Professor John Beachy, Watson 355, 7536753, email: beachy@math.niu.edu
Office Hours: 10:0010:50 M W F (in Watson 355), or by appointment
My personal homepage  My faculty homepage  Math 240 Homepage (for all sections)
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Lecture Schedule  Suggested homework  Syllabus  Solutions  Class notes  Handouts
To print: Course information (for my section)  My Lecture schedule  My list of suggested Homework problems
The departmental final exam
(listed under mass exams in the schedule of classes)
will be given on
Thursday, May 6,
from 8:00 to 9:50 AM.
The exam for our section is scheduled for DU 406.
Previous final exams (in Acrobat Reader format): Fall 09 with Solutions  Fall 99 with Solutions  Fall 00  Spring 06
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 Thursday, 5/6 FINAL EXAM in DU 406 at 8:00 AM (note the new room) Wednesday, 4/28 HMWK 4 7.1 # 8, 7.2 #10 HMWK 5 7.3 #15, 20 (optional) Friday, 4/16 EXAM 3 covering 5.35.5, 6.16.3, 6.5 Friday, 4,9 QUIZ 10 Friday, 4/2 QUIZ 9 Friday, 3/26 QUIZ 8 Friday, 3,19 EXAM 2 Friday, 3/05 QUIZ 7: Sections 4.9, 3.1, 3.2 This is a takehome quiz available here. Friday, 2/26 QUIZ 6: Sections 4.7, 4.8 Friday, 2/19 QUIZ 5: Sections 4.5, 4.6 Friday, 2/12 QUIZ 4: Section 4.4 Friday, 2/05 EXAM 1 covering through Section 4.3 Tuesday, 2/2 HMWK 3: 4.2 #9, 11 Friday, 1/29 QUIZ 3: Sections 2.12.3 HMWK 2: 2.2 p113 #14, 27 2.3 p125 #13, 24 Friday, 1/22 QUIZ 2: Sections 1.3  1.5 Friday, 1/15 QUIZ 1: Sections 1.1  1.2 HMWK 1: 1.1 p8 #2, 14, 22 1.2 p19 #12, 13, 19
Quiz solutions: Quiz 7
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 (2008), 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 Thursday morning, May 6, 2010, from 8:00 to 9:50 A.M.
The exam will be given in DU 406.
CALCULATORS: This course is not focused on numerical computation. Students may wish to use calculators or computers as a study aid, but no electronic devices 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 accommodations, 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 JAN 11 12 13 14 15 HOLIDAY 1.5 2.1 2.2 18 19 20 21 22 2.3 2.3 4.2 4.2 25 26 27 28 29 4.3 4.3 Review EXAM I FEB 1 2 3 4 5 4.4 4.4 4.5 4.5 8 9 10 11 12 4.6 4.6 4.6 4.7 15 16 17 18 19 4.8 4.8 4.9 4.9 22 23 24 25 26 3.1 3.2 3.3 3.4 MAR 1 2 3 4 5 SPRING BREAK 8 9 10 11 12 3.5 Review 5.1 EXAM II 15 16 17 18 19 5.3 5.3 5.4 5.4 22 23 24 25 26 5.5 5.5 6.1 6.1 29 30 31 1 2 6.2 6.2 6.3 6.3 APR 5 6 7 8 9 6.3 6.5 6.5 EXAM III 12 13 14 15 16 7.1 7.1 7.2 7.2 19 20 21 22 23 7.3 7.3 Review READING DAY 26 27 28 29 30 FINAL EXAM: Thursday morning 5/6, 89:50 AM MAY 3 4 5 6 7
SectionPageProblems 1.1 8 2 3 5 10 11 14 15 19 22 23 34 1.2 19 5 7 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 3 5 8 9 10 11 12 22 23 25 32 34 36 1.5 52 3 5 9 11 15 16 17 19 20 21 22 23 24 26 27 31 32 33 35 36 40 51 52 54 2.1 94 1 3 5 7 11 13 2.2 113 1 5 7 9 11 13 14 15 17 18 21 23 27 29 30 31 2.3 124 2 3 5 7 8 9 11 13 15 2.3 124 17 19 21 24 25 29 4.1 187 5 7 11 15 17 19 4.2 196 1 2 3 4 6 8 9 11 4.2 196 13 15 17 19 20 23 25 4.3 205 1 2 3 4 5 7 9 11 13 15 17 19 4.3 205 19 23 24 29 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 8 9 10 11 13 15 16 17 18 19 21 23 24 26 28 29 31 32 35 41 42 44 47 4.7 251 1 4 6 9 13 16 17 20 4.8 267 1 2 6 7 9 10 12 15 16 17 23 24 26 29 35 37 38 4.9 282 1 2 5 7 9 13 18 28 31 32 34 35 41 45 3.1 145 2 3 5 8 9 12 13 3.2 154 1 3 4 5 6 7 9 10 11 13 14 15 17 19 22 23 24 30 31 32 34 3.3 164 1 5 10 11 12 17 19 3.4 169 1 2 3 4 7 9 14 3.5 172 1 3 5 7 5.1 297 3 5 7 12 16 17 18 22 27 34 5.3 317 6 7 10 11 15 16 17 19 20 21 23 30 31 34 35 40 41 43 5.4 329 1 2 5 8 10 11 15 20 21 23 24 28 31 32 33 5.5 348 1 2 4 5 7 8 9 11 15 18 19 25 26 28 29 6.1 372 2 3 4 5 6 8 9 11 12 13 14 16 17 20 24 25 26 31 32 34 6.2 387 1 3 6 7 8 10 12 13 15 16 18 20 21 25 26 28 6.3 397 1 3 4 5 7 8 9 10 13 19 20 21 6.5 413 1 3 4 5 6 7 8 11 13 14 15 17 7.1 450 1 2 4 7 9 11 12 15 17 21 22 23 24 25 32 7.2 461 1 2 4 7 9 11 12 15 17 18 19 22 25 26 28 7.3 475 1 2 3 4 8 9 10 11 14 15 16 19 20 21 27
Course information  List of suggested homework problems
Properties 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.