Jun 21, 2024  
2016-2017 University Catalog 
    
2016-2017 University Catalog [ARCHIVED CATALOG]

Course Descriptions


Prefix and Course Index 

 

Mathematics

Courses are designated as MATH in the class schedule.

  
  • MATH 125W - Precalculus Workshop (1)


    Supplementary problem-solving workshop in a collegial setting. One or more sections may be offered in any online format.

    Corequisites: MATH 125  and consent of instructor.
  
  • MATH 130 - A Short Course in Calculus (4)


    Survey of differential and integral calculus and applications. For students of biological and social sciences, business and economics. If a student takes MATH 130 and MATH 135 and earns a “C” or better in both courses, the second course receives credit. If the student only succeeds in one of the two courses, credit is given for the course successfully completed. Six units of credit are given if both MATH 130 and MATH 150A  are taken.

    Prerequisites: three years of high school mathematics, including two years of algebra and one year of geometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption. MATH 115  or MATH 125 .
  
  • MATH 130W - Short Calculus SI Workshop (1)


    Supplementary instruction student-centered workshop focusing on problem-solving in calculus.

    Corequisite: MATH 130  or MATH 135 .
  
  • MATH 135 - Business Calculus (3)


    Survey of differential and integral calculus with applications, including derivatives, integrals and max-min problems. For students of business and economics. If a student takes MATH 130  and MATH 135 and earns a C or better in both courses, the second course receives credit. If the student only succeeds in one of the two courses, then credit is given for the course successfully completed. Six units of credit are given if both MATH 135 and MATH 150A   are taken.

    Prerequisites: three years of high school mathematics, including two years of algebra and one year of geometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption. MATH 115  or MATH 125  with a grade of “C” (2.0) or better is an MQE exemption.
  
  • MATH 135W - Short Calculus SI Workshop (1)


    Supplementary instruction student-centered workshop focusing on problem-solving in business calculus.

    Prerequisite: concurrent enrollment in MATH 135 .
  
  • MATH 150A - Calculus I (4)


    Properties of functions. The limit, derivative and definite integral concepts; applications of the derivative, techniques and applications of integration. Six units of credit are given for both MATH 130  and MATH 150A, or for both MATH 135  and MATH 150A.

    Prerequisites: four years of high school mathematics, including geometry, two years of algebra and trigonometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption. MATH 125 , with a grade of “C” (2.0) or better, is an MQE exemption.
  
  • MATH 150B - Calculus II (4)


    Techniques of integration, improper integrals and applications of integration. Introduction to differential equations. Parametric equations, sequences and series.

    Prerequisite: MATH 150A .
  
  • MATH 151A - Calculus I Workshop (1)


    Supplementary problem-solving in a collegial setting.

    Corequisites: MATH 150A  and consent of instructor.
  
  • MATH 151B - Calculus II Workshop (1)


    Supplementary problem-solving in a collegial setting.

    Corequisites: MATH 150B  and consent of instructor.
  
  • MATH 196 - Student-to-Student Tutorials (1-3)


    Consult “Student-to-Student Tutorials” in this catalog for more complete course description. May be taken Credit/No Credit only.

  
  • MATH 250A - Calculus III (4)


    Calculus of functions of several variables. Partial derivatives and multiple integrals with applications. Parametric curves, vector-valued functions, vector fields, line integrals, Green’s Theorem, Stokes’ theorem, the Divergence Theorem, vectors and the geometry of 3-space.

    Prerequisites: MATH 150A , MATH 150B .
  
  • MATH 250B - Introduction to Linear Algebra and Differential Equations (4)


    Introduction to the solutions of ordinary differential equations and their relationship to linear algebra. Topics include matrix algebra, systems of linear equations, vector spaces, linear independence, linear transformations and eigenvalues.

    Prerequisite: MATH 250A .
  
  • MATH 251A - Calculus III Workshop (1)


    Supplementary problem-solving workshop in a collegial setting.

    Corequisite: MATH 250A  and consent of instructor.
  
  • MATH 270A - Mathematical Structures I (3)


    First of two semesters of fundamental discrete mathematical concepts and techniques needed in computer-related disciplines. Logic, truth tables, elementary set theory, proof techniques, combinatorics and Boolean algebra.

    Prerequisite: four years of high school mathematics.
  
