Department of Mathematical Sciences, Northern Illinois University

## MATH 240, Spring 2006

#### SECTION 1, 10:00-10:50, M W R F, DU 348

Chapter Summaries from the textbook by Kolman (8 pages, Acrobat reader format)

Professor John Beachy, Watson 355, 753-6753, email: beachy@math.niu.edu

Office Hours: 11:00-11:50 M W R (in Watson 355), or by appointment

My faculty homepage   |   My personal homepage   |   Math 240 Homepage (all sections)

Class notes   |   Handouts   |   Solutions

## ASSIGNMENTS

```
DATE               ASSIGNMENT

Friday, 4/21         EXAM 3, covering 5.1 - 5.3, 5.5, 6.1 - 6.5

Friday, 4/14         QUIZ 9: Sections 5.5, 6.1, 6.2

Friday, 4/7          QUIZ 8: Sections 5.1 - 5.3
HMWK 4: 5.3 #8, 10

Friday, 2/3          QUIZ 3: Sections 2.1, 2.2

Friday, 1/27         QUIZ 2: Sections 1.3 - 1.6
HMWK 2: 1.3 p31 #41 c
1.4 p38 #32, 34
1.5 p47 #15, 17

Friday, 1/20         QUIZ 1: Sections 1.1 - 1.2
HMWK 1: 1.1  p8 #2, 14, 20
1.2 p19 #10, 11, 15

```

## SYLLABUS

COURSE: LINEAR ALGEBRA AND APPLICATIONS (4) Matrix algebra and solutions of systems of linear equations, matrix inversion, determinants. Vector spaces, linear dependence, basis and dimension, subspaces. Inner products, Gram-Schmidt process. Linear transformations, matrices of a linear transformation. Eigenvalues and eigenvectors. Applications. Constructing and writing mathematical proofs. A transition between beginning calculus courses and upper-level mathematics courses.

PREREQUISITE: Math 232.

TEXT: Elementary Linear Algebra, 8th Edition (2004), by Kolman and Hill

300 points for three hour exams worth 100 points each
100 points for quizzes and homework
200 points for the departmental final exam

The last day for undergraduates to withdraw from a full-session course is Friday, March 10.

HOUR TESTS: If you cannot take a test at the scheduled time, you must contact me before the time of the test.

HOMEWORK: You should work all of the recommended homework problems. These will be important in class discussions. I will collect and grade some of the problems, on specific homework assignments.

QUIZZES: You should be prepared for a quiz each Friday. The quizzes will be designed to test that you are doing all of the recommended homework problems. I also reserve the right to give unannounced quizzes in any class period.

FINAL EXAMINATION: The departmental final exam (listed under mass exams in the schedule of classes) will be given on Thursday, May 11, 2006, from 8:00 to 9:50 A.M.

GENERAL ADVICE: The WEB site Understanding Mathematics: a study guide has a good discussion about learning mathematics. There are additional WEB resources listed here.

## SCHEDULE OF LECTURES

TENTATIVE SCHEDULE:

```Monday    Wednesday    Thursday     Friday           M Tu  W Th  F

Holiday      1.1         1.2         1.3        JAN 16 17 18 19 20

1.4         1.5         1.6         2.1            23 24 25 26 27

2.1         2.2         2.2         3.2            30 31  1  2  3

3.2         3.3         3.3        Review      FEB  6  7  8  9 10

EXAM I       3.4         3.4         3.5            13 14 15 16 17

3.5         3.6         3.6         3.7            20 21 22 23 24

3.7         3.8         3.8         4.1            27 28  1  2  3

4.3         4.3         4.4         3.4        MAR  6  7  8  9 10

SPRING BREAK                    13 14 15 16 17

4.5         4.5        Review      EXAM II         20 21 22 23 24

5.1         5.1         5.2         5.2            27 28 29 30 31

5.3         5.3         5.4         5.5        APR  3  4  5  6  7

5.5         6.1         6.2         6.3            10 11 12 13 14

6.4         6.4         6.5        EXAM III        17 18 19 20 21

7.1         7.1         7.2         7.2            24 25 26 27 28

7.4         7.4        Review      Reading     MAY  1  2  3  4  5
Day
FINAL EXAM Thursday, 8-9:50 AM                    8  9 10 11 12
```

## HANDOUTS

Handouts (in html format):

Properties of the Real Numbers   |   Definition of a Vector Space   |   Another Proof of the Cauchy-Schwarz Inequality

## SOLUTIONS

These are in pdf format: Solutions to Sample Exam 3

## CLASS NOTES

Introductory lecture, in pdf format.