This is a tentative syllabus and it is likely to change as the course progresses.
Date  Reading  sections in textbook  Homework 
Aug. 24, 26  1st Course in Linear Algebra.

Homework 1 due 8/31 in class 
Aug. 29, 31, Sept 2  Vector Spaces. Quiz 1. sec. 1.A1.C 
Homework 2 due 9/7 in class 
Sept. 5,7,9  Span, Linear Independence, and Bases. sec. 2.A2.B 
Homework 3 due 9/14 in class 
Sept. 12,14,16  Dimension and Linear Maps.
Quiz 2. sec. 2.C3.A 
Homework 4 due 9/21 in class 
Sept. 19,21,23  Null Spaces and Matrices. Midterm 1. sec. 3.B3.C 
Homework 5 due 9/28 in class 
Sept. 26,28,30  Invertiblity, Products, and Quotients.
sec. 3.D3.E 
Homework 6 due 10/5 in class 
Oct. 3,5,7  Duality and Polynomials. Quiz 3. sec. 3.F4 
Homework 7 due 10/12 in class 
Oct. 10,12,14  Invariant Subspaces. sec. 5.A 
Homework 8 due 10/26 in class 
Oct. 17,19,21  Fall break.  
Oct. 24,26,28  Eigenvectors. Quiz 4. sec. 5.B 
Homework 9 due 11/2 in class 
Oct. 31, Nov. 2,4  Eigenspaces and Diagonal Matrices. Midterm 2. sec. 5.C 
Homework 10 due 11/9 in class 
Nov. 7,9,11  Inner products and orthonormal bases. sec. 6.A6.B 
Homework 11 due 11/16 in class 
Nov. 14,16,18  Orthogonal Complements and SelfAdjoint operators. Quiz 5. sec. 6.C7.A 
Homework 11 due 11/28 in class (note this is a Monday) 
Nov. 21, (23,25)  Spectral Theorem. Thanksgiving (no
class on 23rd or 25th). sec. 7.B 
Homework 12 due 12/5 (*note this is a Monday) in class 
Nov. 28, 30, Dec. 2  Positive Operators and Isometries. Quiz 6. sec. 7.C 
Homework 13 due 12/5 in class 
Dec. 5, 7  Singular Value Decomposition. sec. 7.D 
