103 Applied Mathematics 4 credits
Instructor: All Mathematics Faculty

This is an entry-level course appropriate for most college students that emphasizes mathematical reasoning in everyday experiences. The geometry unit deals with form, growth, size, and patterns found in living populations and created art. The mathematics of social choice studies techniques of decision-making, voting, and optimizing alternatives. Operations research discusses algorithms for scheduling, planning, and creating networks. Standard statistical measures also are studied and interpreted. This course is designed for any student who does not need the technical vocabulary of trigonometry or analytic geometry. A student may not receive credit for Applied Mathematics after receiving credit for any course numbered 112 or above.

Prerequisite: Departmental placement exam or satisfactory performance in GNRL 070 Computational Skills.

104 Principles of Modern Mathematics 4 credits
Instructor: All Mathematics Faculty

An introduction to set theory, problem-solving, geometry, algebra, probability and statistics, with selected applications for each. The course satisfies teacher certification requirements.

Prerequisite: Departmental placement exam or satisfactory performance in GNRL 070 Computational Skills.

105 Functions, Graphs, and Analysis 4 credits
Instructor: All Mathematics Faculty

A study of polynomial, rational, trigonometric, and exponential functions and their applications. The nature of functions, equation-solving, solution estimation, graphing, and mathematical modeling will be emphasized. A student may not receive credit for Functions, Graphs and Analysis after receiving credit for any other course numbered 112 or above.

Prerequisite: Placement exam or GNRL 070 Computational Skills.

106 Elementary Statistics 4 credits
Instructor: All Mathematics Faculty

Methods of determining averages, variability, and correlation, and of testing the significance of the statistics, prediction, and distribution-free statistics. A student may not receive credit for Elementary Statistics after receiving credit for any other statistics course.

Prerequisite: Placement exam or GNRL 070 Computational Skills.

107 Finite Mathematics 4 credits
Instructor: All Mathematics Faculty

The main topics covered are Boolean algebra, logic, sets, graph theory, combinatorics, number systems, probability, coding, information theory, recurrence relations, and algorithms. This course cannot be taken for credit after MATH 121.

Prerequisite: Placement exam or GNRL 070 Computational Skills.

112 Calculus I 4 credits
Instructor: Chell, Klyve, Snavely, Wheeler, Tou, Trautwein

A study of coordinate systems; straight lines and conic sections; theory of limits; differentiations of algebraic functions; applications to slopes and curves; and maxima and minima.

Prerequisite: Departmental placement exam or Math 105.

113 Calculus II 4 credits
Instructor: Chell, Klyve, Snavely, Wheeler, Trautwein, Tou

A study of transcendental functions, infinite series, mean-value theorem, polar coordinates, integration, and application of integration. Students completing this course with a  grade of C or better will be awarded credit for MATH 112.

Prerequisite: Math 112 with "C" or better or departmental approval.

121 Discrete Structures 4 credits
Instructor: Chell, Klyve, Snavely, Wheeler, Trautwein, Tou

A study of logic, proofs, and sets; graphs, digraphs, trees, colorings, and traversal; permutations and combinations; binomial coefficients; and recurrence relations.

Prerequisite: Math 112 or departmental approval.

200 Linear Algebra 4 credits
Instructor: Trautwein

An examination of linear equations, matrices, vector spaces, transformations, and eigensystems.

Prerequisite: Math 113.

205 Modern Geometry 4 credits
Instructor: Wheeler, Tou, Trautwein

An introduction to the branches of geometry including plane, solid, higher dimensional, fractal, transformational, non-Euclidean, and combinatorial.

Prerequisite: Math 112.

212 Multivariate Calculus 4 credits
Instructor: Tou, Trautwein

A study of curvilinear motions, solid analytic geometry, vectors, partial derivatives, and multiple integration. Students completing this course with a grade of C or better will be awarded credit for MATH 112 and 113 if not previously taken.

Prerequisite: Math 113 or departmental approval.

230 Mathematics of Actuarial Science 4 credits
Instructor: Snavely

Course Description: This course is designed to help students prepare for a career in the actuarial sciences, and to help students learn material covered on the first actuarial examination. Topics will include:

  1. Limits, series, sequences, and functions,
  2. Derivatives of single and multivariate functions (maximums, minimums, constrained maximums and minimums, rate of change),
  3. Integrals of single and multivariate functions, simple differential equations,
  4. Parameterized curves,
  5. General probability (set functions, basic axioms, independence),
  6. Bayes' Theorem,
  7. Univariate probability distributions (probabilities, moments, variance, mode, percentiles, transformations),
  8. Multivariate probability distributions (Central Limit Theorem; joint, conditional and marginal distributions-probabilities, moments, variance, covariance),
  9. Theory of interest and finance.
Prerequisite: Math 113, Math 121

271 Topics in Mathematics 1-4 credits
Instructor: All Mathematics Faculty

A course of variable content for lower-level students. Recent topic offerings have included logic, problem solving, and actuarial science. Topics will not duplicate material covered in other courses.


