Math 116 - Calculus II - Winter 2023


Instructor: Michael Zieve    email: zieve@umich.edu
Need Help? The Math Lab in B860 East Hall has Math 116 instructors happy to help you Mondays–Thursdays 11am–4pm and 7pm–10pm, Fridays 11am–4pm, and Sundays 7pm–10pm. This is a fantastic resource, and I strongly encourage you to take advantage of it. I am there Mondays noon–1pm, and I have office hours Mondays 1pm–3pm in 3835 East Hall; in addition I can arrange to meet you at other times if needed. Also, most information about the course is not on this page -- which is the webpage of our section -- but instead is on the course webpage.
Coming Deadlines:
  1. Frequent web-HW and reading-HW on the webwork system.
  2. Last class is Monday April 17.
  3. Final exam is Monday April 24 at 8am.
Course calendar -- this shows what material is covered in each class, and also includes dates for exams and Gateways.
Additional course material:
The shell method for computing volumes
Solutions to Team HW 1
Solutions to Team HW 2
Solutions to Team HW 3
Solutions to Team HW 4
Review sheet for Midterm 1
Notes on writing inequalities
Limit comparison test for improper integrals (optional, but useful -- but note that you are not allowed to use this when the limit is 0 or infinity).
Practice Problems from Class for Midterm 1:
1/5: FTC/average values/integrals of odd and even functions problems and solutions [Only these parts: problem 5 (all), 2 (a,c), 5 (a,b), 6 (b)]
1/12: FTC2/u-substitution problems and solutions
1/18: parts problems and solutions
1/19: partial fractions problems and solutions
1/23: MID and TRAP problems and solutions
1/26: volume problems
2/1: density problems and solutions
Midterm 1 Exam Shop

Practice Problems from Class for Midterm 2:
2/8 and 2/9: force and work problems and solutions [But for the spring problem only do part (a).]
2/13: Evaluating improper integrals problems and solutions
2/15: Comparison test for improper integrals problems
2/16: Inequalities problems
2/22: Probability problems
2/23: More probability problems
3/6: Sequences problems
3/7: Geometric series problems and solutions
3/8: Series problems
3/16: Winter 2022 exam 2 and solutions.
Midterm 2 Exam Shop

Practice Problems from Class for Final Exam:
3/22: Power series problems
3/23: More power series problems and solutions
3/27: Taylor polynomials problems
3/28: Taylor series problems and solutions[I suggest ignoring the first problem]
4/3: Parametric equations problems
4/5: More parametric equations problems and solutions
4/6 and 4/10: Polar coordinates problems and solutions
4/12: Taylor series problems and solutions [I suggest ignoring the first problem]
4/13: Final exam review problems and solutions [but ignore the first problem for now]
Final Exam Exam Shop

Note: in different years there can be slight differences in which topics were covered in this course, or whether students can use calculators during exams. So be aware that, if a question from a past exam looks unusually difficult to you, then it's possible that the question isn't realistically do-able given what has been done in the course this year.