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 realworld 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.
Texts:
Quick Calculus, 2nd Edition, Kleppner and Ramsey.
Matrices and Transformations, Pettofrezzo.
Reference:
Calculus with Analytic Geometry, Simmons.
Introduction to Linear Algebra,
Gilbert Strang.
Requirements:
Four exams and 17 assignments
