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MATH 2350: Foundations of Elementary Mathematics II
3.00 Credits
The University of Texas of the Permian Basin
Concepts of geometry, probability, and statistics, as well as applications of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem-solving and critical thinking. The course is designed specifically for students who seek middle grades (4-8) teacher certification.
Prerequisite:
(Completion of MATH 1350 with a grade of C or better) and MATH 1314
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MATH 2413: Calculus I
4.00 Credits
The University of Texas of the Permian Basin
Differentiation of functions of one variable, introduction to integration.
Prerequisite:
MATH 2412 or (satisfactory score on placement examination)
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MATH 2413 - Calculus I
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MATH 2414: Calculus II
4.00 Credits
The University of Texas of the Permian Basin
Continuation of MATH 2413. Integration of transcendental functions, techniques of integration, sequences and series.
Prerequisite:
MATH 2413
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MATH 2415: Calculus III
4.00 Credits
The University of Texas of the Permian Basin
Continuation of MATH 2414, Vector and multivariate calculus, transformations of coordinates. Green's and Stokes' Theorem.
Prerequisite:
MATH 2414
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MATH 3301: Statistics
3.00 Credits
The University of Texas of the Permian Basin
Basic concepts and applications of probability, descriptive and inferential statistics, and linear regression. Computer laboratory assignments.
Prerequisite:
MATH 2414
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MATH 3305: Mathematical Reasoning
3.00 Credits
The University of Texas of the Permian Basin
Logic methods of proof, set theory, relations, functions, cardinality. Algebraic properties of the real, rational, and integer number systems.
Prerequisite:
MATH 2414
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MATH 3308: Theory of Numeration
3.00 Credits
The University of Texas of the Permian Basin
This course introduces theoretical issues behind the standard conventions for writing natural numbers, fractions, and real numbers. Topics include basic set theory, arithmetic as counting, uniqueness of prime factorization, and infinite decimal notation.
Prerequisite:
MATH 3305 or )permission of the instructor.)
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MATH 3310: Linear Algebra
3.00 Credits
The University of Texas of the Permian Basin
Vectors, vector spaces, matrices, linear transformations, eigenvalues, eigenvectors, canonical forms and their applications.
Prerequisite:
MATH 2414
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MATH 3315: Algebraic Structures
3.00 Credits
The University of Texas of the Permian Basin
Sets, groups, rings and fields, with applications to the ring of integers and polynomial rings.
Prerequisite:
MATH 3305 or (permission of instructor. )
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MATH 3320: Differential Equations
3.00 Credits
The University of Texas of the Permian Basin
Ordinary differential equations including power series, Laplace transform methods and systems of linear differential equations with applications. Special emphasis on existence and uniqueness of solutions.
Prerequisite:
MATH 2414
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