  • MATH 270B - Mathematical Structures II (3)


    Second of two semesters of fundamental discrete mathematical concepts and techniques needed in computer-related disciplines. Graph theory, algebraic structures and linear algebra.

    Prerequisite: MATH 270A .
  
  • MATH 280 - Strategies of Proof (3)


    Logic, set theory and methods for constructing proofs of mathematical statements. A bridge to the rigors of upper-division mathematics courses containing significant abstract content.

    Prerequisite: MATH 150B .
  
  • MATH 302 - Modern Algebra (3)


    Integers, rational numbers, real and complex numbers, polynomial domains, introduction to groups, rings, integral domains and fields.

    Prerequisites: MATH 250B , MATH 280 .
  
  • MATH 303A - Fundamental Concepts of Elementary Mathematics (3)


    Structure and form of the mathematics that constitutes the core of the K-8 mathematics curriculum, including number sense, number theory and problem solving.

    Prerequisite: completion G.E. Category B.4.
  
  • MATH 303B - Fundamental Concepts of Elementary Mathematics (3)


    Structure and form of the mathematics that constitutes the core of the K-8 mathematics curriculum, including the real number system, geometry, probability and statistics and problem solving.

    Prerequisites: MATH 303A  with a “C” (2.0) or better and completion G.E. Category B.4.
  
  • MATH 306 - Vector and Tensor Analysis (3)


    Vector analysis, including coordinate bases, gradient, divergence and curl, Green’s, Gauss’ and Stokes’ theorems. Tensor analysis, including the metric tensor, Christoffel symbols and Riemann curvature tensor. Applications will be drawn from differential geometry, continuum mechanics, electromagnetism, general relativity theory.

    Prerequisite: MATH 250B .
  
  • MATH 307 - Linear Algebra (3)


    Theoretical aspects of abstract vector spaces. Linear transformations: isomorphisms, matrix representations, change of coordinates, eigenvalues and eigenvectors, diagonalizability, Jordan canonical form. Theoretical aspects of inner product spaces.

    Prerequisites: MATH 250B  and MATH 280 .
  
  • MATH 310 - Ordinary Differential Equations (3)


    Theory and methods of solutions for ordinary differential equations, including Laplace transform methods and power series methods. Oscillation theory for second order linear differential equations and/or theory for systems of linear and nonlinear differential equations.

    Prerequisite: MATH 250B .
  
  • MATH 320 - Introduction to Mathematical Computation (3)


    Introduction to problem-solving on the computer using modern interactive software. Numerical and symbolic computation. Variety of problems arising in mathematics, science and engineering. Also serves as preparation for subsequent computer-based courses in mathematical modeling.

    Corequisite: MATH 250B .
  
  • MATH 335 - Mathematical Probability (3)


    Probability theory; discrete, continuous and multivariate probability distributions, independence, conditional probability distribution, expectation, moment generating functions, functions of random variables and the central limit theorem.

    Prerequisite: MATH 250A .
  
  • MATH 337 - Introduction to Experimental Design and Statistics in the Laboratory Sciences (3)


    Graphical and numerical descriptive statistics; experimental design, randomization, replication, block designs, stratified samples, controlled experiments versus observational studies. Fundamental inference for proportions, means, variances. Analysis of variance, regression. Computer analysis of data from the laboratory sciences, e.g., biology, chemistry, geology.

    Prerequisite: passing score on the ELM or exemption; BIOL 241, BIOL 261, CHEM 120, PHYS 211  or PHYS 225 .
  
  • MATH 338 - Statistics Applied to Natural Sciences (4)


    Introduction to the theory and application of statistics. Elementary probability, estimation, hypothesis testing, regression, variance analysis, non-parametric tests. Computer-aided analysis of real data. Graphical techniques, generating and interpreting statistical output, presentation of analysis.

    Prerequisite: MATH 130  or MATH 150B .
  
  • MATH 340 - Numerical Analysis (3)


    Approximate numerical solutions of systems of linear and nonlinear equations, interpolation theory, numerical differentiation and integration, numerical solution of ordinary differential equations. Computer coding of numerical methods.

    Prerequisites: MATH 250B ; MATH 320 , CPSC 120  or CPSC 121  
  
  • MATH 350 - Advanced Calculus I (3)


    Development of the theoretical foundations of calculus with an emphasis on mathematical rigor and formal proof. Algebraic and topological properties of the real numbers; limits of sequences and functions; continuity, differentiation and integration of functions of one variable; infinite series.

