Math 350
General Information for Section 03
Professor: A. Shadi Tahvildar-Zadeh
Office: 436, Hill Center
Office Phone: 732-445-2390 x.1319
email: shadi@math.rutgers.edu
Class Meeting: MW: 7:40-9:00, SC-205, CAC
Office hours: Tuesday 10:00- 12:00, or by arrangement, in my office.
Final Exam: TBA
Text: Linear Algebra. Spence, Insel, & Friedberg, Prentice-Hall. (ISBN #
0-13-008451-4)
Section Web page: http://www.math.rutgers.edu/~shadi/350/
General Web page: http://www.math.rutgers/edu/courses/350/
Text Webpage: http://cwx.prenhall.com/bookbind/pubbooks/spence/
Special Announcements About the class
3-2-09: Class is canceled due to bad weather. The exam on Wednesday is postponed to Monday March 9. We'll go over the homework on Wednesday.
2-11-09: While I was driving home after tonight's lecture, I was able to come up with a different proof for the homework problem we discussed in class that was shorter than the one we came up with in class since it does not involve a reduction argument. If you are curious to know what it is click here
Also remember that we have a quiz on Monday on 1.6-2.1. The next homework set is also posted.
Course Catalogue Description. 01:640:350 LINEAR ALGEBRA (01).
Continuation of 01:640:250. Abstract vector spaces and linear transformations,
inner product spaces, diagonalization, and canonical forms. Possible additional
topics: systems of ordinary differential equations and numerical techniques.
Prerequisites: CALC4, 01:640:250, and 300, or permission of department.
Exams: There will be two mid-term exams and a cumulative final. The final will count 200 points. Each midterm will count 100. They will be closed book exams and student-prepared formula sheets will not be permitted. Missing one exam will result in immediate failure for the class.
Quizzes and Homework: Homework problems are assigned for each section and will be collected and graded. There will be several quizzes consisting of two or three problems similar to the homework problems. The quizzes and homeworks together will count 100 points toward the term grade.
Make-up exams/quizzes policy: There will be no make-up quizzes or exams, except in case of documented emergency.
MATH 350: Linear Algebra: Topics of Individual Lectures.
This is a tentative syllabus. The actual topics covered in class may change a little.
Please note that the official day of the midterms will be announced in class.
Lecture Reading Topics
1 1.1, 1.2, 1.3 Vector Spaces, Subspaces
2 1.3, 1.4 Systems of Linear Equations, Linear Dep/Indep
3H 1.5, 1.6 Bases, Dimension
4Q 1.6 Bases (cont.)
5H 2.1 Linear Transformations
6Q 2.2 Matrix Representations
7H 2.3 Matrix Algebra
8Q 2.4 Invertibility and Isomorphisms
9H 2.5 Change of Coordinates
10Q
11H
12 CLASS CANCELED
13H Review for midterm
14 Midterm Exam # 1 on Chapters 1-2
15 3.1, 3.2 Elementary Matrices and Rank of a Matrix
16Q 3.3 Systems of Linear Equations (I)
17H 3.4 Systems of Linear Equations (II)
18Q 4.1, 4.2, 4.3 Multilinear Algebra, Determinants, Properties of Determinants
19H 5.1, 5.2 Eigenvalues and Eigenvectors, Diagonalization of a Matrix
20Q 5.4 Invariant Subspaces
21
22H
23Q
24 Midterm Exam #2
25 7.1 Jordan Canonical Form (I)
26 7.2 Jordan Canonical Form (II)
27 H
28HQ
Final Exam : Wednesday May 13th, 8-11 pm, SC-205, CAC
Homework assignments
Homework #1 due 1/28: Section 1.2: 1,14,15,17,18; Section 1.3: 1,8,13,19,31;
Homework #2 due 2/4: Section 1.4: 1,3b,4d,5h,15; Section 1.5: 1,2d,3,8,17;
Homework #3 due 2/11: Section 1.6: 1,4,17,24,29a; Section 2.1: 1,5,10,13,21;
Homework #4 due 2/18: Section 1.3: 29,30; Section 1.4: 12,14; Section 1.5: 18,20; Section 1.6: 32,33,34,35
Homework #5 due 2/25: Section 2.2: 1, 5b, 13, 14, 16; Section 2.3: 1, 3, 12, 15, 16
Homework #6 due 3/4: Section 2.4) 1, 3, 9, 20, 23; Section 2.5) 1, 3f, 6d, 9, 13
Homework #7: due 3/25: Section 3.1) 1,2,3,8,9; Section 3.2) 1, 6f, 14,18,20
Homework #8: due 4/1: Section 3.3) 1,8; Section 3.4) 1,6,9; Section 4.2) 1,4; Section 4.3) 1,21,22,28
Homework #9: due 4/13: Section 5.1) 1, 3, 17,18,21; Section 5.2) 1, 7, 13, 15, 18
Homework #10: due 4/27: Section 5.4) 1, 23, 24, 25, 41; Section 7.1) 1, 2(d), 4, 7(e), 10
Homework #11: due 5/4: Sec. 2.1) 40; Sec. 2.2) 15; Sec. 2.4) 24, 25; Section 2.5) 14; Sec. 5.4) 26, 27, 28, 32, 42.