Feb 29, 2024  
2016-2017 Catalog 
    
2016-2017 Catalog [PAST CATALOG]

MAT 212 - Differential Equations

4 credit hours - Four hours weekly; one term.
Analyze and solve ordinary differential equations of various types: separable, exact, linear equations of all orders and systems of linear equations. Master techniques including integrating factors, undetermined coefficients, the Wronskian, variation of parameters, reduction of order, power series, Laplace transforms and numerical approximations. Solve systems of linear equations using operator methods, numerical approximations and matrix methods. Apply these techniques to various applications including trajectories, mixing, growth, decay, vibrating springs, electric circuits and resonance. Use a mathematical software system as an integral and substantial part of the course.

Prerequisite(s): MAT 192 .

Course Outcomes
Upon successful completion of this course, students will be able to:

  • Identify different types of initial value problems.
  • Solve first-order differential equations, analytically, graphically, and numerically.
  • Construct models with first-order differential equations.
  • Solve higher-order differential equations, including Cauchy-Euler equation.
  • Solve systems of linear equations by elimination.
  • Construct linear models of initial value problems.
  • Solve linear equations with power series.
  • Solve initial value problems with Laplace transforms.
  • Estimate numerical solutions of ordinary differential equations.
  • Expand functions as Fourier series.
  • Solve separable partial differential equations.
Core Competencies
Core 1 Communication Core 2 Technology Fluency Core 7 Quantitative Reasoning Core 10 Innovative and Critical Thinking