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MTSC 641: COMBINATORICS
3.00 Credits
Delaware State University
The student will be introduced to the theory involved in combinatorial reasoning. The two (2) combinatorial theories of enumeration and graph theory will be developed. Students will apply combinatorial reasoning to problems in the analysis of computer systems, in discrete operations research and in finite probability.Credit, three hours.
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MTSC 641 - COMBINATORICS
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MTSC 651: PARTIAL DIFFERENTIAL EQUATIONS
3.00 Credits
Delaware State University
The course is designed to acquaint students to Classifications of Partial Differential Equations, Methods of Solution for the Wave Equation, Laplace's Equation, and the Heat Equation.Prerequisites: A second course in Ordinary Differential Equations.Credit, three hours.
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MTSC 651 - PARTIAL DIFFERENTIAL EQUATIONS
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MTSC 661: NUMERICAL ANALYSIS
3.00 Credits
Delaware State University
The student should become familiar with advanced techniques for solving numerically large problems in Linear Algebra. In particular, students should become familiar with the effects of ill conditioning, and of ways in which special information about matrices, such as sparsity can be used. An important part of all of this is the consideration of error from various sources and ways of controlling its accumulation.Prerequisites: MTSC 313.Credit, three hours.
Prerequisite:
MTSC 313
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MTSC 661 - NUMERICAL ANALYSIS
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MTSC 663: TOPICS IN APPLIED MATHEMATICS
3.00 Credits
Delaware State University
This course leads students into mathematics applications and research in applied mathematics. Detailed description and specific topics of the course will be given by the Instructor. The course is offered in alternate semesters.Prerequisites: Consent of the Instructor.Credit, three hour.
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MTSC 663 - TOPICS IN APPLIED MATHEMATICS
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MTSC 698: MASTERS SUSTAINING THESIS
6.00 Credits
Delaware State University
Upon completion of all courses and research, this course is used to maintain registration until graduation. Credit, none.
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MTSC 698 - MASTERS SUSTAINING THESIS
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MTSC 699: THESIS OR DIRECTED PROJECT 6
3.00 - 6.00 Credits
Delaware State University
A student may register three (3) or six (6) hours thesis with the approval of his/her thesis advisor.Credit, three to six hours.
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MTSC 699 - THESIS OR DIRECTED PROJECT 6
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MTSC 821: SCIENTIFIC COMPUTATION I
3.00 Credits
Delaware State University
The student should become familiar with matrix analysis and matrix computation.Credit, three hours.
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MTSC 821 - SCIENTIFIC COMPUTATION I
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MTSC 822: SCIENTIFIC COMPUTATION II
3.00 Credits
Delaware State University
The student should become familiar with numerical approximations such as finite element methods in computational electromagnetism.Credit, three hours.
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MTSC 822 - SCIENTIFIC COMPUTATION II
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MTSC 845: THEORY OF SOLITONS
3.00 Credits
Delaware State University
The aim of the course is to introduce the basic concepts of the mathematical aspects of Soliton Theory. This will include the derivation and the introduction to the Korteweg-de Vries equation; the travelling wave solution, Inverse Scattering Transform; N-soliton solution; Lax pair; Integrals of Motion; Hirota's bilinear method; Backlund Transform; AKNS (Ablowitz, Kaup, Newell and Segur) scheme; Zakharov-Shabat scheme; Painleve transcedents; Painleve conjecture; perturbation of solitons; adiabatic parameter dynamics; Topological solitons, kinks and anti-kinks, breathers, phonons, skyrimions; Chiral solitons. Credit, three hours.
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MTSC 851: ORDINARY DIFFERENTIAL EQUATIONS
3.00 Credits
Delaware State University
The purpose of the course is to present techniques of solving ordinary differential equations. The students should become familiar with Boundary Value Problems, Systems of Ordinary Differential Equations, and Phase Diagrams and Stability.Credit, three hours.
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MTSC 851 - ORDINARY DIFFERENTIAL EQUATIONS
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