Linear and quadratic equations and inequalities, determinants, matrices, systems of equations, binomial theorem, exponential and logarithmic functions, theory of equations.

Study of trigonometric functions, graphs, identities, inverse trigonometric functions, trigonometric equations, and applications of trigonometry. Recommended for students who have not had high school trigonometry.

Development of a mathematical way of thinking through a coherent first-hand experience. Emphasis on the student’s deductive powers and ability to use language precisely and efficiently. Study of Euclidean geometry; Hilbert’s axioms, neutral geometry, hyperbolic geometry; the axiomatic method; and an introduction to consistency, independence, and completeness of axiom systems.

An introduction to calculus. The derivative, applications of the derivative, techniques of differentiation, exponential and natural logarithmic functions, an introduction to integral calculus.

Non-calculus based introduction to statistics, statistical measures of data, statistical description of data, elementary probability, random variables, binomial and normal distributions, estimation, testing hypotheses.

Concepts of sets, functions, numeration systems, number theory and properties of the natural numbers, integers, rational, and real number systems, with an emphasis on problem solving and critical thinking. This course is designed for students seeking EC-4 or 4-8 teacher certification.

Generally covers same topics as MATH 1314.

An introduction to combinatorial mathematics and finite mathematics required in the study of computer science. Topics include elementary set theory, relations and function, combinatorics, and introduction to graph theory with special emphasis on trees and search algorithms, an introduction to recurrence relations and generating functions, and finite state machines.

This course is specifically designed for students who will become teachers in grades 4-8. Students will examine characteristics of situations to select or create math models in algebra, geometry, and trigonometry using real world situations.

Intensive review of algebra, trigonometry and analytic geometry.

A first course in linear algebra, including vector and matrix arithmetic, solutions of linear systems and the Eigenvalue-Eigenvector problem, elementary vector spaces, and linear transformation theory.

Sets, functions, limits, derivatives and applications, introduction to integral calculus. Designed for students majoring in social and life sciences and students seeking 4-8 math teacher certification.

Functions, limits, derivatives of algebraic, trigonometric, exponential and logarithmic functions, curve sketching, related rates, maximum and minimum problems, definite and indefinite integrals with applications.

Methods of integration, polar co-ordinates, parametric equations, sequences and series, and vectors.

Functions of several variables, partial derivatives, vector analysis, and multiple integrals.

Generally covers same topics as MATH 2413.

Introduction to data analysis with SPSS, correlation, regression, prediction, choice of appropriate statistics, presentation of data.

Historical origin and development of mathematical concepts through the sixteenth century. Topics include Egyptian and Babylonian mathematics, Greek mathematics, and early European mathematics.

First order equations: modeling and population dynamics, stability, existence and uniqueness theorem for nonlinear equations, Euler’s method. Second order equations: nonlinear equations via reductions methods, variation of parameters, forced mechanical vibrations, resonance and beat. Laplace Transform: general forcing functions, the convolution integral. Systems of ODEs: eigenvalues and phase plane analysis.

Introduction to mathematical logic and the language and nature of proofs. Applications to sets, mathematical induction, relations, and functions.

This course is specifically designed for students who will become teachers in Grades EC-4 and 4-8. It includes principles and applications of probability and statistics with an emphasis on using real-world data collected, organized, and analyzed by the students.

The development of Euclidean geometry, introduction to proofs, concepts of measurement and co-ordinate geometry.

This course is specifically designed for students who will become teachers in grades 4-8. It includes principles and applications of axioms, theorems, and proofs for the natural numbers, integers, and real numbers.

A development of the elementary theory of numbers, Diophantine equations, congruences, Fibonacci numbers, and magic squares.

This course is specifically designed for students who will become teachers in grades 4-8. It includes principles and conceptual foundations of calculus and applications to middle school mathematics.

Study of heuristics and strategies used in solving problems, with extensive practice in solving word problems involving skills in arithmetic, algebra, geometry, and logic.

Combinatorics, graphs, Boolean algebra, algebraic structures, coding theory, finite state machines, machine design, and computability.

An introduction to logic and methods of proof with applications to basic set operations, relations, functions, cardinality, and the real number system.

Axiomatic and set-theoretic treatment of geometry, analysis of the metric and synthetic approaches to Euclidean geometry, introduction to non-Euclidean geometries.

An introduction to abstract algebraic structures concentrating mainly in group theory. Topics in group theory include cyclic groups, normal subgroups, quotient groups, homomorphisms, isomorphisms, permutation groups, the Sylow theorems, and the structure theorem for finite abelian groups.

Continuation of MATH 3350. The abstract algebraic structures studied here include rings, fields, and modules. MATH 3351 is strongly recommended for undergraduates contemplating graduate study in mathematics.

A calculus-based introduction to statistics, probability, special probability distributions, nature of statistical methods, sampling theory, estimation, testing hypotheses.

The real number system, Completeness Axiom, metric spaces, sequences, compactness, continuity, differentiation, Intermediate Value Theorem, Extreme Value Theorem, the Riemann integral, Fundamental Theorem of Calculus.

Stieltjes integral, convergence, uniform convergence, sequences and series of functions, bounded variation, the Implicit Function Theorem.

Special advanced problems in mathematics to suit the needs of individual students.

Special advanced problems in mathematics to suit the needs of individual students.

Complex numbers, analytic functions, complex line integrals, Cauchy integral formula, and applications.

Simple linear regression, theory of least squares, multivariate analysis, theory of the general linear model, application to real life data, modeling, and interpretation of computer-generated graphical and numerical results in regression analysis.

Algorithms for solving linear and non-linear equations and systems thereof, interpolating polynomials, finite difference approximations of derivatives, techniques of numerical integration, one-step and multi-step methods for solving ordinary differential equations and systems thereof.

Topics chosen from linear programming, optimization, numerical simulation, or other fields of interest to students and instructor.

Probability, well-known distributions, conditional probability, Bayes’ formula, Markov chain, counting process, Poisson process, Chapman-Kolmogorov equations, gambler’s ruin, branching process.

Basic statistical concepts, analysis of variance, randomized blocks, Latin-squares, general factorial designs, 2k and 3k designs, modeling and analysis using MINITAB or SPSS.

Introduction to essential topics for pre-service 8-12 mathematics educators. Topics include quantitative reasoning, algebraic thinking, geometry, spatial reasoning, measurement, precalculus, mathematics models, and AP Calculus and Statistics.

Vector spaces, linear transformations, matrices, determinants, Eigenvalues, Eigenvectors, canonical forms, bi-linear mappings and quadratic forms.

Special advanced problems in mathematics to suit the needs of individual students.

An introduction to point set topology, including metrizability, compactness, embeddings, Urysohn’s lemma, and homotopy.

A formal introduction to statistical inference, sampling theory, general principles of statistical inference, goodness of fit tests, regression and correlation, and analysis of variance.