An extension of the basic concepts of calculus to functions of several variables. Topics include three-dimensional analytic geometry, vectors and vector functions, partial differentiation, and multiple integration. Calculator is required. A survey of the standard techniques for solving ordinary differential equations. Emphasis is on first and second order linear equations, with a focus on applications.
Calculator is required.
A first course in discrete mathematical structures with an emphasis on the foundations of higher mathematics. It is designed for students who need a transitional course to bridge the gap between the study of calculus and the study of a variety of upper division mathematics courses, where the ability to think like a mathematician is critical. The topics include sets, sequences, relations, functions, the language of mathematics, proof and exploration, induction, cardinality, algorithms, and recursion. A continuation of the study of discrete mathematical structures with an emphasis on the foundations of higher mathematics. The topics include combinatorics, graphs, and trees.