2001-2003 Graduate Catalog - Texas Southern University: ::em.tsu ...

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Fifteen (15) additional credit hours excluding Mathematics 430,433, 437, 535 and 536.THE PROFESSIONAL CERTIFICATEA. Specialist AreaMaster of Education Degreefor Teaching MathematicsREQUIREDMATH 535 (3) MATH 536 (3) MATH 631 (3)ELECTIVESThree semester hours in mathematics at the graduate level. B. Professional Development EDFD 584 (3) EDFD 589 (3) C.Resource Areas Six (6) semester hours in the student’s second teaching field.MATH 430* (3) MATH 437* (3) MATH 499* (3)ELECTIVESThe student who wishes to qualify for the Professional Certificate and the Master of Education degree shall take, in additionto the 30 semester hours required for the Professional Certificate, the following courses:EDFD 581 Foundations of EducationEDFD 632 Techniques of Educational ResearchEPSY 831 Educational StatisticsCOURSE DESCRIPTIONSUndergraduate/Graduate CreditMATH 430* THE HISTORY OF MATHEMATICS (3) General view of the development of the elementary branchesof mathematics, growth of higher mathematics in the eighteenth and nineteenth centuries. (Prerequisite: Twelve hoursof college mathematics)MATH 433* CONCEPTS AND STRUCTURE OF MATHEMATICS (3) Structure of the number system, elements ofset theory, properties of real numbers, and basic concepts of the mathematical systems. (Prerequisite: instructor’s consent)MATH 437* CONTEMPORARY MATHEMATICS AND ITS APPLICATIONS (3) Applications of various mathematicaltopics and mathematical needs of people in some of the trades, professions and scientific disciplines. (Prerequisite: Math314 or instructor’s consent)MATH 439* ADVANCED CALCULUS (3) The real number system; elementary point set theory; sequences and series;continuity; differentiation and integration. (Prerequisites: Math 314 and Math 331 )MATH 473* PROBABILITY AND STATISTICS I (3) Introduction to probability and statistical inference making use ofthe calculus developed in Math 241 and MATH 242. (Prerequisites: MATH 241 and 242)MATH 474* PROBABILITY AND STATISTICS II (3) Moments of distributions and Stieltjes integral; joint densityfunctions; conditional means; moment generating functions; sequences of random variables; distribution theory; andhypothesis testing. (Prerequisite: MATH 473)56
MATH 475 INTRODUCTION TO MODERN ALGEBRA (3) Group theory; Lagrange’s Theorem; Isomorphism Theorem;Cayley’s Theorem; rings and fields. (Prerequisite: MATH 336 or instructor’s consent)MATH 499* SEMINAR (3) Various topics in mathematics discussed. (Prerequisite: Instructor’s consent)GraduateMATH 532 INTRODUCTION TO NUMBER SYSTEMS (3) Background concepts and terminology in sets, relations,mapping. Cartesian products; equivalence relations; elementary properties of the counting numbers; numeration systems;arithmetic in base 10 and bases other than 10; divisibility and primes; Euclidean Algorithm; Fundamental Theorem ofArithmetic consequences; the ring of integers mudulo m; Fermat’s Theorem, elementary properties of the rational numbers;existence of irrational numbers.MATH 533 INFORMAL GEOMETRY (3) Fundamental concepts of set theory and logic. Incidence relations Measurement.Concepts of congruence. Theory of parallel lines. Alternative axioms. Metric properties of triangles; circles, cones,spheres, and pyramids. The coordinate plane and graphs.MATH 535 ALGEBRA FOR TEACHERS (3) Sets, real number system, theory of polynomials, elementary functions,determinants and matrices.MATH 536 GEOMETRY FOR TEACHERS (3) Foundations of geometry, nature of proof, coordinate systems, Euclidean,non-Euclidean and protective geometry.MATH 577 FOURIER SERIES (3) Study of approximations of functions by orthogonal systems of functions; Fourierseries; orthonormal systems and generalized Fourier series, applications to boundary value problems. (Prerequisites: MATH314 and 333)MATH 578 LAPLACE TRANSFORMS (3) Definitions and elementary properties; transform of discontinuous functions;inverse transformations; convolution theorems, application to ordinary differential equations. (Prerequisite. MATH 439)MATH 599 RESEARCH AND CONFERENCE (3) May not be repeated for graduate credit. (Prerequisite: Graduatestanding and twelve hours of senior undergraduate or graduate mathematics)MATH 631 INTRODUCTION TO THE FOUNDATIONS OF MATHEMATICS (3) Evolution of Mathematical idealsand methods, relations to logic; the axiomatic method; the infinite paradoxes; contradictions. (Prerequisite. Graduate standing)MATH 633 THEORY OF FUNCTIONS OF REAL NUMBERS (3) The fundamental part of the theory of functionsof a real variable; the topology of the real line, limit, continuity, differentiation, Lesbeque measure, the Lesbeque integral.(Prerequisite: MATH 439)MATH 634 THEORY OF FUNCTIONS OF COMPLEX VARIABLES (3) The fundamental part of the theory of functionsof a complex variable; complex number system, limits continuity, derivatives of complex functions, integration in thecomplex domain. (Prerequisite: MATH 460 or consent of instructor)MATH 636 TOPOLOGY (3) Introduction to the study of point set topology: topological spaces, metric space, the topologyof the real line and real plane, continuous functions, homeomorphisms, product spaces, compactness, connectivity, separationtheorems. (Prerequisites: MATH 462 and MATH 439 or instructor’s consent)MATH 637 FUNCTIONAL ANALYSIS (3) Introduction to functional analysis: finite and infinite dimensional vectorspaces norms and inner products, Banach space, Hilbert space, L-space, linear operators. (Prerequisites: MATH 636 andMATH 633 or instructor’s consent)57
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2001 - 20031
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TEXAS SOUTHERN UNIVERSITYThe Gradua
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GENERAL INFORMATIONThe statements s
Page 9 and 10: The Social Work Program is accredit
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Page 14 and 15: Refunds for courses dropped during
Page 16 and 17: Respond to All Requests for Additio
Page 18 and 19: 14GRADUATE FACULTYABDEL-RAHMAN, FAW
Page 20 and 21: ENIGBOKAN, MOFOLORUNSO A. .........
