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Marine Science: Graduate |
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MSC 6211 - Ecology of Marine Birds and Mammals
Units: 6
Community approach to ecology of marine birds and mammals using experimental and sampling methodology, examining the distribution, abundance, trophic ecology, and behaviors of birds and mammals in Elkhorn Slough and Monterey Bay.
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MSC 6212 - Advanced Topics in Marine Vertebrates
Units: 6
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MSC 6221 - Advanced Topics in Marine Invertebrates
Units: 6
Advanced considerations of the ecology, physiology, and phylogeny of the various invertebrate phyla emphasizing current literature and research. Topics and emphasis vary from term to term. Repeatability: May be repeated for credit with consent of instructor.
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MSC 6231 - Biology of Seaweeds
Units: 6
Lecture-discussion on marine macroalgal biology with extensive reading of original literature. Ecologically oriented individual research projects involving laboratory culture and field experimentation.
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MSC 6233 - Advanced Topics in Marine Ecology
Units: 1.5-6
Selected topics and current issues in marine ecology. The subjects vary depending on student demand and availability of instructors. Repeatability: May be repeated for credit with consent of instructor. (On demand)
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MSC 6234 - Advanced Biological Oceanography
Units: 6
A continuation of biological oceanographic studies. Lectures and discussion of special topics such as human impact on the marine environment. Critical analyses of current literature. An individual research project involving the use of one or more available analytical tools is required.
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MSC 6242 - Plate Tectonics
Units: 4.5
Historical background, modern theory and geophysical evidence of continental drift, sea floor spreading and plate tectonics. Examinations of the impact of the recent revolution in historical geology. Prerequisites: MSC 4141 or consent of instructor.
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MSC 6246 - Geology of the Monterey Bay Region
Units: 6
Geology, tectonic, and active, naturally occurring processes in the Monterey Bay region; geologic and tectonic history of central California, plate tectonic processes and representative stratigraphy and geomorphology of Monterey Bay region. Prerequisites: Graduate standing and consent of instructor.
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MSC 6248 - Marine Benthic Habitat Techniques
Units: 6
Collection and interpretation of geophysical data used to characterize marine benthic habitats. Basic geophysical principles will be reviewed. Application of techniques to identify and characterize marine benthic habitats, including echosounders, multibeam bathymetry and backscatter, sidescan sonar, seismic profiling, and GIS. Prerequisites: Graduate standing and consent of instructor.
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MSC 6251 - Marine Geochemistry
Units: 6
Geochemical processes in the oceans: thermodynamics of low temperature aqueous reactions, weathering, oxidation-reducing and biologically mediated reaction, processes occurring at the sea floor and air-sea interface. Prerequisites: MSC 4143, quantitative analysis, one year of calculus, or consent of instructor.
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MSC 6261 - Ocean Circulation and Mixing
Units: 6
The mathematical description of the distribution of properties (density, dissolved oxygen, etc.) in the oceans relating to physical and biochemical processes. Theory of distribution of variables, geostrophic method. Prerequisites: MSC 4142 and college physics strongly recommended; one year of calculus, or consent of instructor.
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MSC 6262 - Satellite Oceanography
Units: 6
Physical principles of remote sensing with application to the oceans, including satellite image processing methods. Labs involve use of PC and Unix workstation. Prerequisites: GEOL 4142 and MSC 4144 , or consent of instructor. Strongly Recommended: MSC 6263 .
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MSC 6263 - Application of Computers in Oceanography
Units: 6
Discussion and technical programming with MATLAB for computation and visualization with applications in marine sciences; use of existing program libraries for data I/O and analysis. Semester project required. Prerequisites: College math and consent of instructor.
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MSC 6271 - Population Biology
Units: 4.5
Principles involved in interaction among marine organisms which result in the alteration of population structures. Techniques for assessment and management of animal populations. Credit Restrictions: Not open to students with credit for BIOL 6170.
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MSC 6272 - Subtidal Ecology
Units: 6
The ecology of nearshore rocky subtidal populations and communities with emphasis on kelp forests. Lectures and discussions of original literature. Field work with SCUBA including group projects on underwater research techniques and community analysis, and individual research on ecological questions chosen by the student. Strongly Recommended: knowledge of marine algae, invertebrates, and statistics.
