Course Descriptions

Image: Photos of SF State students and scenes from around campus

Mathematics Discipline Courses Details

Hide details

MATH 50 : Preparatory Mathematics for Pathways Courses

Prerequisites: ELM scores below 50; restricted to students who have committed to take pathway course such as STAT way.
Description: Treatment of selected key topics from two remedial mathematics courses MATH/ESM 60 and MATH/ESM 70. Some selections are tailored to the needs of the subsequent pathway course, while other selections are meant to round out the students' quantitative literacy. (A/A-/B+/B/B-/C+/C/NC grading only.)
Units: 4

MATH 60 : Algebra I

Prerequisites: None
Description: Equivalent to first year high school algebra. Fundamental operations on numbers, polynomials, and rational expressions; factoring, linear equations, and inequalities. Units and grades earned do not count towards graduation requirements. ((A/A-/B+/B/B-/C+/C/NC grading only.)
Units: 3
Latest Offering: Spring 2014

MATH 70 : Algebra II

Prerequisites: A grade of C or better in MATH/ESM 60, or a score of 42 or above on ELM.
Description: Equivalent to second year high school algebra. Exponents, radicals, logarithms, systems of linear equations, complex numbers, quadratic equations. Units and grades earned do not count towards graduation requirements. (A/A-/+-B/C+/C/NC grading only.)
Units: 3
Latest Offering: Spring 2014

MATH 110 : Business Calculus

Prerequisites: ELM exempt status, or MATH/ESM 70 with grade of C or better.
Description: Functions, derivatives, and integrals. Applications of differentiation and integration, including optimization and moving averages. Problems involving business, finance, and economics. Elements of basic calculus.
General Education:
Units: 3
Latest Offering: Spring 2014

MATH 124 : Elementary Statistics

Prerequisites: Satisfactory completion of ELM requirement.
Description: Data analysis, probability, and statistical inference. For students in any field where statistics is a means of communication and a tool for decision making.
General Education:
  • Segment I Area - Quantitative Reasoning (QR)
Units: 3
Latest Offering: Spring 2014

MATH 165 : Concepts of the Number System

Prerequisites: Satisfactory completion of ELM requirement.
Description: Designed for prospective multiple subjects credential candidates. Understanding operations with whole numbers, fractions, and decimals. Problem solving strategies, numeration systems, and elementary number theory.
Units: 3
Latest Offering: Spring 2014

MATH 199 : Pre-Calculus

Prerequisites: Satisfactory completion of ELM requirement.
Description: Functions, graphing techniques, exponentials and logarithms, trigonometry. (Formerly MATH 109.)
Units: 4
Latest Offering: Spring 2014

MATH 226 : Calculus I

Prerequisites: Satisfactory completion of ELM requirement, acceptable score on the department's Calculus readiness test (instructions will be provided after enrollment), and one of the following: MATH 199 [formerly MATH 109] or equivalent with a grade of C or better; passing a high school math analysis or pre-calculus class with a grade of B or better.
Description: Graphs. Differentiation: theory, techniques, and applications. Integration: Fundamental Theorem of Calculus and applications. Transcendental functions.
General Education:
  • Segment I Area - Quantitative Reasoning (QR)
Units: 4
Latest Offering: Spring 2014

MATH 227 : Calculus II

Prerequisites: MATH 226 with a grade of C or better.
Description: Techniques of integration, analytic geometry, polar coordinates, vectors, improper integrals. Sequences and series.
Units: 4
Latest Offering: Spring 2014

MATH 228 : Calculus III

Prerequisites: MATH 227 with a grade of C or better.
Description: Three-dimensional analytic geometry, partial differentiation, multiple integrals, vector calculus. Classwork, 3 units; laboratory, 1 unit.
Units: 4
Latest Offering: Spring 2014

MATH 245 : Elementary Differential Equations and Linear Algebra

Prerequisites: MATH 228 with a grade of C or better.
Description: First and second order linear differential equations, Laplace transform methods, Fourier series, matrix algebra.
Units: 3
Latest Offering: Spring 2014

