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CCSU Mathematics
This page lists all the courses available at CCSU. For a listing of courses offered per individual semester, visit the Semester Information page.
Actuarial Science Courses
E = Courses offered on even years O = Courses offered on odd years ACTL 335: THEORY OF INTEREST (3 Credits) Prereq: Math 152. Theory and applications of the theory of interest. Topics include simple and compound interest, installment buying, annuities certain, sinking funds, amortization, depreciation, bonds and related securities. Fall (E) ACTL 465: ACTUARIAL MODELS 1 (4 Credits) Prereq: Stat 315. Life contingency topics including survival models and life tables, net premium and reserve calculation including an introduction to multiple life and multiple decrement models. Students will not receive credit from both ACTL 465 and ACTL 565. Fall. (O) ACTL 466: ACTUARIAL MODELS 2 (4 Credits) Prereq: Stat 315. Topics related to risk theory including frequency and severity of losses, approaches to calculation of the aggregate loss distribution, and estimation of the probability of ruin. Students will not receive credit for both ACTL 466 and ACTL 566. Spring. (O) ACTL 480: TOPICS IN ACTUARIAL SCIENCE (1-3 Credits) Prereq: Permission of instructor. Topics chosen from theory of interest, risk theory, demography, and graduation. Spring. (E) ACTL 481: REVIEW SOA/CAS COURSE 1 (3 Credits) Prereq: None Review and extension of the principles of calculus and probability as related to the material on the SOA/CAS Course 1 exam. Spring. ACTL 482: REVIEW SOA/CAS COURSE 2 (3 Credits) Prereq: ACTL 335 and permission of the instructor. Review and extension of the principles of theory of interest, economics, and finance as related to the material on the SOA/CAS Course 2 exam. Spring. (O) ACTL 564: MATHEMATICS OF FINANCIAL DERIVATIVES (3 Credits) Prereq.: Admission to M.A. program in Mathematics with specialization in Actuarial Science or permission of the instructor. Study of mathematical models used to value financial derivatives. Includes both discrete time models such as binomial trees and simulation as well as continuous time models based upon Brownian motion and Ito's lemma. Fall. ACTL 565: GRADUATE ACTUARIAL MODELS 1 (4 Credits) Prereq.: Admission to M.A. program in Mathematics with specialization in Actuarial Science. Models the valuation of life contingent payments. Specific topics include survival models and life tables and their use in the calculation of net premiums and reserves. Multiple life and multiple decrement models are introduced. This is a link course with ACTL 465. Not open to students who have passed ACTL 465. Fall. (O) ACTL 566: GRADUATE ACTUARIAL MODELS 2 (4 Credits) Prereq.: Admission to M.A. program in Mathematics with specialization in Actuarial Science. Frequency and severity models, compound distribution models, stochastic process and ruin models. This is a link course with ACTL 466. Not open to students who have passed ACTL 466. Spring. (O) ACTL 580: ADVANCED TOPICS IN ACTUARIAL SCIENCE (3 Credits) Prereq.: Permission of instructor. Seminar in risk theory, basic actuarial principles, actuarial models, actuarial modeling, or other advanced topic. May be repeated under different topic for maximum of 6 credits. Spring. Goto Top? Mathematics Courses
Courses 099-152
E= Courses offered in an even year O= Courses offered in an odd year I= Course can be used to satisfy an international component of the general education requirement [GR]= Courses that can be taken by graduate students for credit MATH 099: ELEMENTARY ALGEBRA (3 Credits) Remedial Review of fundamental algorithms of whole numbers, integers, rational numbers, and elementary algebra. Students who are required to take MATH 099 must pass this course with a C- or better before successful completion of 24 hours of regular coursework. Letter grade will affect GPA as if MATH 099 were a three credit course, but these credits may not be used to fulfill the number of credits required for graduation. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics. MATH 101: INTERMEDIATE ALGEBRA (3 Credits) Prereq.: MATH 099 (C- or higher) or placement exam. Review and extension of elementary algebra. A study of functions including their algebraic properties and graphs. Quadratic equations and inequalities are solved and graphed. Graphing calculator required. No credit given to students with credit for MATH 115, 116 (formerly MATH 121), 119, 123, 124, 125, 135 or 152. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics. MATH 105: SURVEY OF MATHEMATICS FOR LIBERAL ARTS (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. This course is intended for those students who are not majoring in mathematics or the natural sciences. Provides students with an introduction to a broad range of topics in mathematics. No credit given to students with credit for MATH 218. May not be used to meet the requirements for a major, a minor, or certification in mathematics. MATH 106: MATHEMATICAL TOPICS FOR LIBERAL ARTS (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Topics in mathematics suitable for students majoring in other disciplines and not covered in other courses. Topics may include: the mathematics of music, mathematics and the arts, game theory, cryptography, and mathematical modeling. May be repeated with different topics for a maximum of six credits. MATH 110: FINITE MATHEMATICS (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Topics to include those chosen from logic, theory of sets, counting techniques, probability theory, linear equations, linear programming, matrix algebra, graph theory, and Markov chains. Emphasis placed on the construction of mathematical models and their applications. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 113: STRUCTURE OF MATH I: Number Systems (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Problem solving approach to inductive reasoning, sets, numeration, number theory, integer properties and operations, rational number properties, and numeration. No credit given to those with credit for MATH 366. Intended ONLY for students seeking elementary, early childhood, or middle level certification and can be used to meet requirements of a major or minor in mathematics only for such students. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 115: TRIGONOMETRY (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Study of relations, functions (special emphasis on the six trigonometric functions), inverses, and graphs. An analytic approach to trigonometry using circular functions, angular measures, identities, graphs and inverses. No credit given to students with credit for MATH 119, 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 116 (formerly MATH 121): PRE-CALCULUS MATHEMATICS (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Properties of the real numbers, relations and functions, exponential and logarithmic functions, mathematical induction, and conics. No credit given to students with credit for MATH 119, 124, 125, 135 or 152. MATH 119: PRE-CALCULUS WITH TRIGONOMETRY (4 Credits) Skill Area II. Prereq.: MATH 101 (B- or higher) or placement exam. Intensive preparation course for the calculus sequence. Properties of functions including polynomial, rational, periodic, exponential and logarithmic, and rate of change. Also covers trigonometry, including the unit circle, right triangles, and analytic trigonometry. No credit given for students with credit for MATH 115, 116 (formerly MATH 121), 124, 135 or 152. MATH 120: PROBLEM SOLVING 1 (1 Credit) Prereq.: MATH 115 (C- or higher) or MATH 119 (C- or higher) or placement exam. Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, and trigonometry. One two-hour lab per week. MATH 123: APPLIED BUSINESS MATHEMATICS (3 Credits) Prereq.: MATH 101 (C- or higher) or placement exam. Elements of calculus and finite mathematics with emphasis on applications to problems arising in business. Topics include polynomial and rational functions, modeling, limits, continuity, derivatives, maxima and minima of functions, matrices, systems of linear equations, linear inequalities, and linear programming. Exponential and logarithmic functions will be studied if time permits. No credit given for students with credit for MATH 124, 125, 135 or 152. MATH 124: APPLIED CALCULUS WITH TRIGONOMETRY (4 Credits) Prereq.: MATH 101 (C- or higher) Polynomial, rational, exponential, logarithmic and trigonometric functions, and their application to the natural sciences. The concepts of rate of change, limit, and derivative are emphasized. Integration is introduced. No credit given to students with credit for MATH 115, 119, 125, 135, or 152 (formerly MATH 122). Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level, certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 125: APPLIED CALCULUS (3 Credits) Prereq.: MATH 101 (C- or higher) or placement exam. This course is for students majoring in the social, biological, behavioral, and managerial sciences. Topics include review of algebra, differentiation, and integration. Graphing calculator required. No credit given to students with credit for MATH 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 135: APPLIED ENGINEERING CALCULUS 1 (3 Credits) Skill Area II. Prereq.: MATH 119 (C- or higher) or MATH 115 (C- or higher) AND MATH 121 (C- or higher) or Math Placement Exam. This course is for students majoring in engineering technology. Topics include analytical geometry, limits, and differentiation. Exponential, logarithmic, and trigonometric functions are included. Applications to physics and engineering problems will be emphasized. No credit given to students with credit for MATH 124, 125, or 152. MATH 136: APPLIED ENGINEERING CALCULUS II (3 Credits) Skill Area II. Prereq.: MATH 135 (C- or higher) or permission of instructor. Continuation of MATH 135. Topics include the integral, techniques of integration, application of integrals, and multivariate calculus. No credit given to students with credit for MATH 221. Engineering Technology students with credit for MATH 125 prior to Spring 2003 will be admitted. MATH 152: CALCULUS I (4 Credits) Skill Area II. Prereq.: MATH 115 (C- or higher) AND MATH 121 (C- or higher), OR MATH 119 (C- or higher). Limits and continuity, derivatives, applications of derivatives including transcendental functions, antiderivatives, and definite integrals with applications. Goto Top? Courses 200s-300s
E= Courses offered in an even year O= Courses offered in an odd year I= Course can be used to satisfy an international component of the general education requirement [GR]= Courses that can be taken by graduate students for credit MATH 211: CLINICAL EXPERIENCE IN MATHEMATICS EDUCATION 1 (1 Credit) Prereq.: MATH 152 (C- or higher). Provides prospective teachers of mathematics with an opportunity to gain practical experience in a tutorial setting. Students are trained as tutors for level 1 CRLA (College Reading and Learning Association) certification and are assigned to work a minimum of 3 hours per week in the Learning Center primarily helping students taking MATH 099 and MATH 101. MATH 213: STRUCTURE OF MATH II: Probability & Geometry (3 Credits) Prereq.: MATH 113 (C- or higher). Problem solving approach to deductive reasoning and logic, probability, descriptive statistics, point set, metric, analytic and transformational geometry; and properties of plane and solid figures. No credit given to those with credit for MATH 323. Early Childhood, Elementary or Middle Level certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 218: DISCRETE MATHEMATICS (4 Credits) Prereq.: MATH 152 (C- or higher). Topics include logic, induction, recursion, combinatorics, matrices, graph theory, set theory, and number theory. MATH 220: PROBLEM SOLVING 2 (1 Credit) Prereq.: MATH 120 (C- or higher) AND MATH 152 (C- or higher). Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, and calculus. One two-hour lab per week. MATH 221: CALCULUS 2 (4 Credits) Skill Area II. Prereq.: MATH 152 (C- or higher). Continuation of MATH 152. Further application of integration and techniques integration. Improper integrals and L'Hopital's. Infinite series including Taylor series and representation of functions. MATH 222: CALCULUS 3 (4 Credits) Skill Area II. Prereq.: MATH 221 (C- or higher). Continuation of MATH 221. Parametric equations, polar coordinates, two- and three-dimensional vectors, three-dimensional analytic geometry, functions of several variables, partial differentiation, double and triple integrals. MATH 226: LINEAR ALGEBRA AND PROBABILITY FOR ENGINEERS (4 Credits) Fall. Prereq.: MATH 221 (C- or higher). Introduction to the mathematics required for engineering, including basic linear algebra and topics in probability and statistics. Emphasis on applications. MATH 228: INTRODUCTION TO LINEAR ALGEBRA (4 Credits) Prereq.: MATH 152 AND MATH 218 (both with grades of C- or higher). Vector spaces, systems of linear equations, determinants, linear transformations, and matrices are considered. MATH 300: MATHEMATICS INTERNSHIP (3 Credits) Prereq.: Permission of the department and a 3.00 GPA in mathematics. Designed to provide students an opportunity to work in a business environment directly related to their major or specialization. Each student will apply his/her classroom knowledge in mathematics, actuarial science, operations research, and/or statistics in an appropriate business setting. Graded on pass-fail basis only. MATH 305: STRUCTURE OF MATH III: Number Patterns (3 Credits) Prereq.: MATH 213 (C- or higher) AND (MATH 116 (formerly 121), OR 119, OR 124, OR 125 (C- or higher)). Exploratory approach to number patterns and functions. Topics include prime and composite numbers, perfect numbers, Fibonacci numbers, figurative numbers, Pythagorean triples, and sequences. Calculators will be used. Early Childhood and Elementary Education certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 306: STRUCTURE OF MATH IV: Development of Geometric Ideas (3 Credits) Prereq.: MATH 213 (C- or higher) AND (MATH 115 OR MATH 119 OR 124 (C- or higher)). Exploration of geometric concepts via hands-on activities and computer software. Topics include congruence, similarity, transformations, tessellations, and fractals. Early Childhood, Elementary Education or Middle Level certification candidates only. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 307: TOPICS IN ELEMENTARY MATHEMATICS (1-3 Credits) Irregular Prereq.: Permission of instructor. Selected elementary topics in mathematics covering specialized areas not offered in the regular curriculum. May be repeated with different topics for a maximum of 3 credits. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 311: CLINICAL EXPERIENCE IN MATHEMATICS EDUCATION 2 (1 Credit) Prereq.: MATH 211 (C- or higher). Tutors are trained at level 2 (CLRA certification) and assigned to tutor in a middle school or high school setting. MATH 313: NUMBER SYSTEMS FROM ADVANCED VIEWPOINT (3 Credits) Spring. Prereq.: MATH 218 (C- or higher) AND MATH 221 (C- or higher). Examination of the content of elementary school mathematics from the point of view of teachers of secondary mathematics. Taken concurrently with either MATH 327 or 328. MATH 320: PROBLEM SOLVING 3 (1 Credit) Prereq.: MATH 220 (C- or higher) AND 228 (C- or higher). Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, calculus, discrete mathematics, and linear algebra. One two-hour lab per week. MATH 327: CURRICULUM & TECHNOLOGY IN SECONDARY MATH I (3 Credits) Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the development of algebraic thinking across grade levels and the use of spreadsheets, function plotting software, and graphing calculators. Graphing calculator required. MATH 328: CURRICULUM & TECHNOLOGY IN SECONDARY MATH II (3 Credits) Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the teaching of geometry, probability, statistics, and discrete mathematics, including the use of geometric drawing programs, laboratory instrumentation, and the internet. Graphing calculator required. MATH 344: MATHEMATICS IN DIVERSE CULTURES (3 Credits) Spring. (E). [I]. Prereq.: MATH 152 or MATH 125 or MATH 305 (all with grades of C- or higher). Mathematical systems of different cultures around the world and their contributions to the development of mathematics. Recent trends in ethnomathematics research and ideas on "multiculturing" the mathematics classroom will also be discussed. MATH 355: INTRODUCTION TO DIFFERENTIAL EQUATIONS W/ APPLICATION (4 Credits) Spring. Prereq.: MATH 221 AND either MATH 226 or MATH 228 (all with grades of C- or higher). Introduction to analytical, geometric, and numerical methods for solving ordinary differential equations. Basic models of physical systems using ordinary differential equations. Introduction to software used for solving ordinary differential equations. MATH 366: INTRODUCTION TO ABSTRACT ALGEBRA (4 Credits) Prereq.: MATH 218 (C- or higher). Certain fundamental structures such as groups, rings, integral domains, and fields are considered. MATH 377: INTRODUCTION TO REAL ANALYSIS (4 Credits) Prereq.: MATH 221 (C- or higher). In-depth introduction to the theory of functions, including integration, differentiation, and series. MATH 383: COLLEGE GEOMETRY (formerly MATH 323) (3 Credits) Spring. Prereq.: MATH 328 or MATH 366 or MATH 377 (all with C- or higher). Historical overview of the development of geometry since the time of Euclid. In-depth study of selected topics from Euclidean geometry and the role of axiomatic. Also covers material from at least one of the following non-Euclidean geometries; finite, projective, spherical, and hyperbolic. MATH 398: INDEPENDENT STUDY IN MATHEMATICS (1-3 Credits) On demand. Prereq.: MATH 228 or 366, AND a 3.00 G.P.A. in mathematics AND permission of instructor. Special independent work to meet individual interest in areas not covered by the regular curriculum. Work will be under the supervision of a faculty member and in an area and for an amount of credit agreed upon prior to registration for the course. Goto Top? Courses 400s-500s
