Gabriel Nagy

Visiting Assistant Professor
Office: Wells Hall A-307
Phone: (517) 353-4484
email: gnagy@math.msu.edu


MTH 415 Lecture 001
Applied Linear Algebra


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Homework

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Homework
From the textbook: C. Meyer, Matrix analysis and applied linear algebra.
Exercises in green are extra practice before exams.
They are not part of the homeworks.

Week 01 (Review)

01/12  1.2:
1, 2, 5, 6,10.   Extra: 3, 4, 8, 9
01/14  1.3: 1, 3.  Extra: 2.
01/16  1.4: 1. Extra: 3.

Week 02 (Review)
01/19  No classes - Martin Luther King Day.
01/21 
1.5: 1, 2, 3, 6.  Extra: 4(a)(b)(d).
01/23 
1.6: 1(a)(c), 2(a), 5. Extra: 3(a)(b), 4.
01/23  Due Homework Week 01, Sects. 1.2, 1.3, 1.4.
 

Week 03 (Review)
01/26  2.1: 1(a)(b), 2, 5Extra: 4, 6.--  2.2: 1(a), 3. Extra: 2.
01/28  2.3: 1(a)(c), 3, 5 Extra: 1(c)(d), 4.
01/28  Due Homework Week 02, Sects. 1.5, 1.6.
01/30  2.4: 1(a)(b), 2, 5, 6. Extra: 1(c)(d), 3, 4, 8.-- 2.5: 1(a)(b), 4, 5. Extra: 1(c)(d).

Week 04
02/02  Review
02/04  Exam 1: Covers sections 1.2-1.6, 2.1-2.5.
02/04  Due Homework Week 03, Sects. 2.1, 2.2, 2.3, 2.4, 2.5.
02/06  3.2: 1, 2, 3, 4.--  3.3: 1, 2, 4. 
02/06  End of Tuition Refund.

Week 05
02/09  3.4: 1, 2, 3.--  3.5:  1, 2, 3, 4, 8.
02/11 
3.6:  2, 3, 7, 8, 10. 
02/11  Due Homework Week 04, Sects. 3.2, 3.3.
02/13  3.7: 1(a)(c), 2, 5, 6, 10(a).

Week 06
02/16  3.10: 1, 2(a), 3, 6
02/18 
4.1: 1, 2, 3, 5, 6, 8.
02/18  Due Homework Week 05, Sects. 3.4, 3.5, 3.6, 3.7.
02/20  4.1. 4.2: 1, 2, 3, 5, 6.

Week 07
02/23  4.2: 1, 2, 3, 5, 6. Extra: 4.
02/25 
Review.
02/27  Due Homework Week 06, Sects. 3.10, 4.1.
02/27  Exam 2: Covers sections 3.2-3.7, 3.10, 4.1.

Week 08
03/02  4.3: 1ab, 2, 5, 6, 7. Extra: 1cde, 10 11.
03/04  4.4: 1, 2, 3, 4, 5, 6. Extra: 8.
03/04  Middle of Semester - Last day to drop a course with no grade reported.
03/06  4.7: 1, 2, 3, 5, 6, 7, 8. Extra: 11, 17.
03/06  Due Homework Week 07, Sects. 4.2, 4.3.

Spring Break Week
03/09,  03/11, 03/13.

Week 09
03/16  4.7: 1, 2, 3, 5, 6, 7, 8. (The same as in previous week.)
03/18  4.8:  1, 2, 3, 4, 5. Extra: 6, 9.
03/20  5.1: 1, 2, 4, 5. Extra: 6, 8a.
03/20  Due Homework Week 08, Sects. 4.4, 4.7.

Week 10
03/23  5:3: 1, 2, 4. Extra: 3.
03/25  5.2: 1, 3, 4, 5.
03/27  5.2: 1, 3, 4, 5.
03/27  Due Homework Week 09, Sects. 4.8, 5.1.

Week 11
03/30  Review
04/01  Exam 3: Covers sections 4.2-4.4, 4.7, 4.8, 5.1-5.3.
04/03  5.4: 1, 2, 3, 4, 5, 6, 8, 10, 20.
04/03  Due Homework Week 10, Sects. 5.2, 5.3.

Week 12
04/06  5.4:  See above for homeworks.
04/08  5.5: 1ab, 2, 3, 4, 5, 6. Soon: Extra probls. on projections onto subspaces.
04/10  5.11:  1, 2, 3, 4, 5a. Skip: UVR factorization.
04/10  Due Homework Week 11, Sects. 5.4.

Week 13
04/13  4.6:  1, 2, 3, 6. (Least squares.)
04/15  5.5: See above.
04/17  6.1: 1, 2, 3ab, 5, 7, 11.
04/17  Due Homework Week 12, Sects. 5.5, 5.11, 4.6.

Week 14
04/20  6.2: 1c, 2a, 3a, 5a. 
04/22  7.1: 1, 2, 3, 6, 9, 10. Skip: Gerschgorin circles.
04/24  7.2: 1, 2, 3, 4, 5, 6.
04/22  Due Homework Week 13, Sects. 6.1, 6.2.
 
Week 15
04/27  7.3: 1, 3. Soon: Extra probls. on functions of matrices.
04/29  Review
05/01  Review
05/01  Due Homework Week 14, Sects. 7.1, 7.2, 7.3.

05/04
Final Exam: Cumulative, covering all sections.