Jun 25, 2024  
2020-2021 Academic Catalog 
    
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2020-2021 Academic Catalog [ARCHIVED CATALOG]

Course Descriptions

 

Mathematics and Statistics
  

  • MATH 30X - Calculus I

    3 units
    Introduction to calculus including limits, continuity, differentiation, applications, and introduction to integration. Graphical, algebraic and numerical methods of solving problems.

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): Math Enrollment Category M-I, M-II, or M-III and satisfactory score on the Precalculus Proficiency Assessment; MATH 19  with a grade of C- or better to waive the exam; or MATH 18A  and MATH 18B  with a grade of C- or better in each to waive the exam.
    Corequisite(s): MATH 30W .
    Grading: Graded

    Note(s): MATH 30X is treated as a repeat for students who have taken MATH 30 . MATH 30X is replacing MATH 30P and MATH 30PL. 


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 31 - Calculus II

    4 units
    Definite and indefinite integration with applications. Sequences and series. Graphical, algebraic and numerical methods of solving problems. 

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): AP Calculus AB score 4 to 5, AP Calculus BC/AB Subscore 4-5, or MATH 30  or MATH 30X  (with a grade of B or better).
    Grading: Graded

    Note(s): Passing this course with a grade of “C-” or better course fulfills GE Area B4. Students who are repeating MATH 31 or MATH 31X  are not eligible for this class and must take MATH 31X .


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 31W - Calculus II Workshop

    1 units
    Support for students to excel in Calculus II. Students work in groups on challenging calculus problems to help them understand the concepts in Calculus II more deeply and lay the groundwork for success in future math courses.

    Lab 3 hours.

    Course is repeatable for up to 3 units.

    Corequisite(s): MATH 31X .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 31X - Calculus II

    4 units
    Definite and indefinite integration with applications. Sequences and series. Graphical, algebraic and numerical methods of solving problems.

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): AP Calculus AB score 3 to 5, AP Calculus BC/AB Subscore 3-5, or MATH 30  or MATH 30X  (with a grade of C- or better).
    Corequisite(s): MATH 31W .
    Grading: Graded

    Note(s): Passing this course with a grade of “C-” or better course fulfills GE Area B4. Students who are repeating MATH 31  or Math 31X are not eligible for this class and must take Math 31X.


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  • MATH 32 - Calculus III

    3 units
    Functions of more than one variable, partial derivatives, multiple integrals and vector calculus. Graphical, algebraic and numerical methods of solving problems. GE Area B4.

    Satisfies B4: Mathematical Concepts.

    Prerequisite(s): Score of 4 to 5 on the AP Calculus BC Exam; or MATH 31  or MATH 31X  with a grade of B or better.
    Grading: Graded

    Note(s): Students who are repeating MATH 32 must take MATH 32X .


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  • MATH 32H - Honors Multivariable Calculus

    4 units
    Functions of more than one variable, partial derivatives, and multiple integrals. Vector fields, line and surface integrals, Green’s Theorem, Stokes’ Theorem, Divergence Theorem. Applications to engineering and science.

    Misc/Lab: Lecture 3 hours/Lab 3 hours

    Prerequisite(s): A score of 4 or 5 on the AP Calculus BC exam or Instructor Consent.
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 32W - Calculus III Workshop

    1 units
    Designed to promote students to excel in Calculus III. Students work in groups on Calculus III material to help them understand Calculus III concepts more thoroughly.

    Lab 3 hours.

    Course is repeatable for up to 3 units.

    Corequisite(s): MATH 32X .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 32X - Calculus III

    3 units
    Functions of more than one variable, partial derivatives, multiple integrals and vector calculus. Graphical, algebraic and numerical methods of solving problems.

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): Score of 3 to 5 on the AP Calculus BC Exam; or MATH 31  or MATH 31X  with a grade of C- or better.
    Corequisite(s): MATH 32W .
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 33A - Ordinary Differential Equations for SCI & ENGR

    3 units
    (Formerly MATH 133A) First order differential equations, first order linear systems, second order linear equations, applications, Laplace transforms, series solutions.

    Prerequisite(s): MATH 32  or MATH 32H  or MATH 32X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 33LA - Differential Equations and Linear Algebra

    3 units
    (Formerly MATH 123) Matrices, determinants, systems of linear equations, vector geometry, linear transformations, eigenvalues and eigenvectors, diagonalization, first order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms.

