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Linear Algebra and Matrix Theory
MAT 6973
Fall, 2006
Instructor: J. Iovino
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The course has been scheduled for Tuesdays and Thursdays, 3:30pm-4:45pm.
Prerequisites
MAT 2233 or an equivalent.
Content
The theory of vector spaces over fields and linear transformations. Canonical forms.
Textbook
Kenneth and Ray Kunze,
Linear Algebra, second edition,
Prentice Hall, 1971.
Additional References
Paul Halmos,
Finite-Dimensional Vector Spaces, second edition,
Springer-Verlag, 1974.
Evaluation
There will be five problem sets.
Each problem set will be worth 20% of the grade.
You should be prepared to sustentate your solutions orally.
How to contact the instructor
Office: SB 4.02.50
Telephone: 210-458-5531
Email: iovino at math.utsa.edu
Office hours: Tuesdays and Thursdays, 5-6 pm, or by appointment.
Material Covered
- 8/23: Section 1.1. Assignment: exercise 8, p. 5. (Due 9/19.)
- 8/29: Section 1.2. Sarted Section 1.3. (Due 9/19.)
- 8/31: Sections 1.3 and 1.4. Assignment: exercises 1, 4, 5, 7, p. 11. (Due 9/19.)
- 9/5: Section 1.5. Assignment: exercises 3, 4, p. 21. (Due 9/19.)
- 9/7: Section 1.6. Assignment: exercises 7, 9, p. 27. (Due 9/19.)
- 9/12: Section 2.1. Assignment: exercises 4, 5, p. 34. (Due 10/12)
- 9/14: Section 2.2. Assignment: exercise 1, parts (c), (d), (e), p. 39. (Due 10/12)
- 9/19: Finished Section 2,2. (Lecture by Dr. Chen.)
- 9/21: Started Section 2.3. (Lecture by Dr. Chen.)
- 9/26: Remarks on the first assignment. Assignment: exercises 1, 2, 4, 5, 10, 12, 14, p. 48. (Due 10/12.)
- 10/3: Section 2.3 and 2.4. Assignment: exercises 3, 7, p. 55. (Due 11/9.)
- 10/5: Section 3.1. Assignment: exercises 1(c), 1(e), p. 73. (Due 11/9.)
- 10/10: Exercises.
- 10/12: Section 3.1. Assignment: exercises 3, 7, 12, p. 73. (Due 11/9.)
- 10/17: Section 3.1, continued.
- 10/19: Finished Section 3.1. Started Section 3.4.
- 10/24: Finished Section 3.4. Started Section 3.2. Exercises 1(c), 1(d), 7 p. 95, and 2, 3, p. 83. (Due 11/9.)
- 10/31: Sections 3.2 and 3.3. Exercises 1, p. 83 and 6, p. 86. (Due 11/30.)
- 11/2: Section 5.1. Started Section 5.2.
- 11/7: Section 5.2. Exercises 1, 9, 12. (Due 11/30.)
- 11/9: Course surveys. Section 5.2 continued.
- 11/14: Sections 5.2 and 5.3. Exercises 2, 3, 7, p. 155. (Due 11/30.)
- 11/16: Section 5.3.
- 11/21: Sections 5.3 and 5.4.
- 11/28: Sections 5.3 and 5.4.
- 11/30: Finished Section 5.4. Exercises 1(b), 2(a), 3, 7, and 9, p. 163. (Due 12/8.)
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