# Mathematics (MATH)

See Course Description Symbols and Terms for an explanation of course description terminology and symbols, the course numbering system, and course credit units.

- In certain courses, at the discretion of the instructor, you may be required to buy a computer program and/or graphing calculator.
- Enrollment in any mathematics course requires a grade of C- or higher in all prerequisite courses or their transfer equivalents.

**MATH 5L**

**Foundational Mathematics B**

**1 Unit**

**Prerequisite:**Credit in Math 031 or GE Math Ready with Support.

**Corequisites:**MATH 105.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. (005498)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 7L**

**Foundational Mathematics B**

**1 Unit**

**Prerequisite:**Credit in Math 031 or GE Math Ready with Support.

**Corequisites:**MATH 107.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. (022081)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 10L**

**Foundational Mathematics B**

**1 Unit**

**Prerequisite:**Credit in Math 031 or GE Math Ready with Support.

**Corequisites:**MATH 110.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. (022082)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 16L**

**Foundational Mathematics B**

**1 Unit**

**Prerequisite:**Credit in Math 031 or GE Math Ready with Support.

**Corequisites:**MATH 116.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. (022083)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 31B**

**Foundational Mathematics A**

**1 Unit**

**Prerequisite:**GE Math Ready with Support and Early Start Program.

**Corequisites:**BIOL 102.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory. (022087)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 31G**

**Foundational Mathematics A**

**1 Unit**

**Prerequisite:**GE Math Ready with Support and Early Start Program.

**Corequisites:**ERTH 130.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory. (022086)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 31N**

**Foundational Mathematics A**

**1 Unit**

**Prerequisite:**GE Math Ready with Support and Early Start Program.

**Corequisites:**SCED 101.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory. (005493)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 31P**

**Foundational Mathematics A**

**1 Unit**

**Prerequisite:**GE Math Ready with Support and Early Start Program.

**Corequisites:**PSSC 101.

**Typically Offered:**Fall and spring

Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory. (022085)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 1 unit

**Course Attributes:**Pre-Collegiate

**MATH 101**

**Patterns of Mathematical Thought**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready or Ready with Support.

**Typically Offered:**Fall and spring

An informal approach to mathematics designed to bring an appreciation and workable knowledge of the subject to non-majors. Not acceptable for a mathematics major or minor. 1 hour discussion, 2 hours lecture. (005514)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 105**

**Introduction to Statistics**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

Summary of numerical data, distributions, linear regression, and introduction to statistical inference. Statistical software is used. 1.5 hours discussion, 1.5 hours lecture. (005501)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 107**

**Finite Mathematics for Business**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

Solutions to systems of linear equations, matrices, linear programming, combinatorics, probability, binomial and normal distributions. 1.5 hours discussion, 1.5 hours lecture. (005521)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 108**

**Statistics of Business and Economics**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

Descriptive statistics, sampling theory, statistical inference and tests of hypotheses, analysis of variance, chi-square tests, simple regression and correlation, and multiple regression and correlation. 1.5 hours discussion, 1.5 hours lecture. (001042)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 109**

**Survey of Calculus**

**4 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready; MATH 118 and MATH 119 (or equivalent) with a C- or higher, or a qualifying score on the department administered calculus readiness assessment in addition to high school trigonometry and precalculus with a C- or higher.

**Typically Offered:**Fall and spring

This course covers the fundamental concepts and techniques of differential and integral calculus with an introduction to differential equations. Emphasis on applications from the Life Sciences. This course is not intended for majors in mathematics, physics, chemistry, or engineering. No credit for students with credit in MATH 120. A score that meets department guidelines on a department administered calculus readiness exam must be achieved by those who claim high school equivalence. 4 hours discussion. (005512)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 110**

**Concepts and Structures of Mathematics**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

Structure of the real number system, operations on real numbers, number theory. Not acceptable for a mathematics major or minor. 3 hours discussion. (005522)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 116**

**College Algebra**

**4 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

This course covers advanced algebra concepts beyond the scope of Intermediate Algebra. The topics include algebraic simplifying, conics, theory and solution of equations and inequalities, systems of equations, linear functions, exponential and logarithmic functions, polynomial and rational functions, binomial expansion, and partial fractions. 4 hours lecture. (021954)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 117**

**Hands-On Lab, Mathematics**

**2 Units**

**Prerequisite:**MATH 110.

**Corequisites:**MATH 210 or faculty permission.

**Typically Offered:**Fall and spring

The Hands-On Lab for Mathematics provides a rich, sustained, and guided teaching experience for undergraduate students preparing to be elementary or middle school teachers. By developing, refining, and repeatedly teaching a lesson aligned to California mathematics standards, prospective teachers gain insights into the complexities of teaching mathematics content. In addition, prospective teachers engage in Lesson Study with the teachers for these children, thus acquiring experience in a collegial relationship with practicing professionals. 2 hours seminar. (020430)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 118**

**Trigonometry**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

Trigonometric functions, graphs, identities and conditional equations, logarithms, solutions of triangles, and complex numbers. 3 hours discussion. (005500)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 119**

**Precalculus Mathematics**

**4 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready, and either 1/2 year of high school trigonometry or MATH 118 (may be taken concurrently).

