**Instructor:** Jeffrey
Diller (click for contact info, general policies, etc.)

**Official Time and place:** MWF 11:35-12:25 AM in DBRT 316,
and Th 11-11:50 in HH 127

**Textbook: ***Vector Calculus, Linear Algebra, and
Differential Forms: A Unified Approach *(4^{th} edition)
by Hubbard and Hubbard. This semester I will rely more heavily
on the online vector
calculus notes by Frank Jones.

**What we'll cover:** This class
is the second semester in a two semester sequence. My plan for this
semester is to cover the following

·
Higher (especially 2^{nd}) partial derivatives

· Integration on rectangles

· Line integrals and Green’s Theorem

· Integration on surfaces

· Stokes’ and Gauss’ Theorems

· (time permitting) Beyond curves and hypersurfaces: manifolds in R^n and the general form of Stokes Theorem

**How you will be evaluated:**

**Homework:**
40% assigned and collected on Fridays, worth 40% of your final grade.
I highly encourage you to work together on homework assignments, but
I expect you to write up solutions yourself. No copying allowed!
Occasionally I give out extra credit problems. On these, I expect you
to work alone.

**Midterm Exam:**
Tuesday 3/18 from 6:30-8:30 in Hayes-Healy 125, worth 20% of final
grade.

**Final Exam:**
Wednesday 5/6 from 4:15-6:15 in DBRT 316 (our usual classroom).
comprehensive and worth 30% of final grade.

**Paper: **required jointly
for this course and honors algebra sequence, worth 10% of your grade
for my class. It should be about 10 pages long and
contain both some rigorously presented math and some historical
context surrounding your chosen topic. It will be due
April 9 and can also be entered in the math department’s annual
Taliaferro competition.