.1

Tuesday, October 16: Separable equations. Sections 9.3 and 9.4

Thursday, October 18: Linear equations. Section 9.5

Tuesday, October 23: Parametrized curves. Sections 10.1 and
10.2

Thursday, October 25: Polar coordinates. Sections 10.3 and
10.4.

Tuesday, October 30: Review

Thursday, November 1: Second midterm exam

Thursday, November 8: Sequences. Section 11.1

Tuesday, November 13: Series, integral test. Sections 11.2 and
11.3

Thursday, November 15: Comparison tests. Section 11.4

Tuesday, November 20: Alternating Series, absolute
convergence, ratio test. Sections 11.5 and 11.6

Tuesday, November 27: Strategy for testing series. Section
11.7

Thursday, November 29: Power series. Sections 11.8 and 11.9

Tuesday, December 4: Taylor series. Section 11.10

Thursday, December 6: Applications of Taylor series. Section
11.11

Tuesday, December 11: Review session

Thursday, December 20: Final exam 9am-noon