Calculus 103 - Differential Equations
This course is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, partial derivatives (including applications), quadric surfaces, multiple integrations, and vector calculus (including Green's Theorem, Curl and Divergence, surface integrals, Stoke's Theorem.
This course also includes an introduction to numerical methods, qualitative behavior of first-order differential equations, techniques for solving separable and linear equations analytically, and applications to various models (e.g. populations, motion, chemical mixtures, etc.); techniques for solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the method of variation of parameters), with emphasis on interpreting the behavior of the solutions, and applications to physical models whose governing equations are of higher order, and the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous.
Pre-requisite course in general for all core mathematics courses in high school with a minimum Algebra 1, Geometry, and Algebra II with an appropriate mathematics placement score. An Alternative to this is that the student should successfully pass with Pre-Calculus, Calculus 101, and Calculus 102.