MATH 265 : Advanced Number Systems

Prerequisites: MATH 165 with grade of C or better.
Description: Designed for prospective multiple subject credential candidates, continues work done in MATH 165 with decimals and percents. Introduces operations with negative numbers. Additional topics include problem solving and elementary number theory.
General Education:
  • Segment I Area - Quantitative Reasoning (QR)
Units: 3

MATH 300 GW : History of Mathematics - GWAR

Prerequisites: ENG 214 or equivalent with a grade of C- or better; MATH 227 or equivalent with a grade of C or better.
Description: Survey of the history of mathematics, focusing on topics of interest to secondary mathematics teachers. Emphasis on telling the story of mathematics through researching and writing an expository paper. (ABC/NC grading only.)
Units: 3
Latest Offering: Spring 2014

MATH 301 GW : Exploration and Proof - GWAR

Prerequisites: MATH 227 and ENG 214 with grades of C or better.
Description: Informal exploration and proofs in mathematics; basic concepts of advanced mathematics courses. Exploratory thinking, elementary logic, sets, mathematical induction, the integers, relations, and functions. (ABC/NC grading only.)
Units: 3
Latest Offering: Spring 2014

MATH 310 : Elementary Number Theory

Prerequisites: MATH 227 and MATH 301 with grades of C or better.
Description: Divisibility, congruencies, power residues, quadratic reciprocity, diophantine equations. Number theoretic functions, continued fractions and rational approximation, partitions.
Units: 3
Latest Offering: Fall 2013

MATH 314 : Math Circle Seminar

Prerequisites: MATH 226 (or equivalent) with a grade of C or better.
Description: Opportunity to relate mathematics being learned to the teaching and learning of mathematics and problem-solving skills at the middle and high school levels through participation in math circles. [CSL may be available; consult index for page reference.]
Units: 3
Latest Offering: Spring 2009

MATH 324 : Probability and Statistics with Computing

Prerequisites: MATH 227 with grade of C or better, and computer experience that meets the approval of the instructor.
Description: Basic concepts of probability and statistics. Data analysis, probability distributions, confidence intervals, and hypothesis testing. Students use computer software to do statistical analyses.
Units: 3
Latest Offering: Spring 2014

MATH 325 : Linear Algebra

Prerequisites: MATH 227 with a grade of C or better; CSC 330 or MATH 301 recommended.
Description: Vector spaces, linear transformations, elements of matrix algebra including determinants and eigenvalues.
Units: 3
Latest Offering: Spring 2014

MATH 335 : Modern Algebra

Prerequisites: MATH 301 with grade of C or better or consent of instructor; MATH 325 with grade of C or better.
Description: Introduction to groups, rings, integral domains, fields, and ordering.
Units: 3
Latest Offering: Spring 2014

MATH 338 : Introduction to SAS

Prerequisites: MATH 124 (or equivalent) and one of the following: CSC 210, CSC 309, MATH 309, or consent of instructor, with grades of C or better.
Description: Using SAS software for data management, presentation of data using graphs and reports, calculation of basic statistics such as mean, standard error, percentiles. Analysis of data using t-test, Chi-square test, regression, and analysis of variance.
Units: 3
Latest Offering: Fall 2013

MATH 340 : Probability and Statistics I

Prerequisites: MATH 228 with a grade of C or better (may be taken concurrently). Recommended: MATH 124 or equivalent.
Description: Probability spaces, elementary combinatorics, random variables, independence, expected values, moment generating functions, selected probability distributions, limit theorems and applications.
Units: 3
Latest Offering: Spring 2014

MATH 350 : Geometry

Prerequisites: MATH 228 and MATH 301 with grades of C or better.
Description: Introduction to the origin and foundations of geometry: Euclidean, non-Euclidean geometries, more recent approaches. Quick survey of high school geometry. Classification and representation of motions and similarities. Projections, homogeneous coordinates.
Units: 3
Latest Offering: Spring 2014

MATH 370 : Real Analysis I

Prerequisites: MATH 228 and MATH 301 with grades of C or better.
Description: Critical development of analysis: Bolzano-Weierstrass and Heine-Borel theorems; limits, continuity, differentiability, integrability.
Units: 3
Latest Offering: Spring 2014

