# Math 222 - Calculus II (Fall 2016)

• Lecture times and location: TR 9:30 - 10:45 AM, B102 Van Vleck
• Textbook: UW Calculus notes
• Course website: http://math.wisc.edu/~svs/222/
• Instructor: Steven Sam email, office: 321 Van Vleck
• Questions about course content or logistics should be posted on Piazza where I, the TA's, and other students can answer. Don't worry, you can post questions anonymously. Please only email me for questions that cannot be posted on Piazza.
I will ignore any emails whose content belongs on Piazza.
Final exam location:
CHAMBERLIN 2241 (northeast corner of Charter and University)
• If your TA is: Jacob, Eva, Yun, or Yuhua, go to
PSYCHOLOGY 105 (northwest corner of Charter and Johnson)

## Homework

The problems refer to the exercises in the class textbook.
Submit homework to your TA in discussion.
Only the starred problems need to be submitted.
• HW1 (due Sep. 14)
• Chapter 1.4: 1*, 3, 4*, 6, 7*, 10, 12
• Chapter 1.7: 1, 2, 4*, 8, 9*, 11, 12*, 15, 16, 21*
• HW2 (due Sep. 21): pdf file
• HW3 (due Sep. 28): pdf file
• HW4 (due Oct. 5): pdf file
• HW5 (due Oct. 19)
• Chapter 3.4 (pages 60-61) from book: 1, 2*, 4*, 5*, 6, 7
• Chapter 3.6 (page 63) from book (ignore the instruction "specify the differential equation that the integrating factor satisfies"): 3, 4*, 6, 7, 11*, 13*, 15
• HW6 (due Oct. 26)
• Chapter 3.9 (page 67) from book: 1, 2*
• Chapter 3.11 (pages 71-72) from book: 1, 2*, 3*, 6*, 7, 8
• Chapter 4.4 (page 79) from book: 1, 4, 11, 13, 14*, 15, 18*, 19*
• HW7 (due Nov. 2): pdf file
• HW8 (due Nov. 9): pdf file
• HW9 (due Nov. 23): pdf file, solutions
• HW10 (due Dec. 7): pdf file, solutions (some corrections made 12/14/16)
• HW11 (due Dec. 14):
• Chapter 6.11 (pp.138-139): 1*
• Chapter 6.12 (p.139): 1*, 3, 5*, 6, 7*, 8
• Chapter 6.13 (p.140): 1, 3, 4*, 6*, 7*

## Resources for extra help

Don't stay confused. There are several resources available when you want some help outside of lecture and discussion:
• Review Workshops: The math tutorial program offers workshops at the beginning of each semester to review the material that you are expected to know. The link provides the schedule, and they all happen from Tuesday, Sep. 6 - Thursday, Sep. 8.
• Mathematics Tutorial Program: Free small group tutoring is offered to students who are in danger of getting a D or F, for students who have not had a math course in several years, or for students who are retaking the course. A significant time commitment is required. Any student can apply to the program, but after the first two weeks of the semester, a referral from an instructor is required. Students may apply in room 320 Van Vleck.
• Math Lab: a free, drop-in tutorial program (starting Sep. 14) in B227 Van Vleck. Tutoring is available Monday through Thursday from 3:30-8:30PM and Sunday 3:30-6:50PM.
• Tutoring in University Residence Halls: free, drop-in math tutoring is available every evening Sunday-Thursday at various residence halls.
• GUTS: Greater University Tutoring Service offers free small group, individual, and drop-in tutoring at various locations around campus. It is staffed mostly by student volunteers. Stop by their office (333 East Campus Mall, Rm. 4413) to sign up for a tutor or try drop-in tutoring.
• Private Tutors: A list of tutors is available at the link or from the receptionist on the second floor of Van Vleck.
Most of this information was taken from the Getting help in your math class page.

## Schedule

Please review 1.1 (definite and indefinite integrals) before the class starts.

What follows is my guess of the pacing of the course. As the semester progresses, this will be updated in case some topics take longer or not as long as I initially thought they would.
 Sep 6 1.3: Double angle formulas 1.5: Integration by parts Sep 8 finish 1.5 1.6: Reduction formulas Sep 13 1.8: Partial fractions Sep 15 finish 1.8 1.10: Trigonometric substitutions Sep 20 1.11: Rational substitutions 1.12: Completing the square Chapter 1 summary Sep 22 2.1-2.2: Improper integrals Sep 27 2.3: More examples of improper integrals Sep 29 2.5: Estimating improper integrals Oct 4 Chapter 2 summary 3.1-2: Differential equation basics 3.3: First order separable equations Oct 6 3.5: First order linear equations 3.7: Direction fields Oct 11 Midterm 1 review (Chapters 1, 2) Oct 13 Midterm 1 (in class) Oct 18 3.8: Euler's method 3.10: Applications of differential equations Oct 20 Finish 3.10 4.1-2: Taylor polynomials Oct 25 4.3: Some special Taylor polynomials 4.5: Remainder term Oct 27 4.6: Lagrange's formula Nov 1 4.8: Convergence of Taylor polynomials ("little-o notation") Nov 3 4.10: Differentiating and integrating Taylor polynomials Nov 8 5.2: Sequences Nov 10 5.4: Series Convergence tests for series Nov 15 Midterm 2 review (Chapters 3, 4) Nov 17 Midterm 2 (in class) Nov 22 Finish convergence tests for series 5.5: Convergence of Taylor series Nov 24 No class (Thanksgiving) Nov 29 Finish 5.5 5.7: Examples Dec 1 6.1-2: Vector basics 6.3: Parametric equations for lines and planes Dec 6 6.5: Dot product Dec 8 6.6: Cross product 6.7: Applications of cross products Dec 13 Review of course I Dec 15 Review of course II Dec 21 Final exam 10:05AM - 12:05PM