Course details

Math courses

MATH 105 Quantitative Reasoning 3
Emphasis on the ability to critically interpret mathematical information commonly found in public discourse and positions of responsibility and leadership. Topics will include measurement and units, proportions, estimation, simple functions, graphs and their interpretation, appropriate use of technology (e.g., spreadsheets and calculators), probability, and descriptive statistics. Examples incorporating mathematical arguments will be taken from a wide variety of fields including social science, sports, finance, environmental issues, education, and health. This course can be used to meet the general education mathematics competency requirement and is intended for students who have not met the competency requirement by exam scores or transfer credit.

MATH 110 Mathematical World 3
A survey of selected content chosen to help build basic number sense, develop skills in pattern recognition, use mathematical modeling to represent and investigate practical problems. Basic arithmetic computational skills are assumed. Prerequisite: general education mathematics competency requirement.

MATH 120 Intermediate Algebra 4
Basic algebra as preparation for Math 141 or Math 170. Prerequisite: one unit of high school algebra or Math 105; and general education mathematics competency requirement.

MATH 131 Math Concepts Elem Classroom I 4
Theory of natural, rational, and real number arithmetic; computation in different numeration systems; elementary set theory and logic; number theory; probability and statistics; problem solving strategies. Linkage to mathematics education in the elementary school. Prerequisite: general education mathematics competency requirement.

MATH 132 Math Concepts Elem Classroom II 3
Formal and informal approaches to Euclidean geometry; patterns, symmetries, classification of geometric figures in two and three dimensions; transformations in the plane; measures, measurement and approximate data; computer software applications to geometry. Linkage to mathematics education in the elementary school. Prerequisite: Math 131 or high school geometry; general education mathematics competency requirement.

MATH 141 Finite Mathematics 3
Linear systems of equations and inequalities including linear programming set theory, elementary counting principles, probability, Markov chains. Applications to problems from business and the social sciences. Prerequisite: Two units of high school algebra or Math 120.

MATH 170 Precalculus Mathematics 4
Families of functions and their graphs. Polynomial, rational, exponential, logarithmic, and trigonometric functions and related applications. Graphing calculators and computer software are used. (Includes weekly computer lab.) Prerequisite: Three units of high school algebra and geometry or Math 120.

MATH 205 Discrete Mathematics 3
Number systems and arithmetic, logic and Boolean algebra, enumeration, problem solving and proof techniques, functions and relations, set theory and applications, elementary graph theory and probability. Prerequisites: three and one-half units of high school mathematics including trigonometry or Math 170.

MATH 211 Calculus I 4
Differential and integral calculus of elementary algebraic and trigonometric functions with applications to geometry and physics; use of graphing calculators and mathematical computer software. (Includes weekly computer lab.) Prerequisites: three and one-half units of high school mathematics including trigonometry or Math 170.

MATH 212 Calculus II 4
A continuation of differential and integral calculus of a real variable; exponential, logarithmic, inverse trigonometric, and hyperbolic functions; techniques of integration; introduction to differential equations; sequences and series; vectors in the plane; polar coordinates. (Includes weekly computer lab.) Prerequisite: Math 211.

MATH 213 Calculus III 4
Differential and integral calculus of three-space; vectors, lines, planes, and surfaces in three-space; vector valued functions; functions of several variables; partial derivatives; multiple integrals; vector calculus. (Includes regular computer lab.) Prerequisite: Math 212.

MATH 300 Conjecture and Proof 3
An introduction to the exploration and formalization of mathematical phenomena, techniques of proof and the rudiments of logic, sets, real analysis, and axiomatic geometry. Provides a preparation for the study of abstract mathematics. Prerequisite: Math 211 and either Math 205 or Math 212, or permission of instructor.

MATH 301 Linear Algebra 3
Linear systems of equations, vector spaces, linear transformations, matrices, determinants, characteristic vectors and values, inner products, computational aspects, and applications. Prerequisite: Math 211 and either Math 205 or Math 212.

MATH 302 Abstract Algebra 3
An introduction to algebraic structures such as groups, rings and fields. Prerequisites: Math 300 and Math 301.

MATH 305 Modern Geometry 3
A survey of geometrics. Comparison of Euclidean, hyperbolic, elliptical, and projective geometries. Integral and fractional dimension; transformation groups; implications for computer graphics. Prerequisites: Math 300.

MATH 311 Real Analysis 3
A rigorous study of differentiation and integration of both one and several variables. Infinite series. Distance, compactness, limits of sequences, convergence, and introduction to the topology of Euclidean n-space. Prerequisites: Math 213, Math 300 and Math 301.

MATH 321 Differential Equations 3
The solution and application of ordinary differential equations; analytic solutions for linear systems; qualitative behavior of nonlinear systems; approximation and computer methods. Prerequisite: Math 213 or Math 301.

MATH 323 Probability and Statistics 3 (3-4)
An introduction to the theory, practice and computer simulation of probability and statistics. Data exploration, sample spaces, random variables, probability distributions and their derivations, probability simulations and statistical inference. The optional fourth credit hour consists primarily of an independent data collection and analysis project. Prerequisites: Math 213 or permission of the instructor.

MATH 341 Numerical Analysis 3
Numerical methods and error analysis for approximating solutions of mathematical problems. Includes linear and nonlinear numerical methods, interpolation and approximation techniques, numerical differentiation and integration. Prerequisite: CoSc 200 and one of Math 301 or Math 321.

MATH 351 Mathematical Modeling 3
The modeling process, built around a study of applications from a variety of both social as well as natural sciences. A variety of mathematical and computing techniques will be employed including discrete structures, probability, calculus, differential equations and algorithms. Completion of modeling projects will be a major component of the course. Prerequisites: CoSc 200 and one of Math 213, Math 301, or Math 323.

MATH 390 Problem Solving Seminar 1
The problem-solving process in the context of nonroutine problems, including a wide variety of general heuristics for approaching such problems. May be repeated. Prerequisite: Math 300 or permission of instructor.

MATH 400 Selected Topics: 3 (1-3)
For mathematics majors with consent of the department. May be repeated.

MATH 409 Senior Project/Internship 3
Project designed to give the student practical experience in mathematics. Each student's project is individually arranged with the instructor. Arrangements must be made at least one semester in advance.