Professor John Beachy, Watson 355, 7536753, email: beachy@math.niu.edu
Office Hours: 11:0012:00 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
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 1:003:00
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.
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
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 5.35.5, 6.16.3, 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:
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, GramSchmidt process. Linear transformations, matrices of a linear transformation. Eigenvalues and eigenvectors. Applications. Constructing and writing mathematical proofs. A transition between beginning calculus courses and upperlevel 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 17 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 noncomputational 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:
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.
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, 89:50 PM 07 08 09 10 11
SectionPageProblems 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
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 CauchySchwarz Inequality
Introductory lecture, in pdf format.
Click here for some class notes.