MATH 375 : Field Study for Secondary Teachers

Prerequisites: MATH 301 with grade of C or better, or consent of instructor. Completion of tuberculosis test and fingerprinting for work in the public schools.
Description: Opportunity for students to relate the mathematics they are learning to the teaching and learning of mathematics at the middle and high school levels; at the same time, fulfill the 45-hour field experience requirement for prospective teachers.
Units: 3
Latest Offering: Fall 2013

MATH 376 : Ordinary Differential Equations I

Prerequisites: MATH 228 and MATH 325 with grades of C or better.
Description: First-order differential equations, second-order linear equations with constant coefficients, graphical and numberical methods, systems of differential equations and phase-plane analysis, existence and uniqueness theorems.
Units: 3
Latest Offering: Fall 2013

MATH 380 : Introduction to Functions of a Complex Variable

Prerequisites: MATH 228 with a grade of C or better.
Description: Analytic functions of a complex variable. Cauchy's theorem, power series, laurent series, singularities, residue theorem with applications to definite integrals. Conformal mappings.
Units: 3
Latest Offering: Spring 2014

MATH 400 : Numerical Analysis

Prerequisites: MATH 228, MATH 325, and either MATH 309 or CSC 210, all with grades of C or better.
Description: Numerical solution of algebra and calculus problems. Interpolation and approximations; direct and iterative methods for solutions of linear equations. Gaussian elimination. Numerical differentiation and integration; solution of ordinary differential equations.
Units: 3
Latest Offering: Spring 2014

MATH 414 : Analyzing DNA Topology with Math/Computational Methods

Prerequisites: MATH 228 (or equivalent) with grade of C or better.
Description: Students from mathematics, computer science and biology will be introduced to mathematical and computational techniques used to analyze DNA structure. Strong interaction between math and biology is emphasized. (Paired with MATH 714. Students who have completed MATH 714 may not take MATH 414 for credit.)
Units: 3
Latest Offering: Spring 2013

MATH 420 : Combinatorics

Prerequisites: MATH 301 and one of the following: MATH 310, MATH 325, CSC 330; with grades of C or better.
Description: An introduction to fundamental combinatorial objects, their uses in other fields of mathematics and its applications, and their analysis. Does an object with certain prescribed properties exist? How many of them are there? What structure do they have? Paired with MATH 720. Students who have completed MATH 720 may not take MATH 420 for credit.
Units: 3
Latest Offering: Spring 2013

MATH 424 : Introduction to Linear Models

Prerequisites: MATH 227 and 325 with grades of C or better.
Description: Theory and applications of Linear Models, Multiple Regression, Analysis of Variance for Fixed and Random Effects; Nested and Crossed Treatments; and Experimental Design. Paired with MATH 724. Students who have completed MATH 424 may not take MATH 724 for credit.
Units: 3
Latest Offering: Fall 2013

MATH 430 : Mathematics of Optimization

Prerequisites: MATH 325 with a grade of C or better.
Description: Modeling and solution of optimization problems as linear, semidefinite, nonlinear, or integer programming problems. Analysis and interpretations of solutions to these problems.
Units: 3
Latest Offering: Fall 2012

MATH 435 : Modern Algebra II

Prerequisites: Math 335 with a grade of C or better.
Description: Group actions, conjugacy classes, Sylow's Theorem. Rings, modules, vector spaces, and finitely generated modules over PIDs. Field extensions and finite fields. Paired with MATH 735. Students who have completed MATH 435 may not take MATH 735 for credit.
Units: 3
Latest Offering: Fall 2013

MATH 441 : Probability and Statistics II

Prerequisites: MATH 340 with a grade of C or better.
Description: Sampling distributions, estimation of parameters, hypothesis testing, goodness-of-fit tests, linear regression, and selected non-parametric methods. (Paired with MATH 741. Students who have completed MATH 741 may not take MATH 441 for credit.)
Units: 3
Latest Offering: Spring 2014

