Dec 09, 2022
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
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.
- 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