E= Courses offered in an even year O= Courses offered in an odd year I= Course can be used to satisfy an international component of the general education requirement [GR]= Courses that can be taken by graduate students for credit MATH 400: INTRODUCTION TO MATHEMATICA (4 Credits)*Can be taken for undergraduate or graduate credit* Undergraduate Prereq.: MATH 221 and either MATH 228 or MATH 226 (C- or higher for all courses), (or permission of instructor). Graduate Prereq.: Admission to the M.S. or M.A. program in Mathematics. THIS COURSE CAN BE COUNTED AS AN ELECTIVE IF YOU ARE A MATHEMATICS MAJOR. Introduction to symbolic computation package Mathematica. Emphasis on applications and independent research. Fall. MATH 409: MATHEMATICS THROUGH COMPUTERS (3 Credits) Prereq.: MATH 305 or 306. Exploration of computer software, such as Geometer's Sketchpad, Logo, and Excel, and the use of Web resources, to promote better understanding of mathematical concepts and algorithms. For pre-service teachers of K-9. Can be used to meet requirements for a major or minor in mathematics only for students seeking elementary, early childhood, or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. MATH 411: CLINICAL EXPERIENCE IN MATHEMATICS EDUCATION III (1 Credit) Prereq.: Math 211 AND Math 221 (both with grades of C- or higher). Tutors are assigned to work in the Learning Center and may tutor students in courses up through Math 152. Students who have not had Level 2 CLRA certification training receive the same training as students taking MATH 311. MATH 412: ELEMENTARY MATH METHODS (3 Credits) Prereq.: MATH 213 (C- or higher) AND admission to the Professional Program in Elementary Education. Concepts underlying contemporary mathematics curriculum for elementary grades. Developmentally appropriate methods for developing concepts and the meaning of operations and procedures in arithmetic through problem solving. This course is for teacher certification only and graduate credit will not be granted. MATH 413: TEACHING MATH IN SECONDARY SCHOOL (4 Credits) Fall, Spring. Prereq.: MATH 327 AND admission to the Professional Program in Secondary Teacher Education. Topics include planning for instruction, classroom management, promoting effective discourse, methods to address the needs of a diverse student population, and methods of assessment. Field experience required. Taken concurrently with EDSC 425. MATH 421: HISTORY OF MATHEMATICS (3 Credits) Spring. (O). [GR] Prereq.: MATH 221 or for graduate students, admission to M.A., Mathematics or the M.S., Mathematics (for certified secondary teachers). Development of mathematics is traced from arithmetic of commerce, astronomy, geometry, and trigonometry in Babylonia, Egypt, Greece, and Rome to the later accomplishments in algebra, geometry, and calculus. MATH 426: STUDENT TEACHING SEMINAR (1 Credit) Prereq.: MATH 413. Examination of problems which arise in secondary mathematics instruction. Taken concurrently with EDSC 435. MATH 440: SELECTED TOPICS IN MATHEMATICS (1-3 Credits) Irregular. [GR] Prereq.: Permission of instructor. Selected topics in mathematics covering specialized areas not covered in regular offerings or that go beyond that provided for in the standard curriculum. May be repeated with different topics for a maximum of 6 credits. MATH 449: MATHEMATICS LABORATORY FOR ELEMENTARY SCHOOL (3 Credits) Summer. [GR] Prereq.: MATH 412, 414 or 327 or equivalent AND student teaching. Provides teachers in elementary school with the opportunity to make mathematical materials useful in teaching elementary mathematics. Each participant constructs mathematical models and manipulatives appropriate to his/her teaching level and interest. Mathematical projects and educational implications are discussed. Can be used to meet the requirements for a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting requirements for secondary school mathematics. MATH 450: SEMINAR IN PROOF (4 Credits) Spring. Prereq.: MATH 366 AND 377 (both with grades of C- or higher), one of which may be taken concurrently. Students will study a number of important theorems in mathematics, examining the proofs of these theorems in depth. Each student will make a presentation to the class before the end of the semester. Topics will vary based on student and instructor interest. This is a capstone course for the BA major. Class is limited to 15 students. MATH 455: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS (4 Credits) Fall. (O). [GR] Prereq.: MATH 355 (C- or higher) or permission of department chair. Introduction to analytical, geometric, and numerical methods for solving partial differential equations. Basic models of physical systems using partial differential equations. Introduction to software used for solving partial differential equations. MATH 465: INTRODUCTION TO FRACTAL GEOMETRY & CHAOS (3 Credits) Spring. (E). Prereq.: MATH 218 or MATH 221 (both with C- or higher), or Master's Degree Program. Topics will include self similarity, fractal dimension, iterated function systems, Mandelbrot and Julia sets, complex iteration, cellular automata, and dynamical systems. Much of the work will involve using software to draw and investigate fractal images and chaos. MATH 468: SYMBOLIC LOGIC (3 Credits) Spring. (E). [GR] Prereq.: MATH 366 or equivalent. Introduction to truth, validity and argument. Methods of deduction, propositional functions and quantifiers, logic of relations, deductive systems, and propositional calculus. MATH 469: NUMBER THEORY (3 Credits) Fall. (O). [GR] Prereq.: MATH 366 or equivalent. Elementary theory of numbers. Divisibility, prime numbers, Fundamental Theorem of Arithmetic, congruences, Diophantine equations, quadratic residues and continued fractions are among the topics considered. MATH 470: MATH METHODS IN OPERATIONS RESEARCH (3 Credits) Summer. (E). [GR] Prereq.: STAT 215 or 315, AND MATH 110 or 228 or permission of instructor. Selected topics chosen from the areas of linear programming, decision analysis, and network analysis. MATH 477: NUMERICAL ANALYSIS (3 Credits) Summer. (O). [GR] Prereq.: MATH 221 AND CS 151, or permission of instructor. Selected topics including difference operators, iterative methods of finding zeros of functions, interpolation and polynomial approximation, numerical integration and differentiation, matrices, and systems of linear equations. No credit given to students with credit for CS 254. MATH 491: ADVANCED CALCULUS (3 Credits) Fall. (E). [GR] Prereq.: MATH 222 or permission of instructor. Topics from continuity and differentiability of functions of several variables, exterior differential forms, multiple and iterated integration, line integrals, Gauss', Green's, and Stokes' Theorems. MATH 500: MATHEMATICS PRACTICUM (3 Credits) On demand. Prereq.: Admission to the M.A. Program in Mathematics AND permission of the department. Supervised application of academic knowledge to an employment environment related to their field of study. MATH 504: TOPICS IN MATHEMATICS (1-3 Credits) Irregular. Prereq.: Permission of instructor. Topics in mathematics appropriate for in-service and pre-service graduate certification students that are not covered in regular course offerings. May be repeated under different topics for a maximum of 6 credits. MATH 506: TEACHING NUMBER CONCEPTS IN THE ELEMENTARY GRADES (3 Credits) Fall. (O). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote the development of number sense; operations with whole numbers, decimal numbers and common fractions; problem solving; and graphical representations in the elementary grades. MATH 507: TEACHING GEOMETRY & MEASUREMENT IN THE ELEMENTARY GRADES (3 Credits) Fall. (E). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in geometry and measurement in the elementary grades. MATH 508: TEACHING PROBABILITY & STATISTICS IN THE ELEMENTARY GRADES (3 Credits) Spring. (O). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in probability and statistics in the elementary grades. MATH 509: TEACHING ALEGBRAIC THINKING IN THE ELEMENTARY GRADES (3 Credits) Spring. (E). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote algebraic thinking in the elementary grades. MATH 515: ABSTRACT ALEGBRA 1 (3 Credits) Fall. (E). Prereq.: MATH 366 or permission of instructor. Extension of basic group theory introduced in MATH 366, including normal subgroups, quotient groups, cyclic groups, permutation groups, classical isomorphism theorems, and Sylow theorems. MATH 516: ABSTRACT ALEGBRA 2 (3 Credits) Spring. (E). Prereq.: MATH 515. Selected topics from advanced polynomial ring theory, Galois and extension field theory, homological algebra. MATH 519: PRINCIPLES OF REAL ANALYSIS 1 (3 Credits) Fall. (O). Prereq.: MATH 377 or permission of instructor. Introduction to functions of a real variable and their properties. Rigorous study of the real number system, topological properties of the real line, Cauchy sequences, limit and continuity properties of a real variable, metric spaces. MATH 520: PRINCIPLES OF REAL ANALYSIS 2 (3 Credits) Spring. (O). Prereq.: MATH 519. Topics include Riemann-Stieltjes integrals, functions of bounded variation, sequences and series of real numbers, power series. MATH 523: GENERAL TOPOLOGY (3 Credits) Spring. (O). Prereq.: MATH 377 or permission of instructor. Rigorous study of point-set topology. Topics include set theory, definition and basic properties of topological spaces, continuous functions, and homeomorphisms. MATH 525: HIGHER GEOMETRY (3 Credits) Spring. (O). Prereq.: MATH 221 or permission of instructor. Topics from higher-dimensional geometry. Foundations of several geometries and relationship of Euclidean Geometry to other geometries. Projective properties in a Euclidean (metric) setting. Selected topics from synthetic and analytic projective geometry. MATH 526: COMPLEX VARIABLES (3 Credits) Spring. (E). Prereq.: MATH 222 or permission of instructor. An introduction to the theory of functions of a complex variable. Topics include the field of complex numbers, complex analytic functions, elementary functions and their mapping properties, integration theory, and power series expansion of analytic functions. MATH 531: BASIC CONCEPTS OF ELEMENTARY SCHOOL MATHEMATICS (3 Credits) Fall. Prereq.: Open only to Post-Baccalaureate Certification students. Analysis of concepts underlying contemporary mathematics program in elementary school. Emphasis is placed on both structure of mathematical content and procedures used in developing pupil understanding of concepts and processes. MATH 534: TECHNIQUES IN DIAGNOSIS AND REMEDIATION FOR THE TEACHING OF MATH K-12 (3 Credits) Spring. Prereq.: Admission to M.S. in Mathematics for Certified Elementary/Secondary teachers. This course will train early childhood, elementary, middle and secondary teachers in diagnosis and remediation. The course will use a clinical case study approach so that each student will get practical, as well as theoretical experience. Topics include identifying the factors related to learning difficulties in mathematics in the cognitive and affective domains, diagnostic tests, identification of the under-achiever, and case studies. MATH 536: TEACHING NUMBER CONCEPTS IN MIDDLE GRADES (3 Credits) Fall. (O). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote the development of number sense; operations with whole numbers, rational numbers, integers; problem solving; and graphical representations in the middle grades. MATH 537: TEACHING GEOMETRY & MEASUREMENT IN THE MIDDLE GRADES (3 Credits) Fall. (E). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in geometry and measurement in the middle grades. MATH 538: TEACHING PROBABILITY & STATISTICS IN THE MIDDLE GRADES (3 Credits) Spring. (O). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in probability and statistics in the middle grades. MATH 539: TEACHING ALGEBRAIC THINKING IN THE MIDDLE GRADES (3 Credits) Spring. (E). Prereq.: Admission to M.S. in Mathematics for Certified Elementary teachers. NCTM Standards-based instructional practices that promote algebraic thinking in the middle grades. MATH 540: CURRICULUM PROBLEMS IN SCHOOL MATH (3 Credits) Spring. (O). Prereq.: Admission to M.S. in Mathematics for Certified Elementary/Secondary teachers. Current issues in mathematics education. Study of some current major curriculum projects. Content basic to these programs is studied with emphasis on mathematical structure. Opportunity is provided for special investigation into topics of student's interest. MATH 543: SECONDARY SCHOOL ALGEBRA WITH TECHNOLOGY FROM ADVANCED VIEWPOINT (3 Credits) Summer. (E). Prereq.: Admission to Graduate Certification Program in Mathematics in M.S. in Mathematics for Certified Secondary teachers. Intended for in-service secondary school teachers and