    Prerequisites: MATH 250B  and MATH 280 .
  
  • MATH 368 - First Course in Symbolic Logic (3)


    Recognition and construction of correct deductions in the sentential logic and the first-order predicate calculus. (MATH 368 AND PHIL 368 are the same course.)

    Prerequisite: entry level mathematics examination.
  
  • MATH 370 - Mathematical Model Building (3)


    Introduction to mathematical models in science and engineering: dimensional analysis, discrete and continuous dynamical systems, flow and diffusion models.

    Prerequisite: MATH 250B ; MATH 320 , CPSC 120  or CPSC 121 .
  
  • MATH 375 - Discrete Dynamical Systems and Chaos (3)


    Analysis of the evolution of linear and nonlinear deterministic discrete systems with emphasis on long range behavior, stability and instability of stationary states and periodic orbits, chaotic orbits, strange attractors, fractional dimension and Lyapunov exponents; examples from current research literature.

    Prerequisite: MATH 250B .
  
  • MATH 380 - History of Mathematics (3)


    History of mathematics through its methods and concepts. Designed to help the student become proficient in writing and reading mathematical literature. Satisfies the upper-division writing requirement for mathematics majors.

    Prerequisite: MATH 150B .
  
  • MATH 390 - Introduction to Actuarial Science (3)


    Fundamentals of actuarial science, including risk theory, interest theory, rate making, loss reserve, and actuarial modeling. Selective corporate finance, investment and insurance topics, such as amortization, bonds, sinking funds, securities, annuities and pensions.

    Prerequisite: MATH 150B . Corequisites: MATH 335 , MATH 338  or ISDS 361A .
  
  • MATH 401 - Algebra and Probability for the Secondary Teacher (3)


    Mathematical topics relevant to the teacher of secondary mathematics. Problem-solving approach to different areas including algebra, number theory, combinatorics and probability, while maintaining a historical perspective.

    Prerequisites: 12 units of upper-division mathematics exclusive of MATH 303A , MATH 303B , MATH 403A  or MATH 403B .
  
  • MATH 402 - Logic and Geometry for the Secondary Teacher (3)


    Parallel to MATH 401 , but emphasizing Euclidean geometry, logic and problem-solving from an historical perspective.

    Prerequisites: 12 units of upper-division mathematics exclusive of MATH 303A , MATH 303B , MATH 403A  or MATH 403B .
  
  • MATH 403A - Fundamental Concepts of Middle School Mathematics I (3)


    Content background in mathematics to help satisfy credentialing requirements for teaching mathematics at the middle school level. Focuses on gaining a thorough understanding of algebra, including patterns, functions and the use of technology.

    Prerequisite: MATH 303B .
  
  • MATH 403B - Fundamental Concepts of Middle School Mathematics II (3)


    Content background in mathematics to help satisfy credentialing requirements for teaching mathematics at the middle school level. Focuses on gaining a thorough understanding of advanced algebra, geometry, probability and statistics and the use of technology.

    Prerequisite: MATH 403A .
  
  • MATH 406 - Introduction to Partial Differential Equations (3)


    First order linear and quasi-linear partial differential equations. Classification of second order linear partial differential equations. Fourier analysis, Sturm-Liouville theory, integral transforms and their application to boundary-value problems for the potential, wave, and diffusion equations.

    Prerequisite: MATH 306 .
  
  • MATH 407 - Abstract Algebra (3)


    Sets, mappings, groups, rings, modules, fields, homomorphisms, advanced topics in vector spaces and theory of linear transformations, matrices, algebras, ideals, field theory, Galois theory.

    Prerequisite: MATH 302 .
  
  • MATH 412 - Complex Analysis (3)


    Complex differentiation and integration, Cauchy’s theorem and integral formulas, maximum modulus theorem, harmonic functions, Laurent series, analytic continuation, entire and meromorphic functions, conformal transformations and special functions.

    Prerequisite: MATH 350 .
  
  • MATH 414 - Topology (3)


    Topological spaces and continuous functions, connectedness and compactness, metric spaces and function spaces.

    Prerequisite: MATH 350 .
  
  • MATH 417 - Foundations of Geometry (3)


    Foundations of Euclidean and non-Euclidean geometries through transformations and formal axiomatics.

    Prerequisite: MATH 307 .
  
  • MATH 425 - Differential Geometry (3)


    Differential geometry of curves and surfaces. Frenet-Seret formulas, Gauss-Weingarten equations, Gauss-Bonnet theorem.

