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Course Criteria
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3.00 Credits
The analysis of finite step-by-step processes. It develops reasoning skills, enhances software-writing abilities and introduces elementary computer circuitry. Topics include Boolean algebra, digital logic circuits, the nature of valid argument, mathematical induction, recursive sequences, and counting techniques, including combinatorics methods. Many class examples will be drawn from computer science. Prerequisite: MATH 135 (grade of C- or better), MATH 171 placement or consent. Identical to CS 205. Offered each spring. Recommended spring freshman year.
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3.00 Credits
The study of linear equations in several variables. Students develop the theoretical structure underlying answers to the questions: When does a solution for a system of linear equations exist? When is it unique? How do we find it? How can we interpret it geometrically? Topics include vectors spaces, linear independence, bases, dimension, transformations, matrices, determinants, and applications. Prerequisite: MATH 172 or consent. Offered each fall.
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3.00 Credits
An introductory course in applied data analysis. Emphasis will be on interpretation of statistical measures and procedures. Statistical software is used extensively for analyzing real data sets from various contexts. Topics include measures of location, dispersion, correlation, parametric and nonparametric tests, simple and multiple regression, and ANOVA. Prerequisite: MATH 106, 136 or consent. Offered each spring.
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1.00 Credits
Designed to allow qualified students to assist math instructors in the teaching of their classes. Although MATH 300 will prove to be useful for those students seeking secondary education certification, enrollment is not open solely to them. Enrollment is by invitation of the MATH/CS department. A student may enroll for MATH 300 more than once, but may apply no more than a total of three semester hours earned in this manner toward graduation. This course cannot be used to satisfy mathematics major or minor requirements, although one semester hour of MATH 300 is required for secondary education certification. Prerequisite: consent. Offered each semester.
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3.00 Credits
Topics include functions of several variables, curves, surfaces, partial differentiation, multiple integrals and vector analysis. Prerequisite: MATH 217 or PHYS 221 or consent. Offered spring of even-numbered years.
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3.00 Credits
Explores the theory and applications of ordinary differential equations and their solutions. Topics include linear and non-linear first order equations, higher order linear equations, series solutions, systems of linear differential equations, Laplace transforms and numerical methods. Prerequisite and/or corequisite: MATH 217 or PHYS 221 or consent. Offered on demand.
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3.00 Credits
The meaning, basic concepts, and applications of probability are explored. Topics include classical, empirical, subjective, and axiomatic probability, random variables, probability measures, distributions, density functions, expectation and standard deviation and their physical interpretation, conditional probability, independence, counting techniques, binomial, Poisson, and normal distributions. Prerequisite: MATH/CS 205. MATH 172, and 303 are recommended. Offered on demand.
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3.00 Credits
Introduces algebraic structures in modern algebra with particular emphasis on groups and their properties. This course satisfies the oral competency requirement for mathematics majors. Prerequisites: CS/MATH 205 and MATH 217. Offered spring of even-numbered years.
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3.00 Credits
A theoretical treatment of sets, relations, functions, numbers, inequalities, sequences, series, limits, and the derivative. Prerequisites: MATH 205 and one 300-level math course other than MATH 300. Offered fall of evennumbered years.
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3.00 Credits
Explores Euclidean and non-Euclidean geometries. The cultural impact of non-Euclidean geometries is discussed. Topics include geodesics, plane geometry, including non- Euclidean geometries, finite geometries, complex numbers, and geometric transformations. Prerequisites: MATH 205, 217 or consent. Offered spring of odd-numbered years.
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