**Typically Offered:**Fall and spring

Functions and graphs, including polynomial, rational, exponential, logarithmic, and trigonometric functions. Systems of equations and inequalities, polar and parametric equations, complex numbers, and analytic trigonometry. 4 hours discussion. (005504)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 119X**

**Precalculus Problem Session**

**1 Unit**

**Prerequisite:**Faculty permission.

**Corequisites:**MATH 119.

**Typically Offered:**Fall and spring

Designed to supplement MATH 119 with additional applications. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. 3 hours independent study. (005505)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 120**

**Analytic Geometry and Calculus**

**4 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready; MATH 118 and MATH 119 (or equivalent) with a C- or higher, or a qualifying score on the department administered calculus readiness assessment in addition to high school trigonometry and precalculus with a C- or higher.

**Typically Offered:**Fall and spring

Limits and continuity. The derivative and applications to related rates, maxma and minima, and curve sketching. Transcendental functions. An introduction to the definite integral and area. 4 hours discussion. (005506)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 120X**

**Calculus Problem Session**

**1 Unit**

**Prerequisite:**Faculty permission.

**Corequisites:**MATH 120.

**Typically Offered:**Fall and spring

Designed to supplement MATH 120 with additional applications of introductory calculus. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. 3 hours independent study. (005510)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 121**

**Analytic Geometry and Calculus**

**4 Units**

**Prerequisite:**MATH 120.

**Typically Offered:**Fall and spring

The definite integral and applications to area, volume, work, differential equations, etc. Sequences and series, vectors and analytic geometry in 2 and 3-space, polar coordinates, and parametric equations. 4 hours discussion. (005507)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 121X**

**Calculus Problem Session**

**1 Unit**

**Prerequisite:**Concurrent enrollment in MATH 121, faculty permission.

**Typically Offered:**Fall and spring

Designed to supplement MATH 121 with additional applications and expanded explanations of concepts encountered in second-semester calculus. Provides the student with the opportunity for additional assistance in coming to an understanding of the concepts of calculus. 3 hours independent study. (005511)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 125**

**Advanced Number and Operation**

**3 Units**

**Prerequisite:**Successful completion of high school precalculus, concurrent enrollment in MATH 118 or 119, or faculty permission.

**Typically Offered:**Fall only

Investigate number and operation through calculation and abstraction, find patterns and relationships through computation, develop and test mathematical conjectures, and develop an appreciation of proof and an ability to make mathematical arguments. Basic concepts from Number Theory are explored, culminating in proof of the Fundamental Theorem of Arithmetic and related theorems in other number sets. 3 hours discussion. (021846)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 130**

**Introduction to R**

**1 Unit**

**Typically Offered:**Fall and spring

This accelerated short-course is designed as a primer to get the complete novice up and running with the basic knowledge of how to use the statistical programming language R. Target audience is anyone who wants to become the boss of their own data and conduct their own analysis. We cover how to get data into R, how to manipulate it into analyzable format, and how to create informative plots. Emphasis is placed on reproducibility and literate programming. The course culminates with a data exploration project. This course requires the use of a laptop computer and appropriate software. Typically offered as 3 hour discussion for 5 weeks. 1 hour discussion. (021774)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 2 units

**Course Attributes:**Lower Division; Laptop required

**MATH 131**

**Introduction to Python**

**1 Unit**

**Typically Offered:**Fall and spring

This course is designed as a primer to get the complete novice up and running with the basic knowledge of how to use the statistical programming language Python in an environment that emphasizes reproducible research and literate programming for data analysis. The target audience is anyone who wants to do their own data analysis. The course will cumulate with an exploratory data analysis on either a pre-specified data set or your data set of choice. 1 hour lecture. (022516)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 2 units

**Course Attributes:**Lower Division

**MATH 185**

**Data Analytics for Social Good**

**3 Units**

**GE**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

This course introduces students how to start harnessing the power of data to intelligently cope with the requirements of citizenship, employment, and family to be prepared for a healthy, happy and productive life. Students practice collecting and wrangling data into a usable form, visualizing large data sets to discover patterns, representing data in a meaningful way, exploring varying interpretations of the data and results, and discussing potentials for misuse and abuse. This course promotes critical reflection on the ethical, social, cultural, and political dimensions of data as well as providing direct hands on experience with both spreadsheets, and the programming language R. Students from all majors are welcome, no prior programming experience is expected. 1 hour activity, 2 hours lecture. (022285)

**General Education:**Quantitative Reasoning (B4)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division; Laptop required

**MATH 195**

**Project MATH Seminar Year 1**

**1 Unit**

**Typically Offered:**Fall and spring

The Project M.A.T.H. Seminar - Year 1 is a biweekly seminar for students in their first year of Project M.A.T.H., an innovative program for students interested in becoming secondary mathematics teachers. Students work with mentor teachers, prepare and present lessons, and participate in a structured early field experience. Completion of the seminar series satisfies the Credential Program's Early Field Experience requirement. 3 hours laboratory. (020431)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 2 units