MATH 442 : Probability Models

Prerequisites: MATH 340 with a grade of C or better.
Description: Advanced topics in probability theory: discrete and continuous time Markov chains, Poisson process, queuing systems, and applications.
Units: 3
Latest Offering: Fall 2012

MATH 450 : Topology

Prerequisites: MATH 370 with grade of C or better.
Description: Rigorous development of the theory of metric spaces and topological spaces. Concepts covered include open, closed sets, interior, closure, boundary of sets; connects sets, compact sets, continuous functions defined on metric and topological spaces.
Units: 3
Latest Offering: Fall 2013

MATH 460 : Mathematical Modeling

Prerequisites: MATH 325 and either MATH 245 or 376, with grades of C or better.
Description: Deterministic and stochastic techniques used in mathematical modeling, illustrated and developed through problems originating in industry and applied research.
Units: 3

MATH 470 : Real Analysis II - Several Variables

Prerequisites: MATH 370 with a grade of C or better, or consent of instructor.
Description: Sequences and series of functions, uniform convergence, real-analytic functions, metric spaces, open and closed sets, compact and connected sets, continuous functions. (Paired with MATH 770. Students who have completed MATH 770 may not take MATH 470 for credit.)
Units: 3
Latest Offering: Spring 2014

MATH 471 : Introduction to Fourier and Wavelet Analysis

Prerequisites: MATH 370 with a grade of C or better
Description: Sequences and series of functions, modes of convergence, Fourier series and integrals, wavelet analysis. (Paired with MATH 771. Students who have completed MATH 771 may not take MATH 471 for credit.)
Units: 3
Latest Offering: Spring 2009

MATH 475 : Capstone Course for Secondary Teachers of Mathematics

Prerequisites: MATH 335 with grade of C or better and one of the following: concurrent enrollment in MATH 370 or consent of instructor.
Description: Builds on student's work in upper division mathematics to deepen understanding of the math taught in secondary school. Active exploration of topics in algebra, analysis, geometry and statistics.
Units: 3
Latest Offering: Spring 2014

MATH 477 : Partial Differential Equations

Prerequisites: MATH 376 with grade of C or better.
Description: Study of partial differential equations in rectangular and polar coordinates. Initial and boundary value problems for the heat equation and wave equation. Study of Fourier series, Bessel series, harmonic functions and Fourier transforms. (Paired with MATH 777. Students who have completed MATH 777 may not take MATH 477 for credit.)
Units: 3
Latest Offering: Spring 2014

MATH 490 : Mathematics Seminar

Prerequisites: Consent of instructor. Topic to be specified in Class Schedule.
Description: Development of a selected branch of advanced mathematics; e.g., calculus of variations, non-parametric statistics, differential geometry, game theory. May be repeated for credit as topics vary.
Units: 3

MATH 490 : Game Theory

Prerequisites: MATH 227 with grade of C or better.
Description: Normal, extensive and network forms. Strategy, bets reply and Nash equilibrium. Equilibrium path, information and beliefs, sequential rationality and perfect equilibria. Applications to learning, signaling, screening and deterrence.
Units: 3
Latest Offering: Fall 2013

MATH 490 : Group Representations

Prerequisites: MATH 335 with grade of C or better.
Description: Basics of the representation theory of finite groups such as irreducible decompositions, Maschke's theorem, and characters. Presented using symmetric group; focus on combinatorics that arise: young tableau, Knuth-Robinson-Schensted correspondence, and hook formula.
Units: 3

MATH 490 : Introduction to Actuarial Mathematics

Prerequisites: MATH 228 and either MATH 324 or MATH 340, with grades of C or better.
Description: Measurement of interest, including accumulation and present value factors, annuities certain, survival distributions and life tables, life insurance and annuity functions, net premium reserves.
Units: 3

MATH 490 : Introduction to Wavelets and Applications

Prerequisites: MATH 325 and MATH 370 with grades of C or better, or consent of instructor.
Description: Fundamentals of wavelets, frames, Gabor frames, time frequency analysis, and applications in engineering and physics. Students work on individual or team projects.
Units: 3
Latest Offering: Spring 2014

