**Instructor information:
**

- Matthew Durham
- Office: 3079 East Hall, Department of Mathematics at the University of Michigan.
- email: durhamma [at] umich [dot] edu
- Office hours: MW 1p-2p, F 10a-11a.

- Lectures: MWF: 9a - 10a ET.
- Location: 1372 East Hall

- First lecture: 1/4/2017
- Last lecture: 4/17/2017

- No lecture on Monday 01/16/2017 for observance of Martin Luther King, Jr. Day (posted 12/30/2016)
- Happy New Year! First lecture is on January 4, 2017 (posted 12/30/2016)

- Homework 1: Due 1/13/2017 (pdf, TeX) (solutions)

- Correction: In the hint for Problem 8, the function should be f:C--->reals not f:C--->reals^n.
- Homework 2: Due 1/23/2017 (pdf, TeX) (solutions)

- Homework 3: Due 1/30/2017 (pdf, TeX) (solutions)

- Homework 4: Due 2/6/2017 (pdf, TeX) (solutions)

- Homework 5: Due 2/13/2017 (pdf, TeX) (solutions)

- Homework 6: Due 2/20/2017 (pdf, TeX) (solutions)
- Homework 7: Due 3/15/2017 (pdf, TeX) (solutions)

- Homework 8: Due 3/20/2017 (pdf, TeX) (solutions)
- Homework 9: Due 4/5/2017 (pdf, TeX) (solutions)

- Differentiation
- Chain rule
- Manifolds and the Lagrange multiplier method
- Taylor's formula and characterizing critical points
- Contracting maps and the Implicit Mapping Theorem
- Riemann integration and step functions
- Iterated
integrals, change of variables, improper integrals

- Line
integrals and Green's theorem

The midterm will be held in class on Friday 2/24/2017 at 9:00 am ET.

The final exam is scheduled for Monday 4/24/2017 from 16:00-18:00 ET. It will be cumulative, though mostly focusing on the material covered after the midterm.

The textbook for this course is:

Advanced Calculus of Several Variables, Charles H. Edwards, Dover.

Other useful references:

- On differential/integral calculus:
**Introduction to Calculus and Analysis**, Richard Courant.- On differential forms:
**Differential Forms: With Applications to the Physical Sciences**, Harley Flanders.