Calculus II: Mathematics UN1102

Fall 2018


Tuesday and Thursday 10:10pm - 11:25pm
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 twelve 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