    Prerequisite(s): MATH 31  or MATH 31X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 34 - Ordinary Differential Equations

    3 units
    First order differential equations, first order linear systems, second order linear equations, applications, numerical and series solutions. Nonlinear stability of solutions will be introduced. Existence and uniqueness of solutions will be emphasized.

    Prerequisite(s): MATH 32  or MATH 32X  (with a grade of C- or better) or instructor consent.
    Pre/Corequisite(s): MATH 39  or instructor consent.
    Grading: Graded


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  • MATH 39 - Linear Algebra I

    3 units
    (Formerly MATH 129A) Matrices, systems of linear equations, vector geometry, matrix transformations, determinants, eigenvectors and eigenvalues, orthogonality, diagonalization, applications, computer exercises. Theory in Rn emphasized; general real vector spaces and linear transformations introduced.

    Prerequisite(s): MATH 31  or MATH 31X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 42 - Discrete Mathematics

    3 units
    Sets, logic, methods of proof including mathematical induction, functions, relations, elementary combinatorics, probability, Boolean algebras.

    Prerequisite(s): Math Enrollment Category M-I or M-II and satisfactory score on the Precalculus Proficiency Assessment; MATH 19  with a grade of “B” or better to waive the exam; or MATH 18A ​ and MATH 18B , with a grade of “B” or better in each to waive the exam.
    Grading: Graded

    Note(s): Students who are repeating MATH 42 and MATH 42X  are not eligible for this class and must take MATH 42X .

    Cross-listed with CS 42 . Mathematics and Statistics is responsible for scheduling.


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 42W - Discrete Math Workshop

    1 units
    Designed to promote students to excel in Discrete Mathematics. Students work in groups on challenging discrete math problems to help them understand the concepts in discrete math more deeply and lay the groundwork for success in future courses.

    Lab 3 hours.

    Course is repeatable for up to 3 units.

    Corequisite(s): MATH 42X .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 42X - Discrete Mathematics

    3 units
    Sets, logic, methods of proof including mathematical induction, functions, relations, elementary combinatorics, probability, Boolean algebras.

    Prerequisite(s): Math Enrollment Category M-I, M-II, or M-III and satisfactory score on the Precalculus Proficiency Assessment; MATH 19  with a grade of C- or better to waive the exam; or MATH 18A  and MATH 18B  with a grade of C- or better in each to waive the exam.
    Corequisite(s): MATH 42W .
    Grading: Graded

    Cross-listed with CS 42X . Mathematics and Statistics is responsible for scheduling.


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 50 - Scientific Computing I

    2 units
    Computer systems and structured programming, emphasizing solutions of problems in the atmospheric sciences using Python programming. Includes the UNIX operating system, mass data handling and data visualization.

    Lecture 1 hour/Lab 3 hours.

    Prerequisite(s): MATH 30  or MATH 30X .
    Corequisite(s): For METR majors: MATH 31  or MATH 31X , METR 60 , PHYS 50 . For Climate Science majors: METR 60  and CHEM 1A .
    Grading: Graded

    Cross-listed with CS 50  / METR 50 . Meteorology and Climate Science is responsible for scheduling.


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  • MATH 71 - Calculus for Business and Aviation

    3 units
    Functions and graphs, limits, continuity, differentiation, integration, partial differentiation. Emphasis on business and economics applications.

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): MATH 18A  or MATH 19  with a grade of B or better; satisfactory score on the Precalculus Proficiency Assessment; or SAT Math score of 550+ (old version) or 570+ (revised score); or ACT Math score of 23+ waives the prerequisite.
    Grading: Graded

    Note(s): Students repeating MATH 71 are not eligible for this class and must take MATH 71X .


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 71W - Calculus Workshop for Business/Aviation

    1 units
    Designed to help all students excel in Calculus for Business/Aviation. Students work in groups on challenging calculus problems to help them understand the concepts in calculus more deeply and lay the groundwork for success in future courses.

    Lab 3 hours.

    Course is repeatable for up to 3 units.

    Corequisite(s): MATH 71X .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 71X - Calculus for Business and Aviation

    3 units
    Functions and graphs, limits, continuity, differentiation, integration, partial differentiation. Emphasis on business and economics applications.

