ACMS 60640 - Introduction to Mathematical Biology

Institution:

University of Notre Dame

Subject:

Applied & Comp Math and Stats

Description:

Theory of nonlinear dynamical systems has applications to a wide variety of fields, from mathematics, physics, biology, and chemistry, to engineering, economics, and medicine. This is one of its most exciting aspects--that it brings researchers from many disciplines together with a common language. Dynamical systems are "deterministic" if there is a unique consequent to every state, and "stochastic" or "random" if there is more than one consequent chosen from some probability distribution. A dynamical system can have discrete or continuous time. The discrete case is defined by a map and the continuous case is defined by a "flow. Nonlinear dynamical systems have been shown to exhibit surprising and complex effects. Prominent examples of these include bifurcation and chaos. Applications to population dynamics, cancer growth and spread of infection will be discussed amongst others. This course will be self-contained.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.nd.edu

Phone Number:

(574) 631-5000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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