MATH 2270 - Elementary Linear Algebra

Credits: 4

This course is an introduction to elementary linear algebra for mathematics, mathematics education, and science majors. Topics include linear spaces, subspaces, bases, changing bases, dimension, linear transformations, null spaces, image, eigenspaces, linear algebras, including matrix algebra, multilinearity/determinants, and rank+nullity. Inner-product spaces, the Cauchy-Schwartz inequality, orthogonality, projection homomorphisms, and Gram-Schmidt are covered. Calculus applications are emphasized throughout. The course is proof intensive, focusing on algebraic structure, and prepares students for further study in ordinary differential equations and abstract algebra.

Prerequisite: Within the last year, MATH 1220 with a C grade or better (preferably a B or higher)
Semesters Offered: Fall & Spring

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