pre-service graduate certification students. Major objective is to broaden and deepen teacher's knowledge of the algebra topics encountered in secondary schools with particular emphasis on topics new to the curriculum and the uses of technology in teaching them. Opportunities will be provided to discuss the NCTM standards and their implications for teachers. MATH 544: SECONDARY SCHOOL GEOMETRY WITH TECHNOLOGY FROM AN ADVANCED VIEWPOINT (3 Credits) Summer. (O). Prereq.: Admission to Graduate Certification Program in Mathematics in M.S. in Mathematics for Certified Secondary teachers. For in-service mathematics teachers and graduate certification students in mathematics. Major objective is to expand teacher's knowledge of new topics and technology for teaching geometry. NCTM standards for geometry will be included. MATH 547: REFLECTIVE PRACTICE IN TEACHING MATH (3 Credits) Fall. Prereq: Open only to Certified in-service teachers of Mathematics, grades 7-12. Designed to help in-service teachers develop as reflective practitioners through the use of lesson logs, narrative commentary, analysis of videotaped lessons, and examination of student work. Emphasis on relating instruction to the big ideas of mathematics, designing appropriate assessments, and determining meaningful feedback for students. Particularly helpful to beginning teachers who will be compiling their BEST portfolios. MATH 580: DIRECTED STUDY IN MATHEMATICS (1-3 Credits) Irregular. Prereq.: Permission of the instructor. A study of selected topics in mathematics. The area of study will depend on the instructor and the interests and needs of the student(s). May be repeated with different topics to a maximum of 6 credits. MATH 590: SPECIAL PROJECT IN MATHEMATICS (3 Credits) Irregular. Prereq.: Completion of at least 21 credits in the student's planned program of graduate study and a 3.00 overall GPA. The study of an advanced topic in mathematics/mathematics education, approved by the student's graduate advisor and supervised by a faculty member. Requirements include preparation and oral presentation of a paper on the topic. MATH 598: RESEARCH IN MATHEMATICS EDUCATION (3 Credits) Fall. Prereq.: STAT 453 and permission of advisor. Course designed to familiarize graduate student with techniques and resources associated with research in mathematics and mathematics education. Opportunity for practical application will be provided. MATH 599: THESIS (PLAN A) (3 or 6 Credits) Prereq.: Permission of the advisor, and a 3.00 overall GPA. Preparation of thesis under guidance of thesis advisor for students completing master's requirements under M.S. and M.A. Plan A. Goto Top? Courses 600s
E= Courses offered in an even year O= Courses offered in an odd year I= Course can be used to satisfy an international component of the general education requirement [GR]= Courses that can be taken by graduate students for credit MATH 611: MATHEMATICS CURRICULUM K-8: THEORY & IMPLEMENTATION (3 Credits) Fall. (O). Prereq: Admission to Sixth-Year Program in Mathematics Education Leadership. Examination of key questions of what mathematics should be taught in grades K-8. Mathematical foundations of exemplary elementary and middle schools curricula will be studied along with strategies to insure the development of students' deep and connected mathematical understanding. MATH 612: MATHEMATICS CURRICULUM 7-14: THEORY & IMPLEMENTATION (3 Credits) Spring. (O). Prereq: Admission to Sixth-Year Program in Mathematics Education Leadership. Examination of key questions of what mathematics high school graduates should know and be able to apply in light of foundations laid in the middle grades and needs of post-secondary education and the work force. Exemplary secondary school curricula will be studied. MATH 613: RESEARCH ON THE LEARNING OF MATHEMATICS (3 Credits) Fall. (E). Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership AND STAT 453 or permission of department chair. Exploration of theorists' perspectives on learning. Analysis of researchers' conceptual frameworks and methodology. Issues include learning of algorithms, building conceptual understanding, the use of concrete materials, and the role of group work, reflection, writing, discovery, dialogue, and listening. MATH 614: RESEARCH ON THE TEACHING OF MATHEMATICS (3 Credits) Fall. (E). Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership AND STAT 453 or permission of department chair. Designed to acquaint educators with research on effective mathematics teaching practices. This course will focus on areas of research most useful in advancing classroom practices. All students will develop a research proposal. MATH 615: THE CULTURAL CONTEXT OF MATHEMATICS EDUCATION (3 Credits) Summer. (E). Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Explores the may aspects of cultural connections with mathematics. Topics may include the history of mathematics, comparative international studies and an introduction to ethnomathematics. MATH 616: ASSESSMENT IN MATHEMATICS EDUCATION (3 Credits) Summer. (O). Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Use of varied assessments that probe students' mathematical understanding, provide effective feedback, improve questioning techniques, and use results to make instructional decisions will be explored. The entire range of assessments from those designed by the classroom teacher to state-mandated assessments will be considered. MATH 622: INTERNSHIP IN MATHEMATICS EDUCATION LEADERSHIP (3 Credits) On demand. Prereq.: Completion of 24 credits in Sixth-Year Program in Mathematics Education Leadership. Supervised internship concerning leadership in promoting effective teaching and learning in mathematics. Students initiate and complete an action plan and professional portfolio. Goto Top? Statistics Courses
