Fall 2004

Text:   Applied Calculus (Third Edition) by Fraleigh and Beauregard

Instructor: M. Kulenovic           Office:  216 Tyler Hall
Phone:  874-4436    Email: 

Online information: or
Office Hours: MW at 1, F at 11, and by arrangement.

Students who require accommodations and who have documentation from Disability Services (874-2098) should make arrangements with me as soon as possible.

Topics: vectors, matrices, linear systems, linear transformations, vector spaces, determinants, eigenvalues, eigenvectors.   There are many applications of linear algebra to problems in many areas of math and science.  We will look at applications in order to motivate the study of linear algebra.

Calculators: The recommended calculator is TI-89 or TI-92. TI-83 and TI-86 could be also used.

Grading: Your grade will be based on three tests, a final exam, and classwork as follows:

Three tests at 100 points each 300 points 
Final exam 150 points
Classwork 150 points
Maple Projects
200 points
Total 800 points

Tests and the final exam:  The tests will be given in the class A comprehensive final exam will be given during the final exam period. Time and place will be announced later. The exams will reflect the variety of the homework problems. The best way to prepare for the exams, and to develop confidence in your ability to solve problems, is to work on the homework problems as suggested. Your class may be slightly behind or ahead at any given time. Some problems may be done in class or as homework, as your instructor chooses. No makeups for exams will be given unless you have a University sanctioned excuse. 

Classwork: The distribution of the 150 points will be decided by your instructor. It will include quizzes and class participation.

Makeups: No makeup quizzes will be given.  Instead, your lowest quiz grade will be dropped.

Homework:  Homework plays a central role in the class and in your understanding of the material. It is fair to say that most of the learning that you achieve during any math course is from your homework. 

Read the textbook: An important part of your mathematical education is acquiring the knack of learning mathematics on your own, from books.  You may not be used to reading mathematics texts, but you will be actively encouraged to read this one. By reading the text before class, even if you don’t understand everything the first time, you will have a better chance of making good use of your time in class.  Reading the text after class is a good way of reinforcing the material in the lecture, nailing down what questions you need to ask in the next class, and learning material that was not gone over during class time.  The text is very well written, with the beginning linear algebra student in mind. Linear algebra is much easier if you keep up with the classes and homework.  You also retain the material longer and better if you review material frequently rather than just studying at exam time. 

Week Sections Suggested Homework Problems Exams/Events

1.2 1,3,5,7,9,11,13,25,27,33,36,40 
9/13 1.3 1-15 (odd) 19-21,27,31,32,45 

1.4 1-15 (odd) 21,23,25,29,41-49
9/20 1.5 1-13 (odd) 16-19,21,23, 24,35


9/27 2.1 7,9,11,12,15,19,21,22,25,27,28

2.2 1,3,4,5,8,11,12 
10/04 2.3 1-5,7,9,10,11,13,14,21,23,25


Exam 1

3.2  3-8
10/18 3.3 5,7,9,11-14 

3.4 5-19  
10/25 4.1 1,3,5-7,10-15,19-21,30,31,33,34,37,38


11/01 4.3 1,3,5,7,9,15,17,19,21,22,25,27,29,33,35


11/08 5.2
1,3-8, 12, 15
Exam 2 

11/15 6.1 1,3,5,7,9,11,13,15,17,19,21


11/22 6.3 5,7,9,11,13,17,19

6.4 1-11

11/29 8.1 1-11(Odds)

Exam 3
12/06 Review

Here is the set of Maple worksheets:

Maple worksheets for Mth 215

Maple worksheet on matrix exponential and systems of differential equations

Handout on matrix exponential and systems of differential equations

Here are some useful links for linear algebra: 

Linear Algebra Toolkit
S. Smith's Math 310 Home page
Math Archives - Linear & Matrix Algebra
STAT/MATH Center - Linear Algebra with Maple
Open Directory Project - Linear Algebra
Notes on Linear Algebra
Practice Linear Transformations