Mathematics

Courses

MATH0900: Essential Mathematics

Credits 3
Whole numbers, fractions and mixed numbers, decimals, ratio, proportion, percent, measurement, geometry, introduction of algebra, solving equations, and statistics. This is a credit/no credit course. Receiving credit for this course prepares the student to take MATH1100 or MATH2240. Credit for courses numbered below 1000 is not transferable.

MATH0950: Intermediate Algebra

Credits 3
Linear equations and inequalities, graphing lines, systems of equations, exponents, polynomials, factoring, radicals, complex numbers, and the quadratic formula. This is a credit/no credit course. This course prepares the student to take MATH1300. Credit for courses numbered below 1000 is not transferable. Students need to verify they have the prerequisites the first day of class.

MATH1100: Liberal Arts Mathematics

Credits 3
Students will explore mathematical ideas and logical reasoning. This class will look at mathematical applications in life which may include topics such as statistics, fair voting schemes, prime numbers, and modular arithmetic. Students will also develop their own insights and theorems through the exploration of mathematical patterns. The content of the class may vary each semester. The course satisfies the general education mathematics competency requirement. The course is designed for non-science majors. Students need to verify they have the prerequisites the first day of class.

MATH1300: College Algebra

Credits 3

Topics include polynomial arithmetic, synthetic division, zeros of polynomials, systems of linear equations, matrices and matrix multiplication. This course prepares students to take MATH1400 and MATH2510. Students need to verify they have the prerequisites the first day of class.

MATH1400: Trigonometry

Credits 3
Topics include the study of the trigonometric functions, plane trigonometry, and analytic trigonometry. This course prepares students to take MATH2510. Students need to verify they have the prerequisites the first day of class.

MATH2010: Fundamental Mathematical Structures I

Credits 3
Includes problem solving and mathematical reasoning, sets, relations and functions, numeration, the system of whole numbers, integers and rational numbers, and number theory. Laboratory activities are included. Students need to verify they have the prerequisites the first day of class.

MATH2240: Elementary Statistics

Credits 3
Introduction to statistical terminology and basic concepts, including common uses and misuses of statistics. Topics include experimental design, sampling, descriptive statistics, correlation and regression, probability, and tests of significance. This is a valuable course for students in all majors. This course satisfies the general education mathematics competency requirement. Students need to verify they have the prerequisites the first day of class.

MATH2310: Discrete Mathematics

Credits 3
An introduction to graph theory, logical operators, mathematical induction, enumeration and Boolean algebra. Students need to verify they have the prerequisites the first day of class.

MATH2510: Calculus I

Credits 4
Limits, derivatives (including trigonometric functions), integration and applications of the derivative. Students need to verify they have the prerequisites the first day of class.

MATH2520: Calculus II

Credits 4
Area, volume, applications of the integral, techniques of integration (partial fractions, integration by parts, etc.), polar coordinates, integration in polar coordinates, infinite series. Students need to verify they have the prerequisites the first day of class.

MATH3240: Probability and Statistics I

Credits 3
Study of combinatorial analysis, probability, random variables and their distributions, estimation, statistical inference, regression and correlation, and analysis of variance. Students need to verify they have the prerequisites the first day of class.

MATH3245: Probability and Statistics for Science and Engineering

Credits 3
This course will develop a thorough understanding of the methods of probability and statistics which are used to model engineering problems and develop the necessary skills to implement and analyze basic statistical models using computer software. Intended for engineering majors.

MATH3280: Modeling and Operations Research

Credits 3
A survey of fundamental operations research techniques. Emphasis is given to the linear programming model. Other topics will be chosen from network models, decision analysis, queuing theory and dynamic programming.

MATH3310: Methods of Proof

Credits 3
Logic, mathematical induction, sets, equivalence relations and equivalence classes, and order relations are studied. Emphasis is given to constructing sound mathematical arguments.

MATH3320: Linear Algebra

Credits 3

A study of vector spaces, linear transformations, matrices, determinants, and systems of equations. Special attention is given to the connection between linear transformations and matrices.

MATH3410: Modern Geometry

Credits 3
A review of Euclidean geometry is followed by a wider view of geometry. Topics may include hyperbolic geometry, finite geometries and metric geometries other than Euclidean.

MATH3530: Calculus III

Credits 4

A continuation of Calculus II. Partial differentiation, gradient and directional derivatives, multiple integrals, and topics in vector calculus including vector fields, curl, divergence as well as the integral calculus involving line and surface integrals. Green's Theorem, Stokes Theorem, and Gauss' Theorem are further topics to be studied. Students need to verify they have the prerequisite the first day of class.

MATH3540: Differential Equations

Credits 4

A first course in ordinary differential equations. Linear algebra will be introduced for systems of linear differential equations. Students need to verify they have the prerequisite the first day of class.

MATH3560: Numerical Analysis

Credits 3
Numerical solution of algebraic and transcendental equations and systems of linear equations, interpolation, finite differences, numerical differentiation and integration and solution of differential equations. Emphasis on methods most adaptable for computer use. Recommended: MATH3540 and a programming language.

MATH3570: Teaching Mathematics in the Secondary School

Credits 2
This course explores strategies for teaching math in secondary schools. A major focus of the class will be moving secondary students through enactive, iconic, and symbolic representation for concepts in the five major areas of math: algebra, functions, geometry, statistics/probability, and number/quantity. Other topics will include standards alignment, technology integration, and assessment. Field experience: 20-40 hours. (See EDUC3570.)

MATH4100: History of Mathematics/Capstone

Credits 1
A study of the emergence of numeration methods, the invention of new mathematical systems, the development of geometry, algebra, calculus and related concepts, and the life stories of some of the persons involved. May be repeated for credit.

MATH4320: Modern Algebra I

Credits 4

The similarities between the algebraic structures arising in the study of number systems, modular arithmetic and polynomial operations will be used to introduce the study of groups, rings, fields, and their mapping. These structures will be applied to number theoretic and geometric problems.

MATH4510: Real Analysis I

Credits 4
Course one of a two-course sequence in the theory of calculus. Topics include limits, continuity, derivatives, integrals, sequence, series and series of function. An introduction to metric topology is given.