Department of Mathematical Sciences, Northern Illinois University

MATH 240, Fall 2009

SEC 3, 1:00-1:50, M T W F, DU 318


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

Office Hours: 11:00-12:00 M W F (in Watson 355), or by appointment

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

To print:     Course information   (for my section)   |   My   Lecture shedule   |   My list of suggested   Homework problems

On this page:     Assignments   |   Lecture Schedule   |   Suggested homework   |   Syllabus   |   Solutions   |   Class notes   |   Handouts



FINAL EXAM

The departmental final exam (listed under mass exams in the schedule of classes) will be given on
Wednesday, December 9, from 8:00 to 9:50 PM. The exam for our section is scheduled for DU 418.

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

The Review Session is scheduled for Tuesday, Dec 8, from 1:00-3:00 in DU 300.
I plan to essentially do two review sessions, back to back, starting at 1:00 and then again at 2:00, to accommodate different exam schedules.

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   |   Sample Exam 1 from Fall 2007     Fall 2007 Exam 1 Solutions   |   Fall 2009 Exam 1 solutions
Sample questions for Exam 2   |   Fall 2007 Exam 2 solutions   |   Fall 2009 Exam 2 solutions
Sample questions for Exam 3     Solutions to the sample questions   |   Fall 2007 Exam 3



ASSIGNMENTS


  DATE               ASSIGNMENT

Wednesday, 12/9      FINAL EXAM in DU 418 at 8:00 PM 
                           (note the new room and evening time)

Friday, 12/4         QUIZ 11 on 7.1, 7.2
                     HMWK 3  7.1 #8; 7.2 #10 (b); 7.3 #15, 20
                     REVIEW PROBLEMS (OPTIONAL)

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

Friday, 11/14        QUIZ 10 on 6.1, 6.2

Friday, 11/2         QUIZ 9 on 5.4, 5.5

Friday, 10/30        QUIZ 8: Sections 5.1, 5.3

Friday, 10/23        EXAM 2  covering Chapter 3 and Chapter 4

Friday, 10/19        QUIZ 7: Sections 4.9, 3.1, 3.2

Friday, 10/9         QUIZ 6: Sections 4.7, 4.8

Friday, 10/2         QUIZ 5: Sections 4.5, 4.6

Friday, 9/25         QUIZ 4: Section 4.4

Friday, 9/18         EXAM 1  covering through Section 4.3

Friday, 9/11         QUIZ 3: Sections 2.2, 2.3

Friday, 9/4          QUIZ 2: Sections 1.3 - 1.5, 2.1
                     HMWK 2: 1.4  p40 #8
                             1.5  p52 #21, 22
                             2.1  p94 #4
                             2.2 p113 #5, 14 

Friday, 8/28         QUIZ 1: Sections 1.1 - 1.2
                     HMWK 1: 1.1  p8 #2, 14, 22    
                             1.2 p19 #12, 13, 19

Quiz solutions:  


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, Calculus III.

TEXT: Elementary Linear Algebra, 9th Edition (2007), by Kolman and Hill

SYLLABUS: The course will cover most of Chapters 1-7 of the text.

COURSE OBJECTIVES: Students will develop computational skills in working with linear transformations and the matrices used to represent them. However, more of the course will focus on non-computational issues such as reasoning and constructing proofs. This course is intended as a transition between the beginning calculus courses and upper level courses in mathematics.

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
If you cannot take a test at the scheduled time, you must contact me before the time of the test.
The last day for undergraduates to withdraw from a full-session course is Friday, October 16.

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 9, 2009, from 8:00 to 9:50 P.M.

CALCULATORS: This course is not focused on numberical computation. Students may wish to use calculators or computers as a study aid, but no electronic dvices of any kind will be allowed on exams. See this page for some examples that illustrate the difficulties in doing numerical calculations. A calculator can give you a completely wrong answer.

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

ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly.

CAAR STATEMENT: If you have specific physical, psychiatric, or learning disabilities and require accomodations, please let me know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the Center for Access Ability Resources located in the Health Services Building, 4th floor.