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MSC 6273 - Marine Environmental Studies of the Gulf of California
Units: 6
Analysis of Gulf of California marine environments; intensive field work; required scientific paper based on original research; topics vary. Taught with faculty and students from LaPaz, Mexico. Required two-week field trip in June.
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MSC 6274 - Advanced Topics in Oceanography
Units: 1.5-6
The study of a selected area in oceanography. The subjects vary depending on student demand and availability of instructors. Prerequisites: Consent of instructor. Repeatability: May be repeated for credit with consent of instructor.
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MSC 6280 - Scientific Writing
Units: 3
The techniques and strategies of scientific writing used for proposals, journal submissions, and abstracts of meetings. Students will develop their writing skills by preparing, editing, and rewriting manuscripts. Prerequisites: Graduate standing and consent of instructor.
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MSC 6281 - Coastal Dynamics
Units: 6
Oceanographic dynamics of coastal environments, with an emphasis on eastern boundary current systems influenced by coastal upwelling. Focus on how physical and geological oceanography interact with each other and how both affect coastal ecosystem dynamics. Prerequisites: Graduate standing and MSC 4141 or MSC 4142.
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MSC 6285 - Graduate Seminar in Marine Science
Units: 3
A seminar in marine science for presentation and discussion of advanced studies in special fields. Prerequisites: Graduate standing and consent of instructor. Repeatability: May be repeated once for credit, for a maximum of 6.
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MSC 6900 - Independent Study
Units: 1.5-6
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Marketing |
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MKTG 3401 - Marketing Principles
Units: 4
Introduction to marketing principles, functions, and methods in creating and delivering value; evolution of the modern marketing system; market structure; internal and external variables in the design of marketing program including product, price, promotion, and distribution; social, legal, and ethical responsibilities of marketing. Prerequisites: ECON 2301 .
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MKTG 3410 - Advertising Management
Units: 4
Managing the firm’s advertising function: defining the market; integrating advertising into the marketing mix; setting advertising goals and budgets; developing message strategy and media plan; evaluating advertising campaigns, monitoring and assessing advertising expenditures; research applications; societal evaluation and regulation. Prerequisites: MKTG 3401. Co-requisites: MKTG 3401.
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MKTG 3415 - Personal Selling
Units: 4
Theory and practice of personal selling in individual and small group settings. Skills development in product knowledge, customer analysis, listening, prospecting techniques, sales presentation, closing methods, and the place of selling within business. Student Project. Prerequisites: MKTG 3401 or consent of instructor.
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MKTG 3425 - Promotion
Units: 4
Management of marketing promotional functions including personal selling, sales promotions, advertising, and publicity/public relations. Comparison of promotions for profit/non-profit organizations, products/services, and consumer/industrial markets. Student project. Prerequisites: MKTG 3401 .
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MKTG 3440 - Products and Pricing
Units: 4
The process of both consumer and industrial product development, based on marketing intelligence, product introduction, strategy and pricing throughout product life cycle. Field observation and case discussion. Prerequisites: MKTG 3401 .
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MKTG 3445 - Marketing Research
Units: 4
Training in the process and techniques of marketing research. Topics include problem formulation, research design, development of research instrument, data collection and analysis, and report writing and presentation. Hands-on experience emphasized. Prerequisites: MKTG 3401 ; STAT 2010 or STAT 1000 ; PC Software Proficiency completed.
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MKTG 3495 - Business Communication
Units: 4
Applications of logical and creative thinking, and oral and written communications in the administrative decision-making process in business organizations. Enrollment priority given to Business Administration and Economics majors, then Business Administration minors. Prerequisites: Junior standing; either C- (CR) or better in ENGL 3000 or ENGL 3001 and a score of 7 on the first-tier portfolio, or score of 7 or better on the Writing Skills test, or satisfaction of the graduation writing assessment requirement (GWAR) at any CSU campus including the UWSR at Cal State East Bay. Credit unavailable through challenge.
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MKTG 3898 - Cooperative Education
Units: 1-4
Supervised work experience in which student completes academic assignments integrated with off-campus paid or volunteer activities. Prerequisites: At least 2.0 GPA; departmental approval of activity. Grading: CR/NC grading only.
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MKTG 3999 - Issues in Marketing and Entrepreneurship
Units: 4
Readings, discussion, and research on contemporary and/or significant issues in marketing and entrepreneurship.