MATH 490 : Non-Parametric Statistics

Prerequisites: Any introductory statistics course with grade of C or better, or consent of instructor.
Description: Point and interval estimates, univariate hypotheses tests, multiple comparison measures. Applications to a wide variety of fields.
Units: 3
Latest Offering: Spring 2014

MATH 565 : Concepts of Geometry, Measurement, and Probability

Prerequisites: A grade of C or better in MATH 165.
Description: Designed for prospective multiple subjects credential candidates. Spatial relationships and inductive reasoning in geometry, measurement emphasizing the metric system, and elementary statistics and probability.
Units: 3
Latest Offering: Spring 2014

MATH 575 : Mathematics in the Middle School Classroom

Prerequisites: MATH 565 with grade of C or better, or consent of instructor.
Description: Designed for current or prospective middle school teachers of mathematics. Topics in algebra, number theory, and geometry. (Plus-minus letter grade only.)
Units: 3
Latest Offering: Fall 2013

MATH 576 : Math in Middle Schools II

Prerequisites: MATH 575 with grade of C or better.
Description: Continues to prepare students with content knowledge needed to teach algebra in middle school. Begins work in probability and statistics.
Units: 3
Latest Offering: Spring 2014

MATH 577 : Math in Middle School III

Prerequisites: MATH 576 with grade of C or better.
Description: Continues the work begun in MATH 575 and 576 to prepare students with content knowledge needed to teach algebra, geometry, and probability and statistics in middle school.
Units: 3
Latest Offering: Fall 2012

MATH 578 : Mathematics in the High School

Prerequisites: MATH 577 or MATH 227 with grade of C or better, or consent of instructor.
Description: Designed for current or prospective high school teachers to focus on high school mathematics from an advanced perspective. Content from functions, calculus, and statistics.
Units: 3
Latest Offering: Spring 2013

MATH 690 : Capstone Research for Mathematics Majors

Prerequisites: Grades of C or better in MATH 325, MATH 335, and MATH 370; grades of C or better in a subset of the following MATH courses: MATH 310, MATH 324 or MATH 340, MATH 376, MATH 380, MATH 400, MATH 420, or MATH 490, or consent of instructor. The specifics in that subset depend on the chosen research problem.
Description: Research problem, chosen by the instructor, to explore the interrelationships among the cornerstones in a typical undergraduate math major's course. These cornerstones are algebra, analysis, and probability and statistics. (Plus-minus letter grade only.)
Units: 3

MATH 696 : Applied Mathematics Project I

Prerequisites: MATH 460 with grade of C or better. May be replaced by consent of instructor.
Description: Preparation under faculty guidance of feasibility study and outline of a project in applied mathematics.
Units: 1
Latest Offering: Spring 2014

MATH 697 : Applied Mathematics Project II

Prerequisites: Successful completion of MATH 696 in a previous year. May not be taken concurrently with MATH 696.
Description: Completion of applied mathematics project. Presentation of oral and written report.
Units: 2
Latest Offering: Spring 2014

MATH 699 : Independent Study

Prerequisites: Approval of department and consent of instructor.
Description: Special study of a particular problem under the direction of a member of the department. The student must present a written report of the work accomplished to the staff of the department.
Units: 1-3

MATH 700 : Graduate Teaching Workshop

Prerequisites: GTA status.
Description: Discussion and analysis of teaching techniques, peer evaluation, peer classroom observations, guided groups and self analysis of videotapes; group project developing and studying common lesson materials.
Units: 3
Latest Offering: Fall 2013

MATH 710 : Analysis I

Prerequisites: MATH 470 with grade of C or better, or consent of instructor.
Description: Outer measure, Lebesgue measure and integration; convergence theorems; bounded variation, absolute continuity, and Lebesgue's theory of differentiation.
Units: 3
Latest Offering: Fall 2013

MATH 711 : Introductory Functional Analysis

Prerequisites: MATH 470 and MATH 725 with grades of B- or better, or consent of instructor.
Description: Metric spaces, Baire category; Banach and Hilbert spaces, bounded linear operators, dual spaces; the Hahn-Banach, closed graph, and open mapping theorems with applications; functional analysis topics.
Units: 3
Latest Offering: Spring 2013