SCHEDULE OF LECTURES

TENTATIVE SCHEDULE:

Monday     Tuesday    Wednesday     Friday           M Tu  W Th  F

 1.1         1.2         1.3         1.4        AUG 24 25 26 27 28

 1.5         2.1         2.2         2.3        SEP 31 01 02 03 04

HOLIDAY      2.3         4.2         4.2            07 08 09 10 11

 4.3         4.3        Review      EXAM I          14 15 16 17 18

 4.4         4.4         4.5         4.5            21 22 23 24 25

 4.6         4.6         4.6         4.7            28 29 30 01 02

 4.8         4.8         4.9         4.9        OCT 05 06 07 08 09

 3.1         3.2         3.3         3.4            12 13 14 15 16

 3.5        Review       5.1       EXAM II          19 20 21 22 23

 5.3         5.3         5.4         5.4            26 27 28 29 30

 5.5         5.5         6.1         6.1        NOV 02 03 04 05 06

 6.2         6.2         6.3         6.3            09 10 11 12 13

 6.5         6.5        EXAM III     7.1            16 17 18 19 20

 7.1         7.2      THANKSGIVING HOLIDAY          23 24 25 26 27

 7.2         7.3         7.3         8.1        DEC 30 01 02 03 04

FINAL EXAM: Wednesday evening, 12/9, 8-9:50 PM      07 08 09 10 11


SUGGESTED HOMEWORK PROBLEMS

Section|Page|Problems

1.1      8   2 5 10 15 19 22 23 34
1.2     19   5 8 9 11 12 13 15 17 19
1.3     30   5 7 11 14 20 23 24 27 28 29 31 33 36 43 44 45 46
1.4     40   8 9 10 11 12 22 23 25 32 34 36
1.5     52   3 5 9 11 16 17 19 21 22 24 27 31 32 33 35 36 40 51 54

2.1     94   1 3 5  7 11 13
2.2    113   1 5 7  9 11 13 14 21 23 27 29 31 
2.3    124   2 3  7 8 11 13 15 17 19 24 25 29

4.1    187   7 11 15 17 19
4.2    196   1 2 3 4 6 8 9 11 13 15 17 19 20 23 25
4.3    205   1 2 3 4 5 7 9 11 13 15 17 19 23 24 30 33 34 
4.4    215   1 3 4 5 7 8 9 11 12 13
4.5    226   1 2 3 4 9 10 11 13 16 18 20 23 24 27 28
4.6    242   2 4 7 10 11 13 16 17 19 21 23 26 28 29 35 41 42 44 47
4.7    251   1 4 6 13 16 17 20
4.8    267   1 2 6 7 9 10 12 15 16 17 23 24 29 37 38
4.9    282   1 2 5 7 9 13 18 28 31 32 35 41 45

3.1    145   2 3 5 8 9 12 13
3.2    154   1 3 4 5 6 7 9 10 13 14 15 17 22 23 24 34 
3.3    164   1 5 10 11
3.4    169   1 2 3 4 9 
3.5    172   1 5

5.1    297   3 5 7 16 18 27
5.3    317   6 7 10 11 15 16 17 19 20 23 30 31 34 35 40 41 44 
5.4    329   2 8 10 15 20 21 23 28 31 32 33
5.5    348   1 2 4 5 7 8 9 15 18 19 22 23 25 26 27

6.1    372   2 3 4 5 6 8 9 11 12 13 14 16 18 20 26 31 32 34
6.2    387   1 3 6 7 8 10 15 20 22 25
6.3    397   1 5 8 9 10 13 19 20
6.5    413   3 5 6 7 8 12 17

7.1    450   2 4 6 11 12 17 21 22 23 24 25
7.2    461   1 2 4 6 8 11 12 18 19 22 25
7.3    475   1 3 8 9 10 11 14 15 17 19 20 21


HANDOUTS

Handouts (in html format):

Course information   |   List of suggested homework problems

Proerties of the Real Numbers (pdf) (html)   |   Definition of a Vector Space (pdf) (html)   |   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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