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MKTG 4400 - Integrated Marketing Management
Units: 4
An integrative perspective of marketing management. Students acquire knowledge and skills in applying marketing mix variables in competitive decision making environments. Lectures, simulation, and/or cases used to emphasize integration of marketing mix variables. Prerequisites: MKTG 3401 ; any one course from MKTG 3410 , MKTG 3425 , MKTG 3440 , MKTG 3445 , and MKTG 4417 .
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MKTG 4412 - Media Planning
Units: 4
Media choice related to advertising and promotion strategies; media data sources, syndicated services. Researching media for a specific product, structuring optimum media mixes, developing/managing media budgets; using computers and commercial computer services in deriving media schedules. Prerequisites: MKTG 3401 .
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MKTG 4415 - Corporate Communications
Units: 4
Development of organizational image campaigns by identifying corporate culture, corporate image, intraorganizational goals. Determining media strategies, tactics, and tools for lobbying, trade organization relations, press agentry, publicity, internal communications, and public opinion research included in the context of social responsibility. Student project. Strongly Recommended: MKTG 3401; MGMT 3600; MGMT 3680.
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MKTG 4417 - Consumer Behavior
Units: 4
Survey of theoretical foundations of consumer decision-making; in-depth analysis of contemporary factors influencing consumer behavior, including social, cultural, and psychological dimensions; extensive outside readings and case applications; student project required. Prerequisites: MKTG 3401 . Strongly Recommended: PSYC 1000 (or one of PSYC 1001 or PSYC 1005).
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MKTG 4435 - Services Marketing
Units: 4
Theory and practice of services marketing to enhance marketing knowledge. Development of skills in critical thinking, service quality analysis, and development of services through case analyses, student projects, and/or exercises. Prerequisites: MKTG 3401 .
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MKTG 4450 - Marketing Seminar
Units: 4
Selected topics emphasizing the integration of marketing literature with current business practices through seminar discussions and individual field investigations. Prerequisites: MKTG 3401 and consent of instructor.
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MKTG 4470 - International Marketing
Units: 4
Marketing management problems and techniques in international business. Prerequisites: MKTG 3401 . Strongly Recommended: MGMT 4670; ECON 3107.
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MKTG 4585 - E-Commerce Marketing
Units: 4
E-Commerce marketing issues and problems. Understanding e-customers, characteristics of electronic marketplace, marketing implication of information technologies, and e-marketing strategies and tactics. Prerequisites: MKTG 3401 or consent of instructor.
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MKTG 4900 - Independent Study
Units: 1-4
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Marketing: Graduate |
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MKTG 6120 - Managerial Communication
Units: 4
Managerial communication concepts, tools, and skills. Emphasis on building effective oral and written communication skills. Apply communication tools and knowledge: self-assessment; theory of human communication; interpersonal communication; organizational communication; and intercultural communication. (Recommended as one of the first core MBA courses.) Prerequisites: All CBE and University proficiencies, including the UWSR. Grading: A-F grading only.
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MKTG 6215 - Marketing Management
Units: 4
Core marketing management issues in a changing business environment, conceptual knowledge, analytical tools, and problem solving skills applicable to marketing. Topics include environmental scanning; target marketing process; customer relationship management; managing product, price, distribution, and promotion; and marketing control. Prerequisites: All CBE and University proficiencies, including the UWSR; All MBA Fundamental Courses. Grading: A-F grading only.
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MKTG 6401 - Marketing Research
Units: 4
Knowledge and training in process and techniques of acquiring, analyzing, interpreting and reporting information for decision-making. Topics include data collection instruments, sampling plan, statistical analysis and reporting of results. Hands-on learning is emphasized through assignments and/or project. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6410 - Buyer Behavior
Units: 4
Theories, concepts, methods, and empirical findings regarding buyers’ decision-making processes and choice behavior from buyers, marketers, and public policy makers’ perspectives. Lectures, discussion of research articles, case analysis, and research project emphasized. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6411 - Product Management
Units: 4
Knowledge and skills in the process of designing and marketing of new and existing products. Topics include product design, product positioning, market definition, segmentation, test marketing, and demand forecasting. Lectures, cases, and hands-on experience emphasized. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6412 - Pricing Management
Units: 4
Pricing strategies, tactics, methods, laws, treatment of costs, effect of sales promotion, consideration of competition and customers for pricing. Lectures, discussion of relevant articles, and analyses of cases and pricing problems emphasized.
