Time/place: Tuesday and Thursday, 9:30--10:45am in room 245 Altgeld Hall
Instructor: Prof. R. Kedem
Office: 342 Illini Hall
Office hours: TuTh 11-12.
Tutoring hours: For help with homework, you can go to
Altgeld Hall 345:
Monday 4-8pm
Tues 5-7pm
Wed 4-8pm
Thu 5-7pm
Here's a solution to the final
for the curious.
Syllabus in pdf format.
If you are a student in this class you can access your grades via this link.
Tentative schedule, subject to change! Check often (reload the page!). If there is a worksheet listed under "material covered in class" on the night before class, complete the worksheet and hand it in at the beginning of that class period. Homework is to be handed in on listed due date, in class, at the beginning of class
The homework problem numbers refer to the official text for the course, Linear Algebra with Applications, 4/E, Otto Bretscher. Electronic Version.
|
Date |
Lecture |
Material covered in class |
Homework |
| 1/17 | 1 | Linear equations and Gaussian elimination |
Section 1.1 7,9,11,15,17,22,25,26,28,29,31 due 1/24. |
| 1/19 Worksheet | 2 | Row echelon forms and matrix algebra |
Section 1.2 1,3,5,8,17 (find a software program to help you), 19,20,29,30,33,36 due 1/24 |
| 1/24 Worksheet | 3 | Types of solutions to linear systems |
solutions to graded
problems from hw1. |
| 1/26 Worksheet | 4 | Linear transformations |
Section 2.1 5,6,8,35,40,41 due 1/31 Section 2.2 12,19,26,27 due 1/31 |
| 1/31 (in-class worksheet) | 5 | Matrix multiplication and linear transformations |
Solutions to some
problems in hw2. |
| 2/2 Worksheet | 6 | Inverses |
Section 2.4 5,6,8,10,29,34,35,38,41,42,43 due 2/7. Solutions 2.3, 2.4 |
| 2/7 | Exam I | Exam I | Covers Chapters 1 and 2 Solutions |
| 2/9 | 7 | Applications | See notes |
| 2/14 | 8 | Subspaces associated with linear maps |
Section 3.1: 6,8,13,15,17--19, 23--25, 31,33,34,37,44 due 2/16. |
| 2/16 | 9 | Linear independence, span of a set of vectors |
Section 3.2: 3.2: 1,2,3,8,18,19,26,32,33,34,36,37,38,45,46,49.due 2/23. |
| 2/21 | 10 | Bases and dimension of a vector space |
Section 3.3: 11-20,25,27,29,30,32,33,36 due 2/23. Solutions |
| 2/23 | 11 | Coordinate vectors, change of basis map |
Section 3.4: 12-16,25,26,37,38,43 due 3/1. |
| 2/28 | 12 | Abstract vector spaces |
Section 4.1: 1,2,20,21,23,29 due 3/1. Solutions |
| 3/1 | 13 | Linear transformations of vector spaces |
Section 4.2: 1-7,9,13,17-21,22,24-27,30,32,53,56,59 due 3/8. |
| 3/6 | 14 | Matrix representation of a linear transformation |
Section 4.3: 3,5,6,21,41,49,57 due 3/8. |
| 3/8 | Exam II | Exam II | Covers Chapters 1-4 |
| 3/13 | 15 | 5.1. Orthogonal sets, projections |
Section 5.1: 3,6,10,13,15,16,17,19,26,27,29 due Thursday 3/29 |
| 3/15 | 16 | NO CLASS | |
| 3/27 | 17 | Gram Schmidt process |
Section 5.2: 6,7,13,20,21,27,32,33,34,35 due Thursday 3/29 |
| 3/29 | 18 | Other inner product spaces |
Section 5.5: 1,2,5,6,16,23,24 due 4/5. |
| 4/3 | 19 | Determinants: Definition |
Section 6.1: 5,7,9,15,21,25,29,39, due 4/5. |
| 4/5 | 20 | Determinants: Properties |
Section 6.2: 1, 7, 8, 11--16, 31, 32, 38, 39, 40, 46, due 4/12 Section 6.3: 1, 2, 3, 4, 7 due 4/12 |
| 4/10 Preclass worksheet | 21 | Eigenvectors and Eigenvalues I |
Section 7.1: 1, 3, 5, 7, 9, 11-16, 19, 21, 30-33: due 4/12 Section 7.2: 1,3,5,7,9,11,13, 15, 16, 19, 28: due 4/12 |
| 4/12 | 22 | Eigenvectors and Eigenvectors II |
Section 7.3: 1-17 odd, 20, 21, 22, 24, 25, 27, 28, 29, 30, 31, 35, due 4/19. Section 7.4: 1-19 odd, 26, 31, 36, 39, 40, 49, 50 due 4/19 |
| 4/17 | 23 | Diagonalization procedure, complex eigenvalues |
Section 7.5: 1-9, 13, 17, 25: due 4/19 |
| 4/19 |
Exam III |
||
| 4/24 | 24 | Symmetric matrices |
Section 8.1: 5, 9: due 5/1 |
| 4/26 | 25 | Linear differential equations |
Section 9.1: 29, 30, 31: due 5/1 |
| 5/1 | Review | ||
| 5/9 | final 1:30-4:30pm room 62 KAM | some practice finals. |