MATH 230 Introduction to Linear Algebra*

This course includes the application of matrices, determinants, linear transformations and vector spaces.

Credits

3 Credits

Semester Contact Hours Lecture

45

Prerequisite

MATH 160 or MATH 170

MATH 230Introduction to Linear Algebra*

Please note: This is not a course syllabus. A course syllabus is unique to a particular section of a course by instructor. This curriculum guide provides general information about a course.

I. General Information

Department

Mathematics & Engineering

II. Course Specification

Course Type

Program Requirement

Credit Hours Narrative

3 Credits

Semester Contact Hours Lecture

45

Prerequisite Narrative

MATH 160 or MATH 170

Grading Method

Letter grade

Repeatable

N

III. Catalog Course Description

This course includes the application of matrices, determinants, linear transformations and vector spaces.

IV. Student Learning Outcomes

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

• Analyze real-world questions and mathematically structure strategies to model the questions.
• Correctly provide solutions to the models of the questions.
• Communicate the solutions to the questions when analyzed and solved mathematically.

V. Topical Outline (Course Content)

Systems of Linear Equations Gaussian Elimination Matrices and Matrix Operations The Matrix Equation Ax=b Solution Sets of Linear Systems Linear Independence Linear Transformations Vector Equations The Inverse of a Matrix Characterizations of Invertible Matrices Partitioned Matrices Determinants and their Properties Cramer’s Rule and Volume Vector Spaces and Subspaces Null Spaces and Column Spaces Linearly Independent Sets; Bases Coordinate Systems The Dimension of a Vector Space Rank Change of Basis Eigenvectors and Eigenvalues The Characteristic Equation Diagonalization Eigenvectors and Linear Transformations Complex Eigenvalues Inner Product, Length and Orthogonality Orthogonal Sets Orthogonal Projections

VI. Delivery Methodologies