Math 215 -- Linear Algebra 

Linear Algebra is a "sophomore-level" course that is often taken by first-year students with sufficient calculus background from high school. It covers basic linear algebra and also introduces students to formal mathematical reasoning and rigorous proofs. Linear algebra can be taken either after or before multivariable calculus, in the combinations Math 121-Math 215, Math 215-Math 121, or Math 215-Math 216.

For students with very strong interest in mathematics or mathematical physics, we recommend the sequence Math 215-Math 216, which follows linear algebra by Math 216. Math 216 covers multivariable calculus at a somewhat more advanced and theoretical level than Math 121. This combination offers many advantages for those students thinking about majoring or minoring in math or taking more advanced mathematics courses.

Prerequisites: At least one of Math 115, Math 116, Math 117, or placement

Who should take this course?
Students considering the math major or minor
Students in any natural science or social science major interested in the more mathematical side of their field (e.g., economics, physics)
Students who have mastered single-variable calculus and want to see what "mathematics beyond calculus" is like.

Topics covered:
Vector spaces
Linear transformations and matrices
Determinants
Quadratic forms
Eigenvalue problems
Applications (e.g., differential equations, linear models)


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For detailed information about Math 215 this year, please consult the list of Fall Courses and Spring Courses linked to the Mathematics and Statistics Home Page.