2019  2020 College Catalog [ARCHIVED CATALOG]

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 firstorder differential equations with applications, differential equations of higher order with applications of secondorder 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.
Coursespecific 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 secondorder differential equations using the Euler and RungeKutta 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


