MATH 2600 Linear Algebra

Vectors, matrices, determinants, linear transformations, vector spaces, systems of linear equations. A basic course with a variety of applications in linear modeling, graph theory, linear programming and economic modeling.

Registration Name

Linear Algebra

Lecture Hours

3

Lab Hours

0

Credits

3

Prerequisite

MATH 2450 and MATH 2450L

Student Learning Outcomes

Upon the completion of this course, students will be able to demonstrate the following outcome-based learning skills:

1. Compute with and recognize properties of particular matrices.
2. Formulate, solve, apply, and interpret properties of linear systems.
3. Recognize and use basic properties of subspaces and vector spaces.
4. Determine a basis and the dimension of a finite-dimensional space.
5. Find the eigenvalues and eigenvectors of a matrix and use them to represent a linear transformation.
6. Recognize and use equivalent forms to identify matrices and solve linear systems/
7. Read proofs with understanding.
8. Use definitions and theorems to prove basic results in core topics.
9. Recognize and use equivalent statements regarding invertible matrices, pivot positions, and solutions of homogeneous systems.
10. Decide whether a linear transformation is one-to-one or onto and how these questions are related to matrices.