|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
4.00 Credits
4 hours; 4 credits Mathematical induction, divisibility, prime numbers, Euclidean algorithm, factorization methods, Diophantine equations, congruences, Chinese remainder theorem, systems of congruences, Fermat’s little theorem, multiplicative functions, public key cryptography, primitive roots, primality tests, quadratic reciprocity, Pythagorean triples, Fermat’s last theorem, and sums of squares. Other topics may include continued fractions and partitions. Prerequisite: MTH 232
-
4.00 Credits
(Also PHL 321) 4 hours; 4 credits The calculus of propositions. Existential and universal quantifiers. Turing machines and computability theory. Non-computable functions. The decision problem for arithmetic. Axiomatizing arithmetic. The Godel Incompleteness theorem. Prerequisite: MTH 233 or MTH 236
-
2.00 Credits
2 hours; 2 credits Intensive review of concepts from calculus and linear algebra with special attention to actuarial applications. This course may not be used to satisfy the requirements for the Mathematics major. Prerequisite: MTH 330 or MTH 338
-
4.00 Credits
4 hours; 4 credits Use of linear programming in minimization and maximization problems and the solution of such problems by computer. Topics will include convex sets, linear inequalities, the simplex method, duality, degeneracy procedures, and the transportation model. Prerequisites: MTH 338 and CSC 126 or CSC 270
-
4.00 Credits
4 hours; 4 credits A course in the basic concepts of applied mathematical statistics: parametric models, estimation, confidence intervals, hypotheses testing. Prerequisite: MTH 311
-
4.00 Credits
4 hours; 4 credits A continuation of MTH 410, topics in applied mathematical statistics including regression and correlation, the linear model, analysis of variance, randomized block designs, non-parametric methods. Prerequisite: MTH 410
-
4.00 Credits
(Also BIO 415) 4 hours; 4 credits This course will address the growing interaction between mathematics and the biological sciences and will provide a practical context for the mathematical description and analysis of biological processes. The emphasis will be on the construction and analysis of models consistent with empirical data. Biological problems in ecology and conservation, epidemiology, cell biology, and neuroscience will be used to illustrate the equations, including especially nonlinear equations. The computer program MATLAB will be used extensively. Prerequisites: MTH 230 and MTH 231 or equivalent, MTH 229, and one BIO 300-level course
-
4.00 Credits
(Also FNC 416) 4 hours; 4 credits Introduction to the mathematical theory of derivative pricing; binomial trees and martingales; Black-Scholes formula; stochastic differential equations and Ito calculus; Girsanov theorem Prerequisite: MTH 311
-
4.00 Credits
4 hours; 4 credits Functions of a complex variable; Cauchy integral theorem; power series, residues, and poles; elementary conformal mapping. Applications to problems in physics and engineering will be considered. Prerequisite: MTH 330
-
4.00 Credits
4 hours; 4 credits An introduction to nonlinear problems in mathematics. Subjects to be covered include bifurcation theory, nonlinear oscillation, phase plane analysis, limit cycles. Poincare and Lienard theorems. Lorenz equations and chaos, strange attractors, the logistic equation, period doubling, fractals. Applications are to problems in biological and physical systems and engineering science. The course will make extensive use of computers. Prerequisite: MTH 330
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Cookies Policy |
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2025 AcademyOne, Inc.
|
|
|