**Basic set theory. Functions and their graphs. Linear and quadratic equations and systems. Trigonometry. Cartesian Coordinates. Congruence transformations in the plane.**

*Math 100 - Pre-Calculus*

Preparation for Calculus I or Business Calculus. 3 credits

*Math 102 - Mathematical Modeling (CORE)*Communication through graphs. Linear, quadratic, exponential and logarithmic functions. Data analysis and modeling. Optionally, introduction to Statistics, Quality of fit.

Not for Math Major or Minor. 3 credits

*Math 107 – Computational Math with Spreadsheets (CORE)*

General computer concepts and important applications of numerical evaluation of formulas and statistical, logical, mathematical, financial, date-time, and database functions in the environment of separate and related spreadsheets.

Not for Math Major or Minor (except Elementary Education). 3 credits

*Math 118 - Introduction to Statistics (CORE)*

Communicating with Graphs. Data Analysis and Sample statistics. Sampling methods. Probability. Introduction to Combinatorics. Normal Distribution.

Not for Math Major or Minor. 3 credits

*Math 119 – Statistics (CORE)*

Communicating with Graphs. Data Analysis and Sample statistics. Sampling methods. Probability. Combinatorics. Normal Distribution. Hypothesis testing. Optionally, Monte Carlo Simulation.

Not for Math Major or Minor. 3 credits

**Math 131 - Calculus I**

Real functions of a single real variable: limits, continuity, derivatives, integrals, Fundamental Theorem of Calculus.

Prerequisite: satisfactory score on placement test. 4 credits

*Math 132 - Calculus II*

Techniques of Integration. Transcendental functions. Optimization. Convexity and Concavity. Improper integrals. Sequences and series, convergence criteria. Taylor series. Applications in physics.

Prerequisite: C or better in Calculus I. 4 credits

*Math 135 - Business Calculus*

One-semester course in calculus of functions of a single real variable with emphasis on business applications. Limits, derivatives, integrals. Polynomial, rational, exponential and logarithmic functions. Applications.

Not for Math Major or Minor. 3 credits

*Math 222 - Mathematics for elementary education*

Theory and application of arithmetic, algebra, geometry, and probability at the primary school level. This course is exclusively for students pursuing a certification in elementary school education; it is a co-requisite of EDUC 322.

3 credits

*Math 231 - Calculus III*

Vectors, vector operations, dot product, cross product. Vector valued functions, continuity, partial derivatives. Gradient, tangent plane, total derivative. Classification of quadratic surfaces. Multiple integrals.

Prerequisite: Calculus II.

3 credits

*Math 241 - Linear Algebra I*

The first part of a two semester sequence. Linear equations and matrices, vector spaces, subspaces, linear independence, bases, dimension, inner product, linear transformations, eigen values and eigen vectors, orthogonal matrices, diagonalization.

3 credits

** Math 242 – Linear Algebra II** The first second of a two semester sequence. A continuation of topics in Linear Algebra, with emphasis on orthogonality, inner product spaces, eigenvalues and eigenvectors, ,canonical forms, quadratic forms. Numerical Methods.

3 credits

**Ordinary differential equations of first and second order: exact solutions and numerical methods, use of mathematical software. Laplace transforms. Applications in physics, chemistry, biology. Prerequisite: Calculus III.**

*Math 255 - Differential Equations*

3 credits

**Math 261 - Symbolic Computing**Concepts and practical use of a Compute Algebra System such as Maple: Data types and control structures. Two- and three dimensional plotting. Symbolic computing of solutions to selected problems in algebra and analysis. Contrasting exact and numerical solutions.

3 credits

**Programming constructs and data structures for a programming language suitable for compute intensive applications, such as C++. Development, implementation, and debugging of algorithms for selected computational problems on workstations and clusters. Prerequisite: Symbolic Computing or permission of the instructor.**

*Math 262 - Numerical Computing*

3 credits

**Random variables. Discrete and Continuous Probability Distributions (Binomial, Poisson, Normal, T). Statistical moments, point estimation, interval estimation. Hypothesis Testing. Optionally, Analysis of Variance and Covariance, Simulation, Introduction to Experimental Design. Prerequisite: Calculus I.**

*Math 311 - Probability Distributions & Statistical Inference*

3 credits

*Math 321 – Introduction to Higher Geometry*Euclidean, Projective, Non-Euclidean, Axiomatic Geometry. Optionally, analytic geometry of conic sections.

3 credits

*Math 331 - Analysis*Calculus of a single real variable, with emphasis on proofs. Axiomatic foundation of real number system. Rigorous development of Riemann integration. Optionally, Introduction to theory of measure, Fourier analysis.

Prerequisites: Calculus II and Linear Algebra I.

3 credits

** Math 341 – Abstract Algebra I** The first part of a two semester sequence. An introduction to algebraic structures with an emphasis on groups, normal subgroubs, cosets, Lagrange’s Theorem, and the fundamental homomorphism theorems.

Prerequisites: Linear Algebra I.

3 credits

*Math 342 – Abstract Algebra II*The second part of a two semester sequence. Further study of algebraic structures, such as rings, integral domains, fields. The homomorphism theorem and its applications.

3 credits

** Math 431 - Vector Calculus**Calculus for vector functions. Line and surface integrals. Theorems of Gauss, Green, and Stokes. Applications in electrostatics, electrodynamics, fluid dynamics.

Prerequisite: Calculus III.

3 credits

**Complex plane and elementary complex functions. Analytic functions, Cauchy-Riemann equations, and Cauchy integral theorem. Taylor series, Laurent series, singularities, zeroes, and calculus of residues. Conformal mapping and its applications. Prerequisite: Analysis.**

*Math 453 - Complex Functions (elective)*

3 credits

*Math 455 - Linear Partial Differential Equations (elective)*

Classification of second-order linear partial differential equations. The method of separation of variables, the method of Fourier series, and the method of integral transforms. General solutions, initial problems, boundary problems, and initial-boundary value problems.

Prerequisite: Differential equations.

3 credits

*Math 456 - Nonlinear Partial Differential Equations (elective)*

Self-similar variables and exact solutions of first-order and second-order partial differential equations. The Cauchy method of characteristics and solutions of nonlinear partial differential equations of the first order. Series solutions of nonlinear partial differential equations of the second order. Applications in science.

Prerequisite: Linear Partial Differential Equations.

3 credits

*Math 461 - Applied Mathematics Seminar (elective)*

A topic or research project in mathematics, biology, chemistry, physics, or applied computing, culminating in student presentations. Participation requires nomination by department faculty.

3 credits

** Math 463 – Topology (elective)** An introduction to topology. Beginning with a view of set theory and basic topological definitions, topological spaces are studied, with metric spaces considered as examples. Compactness, connectedness, metrization theorems. An introduction to homotopy theory.

3 credits

*Math 465 - Topics in Mathematics (elective)*A special topic will be offered when demand warrants. Participation requires permission by department chairperson.

3 credits

*Math 469 – Independent Study (elective)*Independent study and/or research under faculty guidance. Requires approval of chair person.

3 credits