A continuation of the introductory topics covered in MTH 304. Contingency Tables. Goodness of fit tests. Type I and Type II errors. Correlation....
The student will creatively apply the material learned in core courses to a significant problem. A written thesis is required. Lab: 3 hrs....
Statistics: Description of numerical data. Elements of probability theory. Discrete probability distributions (hypergeometric, binomial, geometric and...
Review of first-order ordinary differential equations and applications; Higher-order linear differential equations; solution methods series solutions;...
First-order differential equations, first order systems, linear systems; numerical methods and applications. Non-linear systems, discrete dynamical...
A continuation of the introductory topics covered in MTH 380. ANOVA One and two-way. Correlation. Regression. Contingency Tables. Goodness of fit...
Probability of a function of several variables, martingales, conditional expectations, maximum likelihood estimators, random walks, stochastic...
Errors and floating point arithmetic. Solutions of non-linear equations including fixed point iteration. Matrix computations and solutions of systems...
Linear Programming and the Simplex Algorithm. Sensitivity analysis, duality, and the dual simplex algorithm. Transportation and Assignment Problems,...
Review of Taylor's formula, truncation error and roundoff error. Solutions of Non linear Equations in one variable. Linear Equations. LU-decompostion....
Introduction to probability theory and stochastic processes. Topics covered include: elements of probability theory, conditional probability...
Axioms of the real number system. Elementary point topology. Sequences and series of numbers. Limits and Continuity. Differentiation and Taylor's...
Projective plane and 3-space. Cross-ratio, perspectivity, conics and quadrics, poles and polars. Line geometry in projective 3-space. Euclidean,...
A one semester course on the nature of mathematical thought. Mathematics is commonly believed to enjoy a degree of certainty which sets it apart from...
Numerical solutions for initial value and boundary value problems for ordinary differential equations. Runge-Kutta, Multi-step, Hybrid methods....
Nonlinear programming, decision making, inventory models, Markov chains, queuing theory, dynamic programming, Simulation. Lect: 3 hrs. Prerequisite:...
Introduction to graph theory and its applications with an emphasis on algorithmic structure. Topics may include graphs, digraphs and subgraphs,...
Division Algorithm, The greatest common divisor, Euclidean Algorithm and Diophantine Equations; Prime numbers and Fundamental Theorem of arithmetic;...
Sets; Binary operations; functions; partitions and equivalence relations; definition and examples of groups; elementary properties of groups; order of...
Arithmetic of Complex numbers. DeMoivre's theorem. Roots and Powers of complex numbers. Functions of a complex variable. Limits and continuity....