MATH 714 : Analyzing DNA Topology with Math/Computational Methods

Prerequisites: Consent of instructor.
Description: For descripition, see MATH 414. Paired with MATH 414. Students who have completed MATH 414 may not take MATH 714 for credit.
Units: 3
Latest Offering: Spring 2013

MATH 720 : Combinatorics

Prerequisites: MATH 301 with grade of C or better and one of the following MATH 310, MATH 325, or CSC 330.
Description: Paired with MATH 420. See MATH 420 for course description. Students who have taken MATH 420 may not take MATH 720 for credit.
Units: 3
Latest Offering: Spring 2013

MATH 724 : Introduction to Linear Models

Prerequisites: MATH 227 and 325 with grades of C or better.
Description: Paired with MATH 424. For course description see MATH 424. Students who have completed MATH 724 may not take MATH 424 for credit.
Units: 3
Latest Offering: Fall 2013

MATH 725 : Advanced Linear Algebra

Prerequisites: MATH 335 with a grade of C or better.
Description: Vector spaces and linear maps on them. Inner product spaces and the finite-dimensional spectral theorem. Eigenvalues, the singular-value decomposition, the characteristic polynomial, and canonical forms.
Units: 3
Latest Offering: Fall 2013

MATH 728 : Mathematical Projects and Partnerships

Prerequisites: Graduate standing or consent of instructor.
Description: Discussion and analysis of teaching techniques, peer classroom observations; guided group and self analysis of group projects developing and studying innovative mathematical projects for middle and high school students. (Concurrent involvement in middle/high school projects required.).
Units: 1
Latest Offering: Spring 2014

MATH 729 : Communicating Mathematics

Prerequisites: Formal commitment to write an MA thesis or expository paper.
Description: Practice of written and oral communication of advanced and research mathematics: prepare research article or monograph, design research poster, prepare and present short and long research talks, write grant proposal.
Units: 3
Latest Offering: Spring 2014

MATH 730 : Theory of Functions of a Complex Variable

Prerequisites: MATH 470 with a grade of C or better, and consent of instructor.
Description: Elementary topology of the Euclidean plane, analytic functions, power series, conformal mapping, Cauchy integral formula, residue theorems, power series, Laurent series, analytic continuation, normal families and Riemann mapping theorem.
Units: 3
Latest Offering: Spring 2014

MATH 735 : Modern Algebra II

Prerequisites: Math 335 with a grade of C or better.
Description: Paired with MATH 435. For course description see MATH 435. Students who complete MATH 735 may not take MATH 435 for credit.
Units: 3
Latest Offering: Fall 2013

MATH 741 : Probability and Statistics II

Prerequisites: MATH 340 with a grade of C or better.
Description: Paired with MATH 441. For course description see MATH 441. Students who have completed MATH 441 may not take MATH 741 for credit.
Units: 3
Latest Offering: Spring 2014

MATH 770 : Real Analysis II - Several Variables

Prerequisites: Grade of C or better in MATH 370, or consent of instructor.
Description: Paired with MATH 470. For course description see MATH 470. Students who have completed MATH 470 may not take MATH 770 for credit.
Units: 3
Latest Offering: Spring 2014

MATH 771 : Introduction to Fourier and Wavelet Analysis

Prerequisites: MATH 370 with a grade of C or better; graduate standing or consent of instructor.
Description: Paired with MATH 471. For course description see MATH 471. Students who complete MATH 471 may not take MATH 771 for credit.
Units: 3
Latest Offering: Spring 2009

MATH 777 : Partial Differential Equations

Prerequisites: MATH 376 with grade of C or better.
Description: Paired with MATH 447. See MATH 447 for course description. Students who have completed MATH 447 may not take MATH 777 for credit.
Units: 3
Latest Offering: Spring 2014