**Course Attributes:**Lower Division

**MATH 198**

**Special Topics**

**1-3 Units**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See The Class Schedule for the specific topic being offered. 3 hours discussion. (005528)

**Grade Basis:**Graded

**Repeatability:**You may take this course more than once

**Course Attributes:**Lower Division

**MATH 199**

**Special Problems**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is an independent study of special problems offered for 1.0-3.0 units. 9 hours supervision. (020782)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Lower Division

**MATH 210**

**Concepts and Structures of Mathematics**

**3 Units**

**Prerequisite:**MATH 110.

**Typically Offered:**Fall and spring

Problem-solving, probability and statistics, measurement and the metric system, geometry. Not acceptable for a mathematics major or minor. 3 hours discussion. (005523)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 217**

**Discrete Mathematics**

**3 Units**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready, CSCI 111 with a grade of C or higher (may be taken concurrently), MATH 119 (or equivalent).

**Typically Offered:**Fall and spring

Offers an intensive introduction to discrete mathematics as used in computer science. Topics include sets, relations, propositional and predicate logic, basic proof methods including mathematical induction, digital logic circuits, complexity of algorithms, elementary combinatorics, and solving linear recurrence relations. 3 hours discussion. (005550)

**Cross listing(s):**CSCI 217

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 220**

**Analytic Geometry and Calculus**

**4 Units**

**Prerequisite:**MATH 121.

**Typically Offered:**Fall and spring

Vector functions and space curves. Functions of several variables, partial derivatives, and multiple integrals. Vector calculus line integrals, surface integrals, divergence/curl, Green's Theorem, Divergence Theorem, and Stokes' Theorem. 4 hours discussion. (005508)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 220X**

**Calculus Problem Session**

**1 Unit**

**Corequisites:**MATH 220.

**Typically Offered:**Fall and spring

Designed to supplement MATH 220 with broader and deeper applications of calculus, providing students with opportunities for additional problem-solving skill building. Twenty hours activity minimum for credit, but 40 hours are available to students. 3 hours independent study. (020358)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 225**

**Algebra Functions, Real and Complex Number Systems**

**3 Units**

**Prerequisite:**MATH 125.

**Typically Offered:**Spring only

This course focuses on developing your abilities in making sense of algebraic manipulation in the context of functions, polynomial rings, and matrices. The course and the classroom are structured as a supportive, collaborative learning environment in which mathematical discourse is valued and exploration encouraged. You will investigate algebra and polynomials through calculation and abstraction, find patterns and relationships through computation, develop and test mathematical conjectures, and develop an appreciation of proof and an ability to construct mathematical arguments. More advanced concepts from Number Theory are explored, culminating in proofs of the Unique Prime Factorization Theorem and the Division Algorithm for different rings. 3 hours discussion. (021953)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 230**

**An Introduction to Computational Mathematics**

**3 Units**

**Prerequisite:**MATH 121, no previous computer experience required.

**Typically Offered:**Fall only

An introduction to the use of mathematical computer software. This course provides an introduction to a programming environment, preparing math majors to use computers to explore and solve varied math problems. The software used in this class depends on the instructor and may be chosen from Mathematica, GP/PARI, GAP, SAS, R, etc. This course satisfies the computer literacy requirement for mathematics majors. 3 hours discussion. (005526)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 9 units

**Course Attributes:**Lower Division

**MATH 235**

**Elementary Linear Algebra**

**3 Units**

**Prerequisite:**MATH 120.

**Typically Offered:**Fall and spring

Matrices, determinants, cartesian n-space (basis and dimension of a subspace, rank, change of basis), linear transformations, eigenvalues. Numerical problems will be emphasized. 3 hours discussion. (005553)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 241**

**Secondary Math Early Field Experience**

**1 Unit**

**Typically Offered:**Fall and spring

This seminar and the associated CAVE field experience give prospective teachers early exposure to issues relevant to the profession of teaching secondary mathematics. In particular, the experience helps these future teachers develop a deeper understanding of the K-12 mathematics curriculum, understand connections between their university subject matter preparation and K-12 academic content, and reflect on developmental and social factors that affect K-12 students' learning of mathematics. 1 hour seminar. (020432)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 260**

**Elementary Differential Equations**

**4 Units**

**Prerequisite:**MATH 121.

**Typically Offered:**Fall and spring

First order separable, linear, and exact equations; second order linear equations, Laplace transforms, series solutions at an ordinary point, systems of first order linear equations, and applications. 4 hours discussion. (005509)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Lower Division

**MATH 260X**

**Elementary Differential Equations Problem Session**

**1 Unit**

**Corequisites:**MATH 260.

**Typically Offered:**Fall and spring

Designed to supplement MATH 260 with broader and deeper applications of differential equations, providing the student with opportunities for additional problem-solving skills. A minimum of 20 hours of activity are required to earn credit for the class; forty hours are available. 3 hours independent study. (020315)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Lower Division

**MATH 290**

**Mathematics and Statistics Tutoring**

**1 Unit**

**Corequisites:**Concurrent enrollment in a course offered through the Dept of Mathematics Statistics at CSU, Chico.

**Typically Offered:**Fall and spring

This course provides supplemental mathematics statistics tutoring. 3 hours independent study. (020823)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 8 units

