Differential Equations

Course

Course Title

Class

Lab/ Shop

Clinical/ Co-op

Credit

MAT 285

Differential Equations

Prerequisites: MAT 272

Corequisites: None

Effective Term: Fall 2014

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear higher-order differential equations, systems of differential equations, numerical methods, series solutions, eigenvalues and eigenvectors, and LaPlace transforms. Upon completion, students should be able to demonstrate understanding of the theoretical concepts and select and use appropriate models and techniques for finding solutions to differential equations-related problems with and without technology. This course has been approved for transfer under the CAA as a premajor and/or elective course requirement.This course has been approved for transfer under the Comprehensive Articulation Agreement as a premajor and/or elective course requirement.

Competencies

·Student Learning Outcomes
·1. Find general solutions to first-order, second-order, and higher-order homogeneous and non-homogeneous differential equations by manual and technology-based methods.
·2. Identify and apply initial and boundary values to find particular solutions to first-order, second-order, and higher order homogeneous and non-homogeneous differential equations by manual and technology-based methods, and analyze and interpret the results.
·3. Select and apply appropriate methods to solve differential equations; these methods will include, but are not limited to, undetermined coefficients, variation of parameters, eigenvalues and eigenvectors, LaPlace and inverse LaPlace transforms.
·4. Select and apply series techniques to solve differential equations; these techniques will include but are not limited to Taylor series.
·5. Select and apply numerical analysis techniques to solve differential equations; these techniques will include but are not limited to Euler, Improved Euler, and Runge-Kutta.
·6. Demonstrate proficiency in using CAS technology to analyze, solve and interpret the various applications.

2014FA - New Course Version (S23943)

This Course can be found in these Programs of Study

Associate in Engineering (MAT-171 Entry) REVISED - Associate in Engineering (Day and Evening)
Associate in Engineering (MAT-271 Entry) REVISED - Associate in Engineering (Day and Evening)