Date 
Topic 
Homework and Remarks 
Aug. 19 
Review: linear systems and solving linear
systems by using elementary row operations (Reading assignment: Ch. 1 of [B].) 
Due 8/26: p.5 # 9, 15, 19 p.18 #7, 9, 18, 35, 37 p.34 #34, 35, 36, 37, 49, 55, 57, 59. 
Aug. 21 
Matrix as linear transformation ([B] Sec.
2.1, 2.2) 
Due 9/4: p.53 # 5, 7, 11, 37, 36 p.71 #7, 10, 11, 1923 p.85 #34, 35, 39, 48, 61, 63 p.97 #5, 15, 30, 31, 39, 41. 
Aug. 26 
Linear transformation (cont.) ([B] Sec. 2.3,
2.4) 

Aug. 28 
Linear independence, linear span, and
subspace. ([B] Ch. 3) 

Sept. 4 
Image and Kernel of a linear transformation ([B] Ch. 3)  Quiz 1, covers Ch. 1 and Ch. 2 of [B]. 
Sept. 9 
Basis, dimension, and coordinates ([B] Ch. 3)  
Sept. 11 
Linear transformation again ([B] Ch. 4) 

Sept. 16 
Linear transformation again ([B] Ch. 4) 

Sept. 18 
Linear transformation again ([B] Ch. 4) 
Quiz 2, covers Ch. 3 
Sept. 23 
Orthogonal bases and orthogonal projections
([B] Sec. 5.1) 

Sept. 25 
GramSchmidt Process and QR factorization
([B] Sec. 5.2) 

Sept. 30 
Orthogonal transformations ([B] Sec. 5.3) 

Oct. 2 
Midterm 1 
Covers Ch. 1, 2, 3, 4, and Sec. 5.1. 
Oct. 9 
Least squares and data fitting ([B] Sec. 5.4) 

Oct. 14 
Inner product spaces ([B] Sec. 5.5) 

Oct. 16 
Determinants ([B] Ch. 6) 

Oct. 21 
Eigenvalues and eigenvectors ([B] Ch. 7) 

Oct. 23 
Complex eigenvalues ([B] Ch. 7)  Quiz 3, covers Ch. 5 
Oct. 28 
Diagonalization (and the lack of diagonalization) of matrices ([B] Ch. 7)  
Nov. 4 
On dynamical systems and stability ([B] Ch. 7)  
Nov. 6 
Symmetric matrices ([B] Sec. 8.1) 
Quiz 4, covers Ch. 7 
Nov. 11 
Quadratic forms ([B] Sec. 8.2) 

Nov. 13 
Midterm 2 
Covers Ch. 5, 6, 7. 
Nov. 18 
SVD, singular value decomposition ([B] Sec.
8.3 and notes) 

Nov. 20 
SVD (cont.) 

Nov. 25 
Review 

Dec. 2 
Review 

Dec. 11 
Final Exam, 2:40p,  5:30pm 
