Skip to main content

Mansfield University... Developing Tomorrow's Leaders Mathematics - Course Goals, Objectives, and Outcomes



MA 3310 Numerical Analysis


Course Goals: The course will develop numerical methods aided by technology to solve algebraic, transcendental, and differential equations, and to calculate derivatives and integrals. The course will also develop an understanding of the elements of error analysis for numerical methods and certain proofs. The course will further develop problem solving skills.

Course Objectives:

  1. derive appropriate numerical methods to solve algebraic and transcendental equations
  2. develop appropriate numerical methods to approximate a function
  3. develop appropriate numerical methods to solve a differential equation
  4. derive appropriate numerical methods to evaluate a derivative at a value
  5. derive appropriate numerical methods to solve a linear system of equations
  6. perform an error analysis for various numerical methods
  7. prove results for various numerical root finding methods
  8. derive appropriate numerical methods to calculate a definite integral
  9. code various numerical methods in a modern computer language

Course Outcomes: Students will be able to

  1. solve an algebraic or transcendental equation using an appropriate numerical method
  2. approximate a function using an appropriate numerical method
  3. solve a differential equation using an appropriate numerical method
  4. evaluate a derivative at a value using an appropriate numerical method
  5. solve a linear system of equations using an appropriate numerical method
  6. perform an error analysis for a given numerical method
  7. prove results for numerical root finding methods
  8. calculate a definite integral using an appropriate numerical method
  9. code a numerical method in a modern computer language