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:

Students successfully completing this course will be able:

  • 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;
  • 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;
  • Explain definitions and give precise statements of important theorems of Linear Algebra;
  • Construct and defend coherent mathematical proofs of statements in Linear Algebra based on definitions and previous theorems.

Course Grading Information:

Activity/Performance Measure Percentage/Points
Exams 60 points
Quizzes 5 points
Computational Assignments 25 points
Proof Assignments 10 points

Grading Scale:

Percentage Letter Grade
93%A
90%A-
87%B+
83%B
80%B-
77%C+
73%C
70%C-
67%D+
63%D
60%D-
0%F

Attendance/Participation:

Attendance will not be taken. Students are encouraged to attend all lectures.

Course Materials Purchased by the Students:

No course materials are required.

Scholarly Perspectives

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