Elementary Linear Algebra

Course Description

Linear systems, matrices, determinants, eigenvalues and eigenvectors, finite-dimensional vector spaces, linear transformations. Prerequisite: Grade of C or better in MAT 196 or MAT 253 or MAT 292.

Syllabus

Student Learning Outcomes, Goals, Objectives:

Upon successful completion of this course, the student will be able to:

  1. Define basic terms associated with Linear Algebra, such as linear systems, linear transformations, matrices, linear independence, dimension, rank, null space, basis, vector space, eigenvalues/eigenvectors and orthogonality.

  2. Give examples of spaces, linear maps or matrices exhibiting properties outlined in SLO 1 in addition to examples of diagonal matrices, invertible matrices, change of bases, and other topics.

  3. Explain definitions and give precise statements of important theorems of Linear Algebra.

  4. Construct and defend coherent mathematical proofs of statements in Linear Algebra based on  definitions and previous theorems.

Course Grading Information:

Activity

Percentage

Papers

35%

Tests

40%

Final Exam

25%

 

Attendance/Participation:

Unsatisfactory attendance and participation will result in lowering of the course grade by up to two full letter grades. 

 

# Absences
Grade Deduction

0-2

None

3-4

1/3 letter, e.g., B to B-

4-6

2/3 letter, e.g., B to C+

7-8

1 letter, e.g., B to C

Over 8

2 letters, e.g., B to D

 

Grading Scale:

Grade
Percentage

A

93-100

A-

90-92

B+

87-89

B

83-86

B-

80-82

C+

77-79

C

73-76

C-

70-72

D

60-69

F

0-59

 

Course Materials Purchased by the Students:

  1. Linear Algebra and Its Applications 6th edition by Lay, Lay, and MacDonald.

Scholarly Perspectives

This course engages diverse scholarly perspectives to develop critical thinking, analysis, and debate and inclusion of a reading does not imply endorsement.