Math 116 - Calculus II - Fall 2017


Instructor: Michael Zieve    email: zieve@umich.edu
Office: 3835 East Hall Office Hours: 2-4pm (M)  or by appointment [Also I am in the Mathlab 1-2pm M]
Office Phone: 615-3650

Syllabus: Section 10: 8:30am-10am    Section 20: 10am-11:30am    Section 30: 11:30am-1pm
Need Help? The Math Lab in B860 East Hall has Math 116 instructors happy to help you Thursday 7pm-10pm, Friday 11am-4pm, Sunday 7pm-10pm, and Monday 11am-4pm. I am there Mondays 1pm-2pm, and I have office hours Mondays 2pm-4pm; in addition I can arrange to meet you at other times if needed.
Topics for First Midterm:
Sections 5.1-5.4, 6.1, 6.2, 6.4, 7.1,
7.2 [but only for functions of the shape (2x+3)/((x-1)(x-2)), maybe with different numbers involved],
7.5 [but NOT Simpson's rule, and NOT error bounds for midpoint or trapezoid rule],
8.1,
8.2 [and in addition, the method of cylindrical shells],
8.4 [but NOT center of mass],
8.5 [but NOT water pressure],
4.8.
Also it is assumed that you can take derivatives of x^n, log x, a^x, sin x, cos x, tan^{-1} x, and that you can use the product rule, quotient rule, and chain rule.
Practice Problems from Class for First Midterm:
Integration, 1: Problems and solutions
Integration, 2: Problems and solutions
Volume: Problems and solutions
Work: Problems and solutions
Parametric equations: Problems and solutions

Topics for Second Midterm:
Section 8.3 (polar coordinates, including the alternate formula for arclength from problem 45),
7.6 and 7.7 (improper integrals, including Limit Comparison Test for improper integrals),
9.1–9.5 (sequences, series, and power series).
Also it is assumed that you still remember basic formulas and techniques for integration and differentiation.

Practice Problems from Class for Second Midterm:
Polar coordinates: Problems and solutions
Improper integrals, 1: Problems and solutions
Improper integrals, 2: Problems and solutions
Sequences: Problems and solutions
Geometric series: Problems and solutions
Series, 1: Problems and solutions
Series, 2: Problems and solutions
Series quiz: Problems and solutions
Problems with partial information: Problems and solutions
Series worksheet: Problems and solutions and corrected solutions

Solutions to Midterm 2

Topics for Final Exam:
Sections 10.1–10.3 (Taylor polynomials and Taylor series),
Sections 8.7–8.8 (probability),
Sections 11.1–11.2 and 11.4–11.6 (differential equations),
in addition to all topics from both midterms.
Practice Problems from Class for Final Exam:
Taylor series: Problems and solutions
Probability: Problems and solutions
Slope fields: Problems and solutions
Differential equations, 1: Problems and solutions
Differential equations, 2: Problems and solutions
Differential equations, 3: Problems and solutions
Review of this material: Problems and solutions

Past Exams (and Solutions):
Complete exams
Exam problems for past midterm 1's, sorted by topic
Exam problems for past midterm 2's, sorted by topic
Exam problems for past final exams, sorted by topic

Warning: in different years there are slightly different topics covered on each midterm, so for instance you'll find parametric curves on past midterm 2's even though this year they're on midterm 1, and you'll find sequences and series on past final exams even though this year they're on midterm 2.