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MAT 242 Elementary Linear Algebra
 Credit Hours:  3 Effective Term: Fall 2017 SUN#: None AGEC: None Credit Breakdown: 3 Lectures Times for Credit: 1 Grading Option: A/F Only Cross-Listed:

Description: Introduction to the theories and applications of Linear Algebra. Topics included are systems of linear equations, vectors and matrices, linear transformations, determinants, eigenvectors, eigenvalues, and orthogonality. Prerequisite: MAT231.

Prerequisites: MAT231

Corequisites: None

Recommendations: None

Measurable Student Learning Outcomes
1. (Application Level) Solve systems of linear equations using multiple methods, including Gaussian elimination, Cramer's Rule, and matrix inversion. (CSLO #4)
2. (Application Level) Compute the transpose, determinant, and inverse of matrices for a given matrix. (CSLO #4)
3. (Knowledge Level) Define a homogeneous linear system of m equations with n unknowns and identify a sufficient condition for its nontrivial solution. (CSLO #2)
4. (Application Level) Calculate eigenvalues, eigenvectors and eigenspaces for matrices and linear transformations. (CSLO #4)
5. (Knowledge Level) Define the basic terminology of linear algebra in Euclidean spaces, including linear independence, spanning, basis, rank, nullity, subspace, and linear transformation. (CSLO #2)
6. (Knowledge Level) Find the kernel, rank, range and nullity of a linear transformation. (CSLO #4)
7. (Application Level) Solve application problems using the properties of linear mappings: image and kernel. (CSLO #4)
8. (Application Level) Use the Gram-Schmidt process to construct orthogonal and orthonormal bases. (CSLO #4)
9. (Application Level) Define subspaces in R-2 and R-3 and inner products; determine the dimension of a subspace and analyze the function that maps two vectors from a vector space to a scalar. (CSLO's #2, #4)
10. (Synthesis Level) Construct the orthogonal diagonalization of a symmetric matrix. (CSLO #4)
Internal/External Standards Accreditation
None