    Prerequisite: MATH 307 .
  
  • MATH 430 - Number Theory (3)


    Basic concepts of classical number theory with modern applications. Divisibility, congruences. Diophantine approximations and equations, primitive roots, continued fractions. Applications to public key cyprotography, primality testing, factoring methods and check digits.

    Prerequisite: MATH 302 .
  
  • MATH 435 - Mathematical Statistics (3)


    Statistical theory and its applications, based on the use of calculus.

    Prerequisite: MATH 335 .
  
  • MATH 436 - Advanced Applied Statistics (4)


    Linear models, including mixed models, applied to experimental and field data from current research projects. Poisson and logistic regression. Model fitting and checking; use of permutation tests as needed. Presentation of results suitable for publication (3 hours lecture, 3 hours laboratory) (BIOL 436 and MATH 436 are the same course.)

    Prerequisites: MATH 337 , MATH 338  with a “C” (2.0) or better, or graduate standing.
  
  • MATH 437 - Modern Approaches to Data Analysis (4)


    Nonparametric statistical inference, including methods based on rank and order; resampling, including bootstrap; smoothing histograms, including kernel and smoothing-spines; clustering with logistic and multinomial models, hierarchical clustering and k-means; inference based on posterior distributions, learning and neural networks. (3 hours lecture, 2 hours activity)

    Prerequisites: MATH 335 , MATH 439 .
  
  • MATH 438 - Introduction to Stochastic Processes (3)


    Stochastic processes, including Markov chains, Poisson Process, Wiener Process. Applications to birth and death processes and queuing theory.

    Prerequisite: MATH 335 .
  
  • MATH 439 - Intermediate Data Analysis (3)


    Simple and multiple linear regression, testing hypotheses, dummy variables, ANOVA, ANCOVA, confounding and interaction, diagnostics, influence and outliers, transformation and weighting and model selection. Introductory nonlinear and logistic regression. SAS statistical software will be used.

    Prerequisite: MATH 250B  or MATH 270B  ; MATH 338 .
  
  • MATH 440 - Advanced Numerical Analysis (3)


    Advanced topics in numerical analysis selected from iterative methods for linear systems, approximation of eigenvalues and eigenvectors, numerical methods for ordinary and partial differential equations, optimization methods and approximation theory. Error and convergence analysis and computer coding.

    Prerequisite: MATH 340 .
  
  • MATH 450 - Advanced Calculus II (3)


    Sequences and series of functions. Continuity, differentiation and integration of functions of several variables. Advanced topics in analysis, such as Lebesgue integration or the theory of metric spaces.

    Prerequisite: MATH 350 .
  
  • MATH 460 - Actuarial Models (3)


    Introduction to a variety of useful frequency, survival and severity models used to model insurance risks. Determining suitable model parameters and assumptions and the appropriate inferences based upon these models.

    Prerequisites: MATH 335 , MATH 338  with a “C” or better in each.
  
  • MATH 470 - Advanced Mathematical Model Building (3)


    A capstone course for students with strong mathematical preparation. Stochastic models, Monte Carlo integration, simulation of discrete event systems, simulation software and further studies in dynamic systems and flow and diffusion models.

    Prerequisites: MATH 307 , MATH 335 , MATH 370 .
  
  • MATH 471 - Combinatorics (3)


    Analyze discrete structures, including existence, enumeration, and optimization. Permutations and combinations, combinatorial identities, the inclusion-exclusion principle, recurrence relations, Polya counting. Basic definitions and properties of graphs, Eulerian and Hamiltonian graphs, trees, graph colorings and chromatic number, planar graphs.

    Prerequisite: MATH 302  or MATH 307 .
  
  • MATH 480M - MARC Proseminar (1)


    Intended to increase the contact of MARC Fellows with minority scientists of national repute who will present seminars. Fellows will read and discuss relevant primary literature, attend the seminars, and meet with speakers before and after the seminars. May be repeated for a maximum of 4 units. (BIOL 480M, CHEM 480M and PSYC 480M are the same course.)

    Prerequisite: selection as MARC Fellow.
  
  • MATH 489A - Applicable Linear Algebra (3)


    Topics from linear algebra useful in graduate studies in applied mathematics. Finite and infinite dimensional vector spaces, linear transformations and matrices. Introduction to Hilbert spaces. Projection theorem and some of its applications.