    Satisfies B4: Mathematical Concepts

    Prerequisite(s): MATH 18A  or MATH 19  with a grade of C- or better to waive the exam; or satisfactory score on the Precalculus Proficiency Assessment; or SAT Math score of 550+ (old version) or 570+ (revised score); or ACT Math score of 23+ to waive the exam.
    Corequisite(s): MATH 71W .
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 92 - International Program Studies

    1-6 units
    Study Abroad and Away transfer credit course. Study Abroad and Away provides students the opportunity to study abroad on long term programs (Exchange Programs, CSU International Programs, and International Student Exchange Programs) and short-term programs (Faculty-Led Programs and Summer School Abroad Programs) for academic credit, offering Alternative Break Programs for cultural immersion, and designing other globally focused opportunities. This course is designated as a placeholder course for Study Abroad and Away programs.

    Grading: Mixed Grading


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 100W - Technical Writing Workshop

    3 units
    Advanced writing through preparation of technical reports and presentations. Improving skills for writing subject-related reports, project proposals and personal resumes through practice and evaluation. Course assignments will be related to issues concerning careers in mathematics and mathematics education. GE Area: Z.

    Satisfies SJSU Studies Z: Written Communication II.

    Prerequisite(s): A3 or equivalent second semester composition course (with a grade of C- or better); Completion of core GE, satisfaction of Writing Skills Test or completion of ENGL 100A  / LLD 100A  with C or better; and upper division standing. Graduate or Postbaccalaureate level. 
    Grading: Graded

    Note(s): Must be passed with C or better to satisfy the CSU Graduation Writing Assessment Requirement (GWAR).


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 101 - Problem Solving for Teachers

    3 units
    Problem solving involving elementary number theory, algebra, geometry, logic, measurement, probability and statistics. Selected problems explored and extended across content strands. Various instructional methods and assessment alternatives modeled. Designed specifically for teachers of mathematics, grades K-8.

    Prerequisite(s): MATH 106  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 102 - Secondary School Mathematics

    3 units
    Secondary school mathematics from an advanced viewpoint, plus topics from higher mathematics. Emphasizes inductive reasoning in problem solving. Applications useful to junior and senior high school teachers.

    Prerequisite(s): Equivalent of mathematics minor (with 9 upper division units) or instructor consent.
    Grading: Graded


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  • MATH 105 - Concepts in Mathematics, Probability, Statistics

    3 units
    Introduction to functions and algebraic reasoning, introduction to probability, data, graphs, statistics, problem solving; technology integrated throughout the course. This course is intended for future elementary teachers.  The sequence of MATH 12 , MATH 105, and MATH 106  satisfies subject matter competence in K-8 mathematics.

    Prerequisite(s): Two years of high school algebra, one year of high school geometry, MATH 12  with a “C-” or better.
    Grading: Graded


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  • MATH 106 - Intuitive Geometry

    3 units
    Introductory geometry, measurement, inductive and deductive reasoning, introduction to transformations, and problem-solving techniques; technology integrated throughout the course. This course is intended for future elementary teachers.  The sequence of MATH 12 , MATH 105 , and MATH 106 satisfies subject matter competence in K-8 mathematics.

    Prerequisite(s): MATH 12  and MATH 105  with grades of “C-” or better
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 107A - Explorations in Algebra

    3 units
    Comprehensive view of school algebra primarily for the mathematical preparation of teachers. The computer will be used to generate examples, investigate relationships, explore algorithms and solve problems. Functions and relations used as a unifying theme throughout.

    Prerequisite(s): MATH 106  (with a grade of “C-” or better), or instructor consent.
    Grading: Graded


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  • MATH 107B - Explorations in Geometry

    3 units
    Comprehensive view of elementary geometry primarily for the mathematical preparation of teachers. The computer will be used to investigate two- and three-dimensional patterns, measurement and parallelism. Transformational approach to congruence and similarity. Nature of inductive reasoning and deductive proof.

    Prerequisite(s): MATH 106  (with a grade of “C-” or better), or instructor consent.
    Grading: Graded


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  • MATH 108 - Introduction to Abstract Mathematics and Proofs

    3 units
    The course purpose is to develop students’ mathematical maturity and skill with proofs. Material covered includes logic; set theory including functions, relations, and cardinality; the real number system, including the completeness axiom; and selected topics.

    Prerequisite(s): MATH 31  or MATH 31X , and MATH 42  or MATH 42X  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded


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  • MATH 112 - Vector Calculus

    3 units
    Vector fields, line and surface integrals, Green’s Theorem, Stokes’ Theorem, Divergence Theorem and advanced topics such as differential forms or applications to mechanics, fluid mechanics, or electromagnetism.

