MATH 215 - Differential Equations

Number of Credits: 4
Differential Equations includes exact solutions of common types of first-order ordinary differential equations, exact solutions of second-order equations whose coefficients are constant, numerical and graphical techniques, Laplace transform methods, and linear systems. Additional topics may include applications to geometry and mechanics, matrix methods, special functions, and non-linear systems. Students will be required to use significant mathematical software such as Mathematica, Maple, or MATLAB throughout the course. See Mathematics and Engineering Division web site for details. (Spring Term Only) Five hours lecture. Four Credits. Four billable hours.

Pre-requisite(s): MATH 136 with a minimum grade of C or better.
Course Objectives: Upon successful completion of this course, students will be able to:

Classify differential equations by type, order and linearity. (PG1,PG4,GE1)
Solve the separable, exact, linear, homogeneous, and Bernoulli first-order differential equations. (PG3,GE2)
Solve applications of first-order differential equations.(PG2,PG3,GE2,GE3)
Solve second-order differential equations by constructing a second solution from a known solution. (PG3,GE2)
Solve homogeneous and nonhomogeneous linear equations of second or higher order using the following methods: constant coefficients, undetermined coefficients, Cauchy-Euler differential equations, Laplace transforms. (PG3,GE2)
Solve systems of differential equations with Laplace transforms. (PG3,PG4,GE1,GE2)
Solve eigenvalue problems. (PG3,GE2)
Set up and solve application problems using mathematical software. (PG1,PG2,PG3,PG4,GE1,GE2,GE3,GE4)