E= Courses offered in an even year O= Courses offered in an odd year STAT 104: ELEMENTARY STATISTICS (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Intuitive treatment of some fundamental concepts involved in collecting, presenting, and analyzing data. Topics include frequency distributions, graphical presentations, measures of relative position, measures of variability, probability, probability distributions (binomial and normal), sampling theory, regression, and correlation. No credit given to students with credit for STAT 108, 200, 215, 314 or 315. STAT 200: BUSINESS STATISTICS 1 (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Application of statistical methods used for a description of analysis of business problems. The development of analytic skills is enhanced by use of one of the widely available statistical packages and a graphing calculator. Topics include frequency distributions, graphical presentations, measures of relative position, measures of central tendency and variability, probability distributions including binomial and normal, confidence intervals, and hypothesis testing. No credit given to students with credit for STAT 104, 108, 215, 314, or 315. STAT 201: BUSINESS STATISTICS 2 (3 Credits) Skill Area II. Prereq.: STAT 200 or equivalent (C- or higher). Application of statistical methods used for a description and analysis of business problems. The development of analytical skills is enhanced by use of one of the widely available statistical packages. Topics include continuation of hypothesis testing, multiple regression and correlation analysis, residual analysis, variable selection techniques, analysis of variance and design of experiments, goodness of fit, and tests of independence. No credit given to students with credit for STAT 216, 416 or 453. STAT 215: STATISTICS FOR BEHAVIORAL SCIENCES 1 (3 Credits) Skill Area II. Prereq.: MATH 101 (C- or higher) or placement exam. Introductory treatment of research statistics used in behavioral sciences. Quantitative descriptive statistics, including frequency distributions, measures of central tendency and variability, correlation, and regression. A treatment of probability distributions including binomial and normal. Introduction to the idea of hypothesis testing. No credit given to students with credit for STAT 104, 108, 200, 314 or 315. STAT 216: STATISTICS FOR BEHAVIORAL SCIENCES 2 (3 Credits) Skill Area II. Prereq.: STAT 215 or permission of instructor. Continuation of STAT 215. Survey of statistical tests and methods of research used in behavioral sciences, including parametric and nonparametric methods. No credit given to students with credit for STAT 201, 416 or 453. STAT 314: INTRODUCTORY STATISTICS FOR SECONDARY TEACHERS (3 Credits) Fall. Prereq.: MATH 218 AND 221. Techniques in probability and statistics necessary for secondary school teaching. Topics include sampling, probability, probability distributions, simulation, statistical inference, and the design and execution of a statistical study. Computers and graphing calculators will be used. No credit given to those with credit for STAT 201, 216 or 453. Graphing calculator required. STAT 315: MATHEMATICAL STATISTICS 1 (3 Credits) Fall. Prereq.: MATH 218 AND 221, or permission of department chair. Theory and applications in statistical analysis. Combinations, permutations, probability, distributions of discrete and continuous random variables, expectation, and common distributions (including normal). STAT 416: MATHEMATICAL STATISTICS 2 (3 Credits) Spring. Prereq.: STAT 315. Continuation of theory and applications of statistical inference. Elements of sampling, point and interval estimation of population parameters, tests of hypotheses, and the study of multivariate distributions. STAT 425: LOSS AND FREQUENCY DISTRIBUTIONS AND CREDIBILITY THEORY (3 Credits) Spring. (E). Prereq.: STAT 416 (may be taken concurrently). Topics chosen from credibility theory, loss distributions, simulation, and time series. STAT 453: APPLIED STATISTICAL INFERENCE (3 Credits) Spring. Prereq.: Graduate standing with at least one course in statistics or STAT 315 or permission of instructor. Statistical techniques used to make inferences in experiments in social, physical, and biological sciences, and in education and psychology. Topics included are populations and samples, tests of significance concerning means, variances and proportions, and analysis of variance. No credit given to students with credit for STAT 201 or 216. STAT 455: EXPERIMENTAL DESIGN (3 Credits) Fall. (O). Prereq.: STAT 201 or 216 or 416 or permission of instructor. Introduction to experimental designs in statistics. Topics include completely randomized blocks, Latin square, and factorial experiments. STAT 456: FUNDAMENTAL OF SAS (3 Credits) Spring. (E). Prereq.: CS 151 AND one of the following: STAT 201, STAT 216 or equivalent. Introduction to statistical software. Topics may include creation and manipulation of SAS data sets; and SAS implementation of the following statistical analyses: basic descriptive statistics, hypotheses tests, multiple regression, generalized linear models, discriminant analysis, clustering and analysis, factor analysis, logistic analysis and model evaluation. This course is cross-listed with MKT 444. STAT 465: NONPARAMETRIC STATISTICS (3 Credits) Fall. (O). Prereq.: STAT 201 or 216 or 416 or permission of instructor. General survey of nonparametric or distribution-free test procedures and estimation techniques. Topics include one-sample, paired-sample, two-sample, and k-sample problems as well as regression, correlation, and contingency tables. Comparisons with the standard parametric procedures will be made, and efficiency and applicability discussed. STAT 476: TOPICS IN STATISTICS (3 Credits) Spring. (O). Prereq.: Permission of instructor. Topics depending on interest and qualifications of the students will be chosen from sampling theory, decision theory, probability theory, Bayesian statistics, hypothesis testing, time series or advanced topics in other areas. May be repeated under different topics to a maximum of 6 credits. STAT 520: APPLIED MULTIVARIATE ANALYSIS FOR DATA MINING (4 Credits) Fall. Prereq.: Two semesters of applied statistics (Stat 200/201 or Stat 104/453 or Stat 215/216). This is a graduate level multivariate analysis course. It covers: inferences for mean vectors, multivariate linear regression, principal component analysis, factor analysis, discriminant analysis, cluster analysis, multidimensional scaling, confirmatory factor analysis, and