    Prerequisites: linear algebra, advanced calculus and consent of instructor.
  
  • MATH 489B - Applicable Analysis (3)


    Topics from analysis useful in graduate studies in applied mathematics. Topics may include initial and boundary value problems, including series solutions, eigenvalues and eigenfunctions, Fourier analysis, generalized functions, an introduction to the calculus of variations, and transform methods.

    Prerequisites: undergraduate calculus, linear algebra, advanced calculus and consent of instructor. Corequisite: MATH 489A .
  
  • MATH 491 - Research Seminar (1)


    Students are required to attend the weekly undergraduate research seminars and give at least one seminar presentation as determined by the faculty adviser. May be repeated for a maximum of 12 units.

    Prerequisite: consent of instructor. Corequisite: MATH 497  or MATH 498 .
  
  • MATH 495 - Internship in Applied Mathematics (1-3)


    Work experience in advanced mathematics through positions in business, industry or government. May be repeated for a maximum of 6 units.

    Prerequisites: 15 units of upper-division mathematics and consent of instructor.
  
  • MATH 496 - Student-to-Student Tutorials (1-3)


    Consult “Student-to-Student Tutorials” in this catalog for more complete course description. May be repeated for a maximum of 3 units. May be taken Credit/No Credit only.

  
  • MATH 497 - Undergraduate Research (1-3)


    Methods of research in the mathematical sciences through a research project supervised by a departmental faculty member. May be repeated for a maximum of 6 units.

    Prerequisites: nine units of upper-division mathematics and consent of instructor.
  
  • MATH 498 - Senior Thesis (2)


    Preparation, presentation and defense of a thesis. Topic approved by the undergraduate research committee. Thesis formatted in accordance with journal in field. May not be repeated for credit.

    Prerequisites: six units MATH 497  (up to 2 units concurrently) and consent of instructor.
  
  • MATH 499 - Independent Study (1-3)


    Special topic in mathematics, selected in consultation with and completed under supervision of instructor. May be repeated for a maximum of 6 units.

    Prerequisite: consent of instructor.
  
  • MATH 501A - Numerical Analysis and Computation I (3)


    Numerical methods for linear and nonlinear systems of equations, eigenvalue problems. Interpolation and approximation, spline functions, numerical differentiation, integration and function evaluation. Error analysis, comparison, limitations of algorithms.

    Prerequisites: MATH 489A , MATH 489B . Corequisite: MATH 501B .
  
  • MATH 501B - Numerical Analysis and Computation II (3)


    Numerical methods for initial and boundary-value problems for ordinary and partial differential equations. The finite element method. Error analysis, comparison, limitations of algorithms.

    Prerequisites: MATH 489A , MATH 489B . Corequisite: MATH 501A .
  
  • MATH 502A - Probability and Statistics I (3)


    Theory and applications of probability models including univariate and multivariate distributions; expectations and transformations of random variables.

    Prerequisites: MATH 335 , MATH 489A , MATH 489B . Corequisite: MATH 502B .
  
  • MATH 502B - Probability and Statistics II (3)


    Theory and applications of sampling theory, statistical estimation and hypothesis testing.

    Prerequisite: MATH 335 , MATH 489A , MATH 489B . Corequisite: MATH 502A 
  
  • MATH 503A - Mathematical Modeling I (3)


    Mathematical modeling concepts. Topics may include: dimensional analysis, scaling and sensitivity; system concepts, state space, observability, controllability and feedback; dynamical systems, models and stability analysis; optimization models.

    Prerequisites: MATH 489A , MATH 489B , MATH 501A , MATH 501B .
  
  • MATH 503B - Mathematical Modeling II (3)


    Development and analysis of mathematical models in such areas as mechanics, economic planning, operations management, environmental and ecological sciences, biology and medicine.

    Prerequisite: MATH 503A .
  
  • MATH 504A - Simulation Modeling and Analysis (3)


    Advanced techniques of simulation modeling, including the design of Monte Carlo, discrete event and continuous simulations. Topics may include output data analysis, comparing alternative system configurations, variance-reduction techniques and experimental design and optimizatio

    Prerequisites: MATH 501A , MATH 501B , MATH 502A , MATH 502B , MATH 503A , MATH 503B .
  
  • MATH 504B - Applications of Simulation Modeling Techniques (3)


    Introduction to a modern simulation language and its application to simulation modeling. Developing computer models to demonstrate the techniques of simulation modeling, model verification, model validation and methods of error analysis.

