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
 Course info: link
 Piazza page: link
 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.
 For questions about enrollment, please contact Diane Rivard: email
Final exam location:
 If your TA is: David, Vladimir, or Ahmet, go to
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)
Calendar with office hours and locations
Handouts
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 6061) 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 7172) 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.138139): 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, dropin tutorial program (starting Sep. 14) in B227 Van Vleck. Tutoring is available Monday through Thursday from 3:308:30PM and Sunday 3:306:50PM.
 Tutoring in University Residence Halls: free, dropin math tutoring is available every evening SundayThursday at various residence halls.
 GUTS: Greater University Tutoring Service offers free small group, individual, and dropin 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 dropin 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  2.12.2: Improper integrals 

Sep 27 
2.3: More examples of improper integrals 
Sep 29 
2.5: Estimating improper integrals 

Oct 4 
Chapter 2 summary
3.12: 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
4.12: 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 ("littleo 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 
6.12: 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 
