MATH 208 Introduction to Linear Algebra • 5 Cr.
Introduces the vocabulary, algebra, and geometry of vector spaces in "R" and function spaces. Students use matrix methods and vectors to explore systems of linear equations and transformations. Also presents elementary theory of eigenvalues. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 152 or higher, with a C or better. Preferred: MATH& 153 or MATH& 254.
After completing this class, students should be able to:
- Use matrix methods to set up, solve, and analyze linear systems for applied and general situations.
- Describe and solve problems using the ideas, properties, and vocabulary of vector spaces (e.g linear combinations, span, subspaces, linear independence, basis and a change of basis, dimension, orthogonality).
- Identify linear transformations using properties of linearity, convert linear transformations to matrix form, compute and analyze eigenvalues, and describe the related transformation spaces (including null space and range).