    Prerequisite(s): MATH 32  or MATH 32X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 113 - Differential Geometry

    3 units
    Properties of curves and surfaces, Frenet-Serret formulas and the fundamental forms. Study of curves and surfaces in the small by means of differential calculus.

    Prerequisite(s): MATH 32  or MATH 32X , and MATH 39  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded

    Note(s): Offered only occasionally.


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 115 - Modern Geometry and Transformations

    3 units
    Synthetic and analytic theory of projective transformations, similarities, Euclidian motions, inversive geometry and an introduction to non-Euclidean geometry.

    Prerequisite(s): MATH 31  or MATH 31X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 123W - Differential Equations and Linear Algebra Workshop

    1 units
    A course designed to help all students excel in Linear Algebra and Ordinary Differential Equations (ODE’s). Students work in groups on challenging problems to help them understand the concepts of Linear Algebra and ODE’s more deeply and lay the groundwork for success in future courses.

    Course is repeatable for up to 3 units.

    Prerequisite(s): MATH 32  or MATH 32X  (with a grade of C- or better). 
    Corequisite(s): MATH 33LA .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  
  

  • MATH 127 - Applied and Industrial Algebra

    3 units
    Fundamental topics of abstract algebra (groups, rings, fields) from the viewpoint of real-world application, such as coding theory, robotics, algorithm design, cryptography, integrated circuit design, and signal processing.

    Prerequisite(s): MATH 42  or MATH 42X , and MATH 39  (each with a C- or better). Or instructor consent.
    Grading: Graded


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  • MATH 129B - Linear Algebra II

    3 units
    Continuation of MATH 39 . Abstract vector spaces and linear transformations, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form. Selected topics from inner product and adjoint, duality, rational canonical form and applications.

    Prerequisite(s): MATH 108  and MATH 39  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded


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  • MATH 132 - Advanced Calculus

    3 units
    Calculus of several variables; Jacobian, inverse and implicit function theorems, contracting mapping theorem, change of variables in integration and applications.

    Prerequisite(s): MATH 32  or MATH 32X , and MATH 39  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded


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  • MATH 133W - Ordinary Differential Equations Workshop

    1 units
    Designed to help all students excel in Ordinary Differential Equations (ODE’s). Students work in groups on challenging problems to help them understand the concepts in ODE’s more deeply and lay the groundwork for success in future courses.

    Prerequisite(s): MATH 32  or MATH 32X  (with a grade of C- or better).
    Corequisite(s): MATH 33A .
    Grading: Credit / No Credit


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 134 - Ord. Diff. Eqns and Dynamical Systems

    3 units
    First order differential equations and phase lines. Linear systems. Phase portraits. Classification of planar linear systems. Existence and uniqueness of solutions. Flows. Stability of equilibria and periodic orbits. Applications in the physical sciences and engineering.

    Prerequisite(s): MATH 39  and one of MATH 33A  or MATH 34 , both with a grade of C- or better; or MATH 33LA  (with a grade of C- or better).
    Grading: Graded


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  • MATH 142 - Introduction to Combinatorics

    3 units
    Sets, permutations, combinations, probability, mathematical induction, counting techniques, generating functions, partitions, recurrence relations, inclusion-exclusion. Polya’s theorem and applications to computer science, mathematics, engineering and physical sciences.

    Prerequisite(s): MATH 32  or MATH 32X , and MATH 42  or MATH 42X  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded


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  • MATH 143C - Numerical Analysis and Scientific Computing

    3 units
    Development and comparison of important algorithms for scientific computing in terms of efficiency, accuracy and reliability. Topics include nonlinear equations, interpolation, approximation theory, differentiation, integration, differential equations, numerical stability and error analysis. Substantial assignments using contemporary software packages and professional subprogram libraries.

    Prerequisite(s): MATH 32  or MATH 32X , one of CS 22A , MATH 50 , CS 46A , CS 49C  or CS 49J , one of MATH 33A , MATH 33LA , or MATH 34  (with a grade of “C-” or better in each); or instructor consent.
    Grading: Graded

    Cross-listed with CS 143C  / METR 143C . Mathematics and Statistics is responsible for scheduling.


