Lecture 

Tu Th 4:305:45 pm LC 115 
Also, there will be weekly quizzes every Thursday. No calculators, textbooks, or notes will be allowed during quizzes. You should save copies of these quizzes as they are a very good source for preparing for the final and midterms. There may be a number of practice quizzes during the lectures as well.
Doing the homework problems is the most important part of any math class. You may work with a group of your classmates if you are all at about the same level; however, you should definitely try to do many problems on your own. Further, try to practice doing at least some of the problems in settings which resemble that of the test and quizzes, i.e., without using your calculator or constantly referring to the textbook.
Dates  Lectures  
Jan  16 18 
T TH 
1.1 1.2 
Systems of Linear Equations Row Reduction and Echelon Forms 
23 25 
T TH 
1.3 1.4 
Vector Equations The Matrix Equation Ax=b 

30  T  1.5  Solutions of Linear Systems  
Feb  1  TH  1.6  Linear Independence 
6 8 
T TH 
1.7 1.8 
Intro to linear transformations Matrix of a linear transformation 

13 15 
T TH 
1.9 . 
Linear Models in Science Midterm 1 

20 22 
T TH 
2.1 2.2 
Matrix Operations The Inverse of a Matrix 

27  T  2.3  Characterizations of Invertible Matrices  
Mar  1  Th  2.8  Applications to Computer Graphics 
6 8 
T TH 
2.9 2.9 
Subspaces of R^n Subspaces of R^n 

13 15 
T TH 
. . 
Spring Break Spring Break 

20 22 
T TH 
3.1 3.2, 3.3 
Intro to Determinants Properties, Volume 

27 29 
T TH 
. . 
Review Midterm 2 

Apr  3 5 
T TH 
4.1 4.2, 4.3 
Vector Spaces and Subspaces Null Spaces, Column Spaces, and Bases 
10 12 
T TH 
4.4 4.5 
Coordinate Systems The Dimension of a vector Space 

17 19 
T TH 
4.7 5.1, 5.2 
Change of basis Eigenvalues, Characteristic Equation 

24 26 
T TH 
5.3 . 
Diagonalization Fibonacci Sequence 

May  1  T  .  Review 
9  W  .  Final Exam 
Homework #  Due Date  Problems 
1  Jan 23  1.1) 2, 6, 8, 12, 14, 24, 28, 34, 35;
1.2) 2, 6, 10, 14, 31, 32, 33, 35. 
2  Jan 30  1.3) 6, 8, 10, 12, 14, 23, 29;
1.4) 4, 8, 10, 12, 14, 18. 
3  Feb 6  1.5) 2, 6, 14, 16, 26, 36, 38;
1.6) 4, 6, 10, 20, 22, 26, 28, 30, 32, 34, 36. 
4  Feb 13  1.7)2, 4, 10, 12, 14, 16, 18, 20, 24, 30, 34;
1.8) 2, 6, 10, 12, 18, 24, 26, 28, 33. 
5  Feb 20  1.9)2, 4, 10, 12;
Chap 1 Supplementary Exercises) 1, 3, 6, 11. 
6  Feb 27  2.1)2, 4, 8, 12, 16, 20, 24, 26, 30;
2.2) 4, 6, 10, 12, 13, 25, 26. 
7  Mar 6  2.2)23, 24, 30, 32, 34;
2.3)4, 6, 8, 14, 16, 26, 28, 34; 2.8)2, 4, 6, 8, 10, 11. 
8  Mar 20  2.8)7,14;
2.9)2, 4, 6, 8, 10, 16, 18, 22, 24, 26, 28, 34. 
9  Mar 27  3.1)4, 10, 16, 20, 22, 28, 34, 42;
3.2)16, 18, 22, 26, 28, 31, 32, 33, 34, 35; 3.3) 20, 24, 29, 30, 31. 
10  Apr 3  Chap 3 Supplementary Exercises) 4, 6, 7, 9, 12. 
11  Apr 10  4.1) 2, 4, 6, 8, 10, 12, 14, 24, 26, 28, 30;
4.2) 2, 6, 8, 10, 26, 28, 34; 4.3) 2, 4, 6, 11, 12, 23, 24. 
12  Apr 17  4.4) 4, 6, 12, 14, 28;
4.5) 2, 4, 9, 22, 24, 27, 28. 
13  Apr 24  4.7) 8, 10, 14;
5.1) 2, 6, 10, 24, 32; 5.2) 4, 8, 10, 16, 25. 
14  May 1  5.3) 2, 8, 10, 24;
Handout) 2, 3, 4, 5, 7, 8. 
A good deal of class time shall be devoted to working through problems. Do not get into the habit of sitting passively and expecting the professor to make you understand. Rather, you should take out your paper and pencil and try to do the problems at the same time with your instructor. If something is unclear to you, feel free to ask questions, and if you need more help, go see your instructor during the office hours. If you cannot come during the office hours, you are welcome to knock on the professor's door at another time, or send an email for an appointment.