MAT 242 - Differential Equations

Lecture Hours: 4 Credits: 4

Description: 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 website

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:
An overall grade of C or higher is required for transferability.

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 Course Policies that include:

Identity Verification
Required materials for all online courses
Mandatory Attendance Requirement
Orientation and Support
Proctored Exams

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

Academic Integrity
Add/Drop period
Attendance
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Official Course Syllabus
2024-2025