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  • MATH 143M - Numerical Analysis and Scientific Computing

    3 units
    Development and comparison of important algorithms for scientific computing in terms of efficiency, accuracy and reliability. Topics include systems of linear equations-direct and iterative methods, least squares problems, eigenvalues and eigenvectors, numerical stability and error analysis. Substantial assignments using contemporary software packages and professional subprogram libraries.

    Prerequisite(s): MATH 39 , one of CS 22A , MATH 50 , CS 46A  or CS 49C  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded

    Cross-listed with CS 143M . Mathematics and Statistics is responsible for scheduling.


    Class Schedule | Syllabus Information | University Bookstore
  

  • MATH 146 - An Introduction to Mathematical Cryptography

    3 units
    Introduction to mathematics that has been useful in cryptography with a focus on the underlying mathematics (abstract algebra, number theory, probability, and combinatorics), and supporting applications (encryption, hash functions, blockchain). Additional topics may be covered.

    Prerequisite(s): MATH 42  or MATH 42X , and MATH 39  (each with C- or better), or instructor consent. 
    Grading: Graded

    Note(s): Recommended (but not required) one of MATH 108 , MATH 126 , MATH 127 , MATH 142 , MATH 163 .


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  • MATH 150 - Theory of Interest

    3 units
    Measurement of interest; time value of money; present and future values of cash flows; applications to annuities, loans, sinking funds, bonds, and portfolios; duration and immunization.

    Prerequisite(s): MATH 161A  or ISE 130 , or instructor consent
    Grading: Graded


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  • MATH 161A - Applied Probability and Statistics I

    3 units
    Descriptive and inferential statistics. Collection and analysis of data, discrete and continuous probability models, random variables, Central Limit Theorem, confidence intervals, hypothesis testing.

    Prerequisite(s): MATH 31  or MATH 31X  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 161B - Applied Probability and Statistics II

    3 units
    A continuation of MATH 161A . Two sample confidence intervals and hypothesis tests, analysis of variance, simple and multiple regression, chi-square tests of homogeneity and goodness-of-fit, other topics as time permits. Use of statistical software is integral to the course. Student project required.

    Prerequisite(s): MATH 161A  (with a grade of “C-” or better), or instructor consent
    Grading: Graded


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  • MATH 162 - Statistics for Bioinformatics

    3 units
    Introduction to the theory and applications of statistical methodology in the biological sciences. Topics include inference, stochastic processes, Markov chains, hidden Markov models, clustering, and gene expression analysis. Applications to current molecular biology and genetics problems. No biology background required.

    Prerequisite(s): MATH 161A  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 163 - Probability Theory

    3 units
    Probability axioms; random variables; marginal and conditional density and distribution functions; binomial, geometric, Poisson, gamma and normal probability laws; mathematical expectations, moment generating functions; limit theorems; sampling distributions.

    Prerequisite(s): MATH 32  or MATH 32X , and MATH 161A  (each with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 163W - Probability Workshop

    1 units
    Corequisite workshop designed to help all students succeed in MATH 163. Students work in groups on probability problems and review material from MATH161A and MATH 32 or MATH 32X as necessary. 

    Course is repeatable for up to 2 units.

    Grading: Credit / No Credit


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  • MATH 164 - Mathematical Statistics

    3 units
    Sampling distributions, confidence intervals, order statistics, sufficient statistics, the Rao-Blackwell Theorem, completeness, uniqueness, point estimation, maximum likelihood, Bayes’ methods, testing hypotheses, likelihood ratio tests, categorical data analysis, nonparametric tests.

    Prerequisite(s): MATH 163  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 167PS - Introduction to Python Programming and SQL

    3 units
    Introduction to Python. Data types, control flow, object-oriented programming, and graphical user interface-driven applications. The class will include designing relational schemas, writing SQL queries, accessing and designing a database, performing database administration. The students will also learn how to perform intermediate data base operations.

    Prerequisite(s): MATH 39 , MATH 161A , and MATH 167R  or instructor consent.
    Grading: Graded


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  • MATH 167R - Statistical Programming with R

    3 units
    Introduction to the R programming language. Topics include data structures, reading and writing data, databases, data visualization, accessing and creating packages, programming structures and functions.

    Prerequisite(s): MATH 161A  with a grade of “C-” or better
    Grading: Graded


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  • MATH 170 - Mathematical Modeling for the Life Sciences

    3 units
    Mathematical models used in biology and other life sciences, discrete and continuous processes, mathematical methods for analyzing solutions to the above models, interpretation of mathematical results.

