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
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 R^{n} 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 