323hspring13syllabus

Math 323 honors Spring 2014 Syllabus:

Tentative Syllabus
This is a tentative syllabus as of 01/08/14. It is subject to change without notice.
Text: Linear Algebra with Applications, eighth edition by Steven J. Leon, Prentice Hill.
ISBN 978-0-13-600929-0
Week 1: Jan. 14,16: 1.1-1.6
Week 2: Jan. 21,23: 2.1-2.3
Week 3: Jan. 28,30: additional material on determinants
Week 4: Feb. 4,6: 3.1-3.3
Week 5: Feb. 11,13: 3.4, Test I 2/13 covering chapters 1 and 2
Week 6: Feb. 18,20: 3.5, 3.6, 4.1
Week 7: Feb. 25,27: 4.2, 4.3
Week 8: Mar. 4,6, 6.1,6.2, Test II 3/6
Spring break: Mar 10-14.
Week 9: Mar 18,20:, 6.3, 5.1-2
Week 10: Mar 25,27: 5.3-5
Week 11: Apr. 1,3: 5.6,5.7
Week 12: Apr. 8,10: Test III 4/8, April 10: help session in class
Week 13: Apr. 15,17: 6.4-6
Week 14: Apr. 22,24:6.7-8 (last class)
Final Exam Friday May 2, 2013, 12:30-2:30pm.

Homework

Instructions: Hand in all problems. Unless otherwise stated, section and page references and problems are from Leon.

Note: Homework is subject to change - this is just tentative. Assignments will be definitively fixed a week before
they are due.

HW #1: Due Tues. 1/21
Read Sections 1.1-1.6
Problems, Section 1.1, pp. 10-11: 2b, 3b , 6g, 9
Section 1.2, pp. 22-26: 5e , 6d , 10
Section 1.3, pp. 42-44: 4b, 17,
Section 1.4, pp. 56-58: 5 , 12, 18, 24b, 25 Section 1.5, pp. 66-68: 3b, 5 , 6,
HW #2: Due Tues. 1/28
Read Sections 2.1-3
Problems, Section 1.5, pp. 66-68: 10g , 11
Section 1.6, pp. 75-77: 11 , 12
Section 2.1, pp. 90-91: 1, (3dg) , 4, 6 , 9 , 11, Section 2.2, pp. 97-98: 1, (3ef) , 4 , 5, 6, 12 , 13,

HW #3: Due Tues. 2/4
Section 2.3, pp. 105-6: (1cd), (2ce), 3,8,10 plus this handout
HW #4: Due Tues. 2/11
Read Sections 3.1-3.3
Problems, Section 3.1, pp. 116-117: 6 , 9, 12, 13
Section 3.2, pp. 125-127: 1e, 2b, 3g, 4cd , 5, 8 , 11d, 12e ,20 , 22,
Section 3.3, pp. 137-138: 2cd , 5 , 6 ,16 , 18
plus this handout (please hand in the handout separately)
HW #5 Due Tues. 2/18 Sect. 3.4, pp. 143-144: (2cd) , 5 , 7 , 10 , 16
Sect. 3.3 8 a,d, plus the two problems on this handout
HW #6: Due Tues. 2/25
Read Section 3.5-3.6 and 4.1
Problems: Section 3.5, p. 153: 1ac, 2ac, 5 , 6 , 8 , 9, 11
Section 3.6, pp. 159-161: 1, 2, 3 , (4bcdf) , 6, 8, 15 , 18, 20 , 24, 26.
HW #7: Due Tues. 3/4
Read Sections 4.2-3 Problems:
Section 4.1, p. 174-175: 4, 6ad , 8a, 17b, 20, 21 , 22
Section 4.2, pp. 187-189: 2c, (3c) , 5bc, 6 , 13, 20,
Section 4.3, p. 194-195: 1bc, 2 , 3 , 4 , 13
Plus this handout
HW #8: Due Tues. 3/18
Read Sections 6.1-3.
Problems, Section 6.1, pp. 294-296: (1dbfj) , 2, 3 , 8, 11 , 17, 18 , 33 plus write down a matrix
expressing the complete symmetric functions h_1(x),...,h_d(x) in terms of the elementary symmetric
functions e_1(x),...,e_d(x). (What you should have done in the special case d=5 for the exam)
HW #9: Due Tues. 3/25 Section 6.2, p. 305-306: (2c) , 4
Section 6.3, pp. 322-324: (1cdf) , 6, 7 , (8ef) , 18, 19. Honors problems 1. Let A be an nxn matrix, show that the trace of A^k (A raised to the k-th power) is the k-th power sum function of the eigenvalues of A (counted with multiplicity). 2. Use this
to determine an efficient algorithm for computing the determinant of A without Gaussian elimination. (Hint: the determinant of A is the n-th elementary symmetric function of the eigenvalues.)
HW #10: Due Tues. 4/1
Read Sections 5.3-5, pp. 296-321.
Problems:
Section 5.1, p. 212-213: 1d, 3d , 4, 6 , 9, 13
Section 5.2, pp. 221-222: 4 , 6 , 9, 12
Section 5.4, p. 239-241: 9, 12, 20, 26
plus this handout
HW #11: Due Tues. 4/8
Read Sections 5.6,5.7
Problems: Section 5.3 (1c),(3b),5,6,14
Section 5.5, pp. 257-259: 2, 8, 9, 33
HW #12 Due Tues 4/14: this handout
HW #13: Due Tues. 4/22
          Problems
          Section 6.4 pp. 334-5 (1b),2,4abc,(5cd),6
          Section 6.5 p350 2,3,6
Optional last HW (for extra credit or final exemption) due Friday May 2

To get an idea of what will follow the rest of the semester, see the regular 323 syllabus. You will
have less problems from the book, with more supplementary problems.