    Prerequisite(s): MATH 39  and one of MATH 33A  or MATH 34  (both with a grade of C- or better); or MATH 33LA  (with a grade of C- or better).
    Grading: Graded


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  • MATH 177 - Linear and Non-Linear Optimization

    3 units
    Linear inequalities, the simplex method and other algorithms, duality, integer optimization, convex optimization, quadratic optimization, game theory. 

    Prerequisite(s): MATH 32  and MATH 39 , both with a grade of C- or better.
    Grading: Graded


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  • MATH 178 - Mathematical Modeling

    3 units
    Basic modeling techniques including graphing, proportion, curve fitting and interpolation, optimization, probability and computer simulation, derivatives and differences. Technology will be incorporated to model applied problems from business/economics, physical/life/social sciences and engineering.

    Prerequisite(s): MATH 39  (with a grade of “C-” or better) or instructor consent.
    Grading: Graded


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  • MATH 179 - Introduction to Graph Theory

    3 units
    Hamiltonian and Eulerian properties, matching, trees, connectivity, coloring problems and planarity. Emphasis on algorithms and applications, including optimal network flows.

    Prerequisite(s): MATH 42  or MATH 42X , and MATH 39  (each with a grade of “C-” or better). Or instructor consent.
    Grading: Graded


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  • MATH 180H - Individual Studies for Honors

    3 units
    Senior project on advanced topics in mathematics as determined by the instructor. Written paper and oral presentation of the project required. Intended for students graduating with departmental honors.

    Prerequisite(s): At least junior standing as mathematics major. GPA of 3.5 or higher in the major and department chair consent.
    Grading: Credit/No Credit


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  • MATH 180R - Undergraduate Research in Mathematics

    1-4 units
    Advanced work in specific fields with variable units 1 to 4. Students will work on research topics in mathematics which will vary depending the instructor(s).

    Prerequisite(s): Mathematics major/minor or consent of instructor
    Grading: Credit/No Credit


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  • MATH 185 - Special Topics in Mathematics

    3 units
    Selected topics in Mathematics. Topics vary each semester. Course is repeatable for a maximum total of 12 units of credit.

    Course may be repeated for credit for up to 12 units.

    Prerequisite(s): Suitable upper division background in mathematics set by instructor.
    Grading: Graded


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  • MATH 188I - Student Internships

    3 units
    Professional work experience in an area relevant to the students degree objectives. A written report, oral report and evaluation by a supervisor will be used to demonstrate that the goals of the internship experience have been met.

    Prerequisite(s): Math department project coordinator consent.
    Grading: Credit/No Credit


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  • MATH 190 - Introduction to MS Level Statistics

    1 units
    Intensive review of mathematical methods. Selected topics from multivariate calculus, linear algebra, probability theory and elementary statistics. Introduction to statistical software including graphics and programming using R. Course will cover indispensable tools necessary for success in the MS statistics program.

    Prerequisite(s): Admission to the MS Statistics Program
    Grading: Credit/No Credit


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  • MATH 192 - International Program Studies

    1-12 units
    Study Abroad and Away transfer credit course. Study Abroad and Away provides students the opportunity to study abroad on long term programs (Exchange Programs, CSU International Programs, and International Student Exchange Programs) and short-term programs (Faculty-Led Programs and Summer School Abroad Programs) for academic credit, offering Alternative Break Programs for cultural immersion, and designing other globally focused opportunities. This course is designated as a placeholder course for Study Abroad and Away programs.

    Grading: Mixed Grading


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  • MATH 201A - Mathematics for Secondary Teachers

    3 units
    Secondary school mathematics from an advanced viewpoint, plus topics from higher mathematics. Emphasizes inductive reasoning in problem solving. Applications useful to junior and senior high school teachers.

    Prerequisite(s): Equivalent of mathematics minor or instructor consent.
    Grading: Graded


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  • MATH 201B - Mathematics for Secondary Teachers

    3 units
    Secondary school mathematics from an advanced viewpoint, plus topics from higher mathematics. Emphasizes deductive reasoning in problem solving. Applications useful to junior and senior high school teachers.

    Prerequisite(s): Equivalent of mathematics minor or instructor consent.
    Grading: Graded

    Note(s): MATH 201A  is not a prerequisite.