**Course Attributes:**Lower Division

**MATH 295**

**Project MATH Seminar Year 2**

**1 Unit**

**Prerequisite:**MATH 195.

**Typically Offered:**Fall and spring

The Project M.A.T.H. Seminar - Year 2 is the continuation of a biweekly seminar for students in Project M.A.T.H., an innovative program for students interested in becoming secondary mathematics teachers. Students work with mentor teachers, prepare and present lessons, and participate in a structured early field experience. They also take on a leadership role in the seminar. Completion of the seminar series satisfies the Credential Program's Early Field Experience requirement. 3 hours laboratory. (020433)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 2 units

**Course Attributes:**Lower Division

**MATH 298**

**Special Topics**

**1-3 Units**

**Typically Offered:**Inquire at department

This course is for special topics offered for 1.0 - 3.0 units. Typically the topic is offered on a one-time-only basis and may vary from semester to semester and be different for different sections. See the class schedule for the specific topic being offered. 0 hours supervision. (021615)

**Grade Basis:**Graded

**Repeatability:**You may take this course more than once

**Course Attributes:**Lower Division

**MATH 299**

**Special Problems**

**1-3 Units**

**Prerequisite:**Faculty permission.

**Typically Offered:**Inquire at department

This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. 0 hours supervision. (021629)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Lower Division

**MATH 300**

**Undergraduate Mathematics Seminar**

**2 Units**

**Prerequisite:**GE Mathematics/Quantitative Reasoning Ready.

**Typically Offered:**Fall and spring

This course is designed to expose you to mathematics not normally covered in your regular curriculum. Guest speakers are drawn from the ranks of our faculty, including other disciplines, our students, and industry. Talks are interactive, participatory, and fun. There is no prerequisite, except an interest in interesting mathematics. Topics typically include selections from number theory, math education, statistics, problem solving, undergraduate research, calculus, differential equations, spatial and planar geometry, probability, computer applications, mathematical operations, modeling, topology, trigonometry, metric measurements, elliptical curves, and bubbles, among others. This exposure broadens your horizons and expands your curiosity in hopes that you will explore mathematics beyond your required courses. 2 hours lecture. (021647)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 8 units

**Course Attributes:**Upper Division

**MATH 305**

**Conceptual and Practical Statistics**

**3 Units**

**Typically Offered:**Spring only

Design of statistical experiments, graphing, sampling techniques, probability, and common probability distributions will be discussed, with an emphasis on practical applications. Uses and misuses of statistics, misrepresentation of data, and proper and improper statistical analyses will be discussed. 3 hours discussion. (005532)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 310**

**Patterns and Structures in Mathematics**

**3 Units**

**Typically Offered:**Fall and spring

Builds upon student's understanding of numbers and operations to develop their algebraic and proportional reasoning. Probability viewed as an application of proportional reasoning. Foundational statistics is also covered. Overall focus on developing a deep understanding of mathematics that is relevant to the teaching of Kindergarten-8th grade. Not acceptable for a mathematics major or minor except the Foundational Math Education option and Math Education minor. 3 hours discussion. (005542)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 311**

**Intuitive Foundations of Geometry**

**3 Units**

**Typically Offered:**Spring only odd years

An intuitive approach to problem-solving in Euclidean, coordinate, motion, and space geometry. Concrete models are used for analyzing abstract ideas. Not acceptable for a mathematics major or minor other than the Math Education minor. 3 hours discussion. (005543)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 314**

**Probability and Statistics for Science and Technology**

**4 Units**

**Prerequisite:**MATH 121; and one of the following: CSCI 111, MATH 130 (may be taken concurrently), MATH 230 or MECH 208.

**Typically Offered:**Fall and spring

Basic concepts of probability and statistics with emphasis on models used in science and technology. Probability models for statistical estimation and hypothesis testing. Confidence limits. One- and two-sample inference, simple regression, one- and two-way analysis of variance. Credit cannot be received for both MATH 314 and MATH 315. 4 hours discussion. (005533)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Upper Division; Laptop required

**MATH 315**

**Applied Statistical Methods I**

**3 Units**

**Typically Offered:**Fall and spring

Single and two sample inference, analysis of variance, multiple regression, analysis of co-variance, experimental design, repeated measures, nonparametric procedures, and categorical data analysis. Examples are drawn from biology and related disciplines. The statistical programming language R is used. Appropriate for biology, agriculture, nutrition, psychology, social science and other majors. 3 hours discussion. (005568)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 317**

**Cryptography**

**4 Units**

**Typically Offered:**Spring only

This is the first course in cryptography with an emphasis on public key cryptosystems, digital signature schemes, and the underlying mathematical principles on which they are based. Students implement algorithms and solve problems in programming-based assignments. Some time is devoted to getting familiar with the Python programming language and the SageMath Software system. 4 hours discussion. (022044)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Upper Division

**MATH 318**

**Topological Data Analysis**

**3 Units**

**Typically Offered:**Spring only odd years

In this course students use the tools of topology to study data sets in terms of their shape. Students become familiar with the basics of topology, and master a subset of algorithms for computing Betti number, topological persistence, homology cycles, Reeb graphs, and Laplace spectra. Students become familiar with designing algorithms for problems in applications dealing with data, and how to research the background of a topic in data analysis or machine learning. 3 hours discussion. (022453)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 330W**

