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MATH 3350: Topics In Geometry
3.00 Credits
The University of Texas of the Permian Basin
Cross ratio, elementary transformations, Euclidean constructions, introduction to non-Euclidean geometry, and other topics in modern geometry.
Prerequisite:
MATH 3305
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MATH 3360: Intermediate Analysis
3.00 Credits
The University of Texas of the Permian Basin
Limits, continuity, uniform continuity, derivatives, integrals and mean value theorems.
Prerequisite:
MATH 3305
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MATH 4300: History of Computation
3.00 Credits
The University of Texas of the Permian Basin
History of mathematics from prehistoric to the present with emphasis on techniques and devices for computation.
Prerequisite:
MATH 2414
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MATH 4310: Vector Calculus
3.00 Credits
The University of Texas of the Permian Basin
The course will review multiple integrals covered in calculus III. Scalar and vector line integrals and Green's Theorem will be studied in detail. Conservative vector fields will be discussed. Then surface integrals and vector analysis of parameterized surfaces along with surface integrals will be the next topic studied. This will take us to Stokes's and Gauss's Theorems. Finally, differential forms, manifolds, and general Stokes Theorem.
Prerequisite:
MATH 2415 and MATH 3310
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Math 4320: Partial Differential Equations
3.00 Credits
The University of Texas of the Permian Basin
Study of second order linear and nonlinear partial differential equations and their applications. Emphasis on the heat, wave, and Laplace equations. Separation of variables and series solution methods in various coordinates systems.
Prerequisite:
MATH 2415 AND MATH 3310 AMD MATH 3320
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MATH 4325: Number Theory
3.00 Credits
The University of Texas of the Permian Basin
Basic properties of integers, including primes, unique factorization, divisibility congruencies, Euler's phi function, Diophantine equations and other selected topics.
Prerequisite:
MATH 3305
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MATH 4370: Analysis of Complex Variables
3.00 Credits
The University of Texas of the Permian Basin
Complex analysis including analytic functions, power series, residues and conformal mappings.
Prerequisite:
MATH 3360
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MATH 4389: Selected Topics
3.00 Credits
The University of Texas of the Permian Basin
Undergraduate courses which will be offered only once or will be offered infrequently or which are being developed before a regular listing in the catalog. May be acceptable for graduate credit.
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MATH 4390: Theory of Computation
3.00 Credits
The University of Texas of the Permian Basin
Turing machines, Church's thesis, recursive functions, computability and computational complexity.
Prerequisite:
COSC 3312 or MATH 3315
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MATH 4391: Contract Study
3.00 Credits
The University of Texas of the Permian Basin
Advanced independent study or research (equivalent to senior-level course). These courses will not count for graduate credit.
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