MATH 2318 (MTH 2053)

Linear Algebra

1999-2000

 

Text: Linear Algebra, 3rd edition, by Fraleigh & Beauregard, Addison-Wesley, 1995

Students Solution Guide

Instructor's Solutions Manual (for instructor use only)

MATH 2318 is intended to serve several purposes: (a) introduce students to the fundamental concepts of linear algebra, (b) demonstrate applications of these concepts, and (c) allow students to become more familiar with the nature of definition and proof in mathematics. Linear Algebra is also feeling the effects of graphing calculators and computer packages. We encourage the use of calculators or computers in order to perform routine computations in order to give students more time on abstract concepts. Those who enroll in this course are majoring primarily in mathematics, engineering, physics, or computer science, planning to transfer theses credits to UT (as M311) or to another four-year institution.

Prerequisites: The usual prerequisite for linear algebra is completion of the calculus sequence, MATH 2415 (Calculus III). Occasionally students who have demonstrated "mathematical maturity" may enroll with a less formal mathematics background after obtaining the consent of a mathematics department advisor. Such students should be familiar with vector notation and dot product. Also, it is not uncommon for students to be simultaneously enrolled in Linear Algebra and Calculus III.

Syllabus: The course covers chapters 1-7 of the text and appendix A-1 (induction). A suggested course outline is as follows:

 

16-Week Semester

6-Week Semester

Week

Sections

Sections

1

1.1, 1.2, 1.3

1.1-1.6

2

1.4, 1.5

1.7, 2.1, 2.2, 2.3, 2.4*

3

1.6, 1.7, 1.8*

3.1-3.5

4

Test #1 (Chap. 1), 2.1

Induction, 4.2, 4.3, 5.1

5

2.2, 2.3, 2.4*

5.2, 5.3*, 6.1, 6.2 (6.3, 6.4, 6.5**)

6

3.1, 3.2

7.1, 7.2, Summary, Exam

7

3.3, 3.4

 

8

3.5, Test #2 (Chap. 2 &3)

 

9

Induction, 4.2

 

10

4.3, 5.1

 

11

5.2, 5.3*

 

12

Test #3 (Chap. 4 & 5), 6.1

 

13

6.2, 6.3**

 

14

6.4**, 6.5**

 

15

7.1, 7.2

 

16

Review, Test #4 (Chap. 6 & 7)

 

 

The sections marked with a "*" are optional.

Last updated August 1, 1999. Comments, questions, suggestions?