**Methods of Proof (W)**

**3 Units**

**W**

**Prerequisite:**GE Written Communication (A2) requirement and MATH 121.

**Typically Offered:**Fall and spring

A survey of elementary principles of logic, emphasizing the nature of proof. Standard methods of proof will be illustrated with examples from various branches of mathematics, including set theory and the theory of functions and relations. Other possible sources of examples include the calculus, number theory, theory of equations, topology of the real line. 3 hours seminar. (005530)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division; Writing Course

**MATH 333**

**History of Mathematics**

**3 Units**

**Prerequisite:**MATH 121; MATH 220 or MATH 225; and at least one upper division mathematics course. Recommended: MATH 330W.

**Typically Offered:**Spring only

Study of the historical development of mathematics, with particular emphasis on the relationship between mathematics and society. 3 hours discussion. (005531)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 337**

**Introduction to the Theory of Numbers**

**3 Units**

**Typically Offered:**Fall only

Basic properties of the integers, division algorithm, fundamental theorem of arithmetic, number-theoretic functions, Diophantine equations, congruences, quadratic residues, continued fractions. 3 hours discussion. (005585)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 341**

**Mathematical Topics for the Credential**

**3 Units**

**Typically Offered:**Fall only

This course is designed to supplement the mathematical background of the candidate for the single subject credential in mathematics. The mathematical topics will be discussed from the student's and the teacher's points of view to aid the candidate in making the transition to secondary school mathematics. Topics include mathematical problem-solving, conceptual ideas using algebra, geometry, and functions, incorporating technology into the mathematics curriculum, and finite systems. 3 hours seminar. (005544)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 342**

**Math Topics for the Credential**

**3 Units**

**Prerequisite:**MATH 341.

**Typically Offered:**Spring only

This course focuses on having students examine mathematical pedagogy and the understanding and evaluations of students as mathematical learners as it analyzes secondary mathematics curriculum from an advanced standpoint. Students will have opportunities to be involved in the facilitation of mathematical learning. Topics include: history of mathematics education, contemporary mathematics curricula, problem solving, mathematical reasoning and methods of proof, mathematical learning theories, communication, assessment and collaborative learning communities. 3 hours discussion. (005545)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 344**

**Graph Theory**

**3 Units**

**Typically Offered:**Fall only odd years

An introduction to graph theory and network theory. Directed graphs, trees, connectivity, duality, coloring, and planarity are studied both from a theoretical perspective as well as with respect to efficient algorithms. 3 hours discussion. (005591)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 346**

**College Geometry**

**3 Units**

**Typically Offered:**Spring only

An exploration of axioms and models for Euclidean and non-Euclidean geometries focusing on the independence of the Parallel Postulate. Additional topics will be chosen from Euclidean plane geometry, transformation geometry, and the geometry of polyhedra. 3 hours discussion. (005561)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 350**

**Introduction to Probability and Statistics**

**3 Units**

**Prerequisite:**MATH 121.

**Typically Offered:**Fall and spring

Probability theory and application, discrete and continuous random variables and their distribution, basic sampling distributions, theory and concepts of expectations and variance. Statistical software may be used. 3 hours discussion. (005534)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 351**

**Introduction to Probability and Statistics**

**3 Units**

**Prerequisite:**MATH 350.

**Typically Offered:**Spring only

Continuation of MATH 350. 3 hours discussion. (005535)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 360**

**Ordinary Differential Equations**

**3 Units**

**Prerequisite:**MATH 260.

**Typically Offered:**Spring only

Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods. 3 hours discussion. (005538)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 361**

**Boundary Value Problems and Partial Differential Equations**

**3 Units**

**Prerequisite:**MATH 260.

**Typically Offered:**Fall only

Partial differential equations, separation of variables, orthogonal sets of functions, Sturm-Liouville problems, Fourier series, boundary value problems for the wave equation, heat equation, and Laplace equation; Bessel functions, Legendre polynomials. 3 hours discussion. (005540)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 385**

**Introduction to Data Science**

**3 Units**

**Typically Offered:**Fall only

Data Science is the science of learning from data in order to gain useful predictions and insights. The course provides an overview of the wide area of data science, with a particular focus on the tools required to store, clean, manipulate, visualize, model, and ultimately extract information from various sources of data. Topics include the analytics life cycle, data integration and modeling in R/Python, relational databases and SQL, text processing and sentiment analysis, and data visualization. Emphasis is placed on reproducible research, code sharing, version control, and communicating results to a non-technical audience. 3 hours discussion. (021756)

**Cross listing(s):**CSCI 385

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 398**

**Special Topics in Math**

**1-3 Units**

**Prerequisite:**At least one 100- or 200-level mathematics course appropriate to the subject, faculty permission.

**Typically Offered:**Fall and spring

This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 9 hours supervision. (005559)

**Grade Basis:**Graded

**Repeatability:**You may take this course more than once

**Course Attributes:**Upper Division

**MATH 399**

**Special Problems**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. MATH 399 cannot be used to fulfill major requirements without prior approval of the advisor and department chair. 0 hours supervision. (005560)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 401**

