Date    Chapter.Section/Topics   or   Page/Problems

T  Jan 11   Lecture 1: Introduction: Vector Spaces
            Assignment 1 Due Tuesday January 25
Th   13     Lecture 2: Subspaces
            Assignment 2 Due Tuesday February 1
T    18     Lecture 3: More on sums of subspaces 
                       Linear Independence
Th   20     Lecture 4: Linear Independence
            Assignment 3 Due Tuesday February 15
T    25     Lecture 5: 
Th   27     Lecture 6:
T  Feb 1    Lecture 7: Test for linear independence
                       Size of spanning sets compared to 
                       size of linearly independent sets
            Assignment 4 Due Tuesday February 22
Th    3     Lecture 8: spanning sets and subspaces
                       polynomials and proof by induction
                       Basis for a vector space
T     8     Lecture 9: Polynomials(?)
                       Dimension
            Assignment 5 Due Tuesday March 1
Th   10     Lecture 10: Dimension and Linear Functions
T    15     Lecture 11: Linear Functions (Group Activity)
Th   17     Lecture 12: Linear Functions (Null Space and Range Space)
            Assignment 6 = Exam 2 Due Tuesday March 8
T    22     Lecture 13: Linear Functions (injective, surjective, and bijective)
                        (pre-recorded Sunday February 20, 2022)
            Assignment 7 Due Tuesday March 22
Th   24     Lecture 14: Linear Functions and Matrices
                        (pre-recorded Sunday February 20, 2022)
T  Mar 1    Lecture 15: Linear Functions and Invertibility
Th    3     Lecture 16: More on invertibility
T     8     Lecture 17: Quotient spaces
            Assignment 8 Due Tuesday March 29
Th   10     Lecture 18: Quotient spaces and product spaces
T    15     Lecture 19: Dual spaces
            Assignment 9 Due Tuesday April 5
            Assignment 10 Due Tuesday April 12
Th   17     Lecture 20: Duality
T    22     spring break
Th   24     spring break
T    29     Lecture 21: Duality
Th   31     Lecture 22: Duality (and Polynomials and Eigenvalues)
T  Apr 5    Lecture 23: Polynomials and Eigenvalues
            Assignment 11 Due Tuesday April 19
Th    7     Lecture 24: Duality summary and rank of a matrix
                        Eigenvalues and Eigenvectors
T    12     Lecture 25: Eigenvectors and diagonalization
                        Conjugation
            Assignment 12 Due Tuesday April 26
            Final Comments
            Final Assignment Due Tuesday April 28
Th   14     Lecture 26: Jordan Shear in the plane
T    19     Lecture 27: More on Jordan Shear
                        Matthew on Final Problem 41
Th   21     Lecture 28:  
T    26     Last lecture  
Th   28     
T  May 3    final exam 2:40-5:30