MATH 814 : Seminar on Modern Math Methods in Molecular Biology

Prerequisites: Consent of instructor.
Description: Seminar on research in computational biology. Introduction to tools from pure and applied mathematics. Approaches to problems through common computational techniques. Topics to include DNA structure and effects of internal and external agents. Intended for students from a variety of disciplines such as math, computer science, biology and biochemistry.
Units: 3
Latest Offering: Fall 2010

MATH 850 : Algebra

Prerequisites: MATH 435/735 with grade of C or better, or consent of instructor.
Description: Rings and modules; further material is selected from such topics as Wedderburn theory, Noetherian ring theory, field theory, and general algebraic systems.
Units: 3
Latest Offering: Spring 2014

MATH 870 : Computational Discrete Geometry

Prerequisites: CSC 210, CSC 330, MATH 325, or consent of instructor.
Description: Comprehensive overview of basic topics in computational discrete geometry: generating functions, complexity theory, convex hull, nearest-neighbor problems, efficient algorithims, etc. This course is offered as MATH 870 and CSC 870. Students may not repeat the course under an alternate prefix.
Units: 3

MATH 890 : Seminar

Prerequisites: consent of instructor. Topic to be specified in Class Schedule.
Description: May be repeated as topics vary.
Units: 1-3

MATH 890 : Advanced Analysis on Manifolds

Prerequisites: MATH 710 or consent of the instructor; math major.
Description: Differentiable maps, inverse and implicit function theorems; n-dimensional Riemann integral, change of variables in multiple integrals, manifolds, differential forms, n-dimensional version of Stokes theorem, and abstract differentiable manifolds.
Units: 3
Latest Offering: Spring 2014

MATH 890 : Advanced Number Theory

Prerequisites: MATH 310, MATH 335, MATH 370, or consent of instructor.
Description: Topics in computational, analytic, and algebraic number theory, including recognition of primes, modern methods of factorization, partitions, modular forms, elliptic curves, class numbers and quadratic fields. (Plus-minus letter grade only.)
Units: 3
Latest Offering: Spring 2014

MATH 890 : Discrete Geometry

Prerequisites: Consent of instructor.
Description: Theory of polytopes. Counting lattice points in polytopes. Unimodular triangulations and unimodular coverings. May be repeated for a total of 6 units per consent of department chair.
Units: 3
Latest Offering: Spring 2012

MATH 890 : Polytopes and Varieties

Prerequisites: Either MATH 435 with grade of C or better and consent of instructor; or MATH 735 or MATH 850 with a grade of C or better.
Description: Central concepts in polytope theory and simplicial complexes, elements of affine and projective algebraic geometry, commutative algebra of special ideals and related effective methods, applications to one of the following: discrete geometry, toric varieties, algebraic statistics, polytope theory, optimization. (Plus-minus letter grade only.)
Units: 3

MATH 890 : Selected Topics in Combinatorics

Prerequisites: Graduate standing; MATH 301 and MATH 335; or consent of instructor.
Description: Review of fundamental combinatorial objects, addressing questions of existence, structure, and enumeration, then treating a well-established area of combinatorics in detail.
Units: 3
Latest Offering: Fall 2013

MATH 890 : Theory of Frames and Wavelets with Applications

Prerequisites: MATH 470, 490, and 710, or consent of instructor.
Description: Frames in Hilbert spaces, frames vs. Riesz bases, particular frames structures including frames of translates, Gabor frames, wavelet frames, frame multi-resolution analysis, pseudo frames for subspaces, and constructions of wavelet frames via pseudo frames.
Units: 3
Latest Offering: Fall 2009

MATH 898 : Master's Thesis

Prerequisites: Consent of instructor and graduate adviser; and approval of Advancement to Candidacy (ATC) and Culminating Experience (CE) forms by Graduate Studies.
Description: ATC and Proposal for Culminating Experience Requirement forms must be approved by the Graduate Division before registration. (CR/NC grading only.)
Units: 3
Latest Offering: Spring 2014

MATH 899 : Independent Study

Prerequisites: Approval of the department and consent of the instructor.
Description: Special study of a particular problem under the direction of a member of the department. The student must present a written report of the work accomplished to the staff of the department.
Units: 1-3
SF State Home