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  • MATH 203 - Applied Mathematics, Computation, and Statistics Projects

    3 units
    Supervised teamwork to solve a substantial problem in mathematics or computer science usually supplied by an outside agency such as a local company. The number of different projects offered and the topics will vary widely. A project usually continues for two consecutive semesters.

    Prerequisite(s): Instructor consent.
    Grading: Credit/No Credit


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  • MATH 211A - Geometry of Projective Spaces

    3 units
    Structure of projective planes; finite planes and combinatorics; automorphism groups; configuration theorems and coordinatizations; conics; introduction to projective n-space over a field; topological properties; subgeometries.

    Prerequisite(s): MATH 112  or MATH 115  or instructor consent.
    Grading: Graded

    Note(s): Alternate years.


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  • MATH 213A - Introduction to Smooth Manifolds

    3 units
    Smooth manifolds and maps. Tangent bundle. Sard’s theorem, transversality, Whitney embedding theorem. Vector fields and flows on manifolds, Lie derivative, Lie groups and Lie algebras. Frobenius theorem, differential forms, Stokes’ theorem. Basic Morse theory. Additional topics chosen by the instructor.

    Prerequisite(s): MATH 113  or MATH 175 or MATH 132 ; or instructor consent.
    Grading: Graded

    Note(s): Alternate years.


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  • MATH 213B - Introduction to Riemannian Geometry

    3 units
    Riemannian metric and Levi-Civita connection. Geodesics, completeness and Hopf-Rinow theorem. Curvature. First and second variations of arc-length. Spaces of constant curvature. Additional topics selected by the instructor such as theorems of Myers, Hadamard, Synge, and Gauss-Bonnet.

    Prerequisite(s): MATH 213A  or instructor consent.
    Grading: Graded

    Note(s): Alternate years.


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  • MATH 226 - Theory of Numbers

    3 units
    Advanced topics in number theory selected by the instructor. Emphasis may be in algebraic number theory (e.g. Diophantine equations), analytic number theory (e.g. the prime number theorem), and/or computational number theory (e.g. cryptography).

    Prerequisite(s): MATH 126  and MATH 128A  or instructor consent.
    Grading: Graded

    Note(s): Alternate years.


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  • MATH 229 - Advanced Matrix Theory

    3 units
    Eigenvalues, unitary equivalence and Schur’s theorem. Normal, Hermitian and symmetric real matrices. Positive definite matrices, polar and singular value factorizations, and selected topics at the discretion of the instructor.

    Prerequisite(s): MATH 129B  or instructor consent.
    Grading: Graded


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  • MATH 231B - Functional Analysis

    3 units
    Function spaces and their duals, operators on function spaces, applications to analysis (classical and functional) and topics selected at the discretion of the instructor.

    Prerequisite(s): MATH 231A  or instructor consent.
    Grading: Graded


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  • MATH 233A - Applied Mathematics I

    3 units
    Derivation of the partial differential equations of classical mathematical physics. Existence and uniqueness of solutions of first order ordinary and partial differential equations. The classical theory of initial and boundary value problems for hyperbolic, parabolic and elliptic equations. Fourier series and transforms. Nonlinear partial differential equations.

    Prerequisite(s): MATH 133B  or instructor consent.
    Grading: Graded


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  • MATH 234 - Advanced Dynamical Systems

    3 units
    Continuous and discrete dynamical systems with applications. Topics include stability of equilibria and closed orbits, structural stability, applications in classical mechanics, biology and engineering, including control systems.

    Prerequisite(s): MATH 134  or instructor consent.
    Grading: Graded

    Note(s): Alternate years.


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  • MATH 235 - Wavelets and their Applications

    3 units
    Wavelets with particular emphasis on their use in the representation of digital signals and image analysis. Theory of filters, filter banks and wavelets with applications selected from image and video compression, speech, audio and ECG compression, and communication applications.

    Prerequisite(s): MATH 39  and MATH 134 , or instructor consent.
    Grading: Graded


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  • MATH 243A - Numerical Solution of PDEs

    3 units
    Finite difference methods applied to parabolic, elliptic and hyperbolic equations including numerical methods for solving the discretized problem, convergence, stability, error control, and applications.

    Prerequisite(s): MATH 143C  or MATH 143M  or instructor consent.
    Grading: Graded


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  • MATH 250 - Mathematical Methods for Data Visualization

    3 units
    (Formerly MATH 253) Programming basics. 2D and 3D data plotting and graphing, advanced linear algebra, dimensionality reduction, visualization of high dimensional data, and applications to clustering and classification. 

