Dec 22, 2024  
2023-2024 SCC Catalog 
    
2023-2024 SCC Catalog Archived

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:
  1. Solve problems by determining if a given function is a solution.
  2. Solve differential equations by separable, linear, or exact equations methods.
  3. Solve application problems using first-order differential equations.
  4. Solve a differential equation by improved Euler’s method, Taylor, or Runge-Kutta methods.
  5. 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
  • Classroom Conduct
  • Equal Access
  • IT Access
  • Online Behavior
  • Online Confidentiality
  • Services For Students with Disabilities
  • Student Concerns
  • Student Help Services
  • Withdrawals


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Official Course Syllabus
2023-2024