Instructor: Tara Holm
A basic introduction to Calculus and Linear Algebra. The goal is
to make students mathematically literate in preparation for studying a
scientific/engineering discipline. The first week covers differential
calculus: graphing functions, limits, derivatives, and applying
differentiation to real-world problems, such as maximization and rates
of change. The second week covers integral calculus: sums,
integration, areas under curves and computing volumes. This is not
meant to be a comprehensive calculus course, but rather an
introduction to the fundamental concepts. The third and fourth weeks
introduce some basic linear algebra: vector spaces, linear
transformations, matrices, matrix operations, and diagonalization. The
emphasis will be on using the results, not on their proofs.
Quick Calculus, 2nd Edition, Kleppner and Ramsey.
Matrices and Transformations, Pettofrezzo.
Calculus with Analytic Geometry, Simmons.
Introduction to Linear Algebra,
Four exams and 17 assignments