Department of Mathematical Sciences, Northern Illinois University

MATH 240, Fall 2007

SECTION 1, 8:00-8:50, M W R F, DU 310


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

Office Hours: 9:00-10:00 M W F (in Watson 355), or by appointment

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

Assignments   |   List of suggested homework problems   |   Syllabus   |   Lecture Schedule

Class notes   |   Handouts   |   Solutions



FINAL EXAM

The departmental final exam (listed under mass exams in the schedule of classes) will be given on
Wednesday, December 12, from 8:00 to 9:50 PM The exam is scheduled for DU 302, which is just down the hall from our room.

Previous final exams (in Acrobat Reader format):   Fall 99 with Solutions   |   Fall 00   |   Spring 06

Final exams from Fall 2004 and Fall 2002 are posted on the departmental web site. There are also some old final exams on reserve in the library.

The Review Session is scheduled for today, Tuesday, from 4:00-6:00 in DU 310.
The weather being what it is, it seemed better to schedule the review session in the afternoon than at night. If you can't make it at 4:00, come when you can. I'll have office hours from 6:00 to 7:00 so that you can ask questions individually (or in groups).

During exam week I do not have regularly scheduled office hours, but I will be in my office, and you are welcome to stop in any time. It is probably safest to email me to set up a time.



REVIEW

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

Sample Exam 1 from Fall 2002     Solutions   |   Exam 1 solutions
Sample questions for Exam 2   |   Exam 2 solutions
Sample questions for Exam 3     Solutions   |   Exam 3 solutions are in the Study guide on reserve in the library



ASSIGNMENTS


  DATE               ASSIGNMENT

Thursday, 1/6        HMWK Hand in 7.2 #10; 7.3 #20

Friday, 11/20        EXAM 3 covering 5.3-5.5, 6.1-6.3, 6.5
                     (POSTPONED FROM THE SCHEDULED TIME ON WEDNESDAY)

Friday, 11/16        QUIZ 10 on 6.1, 6.2

Friday, 11/9         QUIZ 9 on 5.4, 5.5

Friday, 11/2         QUIZ 8 on 5.1, 5.3

Friday, 10/26        EXAM 2 covering Chapter 3 and Chapter 4

Friday, 10/19        QUIZ 7 covering 3.1, 3.2
                     HMWK 3 (20 points)  4.8 p267 #13,15  3.2 p 155 #7a, 15

Friday, 10/12        QUIZ 6 covering 4.8, 4.9

Friday, 10/5         QUIZ 5 covering 4.6, 4.7

Friday, 9/28         QUIZ 4: Takehome quiz due Monday

Friday, 9/21         EXAM 1 covering through Section 4.3

Friday, 9/14         QUIZ 3: Sections 2.1 - 2.3
                     HMWK 2: 2.2 #2,8,14  2.3 #11b,13

Friday, 9/7          QUIZ 2: Sections 1.3 - 1.5

Friday, 8/31         QUIZ 1: Sections 1.1 - 1.2
                     HMWK 1: 1.1  p8 #2, 14, 22    
                             1.2 p19 #12, 13, 19


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, 9th Edition (2007), by Kolman and Hill

GRADING: Semester grades will be based on 600 points:

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, October 19.

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 Wednesday evening, December 12, 2007, from 8:00 to 9:50 P.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

 1.1         1.2         1.3         1.4        AUG 27 28 29 30 31

HOLIDAY      1.5         2.1         2.2        SEP 03 04 05 06 07

 2.3         2.3         4.2         4.2            10 11 12 13 14

 4.3         4.3        Review      EXAM I          17 18 19 20 21

 4.4         4.4         4.5         4.5            24 25 26 27 28

 4.6         4.6         4.6         4.7        OCT 01 02 03 04 05

 4.8         4.8         4.9         4.9            08 09 10 11 12

 3.1         3.2         3.3         3.4            15 16 17 18 19

 3.5        Review       5.1        EXAM II         22 23 24 25 26

 5.3         5.3         5.4         5.4            29 30 31 01 02

 5.5         5.5         6.1         6.1        NOV 05 06 07 08 09

 6.2         6.2         6.3         6.3            12 13 14 15 16

 6.5              THANKSGIVING                      19 20 21 22 23

 6.5        EXAM III     7.1         7.1            26 27 28 29 30

 7.2         7.2         7.3         7.3        DEC 03 04 05 06 07

         FINAL EXAM Wednesday evening, 8-9:50 PM    10 11 12 13 14


SUGGESTED HOMEWORK PROBLEMS


HANDOUTS

Handouts (in html format):

Course information   |   Lecture schedule (my section)   |   Syllabus (all sections)   |   List of suggested homework problems

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.

Click here for some class notes.


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