MATH 225 - Differential Equations

Credit Hours: 4
Lecture Hours: 4
Laboratory Hours: 0

Prerequisite(s): MATH 220 or equivalent or MATH 215 and permission of the instructor

Restriction(s): None

Corequisite(s): None

Technology is used extensively throughout the course (graphing calculators and a Computer Algebra System). Topics studied are first-order differential equations with applications, differential equations of higher order with applications of second-order differential equations, differential equations with variable coefficients, the LaPlace transform, system of linear differential equations, and numerical methods.

Student Learning Outcomes of the Course: General Education SLO’s:

1. Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.
Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.
Students will demonstrate the ability to employ quantitative methods such as, arithmetic, algebra, geometry, or statistics to solve problems.
Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Course-specific SLO’s:

Solve first order differential equations using separation of variables and substitution
Solve second order differential equations using reduction of order, superposition, and variation of parameters
Find an approximate solution to first and second-order differential equations using the Euler and Runge-Kutta methods.
Perform operations on LaPlace transforms
Use differential equations to solve application problems involving simple harmonic motion, damped motion, and forced motion
Solve problems involving systems of linear differential equations
Use a computer algebra system to solve a variety of differential equations