**CMP Institute - Summer 1**

**2 Units**

**Typically Offered:**Summer session only

CMP Institute - Summer 1 2 hours discussion. (005578)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Upper Division

**MATH 405**

**Cmp Institute-Sp**

**1 Unit**

**Typically Offered:**Spring only

1 hour lecture. (005552)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 407**

**CMP Institute - Summer 2**

**1 Unit**

**Typically Offered:**Summer session only

1 hour discussion. (005579)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 2 units

**Course Attributes:**Upper Division

**MATH 420W**

**Advanced Calculus (W)**

**3 Units**

**W, GW**

**Prerequisite:**GE Written Communication (A2) requirement, MATH 220, MATH 330W, upper-division standing.

**Typically Offered:**Fall and spring

Limits, continuity, uniform continuity, the definite integral, series, convergence, uniform convergence, and metric spaces. Differentiation and integration of functions of several variables. Transformation of multiple integrals. 3 hours discussion. (005575)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division; Writing Course; Graduation Writing Assessment

**MATH 421**

**Advanced Calculus**

**3 Units**

**Prerequisite:**MATH 420W.

**Typically Offered:**Spring only even years

Continuation of MATH 420W. 3 hours discussion. (005576)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 425W**

**Computational and Communication in Mathematical Modeling (W)**

**3 Units**

**W, GW**

**Prerequisite:**GE Written Communication (A2) requirement, completion of computer literacy requirement, MATH 225, MATH 235, MATH 330W, and upper division standing.

**Typically Offered:**Fall only

In this course, intended for pre-service teachers, student experience mathematical modeling with content common in the secondary setting (algebra through calculus) as well as from their undergraduate coursework and develop and produce formal modeling reports. Students use technology to aid in exploring real-world circumstances, make sense of and analyze existing models, and develop their own mathematical models. 3 hours discussion. (021977)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division; Writing Course; Graduation Writing Assessment

**MATH 428**

**Differential Geometry**

**3 Units**

**Typically Offered:**Fall only odd years

The geometry of curves and surfaces in Euclidean 3-space. 3 hours lecture. (005566)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 435**

**Linear Algebra**

**3 Units**

**Typically Offered:**Spring only even years

Vector spaces, linear operators, bilinear forms and scalar products, unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form. 3 hours discussion. (005581)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 437**

**Topology**

**3 Units**

**Typically Offered:**Fall only even years

Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness. 3 hours discussion. (005563)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 442**

**Mathematics and the Teaching of Mathematics**

**3 Units**

**Prerequisite:**MATH 342.

**Typically Offered:**Fall only

Completes a three course series, started with two semesters of Mathematics for the Credential, MATH 341 and MATH 342. Students compare instructional strategies and explore the role content and pedagogical content knowledge has in these strategies. Central to the class is a lesson study project which entails a cycle of lesson development, implementation, reflection and revision, and implementation again. Students concurrently enrolled in EDTE 535A, Teaching Practicum I for Blended Math Candidates, are able to implement their lesson as part of the practicum, and have a real context for the full content of the course. 3 hours lecture. (020978)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 449**

**Modern Algebra**

**3 Units**

**Typically Offered:**Fall only

Introduction to basic algebraic structures such as groups, ring, and fields. The fundamental concepts of homomorphism, subgroup, normal subgroup and factor group of a group as well as subring, ideal and factor ring of a ring; permutation groups and matrix groups. 3 hours discussion. (005582)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 450**

**Computational Statistics**

**3 Units**

**Prerequisite:**MATH 220, MATH 350 or MATH 650. Strongly Recommended: MATH 235 or a similar exposure to Linear Algebra.

**Typically Offered:**Fall only

Continuation of MATH 350 with a strong focus on computational tools used to fit statistical models. Topics may include Bayesian statistics, Monte Carlo, Markov chain Monte Carlo, optimization expectation-maximization algorithms, matrix decompositions, variational inference, stochastic optimization, and neural networks. This course requires the use of a laptop computer and appropriate software such as R or Python. 3 hours discussion. (005562)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division; Laptop required

**MATH 451**

**Modern Algebra II**

**3 Units**

**Prerequisite:**MATH 449.

**Typically Offered:**Spring only odd years

Continuation of MATH 449, topics may include group actions, the Sylow theorems, number fields, finite fields, algebraic extensions, field automorphisms, splitting fields of polynomials, Galois groups, and solvable groups. 3 hours discussion. (021971)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 456**

**Applied Statistical Methods II**

**3 Units**

**Typically Offered:**Spring only

Advanced topics in applied statistics including multiple and logistic regression, multivariate methods, multi-level modeling, repeated measures, and others as appropriate. The statistical programming language R is used. Appropriate for biology, agriculture, nutrition, business, psychology, social science and other majors. 3 hours discussion. (005570)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 458**

**Sampling Methods**

**3 Units**

**Typically Offered:**Spring only odd years

The theory and application of survey sampling techniques. Topics include simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Appropriate for mathematics, computer science, psychology, social science, agriculture, biology, and other majors. 3 hours discussion. (005573)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 461**

