Date  Topics covered  Reading  Homework Assignments 
Monday January 14 
Class introduction, review. 
Review class notes 

Wednesday January 16 
Definition of a vector space, examples of
vector spaces, subvector spaces. 
Review class notes 

Friday January 18 
Linear maps, images, kernels.  Read 2.1  HW1: Due Friday January 25 Problems AF 
Monday January 21 
NO CLASS 
NO CLASS  NO CLASS 
Wednesday
January 23 
Sec 2.1 Matrix multiplication.  Read 1.1  
Friday January
25 
Sec 1.1 Systems of linear equations.  Read 1.2 
HW 2: Due Friday January 31 Problems GL Sec 2.1: 112, 31, 32, Sec 1.1: 16, 1114. 
Monday January 28 
Sec 1.2 Row reduction and echelon
form. 
Read 1.34 

Wednesday January 30 
Sec 1.34 Vector equations, the matrix equation Ax=b.  Read 1.5 

Friday January 31 
Sec 1.5 Solution sets of linear
systems. 
Read 1.67  HW 3: Due Friday February 8 Sec 1.2: 214 even. Sec 1.3: 28 even, 28, 32. Sec 1.4: 220 even. 
Monday
February 4 
Sec 1.7 Linear
independence. 
Read 1.89  
Wednesday
February 6 
Sec 1.89
(Re)Introduction to linear transformations (linear maps),
the matrix of a linear transformation. 
Read 1.10  
Friday
February 8 
Sec 1.10 Linear
models in business, science and engineering. 
Review  HW 4: Due Friday February 15 Sec 1.5: 212 even, 18. Sec 1.6: 1, 8, 12 Sec 1.7: 2, 6, 10, 18 
Monday February 11 
Homework review 
Review  
Wednesday February 13 
Review  Review  Sample Midterm I .pdf 
Friday
February 15 
MIDTERM I 67 PM ECCR 200 (Extra time exams start at 5:30 PM in MATH 220) 
Read 2.12  HW 5: Due Friday February 22 Sec 1.8: 224 even. Sec 1.9: 222 even. Sec 1.10: 1, 2, 8, 9, 10. 
Monday
February 18 
Sec 2.12 Matrix
operations, the inverse of a matrix. 
Read 2.3  
Wednesday
February 20 
Sec 2.3 Characterizations
of invertible matrices. 
Read 2.45  
Friday
February 22 
Sec 2.45 Partitioned
matrices and matrix factorizations. 
Read 2.6 
HW 6: Due Friday March 1 Sec 2.2: 228 even. Sec 2.3: 2, 5, 6, 11, 12, 14, 24, 39. Sec 2.4: 212 even. 
Monday February 25 
Sec 2.6 The Leontief inputoutput
model. 
Read 2.7 