    Prerequisites: MATH 501A , MATH 501B , MATH 502A , MATH 502B , MATH 503A , MATH 503B . Corequisite: MATH 504A .
  
  • MATH 531T - Advanced Topics in Statistics (3)


    Introduction to cutting-edge developments in statistics. Topics may include Spatial Statistics, Time Series Analysis and Forecasting, SAS Programming for Statistical Data Analysis, and Statistical Computing in SAS/SQL. One or more sections may be offered in any online format.

    Prerequisite: MATH 502A , MATH 502B , MATH 534 .
  
  • MATH 534 - Statistical Computing (3)


    Numerical methods in linear and nonlinear regression including Gauss-Jordan, QR, and Gauss-Newton algorithms. Maximum likelihood computation, including Newton, Fisher-scoring, quasi-Newton, and EM algorithms. Bayesian computations, including numerical integration, Monte-Carlo integration, and Markov chain Monte Carlo. Nonparametric inference including Bootstrap.

    Prerequisites: MATH 502A , MATH 502B , MATH 320 , MATH 307 .
  
  • MATH 535 - Applied Biostatistics (3)


    Analyze survival data using parametric, nonparametric, semi-parametric methods, censoring and truncation, survival/hazard functions, parametric models, life-tables, Kaplan-Meier and Nelson-Aalen estimators, log-rank test, Cox proportional hazards models, partial likelihood, time-dependent covariates, additive hazards models, diagnostics and competing risks.

    Prerequisites: MATH 502A , MATH 502B .
  
  • MATH 536 - Categorical Data Analysis (3)


    Inference for two-way contingency tables, generalized linear models, logistic regression, logit and probit models, log-linear models, model fitting and estimation of log-linear parameters, strategies in model selection, log-linear models for ordinal variables, Poisson regression and Poisson log-linear models.

    Prerequisite: MATH 502A , MATH 502B .
  
  • MATH 537 - Multivariate Analysis (3)


    Multivariate normal distribution, comparison of several multivariate means, multivariate linear regression models, elliptically contoured distributions, estimation of orthogonal and oblique factors, inference for structured covariance matrices, simultaneous equation models, classification functions, procrustes analysis and graphical models.

    Prerequisites: MATH 307 , MATH 502A , MATH 502B .
  
  • MATH 538 - Bayesian Statistics (3)


    Fundamentals of Bayesian inference including informative and noninformative priors for single and multiparameter models, Bayesian asymptotics, hierarchical models, Metropolis Hastings and Gibbs sampler algorithms, model checking, Bayesian design of experiments, Bayesian linear models and generalized linear models, and neural networks.

    Prerequisites: MATH 502A , MATH 502B , MATH 534 .
  
  • MATH 539 - Statistical Consulting (3)


    Ethics, the communication aspects of consulting with clients, the formulation of statistical problems, recommendations of design protocols, selection of appropriate statistical methods, data analysis and interpretations of results including writing proper reports. Course based on case studies.

    Prerequisites: MATH 502A , MATH 502B .
  
  • MATH 571 - Survey of Mathematical Modeling and Bioinformatics (3)


    Introduction to the strategies, approaches and computer applications utilized for drug discovery and design, database design and data mining. Case studies will illustrate specific applications of the methods of measuring, visualizing, representing, inferring, clustering, classifying and modeling biotechnological data. (BIOL 571 and MATH 571 are the same course.)

    Prerequisite: MGMT 540  and acceptance into the PABS MBt degree program. Corequisites: BIOL 570 , BIOL 572 .
  
  • MATH 580 - Studies in Historical Mathematics (3)


    Topics in mathematics history emphasizing impact of different cultures on mathematical thought and practice across time. Meets graduate writing requirement.

    Prerequisites: graduate standing.
  
  • MATH 581 - Studies in Geometry (3)


    Topics relating to the high school curriculum from an advanced standpoint, including the axiomatic method and non-Euclidean geometry.

    Prerequisites: MATH 307 , graduate standing.
  
  • MATH 582 - Studies in Algebra (3)


    Topics relating to the high school curriculum from an advanced standpoint including algorithms, fields and polynomials.

    Prerequisites: MATH 302 , graduate standing.
  
  • MATH 583 - Studies in Statistics (3)


    Calculus-based course designed to teach appropriate strategies and tools to effectively address problems in statistics. Project design, exploratory data analysis and interpretation, and effective communication of results.

