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Course Criteria
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3.00 Credits
Systems of linear equations, determinants, vectors and vector spaces, linear transformations, eigenvalues and eigenvectors, quadratic forms. Three lecture hours and two discussion hours (MATH 2018) per week. Credit given for only one of MATH 2333 or 2418. Prerequisite: MATH 2414 or MATH 2419 or consent of instructor. Corequisite: MATH 2018. (4-0) S
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3.00 Credits
Continuation of MATH 2417. Improper integrals, sequences, infinite series, power series, parametric equations and polar coordinates, vectors, vector-valued functions, functions of several variables, partial derivatives and applications, multiple integration. Three lecture hours and two discussion hours (MATH 2019) a week. Prerequisite: A score of at least 4 on the Advanced Placement Calculus BC exam or a grade of at least a C- in MATH 2417. Corequisite: MATH 2019. (4-0) S
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3.00 Credits
Topics covered will be drawn from the following list: First order differential equations, ordinary differential equations, system of linear differential equations, stability, series solutions, special functions, Sturm-Liouville problem, Laplace transforms and linear differential equations and applications in physical sciences and engineering using computers. Three lecture hours and two discussion hours (MATH 2020) per week. Prerequisite: MATH 2419. Corequisite: MATH 2020. (4-0) S
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4.00 Credits
Vectors, matrices, vector functions, partial derivatives, divergence, curl, Laplacian, multiple integrals, line and surface integrals, Green's, Stoke's, and Gauss's theoremsand applications in physical sciences and engineering. Three lecture hours and two discussion hours (MATH 2051) per week. Prerequisite: MATH 2415 or MATH 2419. Corequisite: MATH 2051. (4-0) S
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1.00 - 6.00 Credits
Special topics in mathematics outside the normal course of offerings. May be repeated for credit as topics vary (9 hours maximum). Consent of instructor required. ([1-6] -0) S
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3.00 Credits
This course is intended to develop future teacher's depth of mathematical understanding by examining concepts in school mathematics from an advanced perspective. Topics include: numeration systems; arithmetic algorithms, prime factorization and other properties of the integers; proportional reasoning involving fractions and decimals; counting methods; and basic ideas of geometry and measurement. Problem solving is stressed. Cannot be used to satisfy: [1] undergraduate mathematics core requirement, [2] degree requirements by students in Mathematical Sciences, [3] the advanced electives, or [4] certification requirements in 8-12 mathematics. Prerequisite: MATH 1306 or MATH 1314 or equivalent course. (3-0) S
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3.00 Credits
An introduction to construction, use, and analysis of empirical and analytical mathematical models. Emphasis on using appropriate technology with tools such as curve fitting, probability and simulation, difference and differential equations, and dimensional analysis. Cannot be used to satisfy mathematics requirements by students in Mathematical Sciences and cannot be used to satisfy the advanced electives. Prerequisites: MATH 2419 and 2418. (3-0) Y
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3.00 Credits
An analysis, from an advanced perspective, of the basic concepts and methods of geometry and measurement. Topics include visualization, geometric figures and their properties; transformations and symmetry; congruence and similarity; coordinate systems; measurement [especially length, area, and volume]; and geometry as an axiomatic system. Emphasis on problem solving and logical reasoning. Cannot be used to satisfy: [1] undergraduate mathematics core requirement, [2] degree requirements by students in Mathematical Sciences, [3] the advanced electives, or [4] certification requirements in 8-12 mathematics. Prerequisite: MATH 2312, MATH 3301 or equivalent course. (3-0) Y
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3.00 Credits
Development of the ability to solve mathematical problems and communicate their solutions through the study of strategies and heuristics. Practice in solving problems involving ideas from number theory, algebra, combinatorics and probability, etc. Communicating mathematics, logical reasoning, and connections between mathematical topics will be emphasized. Cannot be used to satisfy degree requirements by students in Mathematical Sciences or the advanced electives. Prerequisites: MATH 2312 and MATH 3305 or MATH 3321. (3-0) Y
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3.00 Credits
Mathematical theory of calculus. Limits, types of convergence, power series, differentiation, and Riemann integration. Prerequisite: MATH 2419. (3-0) Y
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