Wednesday February 27 
Sec 2.7 Applications to computer
graphics. 
Read 2.89  
Friday March 1 
Sec 2.89 Subspaces of finite
dimensional real vector spaces. 
Read 3.1  HW 7: Due Friday March 8 Sec 2.5: 216 even. Sec 2.6: 28 even. Sec 2.7: 216 even. Sec 2.8: 16, 1520. 
Monday
March 4 
Sec 3.1 Introduction
to determinants. 
Read 3.2  
Wednesday
March 6 
Sec 3.2 Properties
of determinants. 
Read 3.3  
Friday
March 8 
Sec 3.3 Cramer's
Rule. 
Read 4.1  HW 8: Due Friday March 15 Sec 2.9: 2, 4, 6, 14, 16, 18, 20 Sec 3.1: 2, 8, 10, 20, 26, 37, 38 Sec 3.2: 6, 10, 18, 21, 24, 29, 31, 32, 34, 35 
Monday March 11 
Sec 4.1 Vector spaces and subvector
spaces. 
Read 4.2  
Wednesday March 13 
Sec 4.2 Null spaces, column spaces and
linear transformations. 
Read 4.3  
Friday March 15 
Sec 4.3 Linearly independent sets,
bases. 
Review  HW 9: Due Friday March 22 Sec 3.3: 6, 10, 12, 18, 22, 30 Sec 4.1: 1, 2, 6, 10, 26 Sec 4.2: 2, 4, 8, 12, 16 (The following problems are recommended, but do not turn them in: Sec 4.1 28, 32, 33 and Sec 4.2 26, 28, 30, 33, 34) 
Monday
March 18 
Homework review 
Review  
Wednesday
March 20 
Review  Review 
Sample
Midterm II .pdf 
Friday
March 22 
MIDTERM II 67 PM ECCR 200 (Extra time exams start at 5:30 PM in MATH 220) 
Read 4.4 
HW
10: Due Friday April 5 Sec 4.3: 2, 4, 10, 11, 16, 22 Sec 4.4: 2, 4, 17, 18 (The following problems are recommended, but do not turn them in: Sec 4.3 24, 26, 31 and Sec 4.4 27) 
Week of
March 25March 29 
SPRING BREAK  SPRING BREAK  SPRING BREAK 
Monday April 1 
Sec 4.4 Coordinate systems. 
Read 4.5  
Wednesday April 3 
Sec 4.5 The dimension of a vector
space. 
Read 4.6 

Friday April 5 
Sec 4.6 Rank. 
Read 4.7 
HW 11: Due Friday April 12 Sec 4.5: 4, 6, 14, 21 Sec 4.6: 1, 4, 10, 13, 15, 17 Sec 4.7: 1, 3, 710 (notes and solutions to a few problems on change of basis .pdf) (The following problems are recommended, but do not turn them in: Sec 4.5 22, 25, 29, 30 and Sec 4.6 20, 24, 27) 
Monday
April 8 
Sec 4.7 Change of
basis. 
Read 4.89  
Wednesday
April 10 
Sec 4.89 Applications
to difference equations and Markov chains. 
Read 5.1 

Friday
April 12 
Sec 5.1 Eigenvectors
and eigenvalues. 
Read 5.2  HW 12: Due Friday April 19 Sec 4.9: 1, 4, 10, 19 Sec 5.1: 2, 6, 12, 16, 20 (The following problems are recommended, but do not turn them in: Sec 4.8 2, 4, 6, 8, 10, 19, 20, 21 and Sec 5.1 22, 23, 25, 26, 27, 30) 
Monday April 15 
Sec 5.2 The characteristic equation. 
Read 5.3 

Wednesday April 17 
Sec 5.3 Diagonalization. 
Read 6.1 

Friday April 19  Sec 6.1 Inner product, length and
orthogonality. 
Read 6.23  HW 13: Due Friday April 26 Sec 5.3: 2, 6, 14, 22 Sec 6.1: 2, 4, 16, 19, 20 Sec 6.2: 4, 6, 11, 12, 17, 18 (The following problems are recommended, but do not turn them in: Sec 5.3 27, 31, 32, Sec 6.1 24, 28, 30 and Sec 6.2 25, 28) 
Monday
April 22 
Sec 6.23 Orthogonal
sets and orthogonal projections. 
Read 6.4  
Wednesday
April 24 
Further topics 
Review 

Friday
April 26 
Further topics 
Review  HW 14: Due Friday May 3 Sec 6.3: 2, 6, 8, 14, 22 
Monday April 29 
Further topics 
Review 

Wednesday May 1 
Homework review 
Review  
Friday May 3 
Review 
Review  Sample Final .pdf 
Monday May 6 
FINAL EXAM SEC
003 7:3010:00 PM FLMG 102 (Lecture Room) Extra time starts at 7:00 PM in MATH 220 
FINAL EXAM 
FINAL EXAM 003 
Thursday May 9 
FINAL EXAM SEC
001 7:3010:00 AM MUEN E417 (Lecture Room) Extra time starts at 7:00 AM in MATH 220 
FINAL EXAM 
FINAL EXAM 001 