    Prerequisite: MATH 338 , graduate standing.
  
  • MATH 584 - Studies in Analysis (3)


    Topics relating to the high school curriculum from an advanced standpoint, including limits, continuity, differentiation and integration.

    Prerequisites: MATH 350 , graduate standing.
  
  • MATH 586 - Studies in Discrete Mathematics (3)


    Topics relating to the high school curriculum from an advanced standpoint, including induction, recursion, probability and combinatorics.

    Prerequisites: MATH 335  and graduate standing.
  
  • MATH 587 - Studies in Mathematical Problem Solving (3)


    Problem solving via non-routine and enrichment-type problems from several different branches of mathematics.

    Prerequisites: MATH 302 , graduate standing.
  
  • MATH 597 - Project (3-6)


    May be repeated for credit. Students in the Applied Master’s Program may take for credit for a maximum of 6 units.

    Prerequisite: consent of instructor.
  
  • MATH 599 - Independent Graduate Research (1-3)


    Normally taken in conjunction with required graduate courses. Also offered without being attached to any course. May be repeated for a maximum of 6 units.

    Prerequisites: graduate standing and consent of instructor.

Mathematics Education

Courses are designated as MAED in the class schedule

  
  • MAED 442 - Teaching Mathematics in Secondary School (3)


    Research, standards, objectives, technology and methods for teaching mathematics. Required of mathematics majors for the general single subject credential. (2 hours lecture, 2 hours activity)

    Prerequisite: admission to Teacher Education Program in Mathematics. Corequisite: EDSC 440F .
  
  • MAED 449E - First Semester Student Teaching (3)


    See description under Department of Secondary Education.

  
  • MAED 449I - Second Semester Student Teaching (10)


    See description under Department of Secondary Education.

  
  • MAED 449S - Seminar in Secondary Teaching (3)


    See description under Department of Secondary Education.

  
  • MAED 499 - Independent Study (1-3)


    Special topic in mathematics education, selected in consultation with and completed under supervision of the instructor. May be repeated for a maximum of 6 units.

    Prerequisite: consent of instructor.
  
  • MAED 532 - Teaching Problem Solving in Middle School Mathematics (3)


    Seminar to explore techniques of problem-solving for mathematics teachers of grades 5-9. Review of research on problem solving at the middle school level. Review of state and national documents on middle school mathematics education. Emphasis on problem-solving in algebra, geometry, and probability

    Prerequisite: MATH 403B .
  
  • MAED 542 - Teaching Mathematics at the College Level (3)


    Strengthens student effectiveness in teaching mathematics at the college level. Strategies that promote student engagement, collaboration, retention and success, as well as appropriate use of technologies.

    Prerequisite: Full-time graduate standing.

Management

Courses are designated as MGMT in the class schedule.

  
  • MGMT 246 - Business and Its Legal Environment (3)


    Laws and regulations affecting the business environment and managerial decisions including the legal system and methods of dispute resolution. Topics include torts, crimes, contracts, product liability, business organization, employment, antitrust, environmental protection; incorporates ethical considerations and international perspectives. Uses case studies.

  
  • MGMT 335 - Family Business Dynamics (3)


    Unique issues faced by family-owned and operated businesses. Textbooks, lecture and outside real-world projects explore the business, personal and interpersonal issues associated with family-owned businesses.

    Prerequisite: completion of lower-division business core.
  
  • MGMT 339 - Managing Operations (3)


    Integrates selected general management concepts with operations management concepts and techniques. Emphasizes the development of competencies required for effective planning, designing, operating, controlling and improving processes that produce and deliver quality goods and services. One or more sections may be offered in any online format.

    Corequisites: BUAD 301 , ISDS 361A .
  
  • MGMT 340 - Organizational Behavior (3)


    Social and cultural environments of business. Business ethics. Communication, leadership, motivation, perception, personality development, group dynamics and group growth. Human behavior and organizational design and management practice in American and world wide business. One or more sections may be offered in any online format

    Prerequisites: G.E. category in Social Sciences. Corequisites: BUAD 301 , ISDS 361A .
  
  • MGMT 343 - Human Resource Management (3)


    Human resource management functions in organizations. Topics include selection, recruiting, training, compensation and performance appraisal.

    Prerequisites: BUAD 301 , MGMT 340 .
 

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