MAT 203

Linear Algebra

Winter 2009

 

Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu

 

Office Hours: Room A210,   Mon.                10:00 – 11:00 AM

            Mon.                1:00 – 1:30 PM

            Wed.               1:00 – 1:30 PM

Thurs.              12:00 – 1:00 PM

MSC,               Wed. & Fri.      10:00 – 11:00 AM

And as always, by appointment.

 

Class Time and Location:    Mon, Wed, Fri.  11:20 AM – 12:50 PM, A250

 

Textbook: Introductory Linear Algebra: An Applied First Course, 8th Edition, by Kolman & Hill.

 

Calculator: A graphing calculator is required for this class.  I will be demonstrating with the TI-89.

 

Course Description: This course covers linear equations, matrices, determinants, vector spaces, inner product spaces, linear transformations, Eigenvalues and Eigenvectors and their applications to engineering and mathematics.

 

Prerequisite: A grade of C or better in MAT 107 or equivalent.

 

Student Learning Outcomes:

1. Apply the theory and techniques of linear algebra in applications from physics, operations research and other scientific disciplines.
2. Solve linear systems, including under- and over-determined systems.
3. Prove lemmas and corollaries in linear algebra.
4. Relate linear transformations to their matrices with respect to given bases.
5. Describe linear transformations as functions mapping an n-dimensional space to an m-dimensional space.

 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

Homework:                              200 points

Exam1 (February 4):               250 points

Exam2 (March 4):                   250 points

Final Exam (March 23):          300 points

 

You may check your grades at any point in the quarter by going to the following website and looking up your secret number:

 

http://www.gradesource.com/reports/1027/15199/index.html

 

 


 

Homework: Homework will be due by 3pm the class day after it is assigned.  Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit.  

 

Exams:  Students are to bring a pencil and blank scratch paper to each exam.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.

 

Registration Information: You must register for this class at the Office of Admissions and Records.  You may drop the class with no penalty or mark on your record on or before January 30.  After January 30, you may drop the class and receive a grade of W until February 20.  After February 20, if you are still enrolled, you will receive a grade of A, B, C, D, F or I.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the MSC.

V) Do math every day.  Math is just like everything else: if you don’t practice, you become rusty.

 

Technology in the Classroom:  All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class.  No electronic devices (other than calculators) may be used during quizzes and exams.

 

Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible.  Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.  Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 


 

Class Schedule:

The following is a tentative schedule.  If things change (and I have money that says they will), I will let you know.

 

January

5          1.1,1.2             Linear Systems and Matrices

7          1.3,1.4             Dot Product and Matrix Operations

9          1.5                   Matrix Transformations

12        1.6,1.7             Solving Systems, Inverse of a Matrix

14        2.1,2.2             Coding and Graph Theory

16        3.1                   Determinants

19        NO CLASS     Martin Luther King Day

21        3.2                   Cofactor Expansion

23        4.1,4.2             Vectors in Rn

26        4.3                   Linear Transformations

28        5.1                   Cross Product

20        6.1                   Vector Spaces           

 

February

2           6.2                  Subspaces

4          Exam I

6          6.3                   Linear Independence

9          6.4                   Basis and Dimension

11        6.5                   Homogeneous Systems

13        NO CLASS     President’s Day

16        NO CLASS     President’s Day

18        6.6                   Rank of a Matrix

20        6.7                   Change of Basis

23        6.8                   Orthonormal Bases

25        6.9                   Orthogonal Complements

27        B.1                   Inner Product Spaces

 

March

2          8.1                   Eigenvalues and Eigenvectors

4          Exam II

6          8.2                   Diagonalization

9          8.3                   Diagonalization of Symmetric Matrices

11        10.1                 Linear Transformations

13        10.2                 Kernel and Range

16        10.3                 Linear Transformation Matrix

18        10.4                 Fractals

20                                Review

23        Final Exam     Note: The final is from 10:00-11:50

 


 

The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

 

Section

Problems

1.1

4,12,15,19,22,24,T2,T3

1.2

1,4,6,8,10,T1,T3,T4,T5

1.3

2,5,13,15,22,24,28,T3,T7,T10

1.4

4,8,13,15,T4,T6,T9,T10,T19,T23

1.5

1,6,10,13,16

1.6

1,5,8,15,19,24,26,36,43,T2,T7,T8,T11,T12

1.7

3,8,13,20,24,25,T1,T2,T6,T10

2.1

1,4,5,7,10,11,T2,T5

2.2

1,2,4,8,9,13

3.1

2,5,8,11,16,19,22,23,T3,T6,T9,T10,T12

3.2

3,8,13,18,22,T3,T7,T8,T10

4.1

3,8,14,19,24,T3,T4,T6,T8

4.2

3,8,11,15,23,28,T6,T7,T10,T12

4.3

1,4,9,13,17,22,27,32,T3,T5,T8,T9,T11

5.1

1-7

6.1

1,4,5,10,12,15,20,T1,T2,T5,T6

6.2

1,6,11,15,16,22,T2,T6,T9,T10

6.3

1,5,10,15,T3,T5,T7,T10,T11

6.4

1,6,9,12,18,22,26,28,29,33,T2,T3,T7,T9,T11

6.5

1,5,8,11,14,19,22,T1,T3,T4

6.6

1,6,9,14,17,20,23,27,34,T4,T7,T12

6.7

2,7,10,17,22,24,T1,T4,T6

6.8

1,6,11,16,21,T3,T5,T8,T11

6.9

1,4,7,10,T1,T2,T4,T5

B1

2,7,17,27,34,T2,T5,T7,T8

8.1

1,4,9,14,19,22,T4,T5,T6,T8,T11

8.2

1,9,16,23,28,31,38,42,T1,T2,T5,T9

8.3

2,5,8,11,14,17,T1,T4,T6,T8

9.1

1-4,T1

10.1

1,4,7,13,14,17,T4,T6,T7,T8,T13

10.2

1,4,10,14,17,18,T3,T5,T6,T9,T10

10.3

1,4,7,10,13,16,19,22,25,T2,T4,T6,T7,T9,T10

10.4

1,4,7,10,13,18,T1,T4,T5