**Numerical Analysis**

**3 Units**

**Typically Offered:**Spring only

Approximation; numerical integration; numerical solution of ordinary and partial differential equations; interpolation and extrapolation. 3 hours discussion. (005584)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 465**

**Introduction to Complex Variables**

**3 Units**

**Prerequisite:**MATH 220.

**Typically Offered:**Fall only

Algebra of Complex Numbers, Cauchy-Riemann Equations, the exponential, trigonometric, and logarithmic functions, complex integration and Cauchy integral formula, Taylor and Laurent series, the residue theorem, conformal mapping, and applications. 3 hours discussion. (005577)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 472**

**Introduction to Chaotic Dynamical Systems**

**3 Units**

**Typically Offered:**Fall only odd years

An introduction to the study of non-linear dynamical systems. Both discrete and continuous systems will be studied using classical analysis combined with geometric techniques and computer simulation. Areas of application include fractal geometry, coding theory, fluid turbulence, population fluctuation, and chaotic vibrations of structures and circuits. 3 hours discussion. (005588)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 475**

**Calculus of Variations**

**3 Units**

**Typically Offered:**Fall only even years

Classical problems in the calculus of variations. Euler-Lagrange equations. Isoperimetric problems, Fermat's principle. Lagrangian and Hamiltonian mechanics of particles. Two independent variables. Applications to physics and engineering. 3 hours discussion. (005590)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 480**

**Mathematical Modeling**

**3 Units**

**Typically Offered:**Spring only

The translation of real world phenomena into mathematical language. Possible applications include population and competing species models, mathematical theories of war, traffic flow, river pollution, water waves and tidal dynamics, probabilistic and simulation models. 3 hours discussion. (005592)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 485**

**Advanced Topics in Data Science**

**3 Units**

**Typically Offered:**Spring only

Getting connected to current events in Data Science and building an online presence. Ethics of predictive analytics and privacy and open data. Reporting and dissemination of research using interactive dashboards and web-publishing. Introduction to current scalable technologies to handle Big Data. Introduction to advanced statistical analysis and machine learning techniques for Data Science. 3 hours lecture. (021890)

**Cross listing(s):**CSCI 485

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Upper Division

**MATH 490**

**Data Science Capstone**

**1-3 Units**

**Prerequisite:**MATH 485, senior standing, approved project, enrollment in the Data Science Certificate Program.

**Typically Offered:**Fall and spring

Students work independently to provide a service in the form of a data product to a local business, researcher, or community member. Students provide status reports at weekly meetings and present their finished project to a group of peers at the end of the semester in an appropriate venue such as at an undergraduate seminar series or poster symposium. 0 hours supervision. (021898)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 495H**

**Honors Reading Course**

**3 Units**

**Prerequisite:**Admission to the Department Honors Program, completion of MATH 420W with a grade of B or higher.

**Typically Offered:**Fall and spring

Directed reading in an advanced topic under the guidance of an Honors thesis supervisor. The course exceeds the usual level of difficulty associated with undergraduate work. It provides the background necessary to write an Honors thesis. 9 hours supervision. (005595)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 498**

**Advanced Topics in Mathematics**

**1-3 Units**

**Prerequisite:**At least one 300- or 400-level mathematics course appropriate to the subject, faculty permission.

**Typically Offered:**Fall and spring

This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 3 hours supervision. (005593)

**Grade Basis:**Graded

**Repeatability:**You may take this course more than once

**Course Attributes:**Upper Division

**MATH 499**

**Special Problems**

**1-3 Units**

**Prerequisite:**Faculty permission.

**Typically Offered:**Fall and spring

This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. 3 hours supervision. (005594)

**Grade Basis:**Credit/No Credit

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 499H**

**Honors Thesis**

**3 Units**

**Prerequisite:**Completion of MATH 495H with a grade of B or higher, and approval by the department Honors advisor and thesis supervisor of the proposed thesis topic.

**Typically Offered:**Fall and spring

Preparation of written thesis in mathematics under supervision of Honors thesis advisor. The thesis, based on studies begun in MATH 495H, will require original work beyond that normally required in undergraduate work. Completed written thesis must be approved by the thesis supervisor and Honors advisor. A summary of the thesis will be presented by the student in public lecture. Successful completion of MATH 495H and MATH 499H is one of the requirements for being designated as an Honors graduate in mathematics. 9 hours supervision. (005596)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Upper Division

**MATH 500**

**Data Science Seminar**

**1 Unit**

**Typically Offered:**Spring only

This seminar explores current and relevant applications and implementations of data science and analytical methods and tools in the field. Seminars include external and student-led presentations and hands-on tutorials. Emphasis is placed on students sharing and receiving feedback on an approved capstone or master's project. Appropriate for seniors and graduate students in relevant programs. 1 hour seminar. (022563)

**Grade Basis:**ABC/No Credit

**Repeatability:**You may take this course for a maximum of 4 units

**Course Attributes:**Upper Division; Laptop required

**MATH 589**

**Field Experience in Statistics and Data Science**

**3 Units**

**Typically Offered:**Fall and spring

This internship provides an authentic virtual (and in person when available) career experience, emphasizing problem solving, decision-making and remote collaboration skills, along with an understanding of leadership roles in a professional space. In addition to synchronous meetings with the faculty mentor, students work directly with students, staff or faculty in a drop-in consulting environment, and with research project staff at campus and community based organizations to learn about and contribute to the day-to-day operations of these organizations. 3 hours supervision. (022502)

**Grade Basis:**Graded

**Repeatability:**You may take this course for a maximum of 9 units

**Course Attributes:**Upper Division

**MATH 608**

**Data Science for Graduate Studies**

**3 Units**

**Prerequisite:**Basic programming knowledge, admission to the master's program in Data Science and Analytics or Computer Science, or faculty permission.