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MKTG 6413 - Integrated Marketing Communications
Units: 4
Students learn marketing communications and promotion and apply knowledge and skills to develop an integrated marketing communication plan. Students learn decision techniques for positioning a brand using appropriate mix of advertising, sales promotion, sales force, and public relations. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6414 - Distribution Management
Units: 4
Students learn about marketing channels and design and manage appropriate channels and logistics for a variety of products. Lecture, project, case studies, and/or a simulation may be used to assist students in understanding distribution models. Prerequisites: MKTG 3401 or 6005; MKTG 6401.
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MKTG 6450 - Seminar in Selected Marketing Topics
Units: 4
Concepts, tools and techniques associated with a special topic in marketing such as consumer behavior, or application of marketing to a specific situation such as business-to-business marketing, international marketing, marketing through the Internet. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6470 - International Marketing
Units: 4
Using cases and a project, students learn how to respond to differences in the cultural, political, legal and economic environments in other countries in designing effective market-entry, segmentation, positioning, and marketing-mix strategies. Ethical issues confronting global marketers are also discussed. Prerequisites: All Fundamental Courses and MKTG 6215.
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MKTG 6898 - Cooperative Education
Units: 1-4
Supervised work experience in which student completes academic assignments integrated with off-campus paid or volunteer activities within the quarter enrolled. Repeatability: May be repeated for credit, for a maximum of 8 units. No units may be counted toward any CBE graduate degree. Grading: CR/NC grading only.
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MKTG 6900 - Independent Study
Units: 1-4
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MKTG 6909 - Departmental Thesis
Units: 1-4
Development and writing of a research paper for submission to the department which specifies its format. Supervision by a faculty committee at least one of whom must be a Cal State East Bay faculty member.
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MKTG 6999 - Issues in Marketing
Units: 4
Readings, discussion, and research on contemporary and/or significant issues in marketing. Repeatability: May be repeated for credit when content varies, for a maximum of 8 units.
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Mathematics |
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MATH 1110 - The Nature of Mathematics
Units: 4
This course is designed to introduce the student to mathematics as an art and mathematics as a tool, emphasizing the place of mathematics in today’s world. Will satisfy the general education requirement for non-majors. Prerequisites: Satisfactory completion of Entry-Level Mathematics requirement. Must complete course with a grade of “C-” or better in order to earn General Education, Area B4, credit. Credit Restrictions: Upper division mathematics and computer science majors will not receive credit for this course.
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MATH 1130 - College Algebra
Units: 4
Functions and graphs: polynomials, rational functions, exponential and logarithmic functions. See note at beginning of course listings. Prerequisites: Satisfactory completion of Entry-Level Mathematics requirement. Must complete course with a grade of “C-” or better in order to earn General Education, Area B4, credit. Credit Restrictions: Upper division mathematics and computer science majors will not receive credit for this course.
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MATH 1300 - Trigonometry and Analytic Geometry
Units: 4
Definitions, properties and graphs of the trigonometric functions. Applications. Analytic geometry of conic sections. A preparatory course for calculus. Prerequisites: MATH 1130 or departmental permission. Must complete course with a grade of “C-” or better in order to earn General Education, Area B4, credit.
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MATH 1304 - Calculus I
Units: 4
Differential calculus. Limits and continuity. Exponential and logarithmic functions. Techniques and applications of differentiation. Prerequisites: MATH 1300 or departmental permission. Must complete course with a grade of “C-” or better in order to earn General Education, Area B4, credit.
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MATH 1305 - Calculus II
Units: 4
Integral calculus. The indefinite integral, area, the Fundamental Theorem and techniques of integration. Applications to volume, arc length, physical and biological problems. Prerequisites: MATH 1304 .
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MATH 1810 - Mathematics for Business and Social Sciences
Units: 4
Functions and graphs; exponential and logarithmic functions; mathematics of accounting and finance; matrices and systems of equations; geometric approach to linear programming; introduction to differential and integral calculus with applications to business and social sciences. Prerequisites: MATH 1130 or departmental persmission. Must complete course with a grade of “C-” or better in order to earn General Education, Area B4, credit.
