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MTSC 504: MODERN GEOMETRY
3.00 Credits
Delaware State University
The course covers Menelaus and Ceva's Theorem, Cross Ratio, Elementary Transformations, Euclidean Constructions, and Non-Euclidean Geometry. The course illustrates to the students the strength of deductive reasoning in proofs involving Euclidean axioms and transformation theory. The student will also be familiar with Non-Euclidean Geometry.Prerequisites: MTSC 303 with minimum grade of "C". Credit, three hours.
Prerequisite:
MTSC 303
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MTSC 504 - MODERN GEOMETRY
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MTSC 511: INTRODUCTION TO ABSTRACT ALGEBRA
3.00 Credits
Delaware State University
The course is concerned with the basic theory of some of the important algebraic systems such as groups, rings and fields with emphasis on homomorphism, isomorphism, integral domain, extension fields, and Galois groups.Credit, three hours.
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MTSC 511 - INTRODUCTION TO ABSTRACT ALGEBRA
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MTSC 521: GENERAL TOPOLOGY
3.00 Credits
Delaware State University
The purpose of the course is to give the students the basic concepts of topology and lead them to algebraic topology. The course also presents as a related discipline to the proper understanding of various branches of analysis and geometry. The students should become familiar with topological spaces, point-set topology and homotopy theory.Prerequisites: MTSC 451, MTSC 452.
Corequisite:
Credit, three hours. MTSC 451 AND MTSC 452
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MTSC 521 - GENERAL TOPOLOGY
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MTSC 531: NUMBER THEORY
3.00 Credits
Delaware State University
The course, Number Theory, is an introduction to the study of basic properties of
Prerequisite:
integers which allows one to demonstrate how various areas of mathematics play a role in the study of properties of natural numbers. The course is flexible and fundamental enough to be taken by Math and Math Ed Majors.Credit, three hours.
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MTSC 531 - NUMBER THEORY
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MTSC 541: ADVANCED PROBABILITY THEORY
3.00 Credits
Delaware State University
The course covers the mathematical structure of probability theory with applications of the theory from a wide variety of experimental situations.Prerequisites: MTSC 253 with a minimum grade of "C".Credit, three hours.
Prerequisite:
MTSC 253
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MTSC 541 - ADVANCED PROBABILITY THEORY
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MTSC 551: 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, Phase Diagrams, and Stability.Prerequisites: MTSC 351.Credit, three hours.
Prerequisite:
MTSC 351
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MTSC 551 - ORDINARY DIFFERENTIAL EQUATIONS
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MTSC 561: REAL ANALYSIS I
3.00 Credits
Delaware State University
The purpose of the course is to cover the basic material that every graduate should know in the classical theory of functions of a real variable and in measure and integration theory. To provide the students with the background in those parts of modern mathematics which have their roots in the classical theory of functions of a real variable. These include the classical theory of functions of a real variable itself, measure and integration, point-set topology, and the theory of normed linear space.Prerequisites: MTSC 402 with a minimum grade of "C", or its equivalent.Credit, three hours.
Prerequisite:
MTSC 402
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MTSC 561 - REAL ANALYSIS I
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MTSC 562: REAL ANALYSIS II
3.00 Credits
Delaware State University
This course is the extension of real analysis I. The purpose of the course is to further provide students the background of modern mathematics. The course is to cover the theories of (improper) Riemann integrals and a brief introduction of Lebesgue integrals, the theories of pointwise and uniform convergence of sequences of functions, and the theories of infinite series of functions.Prerequisites: MTSC 561 with minimum grade of "C", or its equivalent.Credit, three hours.
Prerequisite:
MTSC 561
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MTSC 562 - REAL ANALYSIS II
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MTSC 571: COMPLEX ANALYSIS
3.00 Credits
Delaware State University
This is a first-semester course at the graduate level, in the field of Functions of one (1) Complex Variable. The rigorous approach adopted herein will set a firm foundation for leading the students to the next level of Complex Analysis. To prepare the student for further studies in the field of Complex Analysis. To provide the students with sufficient background for various applications of Complex Analysis physical and engineering disciplines.Prerequisites: MTSC 471.Credit, three hours.
Prerequisite:
MTSC 471
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MTSC 571 - COMPLEX ANALYSIS
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MTSC 621: FUNCTIONAL ANALYSIS
3.00 Credits
Delaware State University
The course gives students an introduction to Metric Spaces, Hilbert Spaces, and Banach Spaces with emphasis on Hilbert Spaces.Prerequisites: MTSC 561.
Corequisite:
Credit, three hours. MTSC 561
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MTSC 621 - FUNCTIONAL ANALYSIS
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