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Course Criteria
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3.00 Credits
Matrices and linear transformations and their generalizations in vector space theory are covered. Prerequisite: MATH 251 or instructor's permission
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3.00 Credits
A survey of foundations of mathematics essential to the secondary school teacher, this course integrates secondary mathematics concepts with problem-solving strategies and technology. Students expand on their understanding of core math concepts, evaluate lesson plans used in secondary school mathematics, discuss and reflect on effective mathematics pedagogy, analyze readings in the field, engage in collegial interactions with the instructor and fellow students, and develop a repertoire of classroom-tested lessons that can be used in a high school classroom.
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3.00 Credits
This course provides a study of Euclidean and non-Euclidean geometry. Also covered are the history of geometry, hyperbolic geometry, space, proof, and logic reasoning. Prerequisite: MATH 252 or instructor's permission
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4.00 Credits
Students are introduced to differential equations, existence and structures of solutions, and applications to physical situations. A computer laboratory approach is used. Prerequisite: MATH 252
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3.00 Credits
Students gain an introduction to the basic ideas and techniques of probability: counting methods, combinatorics, statistical methods, binomial and normal distributions, moments, correlations, Central Limit Theorem, and hypothesis testing. Prerequisite: MATH 252 or instructor's permission
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3.00 Credits
The abstract structure of algebraic systems such as semi-groups, groups, rings, integral domains, and fields are introduced. Prerequisite: MATH 300 or instructor's permission
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3.00 Credits
Students apply mathematics to physical problems: special functions, Green's functions and boundary-value problems, tensor analysis, Fourier series, generalized coordinates, and calculus of variations. The course may be applied toward upper-division physics or mathematics major requirements. Prerequisites: MATH 253 and MATH 350
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3.00 Credits
This course offers an advanced study of the real-number system, functions, sequences, series, continuity, differentiation, and integration. Prerequisite: MATH 252
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3.00 Credits
The history of mathematics and number theory from ancient times to the present is covered through methods and concepts, including theorems of Format, Euler, divisibility, factorization, primes, congruencies, diophantine problems, and other topics.
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3.00 Credits
Students explore the structure of complex numbers and their functions, differentiation and integration of complex functions, and Cauchy's Theorem. Prerequisite: MATH 252
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