MATH 238 Differential Equations

5 credits

This course involves studies of first and second order differential equations. Topics covered include techniques for solving differential equations, series solutions, Laplace transforms, numerical approaches, and matrix methods to solve systems of linear differential equations. Real life modeling, applications, and data visualization using appropriate technology are emphasized.

Prerequisites: MATH& 152

Quarters Offered: Fall

Global Outcomes:
This course teaches to the global outcome of Critical Thinking.

Student Outcomes/Competencies:
Upon successful completion of this course, students will be able to:

Describe differential equations using appropriate mathematical notation, symbols, and graphs
Classify differential equations by order, linearity, and homogeneity
Solve first and second order linear differential equations
Solve linear equations with constant coefficients
Use separation of variables, method of undermined coefficients, and variation of parameters to solve differential equations
Use power series methods to solve differential equations
Determine whether a system of functions is linearly independent using the Wronksian
Use Laplace transforms and their inverses to solve differential equations
Solve systems of linear differential equations using matrix techniques and eigenvalues
Use numerical methods to solve differential equations
Model real-life applications using differential equations
Use technology for finding solutions and data visualization
Use the mathematical critical thinking skills of problem solving, pattern recognition, substitution, following structural rules, and quantitative modeling to solve problems requiring reasoning, critical thinking, and computation

Total Hours: 50 Lecture Hours: 50