Math 225 (Rezk, 10:00 TR, Section N1, 145 Altgeld).
Office hours
See my homepage.
Syllabus
Here is the syllabus.
Textbook
Our text is Linear Algebra and its Applications (3rd edition,
Update) by
Lay. [ISBN-10: 0321287134, ISBN-13: 978-0321287137].
(The publisher provides some online
resources, including an online copy of Chapter 1.)
Reading
- Tuesday, January 15. Section 1.1. Systems of Linear Equations.
- Thursday, January 17. Section 1.2. Row Reduction and
Echelon Forms. The examples of row
reduction I gave out in class.
- Tuesday, January 22. Section 1.3. Vector Equations.
- Thursday, January 24. Section 1.4. The Matrix Equation
Ax=b.
- Tuesday, January 29. Section 1.5. Solution Sets of Linear
Systems.
- Thursday, January 31. Section 1.6. Applications.
- Tuesday, Februray 5. Section 1.7. Linear Independence.
- Thursday, Febrary 7. Midterm 1. Study guide
available below.
- Tuesday, February 12. Section 2.1. Matrix Operations.
- Thursday, February 14. Section 2.2. Inverse of a Matrix.
- Tuesday, February 19. Section 2.3. Characterizations of Invertible
Matrices.
- Thursday, February 21. Section 2.6. The Input-Output Model.
- Tuesday, February 26. Section 3.1. Introduction to
Determinants.
- Thursday, February 28. Section 3.2. Properties of
Determinants.
- Tuesday, March 4. Section 3.3. Cramer's Rule and Volume.
- Thursday, March 6. Section 4.1. Vector Spaces and
Subspaces.
- Tuesday, March 11. Section 4.2. Null Spaces and Column
Spaces.
- Thursday, March 13. Section 4.3. Bases.
- Tuesday, March 25. Section 4.5. The Dimension of a Vector
Space.
- Thursday, March 27. Section 4.6. Rank
- Tuesday, April 1. Midterm 2.
- Thursday, April 3. Seciton 5.1. Eigenvalues and
Eigenvectors.
- Tuesday, April 8. Section 5.2. The Characteristic
Equation.
- Thursday, April 10. Section 5.3. Diagonalization.
- Tuesday, April 15. Section 6.1. Inner product, length, and
Orthogonality.
- Thursday, April 17. Section 6.2. Orthogonal Sets.
- Tuesday, April 22. Section 6.3. Orthogonal Projections.
- Thursday, April 24. Section 6.5. Least Squares Problems.
- Tuesday, April 29. Section 6.6. Applications to Linear Models.
Tests
Homework
- Tuesday, January 22. 1.1: 7, 11, 13, 15,
31. 1.2: 3, 7,
11, 15.
- Tuesday, January 29. 1.3: 5, 9, 11, 13,
15. 1.4: 5, 11, 13, 15, 21.
- Tuesday, February 5. 1.5: 2, 4, 8, 12, 16,
18. 1.6: 1, 5, 12.
- Tuesday, February 12. 1.7: 2, 6, 8, 10, 14, 20.
(Although this set is due the class after the exam, try to do them
before the exam, since linear independence is covered on the exam.)
- Tuesday, February 19. 2.1: 8, 10, 18,
22. 2.2: 2, 8, 14, 26, 32.
- Tuesday, February 24. 2.2: 10, 20. 2.3: 2, 4,
6, 8, 20. 2.6: 6, 10,
- Tuesday, March 4. 3.1: 2, 10, 12, 36. 3.2: 6,
8, 38, 40.
- Tuesday, March 11. 3.3:: 4, 6, 8, 14, 20,
22. 4.1: 2, 6, 8.
- Tuesday, March 25. 4.2:: 2, 6, 12, 16. 4.3:
6, 14, 20.
- Tuesday, April 1. 4.5: 5, 10, 14, 16,
18. 4.6: 2, 6, 10, 16.
- Tuesday, April 8. 5.1: 2, 6, 8, 10, 14, 26.
- Tuesday, April 15. 5.2: 2, 4, 6, 10,
16. 5.3: 2, 4, 6, 8, 14.
- Tuesday, April 22. 6.1: 2, 10, 14, 24,
28. 6.2: 2, 6, 10, 12, 14.
- Tuesday, April 29. 6.3: 2, 4, 8, 12,
16. 6.5: 2, 4, 6, 12.
- Not to be turned in. 6.6: 2, 4, 8, 10.
Contact info.
email: 
office: Illini Hall 242
office hours: Check here.
Last modified 27 April 2008
by Charles Rezk.