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MATH 2011 - Number Systems
Units: 4
Structure of number systems, place value, whole numbers, integers, fractions, decimals, real numbers. Standard and nonstandard algorithms, mental computation. Algebra as generalized arithmetic. Divisibility, prime and composite numbers, GCF, LCM. Ratio, proportion, percents. Intended for prospective elementary and junior high school teachers. Prerequisites: Satisfactory completion of the Entry Level Mathematics (ELM) requirement. Credit Restrictions: Not open to students with credit for MATH 4021. Mathematics and computer science majors will not receive credit for this course.
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MATH 2101 - Elements of Linear Algebra
Units: 4
Vector spaces, linear transformations, matrices, systems of linear equations. Stress on 2 and 3 dimensions, including geometric and other applications. Prerequisites: MATH 1305 .
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MATH 2150 - Discrete Structures
Units: 4
Topics in discrete mathematics. Elementary logic, set theory, and relations; induction, enumeration techniques, recurrence relations, trees and graphs. Boolean algebra, algorithm analysis. Prerequisites: MATH 1304 .
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MATH 2304 - Calculus III
Units: 4
Infinite series, convergence of power series. Vectors in space. Partial derivatives, chain rule, directional derivative and gradient. Curves and surfaces. Maxima and minima. Multiple integrals. Prerequisites: MATH 1305 .
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MATH 2305 - Calculus IV
Units: 4
Definite integrals over plane and solid regions in various coordinate systems. Vector functions and their derivatives and integrals. Motion in space. Line and surface integrals. Green’s theorem, Stokes’ theorem, divergence theorem. Prerequisites: MATH 2304 .
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MATH 3000 - Introduction to Abstract Mathematics and Proofs
Units: 4
Introduction to methods and proof techniques in several branches of mathematics, with topics chosen from logic, set theory, abstract algebra, number theory, analysis, and graph theory. Provides a transition from lower division mathematics courses, which concentrate on computation, to upper division proof-oriented mathematics courses. Prerequisites: MATH 2304 . Co-requisites: MATH 2101 .
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MATH 3100 - Linear Algebra
Units: 4
Abstract vector spaces, linear transformations, matrices and determinants. Dual spaces and inner product spaces. Eigenvalues and eigenvectors. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 . (MATH 3000 is strongly encouraged for mathematics majors and may be taken concurrently with MATH 3100.)
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MATH 3121 - Abstract Algebra I
Units: 4
Groups and Subgroups, permutation groups and factor groups. Homomorphisms and Isomorphisms. An introduction to Rings, Polynomial Rings, and Factorization. Selected topics as time permits. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 . (MATH 3000 is strongly encouraged for mathematics majors and may be taken concurrently with MATH 3121.)
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MATH 3122 - Abstract Algebra II
Units: 4
Rings and fields: integral domains, ideals, quotient rings, polynomial rings, roots of polynomials, algebraic extensions and finite fields. Selected topics as time permits. Prerequisites: MATH 3121 .
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MATH 3151 - Combinatorics
Units: 4
Theory of counting, including partitions, Stirling numbers, generating functions. Applications of Burnside’s lemma from multiple transitivity to the Polya-Redfield Theorem. Ferrers diagrams, symmetric functions, and majorization. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 .
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MATH 3215 - Geometry I
Units: 4
A rigorous, axiomatic approach to neutral and Euclidean geometry from an advanced standpoint. An introduction to non-Euclidean Geometries. Topics in Euclidean geometry to include congruence, area, parallelism, similarity, properties of circles and triangles, constructions, analytic and transformational geometry. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 . (MATH 3000 is strongly encouraged for mathematics majors and may be taken concurrently with MATH 3215.)
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MATH 3300 - Analysis I
Units: 4
Field properties of the real and complex numbers. Sequences of real numbers, Bolzano-Weierstrass theorem. Topology of Rn, metric spaces, connected and compact sets. Limits, continuity, intermediate and extreme value theorems. Other topics as time permits. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 . (MATH 3000 is strongly encouraged for mathematics majors and may be taken concurrently with MATH 3300.)
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MATH 3301 - Analysis II
Units: 4
Continuity, uniform continuity. Sequences and series of functions. Differentiation, chain rule, implicit and inverse function theorems. Introduction to Riemann Integration. Prerequisites: MATH 3300 .
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MATH 3331 - Differential Equations
Units: 4
Methods of solution and applications of first order differential equations. Linear n-th order equations with emphasis on equations of 2nd order. Other topics may include power series solutions, Laplace transforms, linear systems. Prerequisites: MATH 2304 .
