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Course Criteria
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3.00 Credits
An introduction to mathematics that affects political, sociological and economic situations in modern society. Topics such as voting systems, fairness conditions, power indices, fair division methods and their applications, apportionment methods, Euler and Hamilton circuits and their applications, networks, scheduling, elementary game theory. Prerequisite: IQL-101. Spring.
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3.00 Credits
Rigorous treatment of Euclidean and non-Euclidean geometries. Synthetic, analytic, and transformational approaches. Axiomatic systems, parallel postulates, congruence, similarity. Incorporates the historical development of geometry and the use of geometry software. Prerequisite: Grade C or higher in MATH 225. Spring.
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3.00 Credits
Theory and applications of properties of the integers. Mathematical induction, divisibility, division algorithm, congruencies, greatest common divisor, least common multiple, primes, Fundamental Theorem of Arithmetic, and Pythagorean triples. Also considers historical background and famous numbertheoretic conjectures. Prerequisite: Grade C or higher in MATH 225. Fall.
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3.00 Credits
A second course in probability and mathematical statistics addressing in depth such topics as the Central Limit Theorem, Chebyshev's theorem, covariance, multiple regression, ANOVA, nonparametric methods, and applications of probability distributions. Prerequisite: Grade C or higher in MATH 241. Spring, even years.
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3.00 Credits
An introductory course in numerical analysis addressing the topics of error analysis, order of convergence, computational efficiency, and programming of algorithms. Explores methods such as numerical integration, numerical linear algebra, numerical solution of ordinary differential equations, interpolation, curve fitting, and optimization. Prerequisites: CS 140 and MATH 152. Spring, odd years.
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3.00 Credits
A study of analytical and numerical solution methods for ordinary and partial differential equations. Includes series solutions and special functions for the solution of ODEs and the use of Fourier series to solve PDEs. Transform and numerical methods for solving ODEs and PDEs are introduced. Prerequisite: MATH 231. Fall.
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3.00 Credits
This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with calculus or lower-level mathematics. The types of models will include both deterministic and stochastic models. Spreadsheet software will be used throughout the course. Prerequisites: IQL 101 and MATH 151. Spring, even years.
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3.00 Credits
Focuses on the use in the middle school of statistics, discrete mathematics, set theory, number theory, and probability to obtain solutions to realistic problems, and on the teaching of algebra through physical models. Prerequisite: MATH 275. Occasionally.
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8.00 Credits
The focus is on building algebraic thinking with an emphasis on modeling real-world phenomena and the meanings represented by algebraic expressions. Topics include linear relationships; slope; linear, quadratic, and exponential functions. Connections will be drawn between algebra and geometry through patterns and other areas of overlap. Prerequisite: MATH 337. Spring.
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3.00 Credits
A senior-level course in mathematical reasoning, problem solving, and communication. Topics vary at instructor's discretion. Students will make connections and integrate previous learning, develop mathematical literacy through reading and interpreting mathematical literature, and prepare and present written and oral reports on mathematical topics. Prerequisite: MATH 300. Fall.
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