MATH 203


Monday Wednesday and Friday  1:00 to 2:40 PM   Room A211             

Instructor: Larry Green

Phone Number

Office: 541-4660 Extension 341

Internet e-mail:

Home Page:"


Required Text Linear Algebra and its Applications fourth edition by David C. Lay

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 business.

Student Learning Outcomes
Students will be able to:

  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.

Prerequisite A grade of C or better in Math 107 or equivalent.

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100%        C 70 -- 79%

B 80 -- 89%          D 60 -- 69%

Homework: ....................................….150 points

Exam 1: Feb 1.....................…..…......200 points

Exam 2: March 2.............................…200 points

Final Exam: Mar 23.....................…....450 points

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam.  Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail.  Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. If all homework is completed and no more than one homework assignment receives a score of 5 or less for the exam coverage period, then you may bring a single 3"x5" notecard to the regular exam.  If all homework assignments are turned in and no more than 3 receive a score of 5 of less for the entire quarter, then you may bring a single 3"x 5" notecard to the final exam.

Homework Policy   Homework will be turned in at 1:00 PM or when the Q&A time if finished. Homework that is turned in within one week of the due date will be counted as half credit.  Homework may be turned later than one week after the due date, but points will not be awarded. 



In this class, it is your responsibility to drop the class in order to avoid an unwanted grade.



Monday  ............................  9:40 to 10:40           MSC

Tuesday..........................      1:00 to 2:00             A210

Wednesday ....................      12:00 to 1:00           A210

Thursday........................       12:00 to 1:00           MSC

Friday........................            9:40 to 10:40           A210

CALCULATORS: The TI 89 or nSpire CAS is required for this class.  The TI 89 is available to rent in the Library

Some Hints on the TI 89

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry. Learning disabilities will be accommodated.

TUTORING:  Tutors are available at no cost in the Math Success Center, but for this class Larry, and your fellow classmates are your best bet for help.

A WORD ON HONESTY:  Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please see me.


Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.

Date    Section  Topic                             Exercises

1-4                     Introductions

1-6      1.2  Reduced Row Echelon Forms    2,3,12,15,21,24
            1.3  Vector Equations    7,12,21,24,34

1-9      1.4  Ax = b    7,12,15,20,24,26,31,33,34,35
  Solutions to Systems    11,14,23,25,32,38,39

1-11     1.6  Applications of Linear Systems    3,7,10,12,15
            1.7  Linear Independence    2,7,14,17,18,22,27,32,33,37,38,

1-13     1.8  Introduction to Linear Transformations    5,10,14,15,22,24,30,33,36
            1.9  The Matrix of a Linear Transformation    4,9,18,21,23,33,34,35

1-16     Happy Birthday Martin Luther King         

1-18       1.10  Linear Models in Business, Science, and Engineering    2,5,8,11,14
Matrix Operations    1,9,12,15,18,22,25,26,31,34

1-20     2.2  The Inverse of a Matrix    4,11,16,19,24,28,31,35
            2.3  Characterizations of Invertible Matrices    4,8,12,13,19,22,26,31,37,40

1-23     2.7  Applications to Computer Graphics    2,5,8,11,15,18,20,21
            2.8 Subspaces of Rn     4,7,12,17,20,22,25,29,32,35

1-25    2.9  Dimension and Rank    1,4,7,10,13,16,17,18,20,23,24,27,30

1-27    3.1  Introduction to Determinants    4,13,22,24,29,34,38,40,42

1-30    3.2  Properties of Determinants    6,13,16,19,22,25,28,31,32,35,40,43
            3.3  Volume and Linear Transformations    13,18,23,25,29,30

2-1     Exam 1

2-3     4.1  Vector Spaces and Subspaces    1,3,4,5,7,12,15,19,22,24,27,30,33,34

2-6       4.2  Null Spaces, Column Spaces, and Linear Transformations    

2-8      4.3 Linearly Independent Sets; Bases    4,9,16,20,22,25,30,31,34
            4.4  Coordinate Systems    3,8,9,14,15,20,23,28,37

2-10     4.5  The Dimension of a Vector Space    3,6,9,12,15,19,20,22,25,26,27,29,30,32

2-13     4.6  Rank    3,6,9,12,15,17,18,21,24,27,30,33

2-15     4.7  Change of Basis    1,4,9,11,12,14,17,18
            4.8  Applications    5,10,15,19,24,29,37       

2-17        Lincoln's Birthday         

2-20      Happy Birthday George Washington

2-22     5.1  Eigenvalues and Eigenvectors    5,10,15,20,21,22,25,26,27,29,30
The Characteristic Equation    4,7,12,17,21,22,24

2-24    5.3  Diagonalization    1,6,11,16,21,22,24,27,28,31
  Eigenvectors and Linear Transformations    4,7,10,13,18,20,21,23,25,28,

2-27     5.5  Complex Eigenvalues    1,6,11,17,21,22,24,25
            5.6  Discrete Dynamical Systems    2,5,8,11,14,18

2-29   Snow Day

3-2      6.1    Inner Product Spaces, Length and Orthogonality    5,10,15,19,20,22,24,25,27,29,30,31
           6.2  Orthogonal Sets    5,10,15,20,24,27,29,32

3-5       Exam 2

3-7      6.3  Orthogonal Projections    5,10,11,15,18,21,22,24

3-9       6.4  The Gram-Schmidt Process    5,10,17,18,19,23

3-12    6.5  Least-Squares Problems    3,7,12,17,18,21,24
  Applications to Linear Models    4,7,10,12,13

3-14    6.7  Inner Product Spaces    4,8,13,,16,18,20,21,23,25
Applications of Inner Product Spaces   2,3,7,10,13

3-16     7.1    Diagonalization of Symmetric Matrices    5,10,15,20,25,29,30,32
Symmetric Matrices and Quadric Forms    3,7,10,13,21,25,27

3-19      7.5  Applications to Image Processing and Statistics    1,3,6,9,12

3-23      Comprehensive Final Exam  1:00 PM - 2:50 PM




  1.  Come to every class meeting.
  2.  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have   you materials ready when class starts.
  3.  Read each section before it is discussed in class
  4.  Do some math every day.
  5.  Start preparing for the tests at least a week in advance.
  6.  Spend about half of your study time working with your classmates.
  7.  Take advantage of tutors and office hours, extra help can make a big difference.