HI 5325 Mathematical Methods for Health Informatics, Biomedical Science, and Engineering

Advanced mathematics for graduate students and faculty in biomedical engineering and health information sciences.  The topics presented in this class will be particularly useful for students in the computational biomedicine and biomedical engineering focus areas.

Topical Outline:
Ordinary Differential Equations
1.    First-Order ODEs
2.    Higher-Order Linear ODEs
3.    Systems of ODEs, Nonlinear ODEs, Nonhomogeneous Linear ODEs
4.    Series Solutions, Special Functions
5.    Laplace Transforms
Linear Algebra, Vector Calculus
6.    Matrices, Linear Systems
7.    Eigenvalue Problems
8.    Vector Differential Calculus I
9.    Vector Differential Calculus II
10.    Vector Integral Calculus
Fourier Analysis and Partial Differential Equations
11.    Fourier Series, Integrals and Transforms
12.    Partial Differential Equations I
13.    Partial Differential Equations II
Other Topics
14.    Intro to Complex Analysis
15.    Intro to Optimization, Probability and Statistics

Prerequisites

Undergraduate Calculus