Math 310, Fall 2007
1:00-1:50 MWF AH310
Department of Mathematics, Statistics, and Computer Science
This page is http://www.math.uic.edu/~srinivas/math320/htm
Revised August 21, 2007 by BS
e-mail: srinivas@uic.edu
Office Hours: MWF 10-11 in 526 SEO, or by appointment
questions on Math 310: Peter Manolov, Tuesday and Thursday 11-12
Math 310: Linear Algebra I
Prerequisite: Concurrent registration in MATH 215.
Text: Steven Leon: Linear Algebra with Applications, 7th edition,
Prentice Hall
Chapters 3 and 4 are the heart of the course and are important.
Catalog Description: 310 Applied Linear Algebra
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CATALOGUE DESCRIPTION: Matrices, Gaussian elimination, vector spaces, LU-decomposition, orthogonality, Gram-Schmidt process, determinants, inner products, eigenvalue problems, applications to differential equations and Markov processes. Credit is not given in both Mathematics 310 and 320. |
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TEXT: Steven J. Leon, Linear Algebra with Applications (7th edition), Prentice-Hall, 2005. |
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The web page for the course is //www.math.uic.edu/~math310 |
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Chapter 1: Matrices and systems of equations, 1.1-1.4, 1.5 if time
permits
Chapter 2: Determinants, 2.1-2.3
Chapter 3: Vector Spaces, 3.1 – 3.6
Chapter 4: Linear Transformations, 4.1-4.3
Chapter 5: Orthogonality, 5.1-5.6
Chapter 6: Eigenvalues: 6.1-6.4, 6.6-6.8 (as time
permits)
Week 1: 1.1 and 1.2
Week 2: 1.3, Week 3: 1.4
Grading Policy:
Homework will be collected every week on
Fridays. There will be two midterm exams and a final exam. The final
grade will be based on the following:
Homework: 20%
Hour exams: 40% (20% each)
Final: 40%
Although you are encouraged to work with your fellow students, the
assignments you hand in must be your own work. You are
expected to attend classes regularly.
Frequent absences will be noted.
Homework Solutions will be posted on the web through the ERes system of the Main Library.
They can be accessed as follows: http://uic.docutek.com/eres/, password: applied
Here is a link to a web page with some useful definitions: Glossary
Homework:
Practice Problems (Not to be handed in): 1.1: 1-8; 1.2: 1.2: 2, 3, 5, 6; 1.3:
1.3: 1, 6, 7, 8, 10, 11, 17, 18, 20, 26;
Homework 1 (Due Friday August 31): 1.1: 6(d), 6(f), 8; 1.2: 5(g), 5(j), 6(b)
Homework 2 (Due Friday September 7): 1.2: 13; 1.3: 12, 13, 14(c)
Homework 3 (Due Friday September 14): 1.3: 30; 1.4: 10(h), 16
Homework 4 (Due Friday 9/21): 1.4: 8(c), 9; 2.1: 3(g), 5
Practice: 1.4: 6-11; 2.2: 3,4,7,9
Homework 5 (Due Friday 9/28): 2.2: 3(f), 4, 6; 2.3: 2(d)
Homework 6 (Due Friday 10/5): 3.2: 1 (c), (e); 2 (b), (d); 3 (c), (g); 5 (b)
Homework 7 (Due Friday 10/12): 3.2: 4(d), 10(c), 11, 14(c); 3.3: 2(a) (c), 6(d)
In 3.2 4(d) express N(A) as a span of some vectors.
Exam I will be on Friday October 19
Homework 8 (Due 10/17): 3.4: 6(do 2c), 11, 12 (do 3.2, 3e), 14c
Homework 9 (Due 10/26): Corrections to exam, 3.5: 5,9,10
Homework 10 (Due 11/2): 4.1: 5ac, 7b, 9c, 17b; 4.2: 3c, 4a, 5d
Homework 11 (Due 11/9): 4.3, #4; 5.2: 1(d), 4, 6
Homework 12 (Due 11/16): 5.4, #8; 5.5, #4; 5.6, #5ab, #8
Homework 13 (Due 11/21): 5.6 #5©, 5.3 #5, extra problem given in class
Homework 14 (Due 11/28): 6.2, 2(d), 6.3 2, 11(f) , Sample Exam
Midterm II on Friday November 30, covering Chapters 4, 5, 6:
Ch 4, pp. 175-189, p.199-204 and product of two transformations as given in class;
Ch 5, p.210-216, p.225-228, p.231-232, p.235-238, p.245-252, p.255-259, p.261-263,
p.274-279; Ch 6: p.299-304, p.313-315, p.325-331
Final exam on Monday 12/10, 1-3 in BH 316 (note the change of
room). The exam will cover the material covered in Exams I and II
as well as 6.4, p.350. Apply the Gram-Schmidt process as we did in class.
Please address questions or comments about the course to: srinivas@uic.edu
