## 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)

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.