MATH-UA 224: Vector Analysis

Textbook: C. H. Edwards, Advanced Calculus of Several Variables. Order directly from Dover Publications. The paperback version is $29.95, the digital version $23.96, and both together for $32.95

Calendar (subject to change)
Week Date Topics
1 Monday, 1/28/2019 Review of deductive logic
Wednesday, 1/30/2019 Edwards, I.1, I.2, I.3:
Vector spaces
Subspaces
Linear independent set of vectors
Basis of a vector space
2 Monday, 2/4/2019 Edwards, I.4, I.5:
Inner product
Linear maps and matrices
Kernel and image of a linear map
Wednesday, 2/6/2019 Edwards, I.6:
Determinants
3 Monday, 2/11/2019 Edwards, I.7, I.8:
Topology of Rn
Limits and continuity of functions
Wednesday, 2/13/2019 Edwards, II.1, II.2:
Parameterized curves in a vector space
Directional derivatives
Differential of a function
4 Monday, 2/18/2019 No class, Presidents' Day
Wednesday, 2/20/2019 Edwards, II.3:
Chain rule
5 Monday, 2/25/2019
Wednesday, 2/27/2019
6 Monday, 3/4/2019
Wednesday, 3/6/2019
7 Monday, 3/11/2019
Wednesday, 3/13/2019
  3/18/2019, 3/20/2019 No class, Spring Recess
8 Monday, 3/25/2019
Wednesday, 3/27/2019 Midterm
9 Monday, 4/1/2019
Wednesday, 4/3/2019
10 Monday, 4/8/2019
Wednesday, 4/10/2019
11 Monday, 4/15/2019
Wednesday, 4/17/2019
12 Monday, 4/22/2019
Wednesday, 4/24/2019
13 Monday, 4/29/2019
Wednesday, 5/1/2019
14 Monday, 5/6/2019
Wednesday, 5/8/2019
15 Monday, 5/13/2019