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MATH 425: Modern Algebra
3.00 Credits
Virginia State University
Abstract groups, subgroups, cyclic groups, groups of symmetries, even and odd permutations, the alternating group cosets, normal subgroups, Lagrange's theorem, quotient groups, solvable groups, mappings, group homomorphisms, isomorphisms. Prerequisite: MATH 201 Calculus II
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MATH 425 - Modern Algebra
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MATH 426: MODERN ALGEBRA Sp
3.00 Credits
Virginia State University
Prerequisite: MATH 425 Modern Algebra
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MATH 426 - MODERN ALGEBRA Sp
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MATH 432: Theory of Functions sp
3.00 Credits
Virginia State University
Brief introduction of Complex numbers and its properties, Elementary functions of Complex variable, Analytic functions and its basic properties, Contour integration, Cauchy's Theorem and Integral formula, Maximum modulus principles, Series representation of analytic functions, Taylor's Theorem, Classification of singularities, Laurent series, Calculation of residues. Prerequisite: MATH 301 Multivariate Calculus
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MATH 432 - Theory of Functions sp
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MATH 445: Introduction to Point Set Topology sp
3.00 Credits
Virginia State University
Metric spaces, topological spaces, separation axioms, connectedness, compactness, homeomorphisms and product spaces. Prerequisite: MATH 300 Calculus III or MATH 425 Modern Algebra
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MATH 445 - Introduction to Point Set Topology sp
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MATH 470: History of Mathematics
3.00 Credits
Virginia State University
An introduction to the chronological history of mathematics and the mathematics who made significant contributions, emphasizing the evolution of basic concepts ranging from primitive number systems through the foundations of set theory. Topics include development of Mathematical concepts in ancient societies, pre-Calculus and Calculus of the seventeenth century; and a historical review of mathematical analysis, probability, statistics, algebra, number theory and geometry. Introduction to graphs and digraphs, introduction to algorithms, tree, networks, Eulerian and Hamiltonian graphs, planar graphs, coloring of graphs. Prerequisites: MATH 201 Calculus II; CSCI 281 Discrete Structures
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MATH 470 - History of Mathematics
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MATH 490: GRAPH THEORY F Sp STAT 382 INTRODUCTION TO SAMPLING METHODS 3 semester hours Sp
3.00 Credits
Virginia State University
A course that presents the basic ideas of sampling: random, stratified, systematic and cluster sampling, ratio and regression estimates, estimation of sample size, sampling methods in social, economic and biological surveys, sources of error in surveys. Prerequisite: STAT 380 Probability and Statistics I
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MATH 490 - GRAPH THEORY F Sp STAT 382 INTRODUCTION TO SAMPLING METHODS 3 semester hours Sp
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MATH 495: Mathematics Seminar
3.00 Credits
Virginia State University
Required of all senior mathematics majors. A capstone course designed (1) review, unify, and extend concepts and skills developed in previous mathematics courses; (2) give students additional experience in presenting mathematical concepts in oral and written form and improving problem-solving skills; (3) assess students' comprehensive mathematical knowledge through the administration of a departmental Field Test. Students will be expected to achieve a satisfactory level of performance on the Field Test in order to be eligible for graduation. Prerequisite: Senior academic standing or by permission of instructor An introductory course in probability and statistics with an elementary calculus prerequisite. Elementary descriptive statistics, basic probability rules, conditional probability, independence, B ayes' theorem, discrete and continuous probability distributions, probability density functions, binomial, Poisson, hypergeometric, negative binomial, geometric and normal distributions. A survey of modern numerical methods with emphasis on those best suited for digital computer application. Polynomial interpolation, iterative methods for solving simultaneous linear and non-linear equations, solutions of algebraic equations, solutions to differential equations.
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MATH 495 - Mathematics Seminar
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MCET 102: Machines Laboratory
1.00 Credits
Virginia State University
Basic hand tools, shop safety procedures; fundamental machine operations of drilling, sawing, milling, turning; inspection tools, gauges, measuring instruments. Prerequisite: None
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MCET 102 - Machines Laboratory
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MCET 200: Statics
3.00 Credits
Virginia State University
Force systems, resultants, and equilibrium; trusses, method of joints, method of sections; friction; centroids, moments of inertia. Prerequisites: MATH 121 College Algebra and Trigonometry II; ENGT 100 Introduction to Engineering Technology Corequisite: PHYS 116 General College Physics I
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MCET 200 - Statics
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MCET 201: Strength of Materials sp
3.00 Credits
Virginia State University
Stress and deformation; axial, tensile and compressive stresses, torsion; shear and moment in beams; stresses in beams; and design of beams. Use of computers in beam design is included. Prerequisite: MCET 200 Statics
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MCET 201 - Strength of Materials sp
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