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MTH 222: Calculus II
4.00 Credits
University of Pikeville
A study of exponential and logarithmic functions, applications of the integral to finding volumes, arc lengths, surface areas, and centroids, techniques of integration, polar coordinates, and indeterminate forms Prerequisite: MTH 121.
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MTH 222 - Calculus II
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MTH 223: Calculus III
4.00 Credits
University of Pikeville
A study of infinite series, parametric equations, vectors in the plane, curves and surfaces in space, partial derivatives, and multiple integrals Prerequisite: MTH 222.
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MTH 223 - Calculus III
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MTH 251: Discrete Mathematics
3.00 Credits
University of Pikeville
A study of the elements of sets, set operations, mathematical induction, basic counting techniques, and recurrence relations Prerequisite: MTH 113 or higher.
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MTH 251 - Discrete Mathematics
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MTH 290: Special Topics
1.00 - 4.00 Credits
University of Pikeville
A study of a selected topic of special interest The topic may differ each time the course is offered and may be proposed by either the instructor or by the student May be taken for credit any number of times, provided a different topic is offered each time. Prerequisite: Consent of Instructor.
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MTH 290 - Special Topics
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MTH 299: Directed Study
1.00 - 3.00 Credits
University of Pikeville
Individual basic study of a selected topic in mathematics, under the direction of a member of the faculty Normally open only to students who have completed all regularly offered courses in the mathematics major Prerequisites: Consent of the Instructor, Division Chair, and Dean of the College.
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MTH 299 - Directed Study
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MTH 303: Introduction to Abstract Mathematics
3.00 Credits
University of Pikeville
An introduction to abstract mathematics and proofs by means of a study of selected topics in elementary number theory Prerequisite: MTH 222 or a prerequisite of MTH 251 and a corequisite of MTH 222.
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MTH 303 - Introduction to Abstract Mathematics
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MTH 305: History of Mathematics
3.00 Credits
University of Pikeville
A chronological presentation of the development of the science of mathematics, with emphasis placed on the significant problems, inconsistencies, and discoveries that led to the growth of the field of mathematics Prerequisite: MTH 223.
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MTH 305 - History of Mathematics
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MTH 307: Complex Variables
3.00 Credits
University of Pikeville
Functions, limits, continuity, differentiation, and integration of functions of a complex variable are examined Also, contour integration and applications to physics and mechanics are presented Prerequisite: MTH 223.
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MTH 307 - Complex Variables
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MTH 320: Introduction to Numerical Methods
3.00 Credits
University of Pikeville
Algorithms for the solution of numerical problems implemented on micro-computers; includes discussion of error, polynomial interpolation, solution of nonlinear equations, and numerical integration Prerequisites: MTH 222 and either CS 112 or 221 Crosslisted as CS 320.
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MTH 322: Differential Equations
3.00 Credits
University of Pikeville
A study of simple types of ordinary differential equations of the first order and higher orders, series solutions, LaPlace transforms, and applications Prerequisite: MTH 223.
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MTH 322 - Differential Equations
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