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MATH 4290: SPECIAL TOPICS IN MATHEMATICS
2.00 Credits
University of Houston-Downtown
Intensive study of one or more major topics in mathematics. Course may be repeated for credit with department approval.
Corequisite:
Department approval
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MATH 4294: SENIOR SEMINAR
2.00 Credits
University of Houston-Downtown
An intense, structured seminar. Students are exposed to the world community as it relates to their major (involving a written and oral report on cultural issues as well as discussion of these topics); ethics is discussed as it relates to the subject. In addition, students prepare a written proposal for a senior project. Attendance at departmental colloquia is also required. Cross-listed as CS 4294, STAT 4294. Credit may not be earned for more than one.
Corequisite:
COMM 1304, ENG 3302, senior standing, a passing score on the WPE, and department approval
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MATH 4301: ADV NUM MTD FOR SCI & ENGR
3.00 Credits
University of Houston-Downtown
Advanced topics in numerical mathematics, including the numerical solution of ordinary and partial differential equations and advanced methods in numerical linear algebra. Programming projects are stressed that use the computer to solve physical and engineering problems. This course may be used to fulfill the writing application course requirement with additional prerequisites of CS 4294, ENG 3302 and COMM 1304.
Corequisite:
Grade of C or better in MATH 3308, MATH 2403 and MATH 3301
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MATH 4302: ADV MULTVAR CAL
3.00 Credits
University of Houston-Downtown
Differentiability of real and vector valued functions; coordinate transformation in multiple integrals (Jacobian); line and surface integrals of real and vector-valued functions; Implicit Function Theorem; Green┐s, Stoke┐s and Divergence Theorems.
Corequisite:
Grade of C or better in MATH 2307 and MATH 2403
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MATH 4304: METHODS OF APPLIED MATHEMATICS
3.00 Credits
University of Houston-Downtown
Major topics include: Fourier series, Laplace transforms and partial differential equations, with emphasis on physical problems.
Corequisite:
A grade of C or better in MATH 2403 and MATH 3301
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MATH 4305: HIGHER MATH FOR SCI & ENGR II
3.00 Credits
University of Houston-Downtown
Analytic functions, power series, the theory of residues, conformal mapping and applications to physical problems.
Corequisite:
A grade of C or better in MATH 2403 and MATH 3301
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MATH 4312: HISTORY OF APPLIED MATH
3.00 Credits
University of Houston-Downtown
The course traces the development of mathematics and its applications from the Greek mathematicians through the modern age including the development of computer techniques in applied mathematics. This course may be used to fulfill the writing application course requirement with additional prerequisites CS/MATH 4294, ENG 3302 and COMM 1304.
Corequisite:
Grade of C or better in MATH 2401 or MATH 1306 and department approval
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MATH 4315: MATHEMATICAL MODELING
3.00 Credits
University of Houston-Downtown
The goal of this course is to impart to students the excitement and usefulness of mathematics and computer science as fundamental tools in solving real-world problems. The course focuses on functions as models for phenomena, on the development of a repertoire of techniques to be used in modeling, and on the interpretation and validation of the mathematical model. The course will provide students in mathematics, statistics, computer science, natural science or engineering the opportunity for undergraduate research. A term project using software will be required.
Corequisite:
A grade of C or better in MATH 3301
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MATH 4333: THEORY AND APPL OF NEURAL NETS
3.00 Credits
University of Houston-Downtown
Introduction to basic concepts of neural networks used in supervised and unsupervised learning. Several learning rules and algorithms will be presented along with applications. Cross-listed as CS 4333. Credit may not be earned for both.
Corequisite:
A grade of C or better in MATH 2407, MATH 2403, and CS 2310
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MATH 4334: FUZZY LOGIC
3.00 Credits
University of Houston-Downtown
This course will cover important ideas in the theory and applications of fuzzy logic as operations on fuzzy sets, alpha cuts, possibility measure, ruled based computations, associative memories and other topics as time permits. Cross-listed as CS 4334. Credit may not be earned for both.
Corequisite:
A grade of C or better in CS 2310 and MATH 2407
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