**Typically Offered:**Fall only

This course covers foundational practices of data science emphasizing reproducibility and ethical practices at all stages of the data science lifecycle. Recent advances and seminal works in data science and related fields will be discussed and scientific communication best practices will be addressed. Topics include version control, scientific thinking, web scraping, intermediate data wrangling, data visualization, modeling, prediction, classification, and text analysis in either R or Python. 3 hours discussion. (022535)

**Cross listing(s):**CSCI 608

**Grade Basis:**Graduate Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Graduate Division; Laptop required

**MATH 610**

**Topics in Mathematics for Secondary Teachers: Analysis**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore analysis topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of analysis. 3 hours seminar. (005599)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 615**

**Data Analysis for Graduate Research**

**3 Units**

**Typically Offered:**Fall only

This course provides a hands-on introduction to using data to rigorously answer research questions. Students practice cleaning and manipulating data, creating data visualizations, and conducting introductory level statistical analysis using real-world data sets that are relevant to their field. Analysis topics include single and two-sample inference, analysis of variance, multiple regression, analysis of co-variance, experimental design, repeated measures, nonparametric procedures, and categorical data analysis. Reproducible research is strongly emphasized through the use of statistical computing software (e.g., SPSS, Stata, SAS, R, Python). Recommended for all majors that use data for research. 3 hours discussion. (005597)

**Grade Basis:**Graduate Graded

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Graduate Division

**MATH 620**

**Topics in Mathematics for Secondary Teachers: Geometry**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore geometry appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of geometry. 3 hours seminar. (005602)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 630**

**Topics in Mathematics for Secondary Teachers: Foundations of Mathematics**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore the foundations of mathematics topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of the foundations of mathematics. 3 hours seminar. (005601)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 633**

**Topics in Mathematics for Secondary Teachers: Number Theory**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore number theory appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of number theory. 3 hours seminar. (005605)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 635**

**Topics in Mathematics for Secondary Teachers: Discrete Mathematics**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore discrete mathematics topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of discrete mathematics. 3 hours seminar. (005600)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 637**

**Topics in Mathematics for Secondary Teachers: History of Mathematics**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore the history of mathematics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of the history of mathematics. 3 hours seminar. (005603)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 640**

**Topics in Mathematics for Secondary Teachers: Modern Algebra**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore modern algebra topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of modern algebra. 3 hours seminar. (005598)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 650**

**Topics in Mathematics for Secondary Teachers: Probability and Statistics**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore probability and statistics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of probability and statistics. 3 hours seminar. (005606)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 651**

**Probability and Statistics for Data Science**

**3 Units**

**Typically Offered:**Fall only

This course covers simulation, probability theory and distributions, Bayes' methods, sampling distributions, and point and interval estimation. Also included are maximum likelihood, testing hypotheses, likelihood ratio tests, and multivariable regression theory. The statistical programming language R is used. 3 hours lecture. (022569)

**Grade Basis:**ABC/No Credit

**Repeatability:**You may take this course for a maximum of 3 units

**Course Attributes:**Graduate Division; Laptop required

**MATH 660**

**Topics in Mathematics for Secondary Teachers: Mathematical Modeling**

**3 Units**

**Prerequisite:**Admission to the master's program in mathematics education or instructor permission.

**Typically Offered:**Inquire at department

Through an array of pedagogical strategies, secondary mathematics teachers explore mathematical modeling appropriate for the seconday school curriculum. These topics and strategies provide a basis for the reflective analysis and deepening knowledge of mathematical modeling. 3 hours seminar. (005604)

**Grade Basis:**Report in Progress: ABC/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 697**

**Independent Study**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is a graduate-level independent study offered for 1.0-3.0 units. You must register directly with a supervising faculty member. 3 hours supervision. (005616)

**Grade Basis:**Report in Progress: Graded

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 698**

**Grad Advanced Topics in Math**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 9 hours supervision. (005615)

**Grade Basis:**Graduate Graded

**Repeatability:**You may take this course more than once

**Course Attributes:**Graduate Division

**MATH 699P**

**Master's Project**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. (005622)

**Grade Basis:**Report in Progress: CR/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division

**MATH 699T**

**Master's Study**

**1-3 Units**

**Typically Offered:**Fall and spring

This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. (005620)

**Grade Basis:**Report in Progress: CR/NC

**Repeatability:**You may take this course for a maximum of 6 units

**Course Attributes:**Graduate Division