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| 103 |
Applied Mathematics |
4 credits |
| Instructor: All Mathematics Faculty |
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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.
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| Prerequisite:
Departmental placement exam or satisfactory performance in GNRL 070 Computational Skills.
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| 104 |
Principles of Modern Mathematics |
4 credits |
| Instructor: All Mathematics Faculty |
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An introduction to set theory, problem-solving, geometry, algebra, probability and statistics, with selected applications for each. The course satisfies teacher certification requirements.
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| Prerequisite:
Departmental placement exam or satisfactory performance in GNRL 070 Computational Skills.
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| 105 |
Functions, Graphs, and Analysis |
4 credits |
| Instructor: All Mathematics Faculty |
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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.
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| Prerequisite:
Placement exam or GNRL 070 Computational Skills.
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| 106 |
Elementary Statistics |
4 credits |
| Instructor: All Mathematics Faculty |
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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.
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| Prerequisite:
Placement exam or GNRL 070 Computational Skills.
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| 107 |
Finite Mathematics |
4 credits |
| Instructor: All Mathematics Faculty |
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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.
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| Prerequisite:
Placement exam or GNRL 070 Computational Skills.
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| 112 |
Calculus I |
4 credits |
| Instructor: Chell, Klyve, Snavely, Wheeler, Tou, Trautwein |
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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.
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| Prerequisite:
Departmental placement exam or Math 105.
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| 113 |
Calculus II |
4 credits |
| Instructor: Chell, Klyve, Snavely, Wheeler, Trautwein, Tou |
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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.
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| Prerequisite:
Math 112 with "C" or better or departmental approval.
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| 121 |
Discrete Structures |
4 credits |
| Instructor: Chell, Klyve, Snavely, Wheeler, Trautwein, Tou |
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A study of logic, proofs, and sets; graphs, digraphs, trees, colorings, and traversal; permutations and combinations; binomial coefficients; and recurrence relations.
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| Prerequisite:
Math 112 or departmental approval.
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| 200 |
Linear Algebra |
4 credits |
| Instructor: Trautwein |
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An examination of linear equations, matrices, vector spaces, transformations, and eigensystems.
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| Prerequisite:
Math 113.
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| 205 |
Modern Geometry |
4 credits |
| Instructor: Wheeler, Tou, Trautwein |
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An introduction to the branches of geometry including plane, solid, higher dimensional, fractal, transformational, non-Euclidean, and combinatorial.
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| Prerequisite:
Math 112.
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| 212 |
Multivariate Calculus |
4 credits |
| Instructor: Tou, Trautwein |
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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.
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| Prerequisite:
Math 113 or departmental approval.
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| 230 |
Mathematics of Actuarial Science |
4 credits |
| Instructor: Snavely |
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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:
- Limits, series, sequences, and functions,
- Derivatives of single and multivariate functions (maximums, minimums, constrained maximums and minimums, rate of change),
- Integrals of single and multivariate functions, simple differential equations,
- Parameterized curves,
- General probability (set functions, basic axioms, independence),
- Bayes' Theorem,
- Univariate probability distributions (probabilities, moments, variance, mode, percentiles, transformations),
- Multivariate probability distributions (Central Limit Theorem; joint, conditional and marginal distributions-probabilities, moments, variance, covariance),
- Theory of interest and finance.
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| Prerequisite:
Math 113, Math 121
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| 271 |
Topics in Mathematics |
1-4 credits |
| Instructor: All Mathematics Faculty |
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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.
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| 303 |
Theory of Probability |
4 credits |
| Instructor: Wheeler, Snavely |
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An introduction to discrete probability including combinations and permutations; conditional probability and independence; random variables; and expectation.
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| Prerequisite:
Math 113.
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| 304 |
Theory of Statistics |
4 credits |
| Instructor: Klingenberg |
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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.
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| Prerequisite:
Math 113.
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| 306 |
Differential Equations |
4 credits |
| Instructor: Snavely, Wheeler |
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A study of common types of ordinary differential equations, their solutions and applications, singular solutions, and an introduction to mathematical modeling.
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| Prerequisite:
Math 113.
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| 307 |
Engineering Mathematics |
4 credits |
| Instructor: Wheeler |
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A study of differential equations, partial differential equations, vector analysis, Laplace transforms, Fourier transforms, and vector analysis. Most spring semesters.
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| Prerequisite:
Math 306.
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| 309 |
Real Analysis |
4 credits |
| Instructor: Snavely |
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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.
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| Prerequisite:
Math 200 or instructor approval.
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| 310 |
Complex Variables |
4 credits |
| Instructor: Snavely |
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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.
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| Prerequisite:
Math 200 or instructor approval.
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| 322 |
Abstract Algebra I |
4 credits |
| Instructor: Chell, Klyve, Tou, Trautwein |
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A study of groups, Lagrange's theorem, normal subgroups, fields, rings, integral domains, subrings, ideals, and vector spaces.
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| Prerequisite:
Math 200.
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| 323 |
Abstract Algebra II |
4 credits |
| Instructor: Chell, Klyve, Tou, Trautwein |
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A continuation of Abstract Algebra I, concentrating on topics in ring theory and field theory, including applications. Specially arranged, odd numbered years.
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| Prerequisite:
Math 322.
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| 330 |
Number Theory |
4 credits |
| Instructor: Staff |
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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.
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| Prerequisite:
MATH 113
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| 400 |
Senior Seminar |
1 credit |
| Instructor: Snavely |
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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.
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| Prerequisite:
Approval of department chair and selection of topic before the end of the previous term.
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| 420 |
Methods and Materials in Teaching Mathematics |
4 credits |
| Instructor: D. King |
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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.
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| Prerequisite:
Admission to the Teacher Education Program and to be nearly completed with the major.
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| 450 |
Independent Study |
2-4 credits |
| Instructor: All Mathematics Faculty |
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Independent study in a topic of interest in mathematics which does not duplicate any other course in the regular course offerings.
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| Prerequisite:
Math 113 and instructor approval.
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| 471 |
Topics in Mathematics |
1-4 credits |
| Instructor: All Mathematics Faculty |
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An examination of topics such as topology, number theory, dynamical systems, game theory, history of mathematics, and logic.
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| Prerequisite:
Math 113 and instructor approval.
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| 490 |
Research in Mathematics |
2-4 credits |
| Instructor: All Mathematics Faculty |
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An opportunity to conduct research in mathematics, culminating in a research paper.
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| Prerequisite:
Math 113 and instructor approval.
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