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Course Criteria
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4.00 Credits
4 cr. This course consists of two portions. Secondary planning for mathematics instruction includes classroom observations and the study of mathematics curriculum, assessment, teaching methods and resources for teaching and learning aids. Highlights ofmath related to high school teaching revisit some important concepts in core math courses. Prerequisites: completion of at least five mathematics courses in the major programincluding Cal. II and DiscreteMath I. Co-requisite: EDU 3800.
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1.00 Credits
1 cr. Introduces students to the culture of a high school environment. They observe and assist amath teacher, interview school personnel, talk with students, and teach technology-integrated math lessons and content area reading strategies. Assessment practices are observed and practiced.Co-requisite:MTH 3533.
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4.00 Credits
4 cr. Introduction to groups, ring and field theory; group homomorphism and isomorphism, Caley's theorem, and quotient groups,LaGrange's theorem; rings, ideals, ring homomorphismand basic properties of fields.Prerequisite: MTH 3322 or instructor's permission.
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1.00 - 4.00 Credits
1-4 cr. Study of mathematics topics of particular interest to teachers of mathematics.
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2.00 Credits
2 cr. Extensions of elementary investigations included in MATH 2401. Students study set theory including principle of inclusion-exclusion; advanced counting techniques and combinatorics; recurrence relations including solving homogeneous linear difference equations; Boolean algebra; graph theory including investigation of isomorphic and homomorphic graphs. Prerequisite: MTH 2401.
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4.00 Credits
4 cr. Theory for error analysis, numerical methods for solving algebraic equations, differentiation and integration, interpolation and approximation to functions, and solving initial value problems of differential equations. Prerequisites: MTH 2222 and MTH 3322. Students are encouraged to take MTH 3323 before taking MTH 4405.
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4.00 Credits
4 cr. A survey course in mathematical probability and statistics. It includes probability distributions and densities, mathematical expectations, functions of random variables, introduction to estimation theory and hypothesis testing and applications. Prerequisite: MTH 2222.
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2.00 Credits
2 cr. Study of multivariate distributions, theory of estimation, hypotheses testing, and statistical inference and their applications. Prerequisites: MTH 4411 and MTH 3321.
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4.00 Credits
4 cr. Introduction to real analysis. It includes completeness of the real number system, topology of the real line, sequences, convergence, limits, continuity,differentiability and the Riemann integral, the Fundamental Theorem of Calculus. Prerequisites: MTH 3321,MTH 3322.
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2.00 Credits
2 cr. Sequences of functions, uniform convergence, the Bounded Convergence Theorem, infinite series, topology of the set of real numbers, Heine-Birel Theorem and metric spaces. Prerequisite: MTH 4421.
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