MATH 2250 - Elementary Linear Algebra
This course covers the study of linear algebra, including the solution of linear equations, using matrices, determinants and their properties, vectors, vector spaces, inner product spaces, eigenvalues and eigenvectors.
Credits: 3
Prerequisites:
MATH 2200 Calculus I with a grade of “C” or better.
Minimum Student Competencies
Upon completion of MATH 2250 Elementary Linear Algebra, the student will:
1. Solve a system of linear equations in numerous ways.
2. Compare the advantages and limitations of the standard methods of solving a system of equations.
3. Calculate determinants and know the various properties of a determinant.
4. Determine Eigenvalues and their corresponding Eigenvectors, and use eigenvalues and eigenvectors in explorations of vector spaces and linear transformations.
5. Solve word problems by manipulating matrices of various dimensions.
6. Complete simple proofs, using correct structure and language.
7. Explain the properties of vector spaces and subspaces.
8. Describe linear independence as it relates to vector spaces, and be able to find a basis of a vector space.
9. Find the null space, column space, and rank of a matrix, and use this to describe the relationship between the size of a matrix and the geometric dimension of the vector space.
10. Use eigenvectors to diagonalize a matrix.
11. Calculate a matrix inverse and factor matrices in various ways (LU factorization, QR factorization)
12. Understand the concepts of orthogonality and orthogonal sets; be able to apply orthogonal projections and the Gram-Schmidt process to solve least squares problems.
13. Apply appropriate technologies to solve linear algebra concepts.
Add to Portfolio (opens a new window)
|
