MATH 410 — Advanced Calculus I

The class meets at 12 pm MWF in 316 Taft Hall (Call no. 24551/24553)

Course description: Functions of several variables, differentials, theorems of partial differentiation. Calculus of vector fields, line and surface integrals, conservative fields, Stokes' and divergence theorems. Cartesian tensors.

Prerequisites: Grade C or better in Math 210.

Course drop policy: See the university policy

Textbook: J. Marsden and A. Tromba, Vector Calculus 6th edition

Homework and quizzes: The homework problems will be posted here, however, I will not collect the homework. Instead, a short in-class quiz will be given approximately every week. The quiz will be based on the homework problems. There will be no make up quizzes, but the lowest quiz score will be dropped.

Exams: There will be one midterm exam on Friday October 27, and a final exam on Tuesday December 12 at 8:00 am — 10:00 am in Taft Hall 316.

Grading: 50% final exam, 30% midterm exam, 20% quizzes.

Tentative grade cutoffs (can decrease, but not increase):

Disability policy: The University of Illinois at Chicago is committed to maintaining a barrier-free environment so that students with disabilities can fully access programs, courses, services, and activities at UIC. Students with disabilities who require accommodations for access to and/or participation in this course must be registered with the Disability Resource Center (DRC). You may contact DRC at 312-413-2183 (voice) or 312-413-0123 (TTY).

Tentative syllabus:
Week Topics Homework
Week 1, Aug 28—Sep 1 2.2, 2.3 2.2: 3, 5ac, 6, 11b, 12c
2.3: 1c, 2b, 5, 13c
Week 2, Sep 6—8 2.4 2, 7, 13, 17
Week 3, Sep 11—15 2.5—2.6 2.5: 3, 4, 5c
2.6: 2a, 3b, 4b, 5c, 9, 22
Week 4, Sep 18—22 3.1—3.3 3.1: 2, 6, 12, 19, 23
3.2: 2, 5
3.3: 1, 4, 5, 11
Week 5, Sep 25—29 3.3 (cont.), 3.4 3.3: 22, 24
3.4: 2, 5, 7, 8, 10, 12
Week 6, Oct 2—6 4.1—4.3 4.1: 3, 7
4.2: 2, 10
4.3: 2, 3, 11, 16
Week 7, Oct 9—13 4.4, 5.1 4.4: 2, 14, 17, 25
5.1: 1ad, 3b, 6, 7
Week 8, Oct 16—20 5.2, 5.3 5.2: 1c, 3, 5
5.3: 1c, 3cd, 7
Week 9, Oct 23—27 5.4, 5.5, Midterm exam 5.4: 1bc, 2, 4ac
5.5: 1, 6, 10, 16
Week 10, Oct 30—Nov 3 6.1—6.3 6.1: 1, 2, 3, 7
6.2: 23, 26, 30
6.3: 3, 5, 9
Week 11, Nov 6—Nov 10 7.1—7.2 7.1: 2, 10, 14
7.2: 1, 3, 6
Week 12, Nov 13—17 7.3—7.4 7.3: 1, 3, 9, 15
7.4: 4, 5, 6, 18
Week 13, Nov 20—22 7.5—7.6 7.5: 1, 4, 5, 13
7.6: 1, 3, 10, 14
Week 14, Nov 27—Dec 1 8.1—8.2
Week 15, Dec 4—8 8.3—8.4

Sample finals: Final 1, Final 2

I will be continuously updating this webpage as the course progresses. Please watch this webpage, although I will try to announce any further changes by e-mail.