303 Theory of Probability 4 credits
Instructor: Wheeler, Snavely

An introduction to discrete probability including combinations and permutations; conditional probability and independence; random variables; and expectation.

Prerequisite: Math 113.

304 Theory of Statistics 4 credits
Instructor: Klingenberg

Data collection and analysis; continuous and discrete distributions; Central Limit Theorem; sampling theory; confidence intervals and estimation theory; regression analysis and correlation including multiple linear regression models and hypothesis testing and confidence intervals in regression models; chi-square test of independence and other non-parametric statistical tests; time series models and forecasting, linear time series models, moving average and autoregressive models, estimation, data analysis, index numbers, and forecasting with time series models, forecasting errors and confidence intervals, and application of statistics to significant real-world data. This course carries VEE credit for actuaries.

Prerequisite: Math 113.

306 Differential Equations 4 credits
Instructor: Snavely, Wheeler

A study of common types of ordinary differential equations, their solutions and applications, singular solutions, and an introduction to mathematical modeling.

Prerequisite: Math 113.

307 Engineering Mathematics 4 credits
Instructor: Wheeler

A study of differential equations, partial differential equations, vector analysis, Laplace transforms, Fourier transforms, and vector analysis. Most spring semesters.

Prerequisite: Math 306.

309 Real Analysis 4 credits
Instructor: Snavely

Fundamental concepts of analysis, limits, continuity, differentiation, and integration. Major topics include the real number system, sequences, series, the Riemann integral, and the Generalized Riemann integral.

Prerequisite: Math 200 or instructor approval.

310 Complex Variables 4 credits
Instructor: Snavely

A continuation of Mathematics 309, this course is an introduction to complex analysis, including the Cauchy-Riemann Equations, Cauchy's Theorem, residue theory, and conformal mapping.

Prerequisite: Math 200 or instructor approval.

322 Abstract Algebra I 4 credits
Instructor: Chell, Klyve, Tou, Trautwein

A study of groups, Lagrange's theorem, normal subgroups, fields, rings, integral domains, subrings, ideals, and vector spaces.

Prerequisite: Math 200.

323 Abstract Algebra II 4 credits
Instructor: Chell, Klyve, Tou, Trautwein

A continuation of Abstract Algebra I, concentrating on topics in ring theory and field theory, including applications. Specially arranged, odd numbered years.

Prerequisite: Math 322.

330 Number Theory 4 credits
Instructor: Staff
This course will consist of a survey of the elementary arithmetic of the integers, including prime numbers and divisibility, factorization, congruences, diophantine equations, arithmetic functions, and cryptology. The focus will be on understanding and communicating number theoretic concepts through examples and written proofs. Additionally, elementary programming in a number-theoretic programming language (PARI/gp) will be taught and used in the exploration and solving of problems. Attention will also be given to the historical study of important problems.
Prerequisite: MATH 113

400 Senior Seminar 1 credit
Instructor: Snavely

Students independently pursue a significant problem under the guidance of a faculty member. Results are submitted in a written paper and presented orally for the department.

Prerequisite: Approval of department chair and selection of topic before the end of the previous term.

420 Methods and Materials in Teaching Mathematics 4 credits
Instructor: D. King

A study of teaching methods and instructional materials in mathematics. Special attention is given to the selection and organization of subject matter and learning activities. Field work required.

Prerequisite: Admission to the Teacher Education Program and to be nearly completed with the major.

450 Independent Study 2-4 credits
Instructor: All Mathematics Faculty

Independent study in a topic of interest in mathematics which does not duplicate any other course in the regular course offerings.

Prerequisite: Math 113 and instructor approval.

471 Topics in Mathematics 1-4 credits
Instructor: All Mathematics Faculty

An examination of topics such as topology, number theory, dynamical systems, game theory, history of mathematics, and logic.

Prerequisite: Math 113 and instructor approval.

490 Research in Mathematics 2-4 credits
Instructor: All Mathematics Faculty

An opportunity to conduct research in mathematics, culminating in a research paper.

Prerequisite: Math 113 and instructor approval.