2022-2023 Yavapai College Catalog 
    
    Dec 11, 2024  
2022-2023 Yavapai College Catalog [PREVIOUS CATALOG YEAR]

MAT 262 - Elementary Differential Equations

MAT 2262.
Description: Introduction to ordinary differential equations. Includes first order linear equations, higher order linear equations, applications of first and second order equations, Laplace transforms, and systems of linear differential equations.

Prerequisites: MAT 241  

General Education Competency: Quantitative Literacy

Credits: 3
Lecture: 3
Course Content:
  1. First order linear differential equations
  2. Second order linear differential equations
  3. Laplace transforms
  4. Systems of linear differential equations
  5. Numerical methods
  6. Qualitative techniques
  7. Applications of first and second order differential equations and linear systems of differential equations

Learning Outcomes:
  1. Solve first order differential equations that are separable or linear. (1)
  2. Solve second order linear differential equations. (2)
  3. Apply Laplace transforms to solve differential equations. (3)
  4. Solve systems of linear differential equations using matrices. (4) 
  5. Apply qualitative techniques to graph solutions of differential equations and systems of differential equations. (6)
  6. Apply numerical methods to solve differential equations. (5)
  7. Solve applied problems involving differential equations. (1-7)