MATH2030 — Differential Equations
Academic Division: Liberal Arts Academic Discipline: Mathematics Assistant Dean: Steve Haynes PhD 5 Credit(s) Includes study of differential equations of first and higher order, simultaneous, linear and homogenous differential equations, solution by power series, Laplace transformations, applications, and systems of differential equations. This course meets the requirements for OTM Elementary Differential Equations TMM020 and also TAG# OMT020. UG OMT020 5 Lecture Hour(s); Required Solve first-order differential equations that are separable, linear, and exact by making substitutions and using reduction of order. Homework, Tests, final exam Weeks 1,2,4 and 16 2. Use linear or nonlinear first-order differential equations to solve application problems. Homework, Tests, final exam Weeks 3,4 and 16 3. Assess the relationship between slope fields and solution curves for differential equations. Homework, Tests, final exam Weeks 4 and 16 4. Approximate solutions of first-order differential equations using Euler and Runge-Kutta methods. Homework, Tests, final exam Weeks 5,8 and 16 5. Solve higher-order homogeneous linear equations with constant coefficients. Homework, Tests, final exam Weeks 7,8,9,12 and 16 6. Use linear second-order differential equations and higher-order differential equations to solve application problems. Homework, Tests, final exam Weeks 10,11,12 and 16 7. Use power series to solve higher-order differential equations about ordinary or singular points. Homework, Te
Prerequisites: MATH2010