Anne Arundel Community College

Linear Algebra 

MAT202, Section 420 – Summer 2015

Class: M-Th @ 19:30-21:30 in Math-200
Professor:
James Freeman     Office: Mathematics-231-I
Hours:
M-Th @ 17:30-19:30
Phone:
(410) 777-2557    Email: jsfreeman@aacc.edu
Website:
http://ola4.aacc.edu/jsfreeman/

Course Description: This is a first course in linear algebra and the study of finite dimensional vector spaces.  The topics include systems of linear equations, vectors, matrices, determinants, linear independence, vector spaces, linear tranformations, inner products, vector products and eigenvalues.  A mathematical software system (Maple) will be introduced as a part of the course.

Learning Objectives Upon successful completion of Math 202, the student will be able to:
1. Solve systems of linear equations using matrix technques;
2. Solve matrix algebra problems;
3. Find bases for and the dimensions of vector spaces;
4. Use dot products and cross products to solve vector problems involving angles, length, direction, distance, areas and volume;
5. Investigate the properties of lineartransforations, including their matrices, eigenvalues and eigenvectors;
6. Prove basic theorems in linear algebra;
7. Apply the techniques of linear algebra to some problems from the physical and social sciences.

Text: "Elementary Linear Algebra" (7th edition) by Ron Larson; Brooks/Cole; 2013.


Computer/Calculator: Some work on a computer using Maple is optional in this course.  Computers are available in both the Mathematics Building and in the Library.  A graphing calculator is recommended for the course - a TI-84+ is recommended and may be used on tests.  Calculators that perform symbol manipulation, such as the TI-89 or TI-92, are permitted for homework use, but may NOT be used during classroom examinations.

 

Attendance Policy: Regular class attendance is expected and will be recorded.  If you are absent, it is your responsibility to find out what occurred with respect to both announcements and course work.  If you email me, I will respond with that information.  I will maintain an online version of the syllabus on my website.  But even one absence means a lost opportunity to learn.

 

Class Activity: Prepare for class by reading the text (either before or after we cover the material).  If you do not understand something, ask questions in class.  Ask questions even if it concerns material from a prior class or chapter, or, a topic not covered in class.  Asking and answering questions is the main purpose of class.  During class we will review the major points in each chapter and solve sample problems.

 

Homework:   Homework will consist of selected problems from the end of each chapter section in the text.  The homework will be collected and graded.  Late homework loses 10% credit.  Your homework problem solutions should be neatly prepared (they need not be typed), with multiple pages either stapled or otherwise bound together. Answers to the homework are in the back of the book, so there is no reason for a wrong answer.  There is also the Student’s Solution Manual, with explanations of the answers.  With the exception of the Maple projects, the homework will not be graded in detail, but will be reviewed for completeness.  You must show your work and not just give the answer.  If you cannot do or do not understand a homework problem, ask about it in class.  Some homework requires Maple and/or Excel.

 

            Homework assignments and attendance will comprise 1% of your grade.

(NOTICE:  You can receive an "A" for the course if you do not do the homework - but it is unlikely.)

 

Examinations: There will be three chapter specific tests and a cumulative final exam.

 

The three tests will comprise 99% of your grade - 33% each.

(There will NOT(???) be a final exam because of summer session.)

 

The tests may not be made up (without prior approval).  If you miss a test, the total possible points that the test was worth will be added to the total possible points that the final is worth.  Thus, if you miss a test, your final exam will be worth a larger proportion of your course grade.  I give generous partial credit when I grade, but you must show your work neatly to earn it.  It is your responsibility to show me what you know in a neat and orderly fashion. 

 

Grading Scale: 90 - 100% A; 80-89% B; 70 - 79% C; 60 - 69% D; below 60% F.

 

Additional Help: Do not hesitate to visit me during my office hours.  If my hours conflict with your free time, I will gladly arrange additional times to meet with you.  I am in my office other times during the week so you can always stop by to see if I am in.

 

Academic Integrity: The Anne Arundel Community College Catalog states, "All students are required to exhibit academic honesty in all academic exercises and assignments." This includes cheating, fabrication, facilitating academic dishonesty, and plagiarism.  The instructor has the right and obligation to impose a reasonable academic sanction including, but not limited to, the following:

 

A) Assign a failing grade for the assignment;

B) Assign a grade reduction for the course;

C) Assign a failing grade for the course;

D) Assign an alternative learning experience.

 

I will choose  A  for most situations involving academic dishonesty.  Do not leave the classroom without permission during a test.  If you do, I will collect your test and grade it based upon what you have already finished.  Do NOT use your cell phone during a test.

 

Student Conduct: The Anne Arundel Community College Catalog states; "All students while engaged in college activities shall comply with all college policies and procedures. Students shall conduct themselves in accordance with accepted standards of behavior, respect the rights of others, refrain from conduct or activity which obstructs the work of the college and is damaging to the welfare of the college community or the college." It continues to describe Acts of Misconduct.

 

Cell Phones: Please put cell phones on vibrator mode during class as a courtesy to others.  If you receive a call, I trust that you will leave the room to talk.  Do NOT use your cell phone during a test.

 

Notice of Nondiscrimination: AACC is an equal opportunity, affirmative action, Title IX, ADA Title 504 compliant institution. Call Disability Support Services, 410-777-2306 or Maryland Relay 711, 72 hours in advance to request most accommodations. Requests for sign language interpreters, alternative format books or assistive technology require 30 days' notice.  For information on Anne Arundel Community College's compliance and complaints concerning discrimination or harassment, call Kelly Koermer, J.D., AACC's federal compliance officer, at 410-777-2607 or Maryland Relay 711.

 

 

Course Schedule (All dates are tentative.)

 

Dates                         Assignments

 

Jun 15                       First Class  

 

Jul 02                         Chapters 1 & 2 & 3 Homework Due

Jul 02                         Examination on Chapters 1 & 2 & 3

 

Jul 23                          Chapters 4 & 5 Homework Due

Jul 23                          Examination on Chapters 4 & 5 

 

Aug 05?                      Chapters 6 & 7 Homework Due

Aug 05?                      Examination on Chapters 6 & 7

Aug 06                        Optional Cumulative Final ?????

 

 

Homework Assignments

 

1. Systems of Linear Equations

1.1:

 

2. Matrices

2.1:

                                                          

3. Determinants

3.1:

 

4. Vector Spaces

4.1: 1 - 25 eoo, 35, 39, 45                              4.2: 1 - 37 eoo, 44, 47

4.3: 1 - 41 eoo                                                4.4: 1 - 45 eoo, 55, 65

4.4: 1 - 45 eoo, 57, 61                                    4.6: 1 - 21 eoo, 25, 35, 39, 43, 49, 61, 71

4.7: 1 - 21 eoo, 37                                          4.8: 7, 17,27 (Optional)

 

5. Inner Product Spaces

5.1: 1 - 65 eoo, 81-85 some?                         5.2: 1- 13 odd, 35, 39, 55, 57, 61, 88-95 some?

5.3: 1 - 41 eoo, 67?                                        5.4: 1 - 21 eoo, 43-46 some?

5.5: 1 - 41 eoo, 53-62 some?

 

6. Linear Transformation

6.1: 1 - 37 eoo, 43, 49, 57, 75                        6.2: 1 - 29 eoo

6.3: 1 - 49 eoo, 55                                          6.4: 1 - 9 odd

6.5: 1 - 13 odd

 

7. Eigenvalues and Eigenvecors

7.1: 1 - 37 eoo, 59                                           7.2: 1 - 33 eoo, 47

7.3: 1 - 29 eoo, 47                                           7.4: 41, 43, 53