Department of Computer Science
Numerical Calculus
Spring Semester 2012
Dr. Maury Eggen
Examination Two Review
The topics for the second examination include, but are not
necessarily limited to the following:
- interpolation, interpolating polynomials, divided differences
- least squares polynomials
- numerical differentiation
- numerical integration
- Rectangle approximation
- trapezoidal approximation
- Simpson's rules
- Monte Carlo integration
- Romberg's improvements
- Generalizations
- Applications
- Numerical solution of Ordinary Differential Equations
- Taylor series method
- Euler's method
- Euler PC
- Runge-Kutta methods
- Adams multistep method
- Adams Moulton multistep PC method
- Generalizations: systems of first order differential equations
- Applications
Problems on the examination will include theory and application. Be prepared
to justify steps and explain results. Both coding and hand calculation will be
required. Problems will include things you have seen, things that are applications
of things you have seen, and things you have never seen before.
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