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2021-2022 Catalog Archived

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:

  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 Policies that include:

  • Required materials for all online courses
  • Mandatory Attendance Requirement
  • Proctored Exams
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
2021-2022