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MATH 3361 - Ordinary Differential Equations
Units: 4
Series solution of linear differential equations with variable coefficients, two point boundary value problems, systems of differential equations, phase plane analysis. Prerequisites: MATH 2101 and MATH 3331 .
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MATH 3600 - Number Theory
Units: 4
Euclid’s algorithm, prime numbers, congruences, theorems of Fermat and Euler, quadratic residues. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 . (MATH 3000 is strongly encouraged for mathematics majors and may be taken concurrently with MATH 3600.)
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MATH 3750 - Numerical Analysis I
Units: 4
Basic numerical methods and analysis; practical solutions of problems from engineering, science, and mathematics. Computer representation of real numbers, errors, root finding, interpolation, numerical integration, ordinary differential equations. Prerequisites: CS 1160 , MATH 2101 and MATH 2304 . Cross-listed: CS 3750 .
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MATH 3841 - Linear Programming
Units: 4
Problems of maximizing or minimizing a linear function subject to linear constraints; typical applications involve planning (“programming”) the allocation of limited resources to achieve an optimal result. Topics include problem formulation, solution procedures, duality theory, sensitivity analysis, special problems (e.g., transportation and assignment problems). Prerequisites: MATH 2304 and competence in matrix algebra.
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MATH 3875 - Mathematical Physics
Units: 4
Mathematics theory and methods with applications to physics. In class physics laboratory explorations will utilize mathematical techniques to better understand physics phenomena. Prerequisites: MATH 1305 . Co-requisites: MATH 2304 . Cross-listed: PHYS 3875 .
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MATH 3898 - Cooperative Education
Units: 1-4
Supervised work experience in which student completes academic assignments integrated with off-campus paid or volunteer activities. Prerequisites: At least 2.0 GPA; departmental approval of activity; completion of lower division Mathematics major requirements and upper division standing. A maximum of 2 units will be accepted toward the Mathematics major. Repeatability: May be repeated for credit, for a maximum of 8 units. Grading: CR/NC grading only.
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MATH 4012 - Geometry and Measurement
Units: 4
Properties of 2- and 3-dimensional figures including congruence, similarity, proportional reasoning, area, perimeter, volume, surface area. Informal constructive proofs of properties of angles, polygons, parallel lines and the Pythagorean theorem. Transformational geometry. Measurement systems, estimation, coordinate geometry. Intended for prospective elementary and junior high school teachers. Prerequisites: MATH 2011 . Credit Restrictions: Not open to students with credit for MATH 4022. Mathematics and Computer Science majors will not receive credit for this course.
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MATH 4013 - Statistics, Data Analysis, and Probability
Units: 4
Displaying and interpreting data via graphs, tables and charts. Descriptive statistics, including mean, median, mode and range. Basic Survey design, including possible sources of biases. Elementary discrete probability. Dependent and independent events. Intended for prospective elementary and junior high school teachers. Prerequisites: MATH 2011 and satisfactory completion of the Entry Level Mathematics requirement. Credit Restrictions: Not open to students with credit for MATH 4023. Mathematics and Computer Science majors will not receive credit for this course. Cross-listed: STAT 4013 .
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MATH 4014 - Algebra and Functions
Units: 4
Patterns and functional relationships. Linear and quadratic equations and inequalities. Interpretation of graphs, multiple representations of functions. Factoring and completing the square. Proportional reasoning. Systems of linear equations. Intended for prospective elementary and junior high school teachers. Prerequisites: MATH 2011 and satisfactory completion of the Entry Level Mathematics requirement. Credit Restrictions: Not open to students with credit for MATH 4024. Mathematics and Computer Science majors will not receive credit for this course.
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MATH 4030 - Advanced Study of School Mathematics
Units: 4
Foundations of school mathematics from an advanced standpoint. An in depth study of middle and high school level algebra, geometry and number theory and its applications, theoretical foundations and extensions. Intended for prospective elementary and middle school teachers. Prerequisites: MATH 2011 and MATH 1130 or consent of instructor. Credit Restrictions: Mathematics and Computer Science majors will not receive credit for this course. Grading: A-F grading only.
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MATH 4040 - History of Mathematics
Units: 4
The historical development of mathematical ideas and techniques. Prerequisites: Calculus or consent of instructor.
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MATH 4100 - Mathematical Logic
Units: 4
The propositional calculus and its completeness. Boolean algebras. Functional calculi of various orders. Theorems of Godel and Henkin. Prerequisites: Senior standing in mathematics or consent of instructor.