structrual equations modeling. STAT 521: INTRODUCTION TO DATA MINING (4 Credits) Fall. Prereq.: STAT 104 or STAT 200 or STAT 215 or STAT 315 or permission of department chair. Data mining models and methodologies. Topics may include data preparation, data cleaning, exploratory data analysis, statistical estimation and prediction, regression modeling, multiple regression, model building, k-means clustering, and classification and regression trees. STAT 522: CLUSTERING AND AFFINITY ANALYSIS (4 Credits) Spring. Prereq.: STAT 521 AND STAT 315 AND one of the following: STAT 201, STAT 216, STAT 416, STAT 453. Or, permission of department chair. Data mining models and methodologies. Topics may include model evaluation techniques, hierarchical clustering methods, logistic regression, k-nearest neighbor classification, decision trees, the C4.5 algorithm, and neural networks. STAT 523: PREDICTIVE ANALYTICS (4 Credits) Fall. Prereq.: Admission to M.S. in Data Mining AND STAT 416 AND Stat 522. Or, permission of department chair. Advanced investigation of data mining models and methodologies. Topics may include dimension reduction methods, Kohonen networks clustering, association rules using the a priori and generalized rule induction algorithms, naïve Bayes classification and Bayesian networks, and genetic algorithms. STAT 525: WEB MINING (3 Credits) Spring. Prereq.: STAT 521 or permission of department chair. Methods and techniques for mining information from web structure, content, and usage. Topics may include web log cleaning and filtering, de-spidering, user identification, session identification, path completion exploratory data analysis for web mining, and modeling for web mining, including clustering, association, and classification. STAT 526: DATA MINING FOR GENOMICS AND PROTEOMICS (4 Credits) Spring. Prereq.: STAT 521 or permission of the instructor. Topics include selection of data mining methods appropriate for the goals of a biomedical study (supervised versus unsupervised, univariate versus multivariate), analysis of gene expression microarray data, biomarker discovery, feature selection, building and validation of classification models for medical diagnosis, prognosis, and drug discovery. STAT 527: TEXT MINING (4 Credits) Spring. Prereq.: STAT 521 or permission of the instructor. Intensive investigation of text mining methodologies, including pattern matching with regular expressions, reformatting data, contingency tables, part-of-speech tagging, and top-down parsing. Extensive use of Perl and Perl modules to analyze text documents. STAT 529: CURRENT ISSUES IN DATA MINING (3 Credits) Prereq.: Admission to the M.S. Data Mining program or permission of department chair. Topics depending on interest and qualifications of the students will be chosen from recent developments in data mining, including statistical pattern recognition, statistical natural language processing, bioinformatics, text mining, and analytical CRM. Use of statistical and data mining software. May be repeated under different topics to a maximum of 9 credits. Migration and Attrition. Extensive use of SPSS' Clementine data mining software is required. STAT 534: APPLIED CATEGORICAL DATA ANALYSIS (3 Credits) Fall. Prereq.: A course covering regression and analysis of variance, such as STAT 201 or STAT 216 or equivalent; or permission of department chair. An introduction to the most commonly used model in categorical data analysis. Categorical response data and goodness of fit, contingency tables, generalized linear models, logistic regression with dichotomous responses, multi-category logit models, log-linear models for contingency tables, models for matched pairs, modeling correlated and clustered responses, and random effects modeling of clustered categorical data are covered. Methods are illustrated with data sets drawn from the health, bioloigcal, and social sciences. Computations require the use of a statistical software package such as Open Source R and SAS. STAT 551: APPLIED STOCHASTIC PROCESSES (3 Credits) Fall. (O). Prereq.: STAT 315 AND MATH 228, or permission of instructor. An introduction to stochastic processes. Topics include Markov, Poisson, birth and death, renewal, and stationary processes. Statistical inferences of Markov processes are discussed. STAT 567: LINEAR MODELS (3 Credits) Spring. (E). Prereq.: STAT 416 AND MATH 228, or permission of instructor. Introduction to the methods of least squares. Topics include general linear models, least squares estimators, inference, and hypothesis testing. STAT 570: APPLIED MULTIVARIATE ANALYSIS (3 Credits) Spring. (O). Prereq.: MATH 228 AND one of the following: STAT 416, 201, 216, 453, or permission of instructor. Introduction to analysis of multivariate data with examples from economics, education, psychology, and health care. Topics include multivariate normal distribution, Hotelling's T2, multivariate regression, analysis of variance, discriminant analysis, factor analysis and cluster analysis. Computer packages assist in the design and interpretation of multivariate data. STAT 575: MATHEMATICAL STATISTICS 3 (3 Credits) Fall. (E). Prereq.: STAT 416 or equivalent. Continuation of theory and applications of statistical inference. Advanced topics in the estimation of population parameters and the testing of hypotheses. Introduction to Bayesian methods, regression, correlation and the analysis of variance. STAT 576: ADVANCED TOPICS IN STATISTICS (3 Credits) Fall. (O). Prereq.: Permission of instructor. Seminar in probability theory, sampling theory, decision theory, Bayesian statistics, hypothesis testing, or other advanced area. Topic depending on needs and qualifications of students. May be repeated under different topic to a maximum of 6 credits. STAT 599: THESIS (3 Credits) On demand Prereq.: Permission of advisor. Preparation of thesis under guidance of thesis advisor for students completing master's requirements under M.S. Plan A in Data Mining. Plans A, C, D, and E require completion of 18 credits for programs with 30-35 credits, or 24 credits for programs with greater than 35 credits, and a 3.00 overall GPA. Goto Top?
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