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May 10, 2024
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2022-2023 Catalog [ARCHIVED CATALOG]
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MATH 265 - Linear Algebra
PREREQUISITES: MATH 212 - Calculus II
CREDIT HOURS MIN: 3
LECTURE HOURS MIN: 3
DATE OF LAST REVISION: Fall, 2020
An introduction to linear algebra. Systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues, eigenvectors, diagonalization of matrices, applications.
MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course the student will be expected to:
- Recognize systems of linear equations as an appropriate mathematical model in a variety of applications. Set up and solve these systems. Correctly interpret the solutions of the mathematical model within the given context.
- Perform matrix algebra.
- Compute an echelon form and the reduced echelon form of a given matrix using the Gauss-Jordan Elimination Method. Using an echelon form:
- Determine whether or not an associated system of linear equations is solvable. If it is solvable, describe the solution set.
- Determine the rank and nullity of the given matrix.
- Determine bases for the Range and Nullspace of the given matrix considered as a linear transformation.
- Determine eigenvalues and eigenvectors of a given matrix. Use in applications involving discrete Markov Chains.
COURSE CONTENT: Topical areas of study include -
- Systems of Linear Equations and Matrices
- The vector space R”, subspaces, bases, dimension, matrices as linear transformations
- The Eigenvalue Problem and some applications
- Applications as time permits: further applications of eigenvalues, least squares solutions to inconsistent systems of linear equations, image processing.
GRADING POLICY
| A |
90-100 |
| B |
80-89 |
| C |
70-79 |
| D |
60-69 |
| F |
0-59 |
Course Addendum - Syllabus (Click to expand)
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