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HI 5001 Numerical Methods for Health Information Sciences, Biomedical Science and Engineering
Course Type:
basic
Credit Hours:
3
Introduction to numerical methods for graduate students and faculty in biomedical engineering and health information sciences. The topics presented in this course will be particularly useful to students in the computational biomedicine and biomedical engineering focus areas.
Prerequisites
Undergraduate calculus; plus familiarity with Matlab, Mathematica or equivalent
Additional Information
Course Objectives
At the end of the course, students will have the ability to:
- Solve systems of algebraic, differential, integro-differential and stochastic differential systems, numerically.
- Use a combination of available and self-written software to solve these problems.
- Formulate a numerical strategy for the solution ofan arbitrary mathematical model.
Topics
- Mathematical Preliminaries and Error Analysis
- One-Variable Equations
- Interpolation and Polynomial Approximation
- Numerical Differentiation and Integration
- Initial Value Problems I
- Initial Value Problems II
- Direct Methods for Linear Systems
- Iterative Techniques in Matrix Algebra
- Approximation Theory
- Approximating Eigenvalues
- Nonlinear Systems
- Boundary-Value Problems I
- Boundary-Value Problems II
- Partial Differential Equations I
- Partial Differential Equations II