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MAT 242 Elementary Linear Algebra

Credit Hours: 3Effective Term: Fall 2017SUN#: None AGEC: None |
Credit Breakdown: 3 LecturesTimes for Credit: 1Grading Option: A/F OnlyCross-Listed: |

Measurable Student Learning Outcomes |
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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 |