## Math 318 Spring 2018

Calculus of Several Variables

**Lecture:** Monday, Wednesday and Friday, 3:00 pm - 4:00 pm in Hillman 70

**Instructor:** Michael Hartz, mphartz@math.wustl.edu, Cupples 1 Room 107A.

**Office Hours:** Monday 2:00 pm - 3:00 pm, Wednesday 1:30 pm - 2:30 pm, Thursday 2:30 pm - 3:30 pm, and by appointment

**Textbook:** *Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds* by Theodore Shifrin

**Prerequisites:** Math 233 and Math 309

**Official Description:**
Differential and integral calculus of functions of n-variables making some use of matrix algebra, and at a level of rigor intermediate between that of Calculus III and upper level analysis courses.

**Content:** Limits and continuity in R^n, derivative of multivariable functions, extreme values, Lagrange multipliers, inverse and implicit function theorems, integration, differential forms
and Stokes' theorem (time permitting).

**Exams:** There will be two midterms and one final:

Midterm 1: February 16, 3:00 pm - 4:00 pm (in class)

Midterm 2: March 30, 3:00 pm - 4:00 pm (in class)

Final: May 3, 6:00 pm - 8:00 pm

The second midterm and the final will be cumulative.

**Homework:** There will be weekly homework, which will be submitted through Crowdmark.
When a homework set is assigned, registered students will receive an email with a due date and a submission link.
You will need to use the submission link to upload your scanned solution.
After an assignment is graded, you will receive another email with a link to view your graded homework.

**Grading Scheme:**
Homework: 15%

Midterm 1: 25%

Midterm 2: 25%

Final: 35%

Your lowest two homework assignment scores will be dropped. If you cannot turn in a homework
assignment for some reason, it will count as one of your dropped homework scores.
Your lowest midterm exam score will be replaced with your final exam score if this
increases your grade. If you miss one midterm exam for some reason,
the missed exam grade will be replaced with your final exam grade.
Absences on both midterm exams or on the final exam require a documentable
excuse and a discussion with the instructor.

**Letter Grades:**
Letter grades will be given based on your overall score. The cutoffs will be no higher than the following: A-: 85%, B-: 70%, C-: 55%, D: 50%

**Collaboration:** You are allowed
to discuss homework problems with other students provided that you have already made
a serious attempt to solve the problem yourself. You must write up your solution on your own.

**Academic Integrity:** All students are expected to adhere to the University's
academic integrity policy.

**Assignments**

Assignments and solutions are available on Blackboard.