Calculus II: Mathematics UN1102

Fall 2019


Tuesday and Thursday 10:10am - 11:25am
Mathematics 417

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.  The textbook site at the publisher is 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 8248 8876.  Please use your UNI as your user name.  A "Quick Start Guide" to help you get started with WebAssign is available here.

The textbook site at the publisher is here.  Your options for getting access to the textbook and the Webassign system include:

1. Loose-leaf textbook + online book/Webassign (6 months), for $171.95, ISBN 9781305710306
2. Online book/Webassign (5 months), for $100, ISBN 9781337771498
3. "Cengage Unlimited" (4 months), for $120.  This includes access to other textbooks from the same publisher and a textbook rental for $8.
4. Access to WebAssign and the eBook version of the textbook for one semester can be purchased directly from WebAssign after enrolling in the appropriate class there. The price is $100 for one semester, $125 for multiple terms (usable if you take more than one semester of Calculus).

Details of the syllabus and assignments are available through Courseworks.

There will be homework due most Tuesdays, for a total of ten 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 1 and October 31) and a final exam (December 19). 

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


Tentative Syllabus:

Tuesday, September 3: Review of methods of integration, preview of course
Thursday, September 5: Integration by parts. Section 7.1
Tuesday, September 10: Review of trigonometry, Euler's formula.  Notes available here.
Thursday, September 12:  Trigonometric integrals.  Section 7.2
Tuesday, September 17: Trigonometric substitutions.  Section 7.3
Thursday, September 19:  Method of partial fractions.  Section 7.4
Tuesday, September 24:  Improper integrals.  Section 7.8
Thursday, September 26: Review of integration methods.  Section 7.5
Tuesday, October 1:  First midterm exam
Thursday, October 3:  Volumes.  Sections 6.2 and 6.3
Tuesday, October 8: Lengths of curves, areas of solids of revolution.  Sections 8.1 and 8.2
Thursday, October 10:  Differential equations.  Section 9.1
Tuesday, October 15: Separable equations.  Sections 9.3 and 9.4
Thursday, October 17:  Linear equations. Section 9.5
Tuesday, October 22: Parametrized curves.  Sections 10.1 and 10.2
Thursday, October 24: Polar coordinates.  Sections 10.3 and 10.4.
Tuesday, October 28: Review
Thursday, October 31: Second midterm exam
Thursday, November 7: Sequences. Section 11.1
Tuesday, November 12: Series, integral test.  Sections 11.2 and 11.3
Thursday, November 14:  Comparison tests.  Section 11.4
Tuesday, November 19:  Alternating Series, absolute convergence, ratio test. Sections 11.5 and 11.6
Thursday, November 21: Strategy for testing series.  Section 11.7
Tuesday, November 26: Power series.  Sections 11.8 and 11.9
Tuesday, December 3:  Taylor series.  Section 11.10
Thursday, December 5: Applications of Taylor series.  Section 11.11

Tuesday, December 10:  Review session

Thursday, December 19:  Final exam 9am-noon