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MATH 4121 - Advanced Algebra
Units: 4
Theory of groups, including factor groups, Jordan-Holder Theorem, Sylow theorems. Mappings and homomorphisms. Introduction to rings and fields. Topics continued in MATH 6121 . May not be applied towards the Mathematics, M.S. degree. Prerequisites: MATH 3122 . May not earn credit for MATH 6119 .
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MATH 4151 - Graph Theory
Units: 4
Introduction to graph theory. Graphic sequences. Planar graphs and the theorems of Euler and Kuratowski. Bipartite graphs. Connectivity and spanning trees. Hamiltonian graphs. Matching, chromatic and characteristic polynomials. Cospectral graphs and the graph isomorphism problem. Algorithms. Prerequisites: MATH 2101 and either MATH 2150 or MATH 3000 .
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MATH 4215 - Topics in Geometry
Units: 4
Topics in geometry such as algebraic, differential, finite, or projective geometry, convexity, packing and tiling, polytopes, and isoperimetric problems. Prerequisites: MATH 3215 or consent of instructor. Repeatability: May be repeated once for credit with consent of the chair, for a maximum of 8 units.
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MATH 4235 - Introduction to Knot Theory
Units: 4
An introduction to the theory of knots and links. Topics covered include Reidemeister moves, knot invariants, including 3-colorings, the linking number, the Alexander polynomial, the Kauffman bracket and Jones polynomial. As time permits, some applications in biology and/or chemistry will be discussed. Prerequisites: MATH 3121 .
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MATH 4340 - Introduction to Complex Variables
Units: 4
Introduction to theory of functions of complex variables. May not be applied towards the Mathematics, M.S. degree. Prerequisites: MATH 3300 .
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MATH 4350 - Theory of Functions of a Real Variable
Units: 4
Pointwise and uniform convergence, Taylor series, Riemann integration, sets of measure zero, Lebesgue’s theorem on the Riemann integral, the metric space of continuous functions, and selected topics. Credit Restrictions: May not be applied towards the Mathematics M.S. degree. Not open to students with credit for MATH 6349 .
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MATH 4360 - Introduction to Topology
Units: 4
Topological spaces, metric spaces, continuity, connectedness and compactness. Prerequisites: MATH 3300 . Credit Restrictions: May not be applied towards the Mathematics M.S. degree. Not open to students with credit for MATH 6200.
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MATH 4361 - Partial Differential Equations
Units: 4
Differential equations of physics: the wave equation, the heat equation, Laplace’s equation; boundary-value problems. Elementary Sturm-Liouville theory, Fourier series, Fourier and Laplace transforms, Bessel functions, selected topics. Prerequisites: MATH 3331 .
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MATH 4365 - Dynamical Systems
Units: 4
Introduction to dynamical systems and applications. Variational calculus, Lagrangian dynamics, principle of critical action, Hamiltonian systems and symplectic mechanics, Hamilton-Jacobi equation, chaotic and nonlinear systems, fractals. Prerequisites: MATH 3100 , MATH 3300 , MATH 3331 , or consent of instructor.
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MATH 4750 - Numerical Analysis II
Units: 4
Continuation of MATH 3750 . Numerical solution of linear systems, matrix norms, approximation of functions, algebraic eigenvalues. Prerequisites: MATH 3750 /CS 3750 .
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MATH 4841 - Topics in Optimization
Units: 4
Sequel to MATH 3841 . Topics to be drawn from linear and/or nonlinear programming. Linear programming topics may include integer programming, game theory, network programming; nonlinear programming topics include optimality conditions and solution procedures for unconstrained and constrained optimization problems. Prerequisites: MATH 3841 . Repeatability: May be repeated once for credit with consent of the chair, for a maximum of 8 units.
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MATH 4842 - Advanced Topics in Optimization
Units: 4
Topics selected from quasi-Newton methods for multi-variable unconstrained optimization; nonlinear least squares; quadratic programming; constrained optimization with nonlinear constraints; convex optimization. Prerequisites: MATH 3750 and MATH 3841 or permission of instructor. Repeatability: May be repeated once for credit, with consent of the Mathematics Graduate Studies Committee, for a maximum of 8 units.
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MATH 4845 - Fuzzy Sets and Fuzzy Logic
Units: 4
(See CS 4845 for course description.)
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