MATH 205 - Applied Linear Algebra

4 Credits
This course introduces the fundamentals of linear algebra (i.e., the notation and algebra of vector spaces and matrices). Because these items have the ability to handle masses of data as a single unit with relative ease, they are of particular interest to those in computer science. Those applications to programming (e.g., 3-D game design, simulation, and biometric security) will serve as context throughout the course. Topics include matrix operations, linear transformations, vector spaces, and 3D geometry.

Fees: Additional course fees apply.
Prerequisite(s): MATH 135 or MATH 150
Course Learning Outcomes:
1. Perform the following matrix operations: addition, subtraction, scalar multiplication, and multiplication.
2. Find the inverse, transpose, and determinant of a matrix and perform LU-Factorization.
3. Solve a system of equations using augmented matrices, row operations, and Gaussian Elimination. Use linear systems to model and analyze applied situations.
4. Perform Linear Transformations translations, reflections, projections, rotations, dilations, and contractions using matrices.
5. Solve problems using applications of matrices such as coding, graph theory, and computer graphics.
6. Perform the following vector operations: sum, difference, dot product, scalar multiplication, cross products, and normalizing.
7. Solve problems dealing with 3-D geometry such as finding bounding boxes or bounding spheres, and finding intersections of geometric shapes in 3-D.
8. Compute eigenvalues and eigenvectors of a matrix.
9. Utilize technology as appropriate to perform matrix operations.