MATH 2320 - Differential Equations

3 Credits (3 hrs. lec., 1 hr. lab.) Linear equations, solutions in series, solutions using Laplace transforms, systems of differential equations and applications to problems in engineering and allied fields. (2701016419) Prerequisite: MATH 2414; College Level Readiness in Reading AND Writing
Course Outcomes
1 - Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
2 - Solve ordinary differential equations and systems of equations using: a) Direct integration b) Separation of variables c) Reduction of order d) Methods of undetermined coefficients and variation of parameters e) Series solutions f) Operator methods for finding particular solutions g) Laplace transform methods.
3 - Determine particular solutions to differential equations with given boundary conditions or initial conditions.
4 - Analyze real-world problems in fields such as Biology, Chemistry, Economics, Engineering, and Physics, including problems related to population dynamics, mixtures, growth and decay, heating and cooling, electronic circuits, and Newtonian mechanics.