UTSA logo Linear Algebra and Matrix Theory
MAT 6973
Fall, 2006
Instructor: J. Iovino
 

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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