MAT 242 - Differential Equations

Class: 4 Credits: 4
This course includes the following topics: solution of linear and elementary non-linear differential equations by standard methods with sufficient linear algebra to solve systems; applications; series; Laplace transform; and numerical methods. (Prerequisite: Analytic Geometry and Calculus III)

Prerequisite(s): Take MAT 141 with a minimum grade of “C”.

Course Topics:

Introduction to Differential Equations
First-Order Differential Equations
Mathematical Models and Numerical Methods Involving First-Order Equations
Linear Second-Order Equations
Laplace Transforms
Series Solutions of Differential Equations
Matrix Methods for Linear Systems
Eigenvalue Problems and Sturm-Liouville Equation

Textbooks:
Textbook information can be found on the Book Inn Web site

Required Materials:

Texas Instruments TI-83 or TI-84 graphing calculator.
Any other device must be approved by the instructor of the course.

Grading System:
A 90-100
B 80-89
C 70-79
D 60-69
F 0-59

Student Learning Outcomes:

Solve problems by determining if a given function is a solution.
Solve differential equations by separable, linear, or exact equations methods.
Solve application problems using first-order differential equations.
Solve a differential equation by improved Euler’s method, Taylor, or Runge-Kutta methods.
Solve second-order equations using homogeneous, non-homogeneous, or the method of undetermined coefficients strategies.

For SCC Online Courses:
If the course you are taking is online, please review the SCC Online Policies that include:

Required materials for all online courses
Mandatory Attendance Requirement
Proctored Exams

Face Covering Requirements:
All faculty, staff and students must wear a face mask/covering at all times (absent a medical condition) on all SCC campuses when safe social distancing measures are not possible or difficult to follow. For further details, refer to the Student Guidelines for Face Coverings and Social Distancing on the SCC Coronavirus COVID-19 Information page.

Standard SCC Course Policies:
Please review the Standard SCC Course Polices on the following topics:

Academic Integrity
Academic Misconduct
Add/Drop period
Appeals Process
Class Attendance
Classroom Behavior (traditional and online)
Classroom Conduct/Expectations
Lab Procedures (general SCC policy regarding this)
Online Confidentiality
Services For Students with Disabilities
Withdrawal Policy

Official Course Syllabus
2020-2021