Page 22 and 23: MEHTA, CHANDER S. .................
Page 24 and 25: SWAN, L. ALEX .....................
Page 26 and 27: Each academic department has facult
Page 28: credits can be applied toward the d
Page 31 and 32: The following are some factors that
Page 33 and 34: REQUIREMENTS FOR COMPLETION OF THE
Page 35 and 36: FOREIGN LANGUAGE EXAMINATIONThe pas
Page 37 and 38: Foundations of Education, Research,
Page 39 and 40: CHOICE OF MAJOR ADVISORAt the time
Page 41 and 42: the work for the degree must be 500
Page 43: GRADUATION UNDER A SPECIFIC BULLETI
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Page 48 and 49: Biology 439 Principles of Biology (
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Page 52 and 53: CHEM 573 INORGANIC CHEMISTRY FOR TE
Page 54 and 55: DEGREE REQUIREMENTSDoctor of Philos
Page 56 and 57: TIME LIMIT FOR THEDOCTOR OF PHILOSO
Page 58 and 59: ES 911 GAS CHROMATOGRAPHY & MASS SP
Page 62 and 63: MATH 638 PARTIAL DIFFERENTIAL EQUAT
Page 64 and 65: 60COURSE DESCRIPTIONSITEC 531 POST
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Page 68 and 69: CURRICULUM SUMMARY1. Foundations (C
Page 70 and 71: TMGT 890 Transportation Seminar (3)
Page 72 and 73: College of Liberal Arts andBehavior
Page 74 and 75: COURSE DESCRIPTIONSCommunicationsCM
Page 76 and 77: TC 498 PERSPECTIVES ON NATIONAL & I
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Page 84 and 85: ADMISSION CRITERIAIn addition to th
Page 86 and 87: HIST 640 UNITED STATES SINCE 1900 (
Page 88 and 89: • Child and Family Development,
Page 90 and 91: FN 436* COMMUNITY NUTRITION (3) Epi
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Page 94 and 95: 3. Secure departmental recommendati
Page 96 and 97: PSY 637 Personality Assessment (3)
Page 98 and 99: 3. Satisfactory performance on the
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Page 102 and 103: PAD 621 SOCIAL RESEARCH AND SOCIAL
Page 104 and 105: DEGREE REQUIREMENTSThe minimum requ
Page 106 and 107: SOC 557 SOCIOLOGICAL THEORY (3) Exa
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COURSE REQUIREMENTSThe Master of Bu
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FIN 650 INVESTMENT MANAGEMENT (3) T
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Curriculum and InstructionThe Docto
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8. Applicants must present a Gradua
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COUN 944 TOPICS IN AGING (3) In-dep
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EDCI 932 URBAN TEACHING STRATEGIES
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5. Electives ......................
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EDHI 938 CURRICULUM DEVELOPMENT IN
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CURRICULUM SUMMARYMaster of Educati
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EDFD 581EDCI 633EPSY 831EDFD 576Fou
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EDCI 702 SEMINAR IN URBAN EDUCATION
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SPED 559 RESEARCH IN SPECIAL EDUCAT
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134E. Professional Superintendent C
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Course substitutions may be made wi
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HED 536 (3) HED 537 (3) HED 571 (3)
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COURSE DESCRIPTIONSPhysical Educati
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Spring Semester (First Year) ......
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INDEXAAcademic Standards...........
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MMatriculation Fee.................
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INDEX BY SCHOOL………………
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Texas Southern University3100 Clebu
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2001-2003 Graduate Catalog - Texas Southern University: ::em.tsu ...

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