Catalog Course Search Details

 Department:    MATH

 Course #:    204

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2019

 Course Description  

An introductory course including systems of linear equations; matrices; the vector space Rn; determinants, Cramer's Rule; applications.

 Prerequisite  

Prerequisite: MATH& 151 with a grade of C or better.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Elective  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Perform Gauss-Jordan elimination to solve a system of equations.
2. Transform a matrix to row-reduced echelon form.
3. Use Cramer??s Rule to solve a system of equations.
4. Test for independence/dependence in R??.
5. Reduce a spanning set to a basis in R??.
6. Extend an independent set to a basis in R??.
7. Find a basis for the solution space Ax=0.
8. Perform the Gram-Schmidt process (optional).
9. Compute a basis for the kernel of a linear transformation.
10. Compute a basis for the image of a linear transformation.
11. Find eigenvalues and corresponding eigenvectors of a matrix.
12. Orthogonally diagonalize a symmetric matrix.
13. Use the process of linear algebra to solve application problems.
14. Apply alternative mathematical techniques, from a historical perspective where appropriate.
15. Understand how mathematics is used in other fields and occupations.
16. Understand the use of mathematics cross-culturally.

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

Course Contents

1. Geometry of R'
2. Linear equations and Matrices
3. Determinants
4. Independence and basis in R??
5. Linear transformations
6. Eigenvalues and Eigenvectors
7. Vector spaces
8. Applications may include curve fitting, Markov Chains, Kirchoff??s Laws, Leontief Model, Linear Programming