### School of Medicine

#### Medical Mathematics Specialization

Mathematics 347, 513, 529, 545, 547, 583, and 591.

**MTH347 Calculus**This course covers vector algebra and calculus in two- and three-dimensional space.

**MTH513 Probability and Statics in the Health Sciences**

This course covers topics in probability and statistics considered useful to those students planning on a career in the health sciences. The topics covered include probability principles and distributions in health sciences, types of epidemoiiologic study designs, estimation of medical parameters in defined patient populations, test of hypothesis, measures and analysis of treatment of the sick, analysis of variance, methods of medical outcome prediction, and prospective, retrospective and cross-sectional studies of disease occurrence.

**MTH529 Linear Algebra**

Vector spaces, subspaces, linear transformations, matrices, eigenvalues and eigenvectors.

**MTH545 Differential Equations**This course examines qualitative, analytical, and numerical techniques for studying differential equations. Course begins with single differential equations, then covers systems of equations,

*n*-th order linear differential equations, forcing, nonlinear differential equations, difference equations, and Laplace transforms.

#### Mathematics in Medicine and the Life Sciences

- Fuzzy Cube, Strokes
- Fuzzy Logic
- Bone Mineral Density
- Belief Functions
- Osteoporosis
- Methods of Medical Outcome Prediction
- Gas Exchange in the Lungs
- Probability and Statistics
- Epidemiologic Study Designs
- Heart Circulation
- Electrical Properties of Cell Membranes

**MTH547 Mathematics in Medicine and the Life Sciences **This course is intended to be an overview of a variety of mathematical topics considered useful to those students intending to pursue a career in medicine or the life sciences. The topics covered include mathematics of populations, growth of bacterial cultures, inheritance, bacterial genetics, plasmids, theory of epidemics, biography, the growth of bacteria on plates; heart and circulations, gas exchange in the lungs, electrical properties of cell membranes, and muscle mechanics.

**MTH583 Fuzzy Mathematics: Applications in Health Sciences**This course focuses on crisp sets; fuzzy sets; classical logic; fuzzy logic; fuzzy complement; fuzzy union; fuzzy intersection; crisp and fuzzy relations; similarly relations; compatibility relations; orderings; morphism; fuzzy relational equations application to health sciences.

**MTH591 Analysis I**

Introductory course in analysis covering properties of Euclidian spaces and their applications to functions.