    Prerequisite(s):  MATH 32 , MATH 39  and MATH 163  (each with a grade of B or better), or instructor consent.
    Grading: Graded


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  • MATH 251 - Statistical and Machine Learning Classification

    3 units
    Dimensionality reduction, instance-based classification, discriminant analysis, logistic regression, support vector machine, kernel methods, ensemble learning, neural networks and deep learning, classification of nonnumeric data.

    Prerequisite(s): MATH 164  and MATH 250 .
    Grading: Graded


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  • MATH 252 - Cluster Analysis

    3 units
    Cluster analysis techniques. Dissimilarities and distances. Hierarchical clustering, distance-based clustering, fuzzy clustering, spectral clustering, subspace clustering, categorical data clustering. Clustering method for high dimensional datasets.

    Prerequisite(s): MATH 32  or MATH 32X , MATH 39  (each with a grade of “B” or better), MATH 163  and MATH 267A  or CS 122 . Or instructor consent.
    Grading: Graded


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  • MATH 257 - Multivariate Data Analysis

    3 units
    Multivariate normal distribution, Hotelling’s T-squared distribution, data reduction techniques including principal component and factor analysis, canonical correlation analysis, discrimination and classification techniques. Intensive use of computer analysis and real data sets. As time permits, advanced topics chosen by instructor. Possible topics include basis functions, derivative estimation, functional principal components, functional linear model.

    Prerequisite(s): MATH 163  and MATH 261A  (each with a grade of “B” or better), or instructor consent.
    Grading: Graded


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  • MATH 258 - Categorical Data Analysis

    3 units
    Distributions for categorical data, descriptive and inferential methods for contingency tables, introduction to generalized linear models, logit models for binary data, and loglinear models for count data.

    Prerequisite(s): MATH 261A  with a grade of “B” or better
    Grading: Graded


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  • MATH 261A - Regression Theory and Methods

    3 units
    Simple linear regression, multiple regression, indicator variables, influence diagnostics, transformations, assumption analysis, generalized linear models, nonlinear regression, CART, hypothesis testing, confidence and prediction intervals, variable selection and model building.

    Prerequisite(s): MATH 39 , and either MATH 161A  or MATH 164  (each with grade”B” or better), MATH 163 , MATH 267A .
    Corequisite(s): MATH 163  and/or MATH 267A  may be taken concurrently.
    Grading: Graded


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  • MATH 261B - Design and Analysis of Experiments

    3 units
    Principles, construction and analysis of experimental designs. ANOVA; randomized blocks, Latin squares, factorial, nested and other designs; fixed and random effects, multiple comparisons, repeated measures. Expected mean squares. Diagnostics and model comparison.

    Prerequisite(s): MATH 261A  with grade of “B” or better.
    Pre/Corequisite(s): MATH 164 
    Grading: Graded


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  • MATH 263 - Stochastic Processes

    3 units
    Introductory course in stochastic processes and their applications. The course will cover random walks, discrete time Markov chains, the Poisson process, continuous time Markov processes, renewal theory and queuing theory.

    Prerequisite(s): MATH 39  and MATH 163  (each with a grade of “B” or better).
    Grading: Graded


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  • MATH 264 - Bayesian Data Analysis

    3 units
    A graduate-level introduction to Bayesian statistical methods for inference. Exchange-ability. Prior, likelihood, posterior and predictive distributions. Hierarchical models. Model checking.

    Prerequisite(s): MATH 164  with a “B” or better
    Grading: Graded


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  • MATH 265 - Time Series Theory and Methods

    3 units
    Analysis of correlated data in time, trends, seasonal patterns, periodicity, autocorrelation, spectral/frequency analysis, filtering, ARIMA models, state-space models, forecasting. Applications from various fields including economics, signal processing, finance, atmospheric science.

    Prerequisite(s): MATH 261A  with a grade of “B” or better
    Grading: Graded


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  • MATH 266 - Survival Analysis

    3 units
    Statistical methods for analysis of time-to-event censored data. Survival distributions and hazard rates; Kaplan-Meier estimator; proportional hazards; partial likelihood; diagnostics. Applications from clinical trials, toxicology and tumorigenicity studies, epidemiological studies, and engineering reliability.

    Prerequisite(s): MATH 261A 
    Grading: Graded

    Note(s): Alternate years.


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