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Course Criteria
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3.00 Credits
3 hours--Prereq.: 2713. Topics include rational numbers; decimals and applications; real numbers; probability; statistics. Estimation, problem solving, and algebraic thinking are integrated throughout the course. Open only to education majors.
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5.00 Credits
5 hours--Prereq.: 1713; 1513 or 1614 or 1653. An introduction to analytic geometry, functions and limits, differentiation of algebraic functions and applications, indefinite integrals, and definite integrals and applications. (Note: Degree credit not allowed in both MATH 2825 and 2613)
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1.00 - 4.00 Credits
1 to 4 hours--Prereq.: Departmental approval. Directed study on special subject or problem
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5.00 Credits
5 hours--Prereq.: 2825 or departmental approval. Techniques of integration, applications of definite integrals, L'Hopital's Rule, improper integrals, partial fractions, infinite series, and parametric, vector and polar functions
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3.00 Credits
3 hours--Prereq.: 3025 or departmental approval. Vector and Analytic Geometry, Vector-valued functions, functions of several variables, partial derivatives, multiple integrals, integration in vector fields
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3.00 Credits
n 3 hours--Prereq.: 3025 or departmental approval. An introduction to symbolic logic, set theory, relations, functions, divisibility properties of integers, prime numbers, and congruences. Particular emphasis will be placed on the construction of mathematical proofs.
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3.00 Credits
3 hours--Prereq.: 3025, 3093. Advanced topics from Euclidean and non-Euclidean geometries
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3.00 Credits
3 hours--Prereq.: 2613, 2825 or departmental approval. Elementary operations in matrix algebra, determinants, inverse of a matrix, rank and equivalence, linear equations and linear dependence, vector spaces and linear transformations, and characteristic equations of a matrix
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3.00 Credits
3 hours--Prereq.: 2825. A study of the positive integers and their properties. Topics will include: postulates for the positive integers, mathematical induction, the Well-Ordering principle, divisibility properties of integers, prime numbers, congruences, number theoretic functions, Diophantine Equations, continued fractions, and algebraic numbers.
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3.00 Credits
n 3 hours--Prereq.: 2213 and 3025, or departmental approval. A study of advanced probability theory including counting techniques, permutations, and combinations, properties of random variables with emphasis on density functions, expected values, estimators, moments and moment generating functions, and discrete and continuous probability distributions
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