Please see the section on Course Description Symbols and Terms in the University Catalog for an explanation of course description terminology and symbols, the course numbering system, and course credit units. All courses are lecture and discussion and employ letter grading unless otherwise stated. Some prerequisites may be waived with faculty permission. Many syllabi are available on the Chico Web.

Mathematics Course Offerings

In certain courses, at the discretion of the instructor, you may be required to buy a computer program and/or graphing calculator.

Completion of the Entry-Level Mathematics (ELM) requirement is a prerequisite for registration in all MATH courses.

Enrollment in any mathematics course requires a grade of C- or higher in all prerequisite courses or their transfer equivalents.

SUBJ NUM	Title	Units	Semester Offered	Course Flags
MATH 011	Intensive Beginning Algebra	4.0	FA
Prerequisites: ELM score of 32 or lower. This non-baccalaureate course employs non-traditional teaching methods and learning strategies that have been specially designed to enhance student success in the course. Introduction to the basic properties of real numbers, variables, equations, algebraic expressions, functions and their graphs. Includes evaluation of expressions and formulas; translation from words to symbols; solutions of linear equations and inequalities; absolute value; powers and roots; solving two linear equations in two unknowns; real world applications. Satisfactory completion of this course fulfills the prerequisite for enrollment in Intermediate Algebra (MATH 012 or MATH 051). ABC/no credit grading only. 4 hours lecture. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements. (005490)
MATH 012	Intensive Intermediate Algebra	4.0	SP
Prerequisites: Credit in MATH 011, faculty permission. This non-baccalaureate course employs non-traditional teaching methods and learning strategies that have been specially designed to enhance student success in the course. Review of linear equations, inequalities, exponents, and polynomials, functions, rational expressions, rational exponents, and radicals, quadratic equations, systems of linear equations and logarithms. Satisfactory completion of this course fulfills the prerequisite for enrollment in a General Education level mathematics course. ABC/no credit grading only. 4 hours lecture. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements. (005492)
MATH 031	Foundational Mathematics A	1.0	FS
Prerequisite: GE Math Ready with Support and Early Start Program. Foundational level California Common Core State Standards mathematics topics. Satisfactory completions of this course fulfills the prerequisite for enrollment in Math 051. This course is a supplemental requirement for ELM placement category IV students required to enroll in designated general education courses. 3 hours laboratory. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements. Credit/no credit grading. (005493)
MATH 032	Accelerated Intermediate Algebra	4.0	FS
Prerequisites: Successful completion of MDTP exam given in MATH 031. This course is open only to students enrolled in MATH 031 (or in MATH 011 with instructor permission) who pass an MDTP exam during the fourth week of classes. If a student passes the exam, his or her enrollment will automatically be changed to MATH 032. The content of this course is identical with that of MATH 051. Satisfactory completion of this course fulfills the prerequisite for enrollment in a General Education level mathematics course and satisfies the ELM requirement. ABC/no credit grading only. 2 hours lecture, 2 hours discussion. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements. (005496)
MATH 051	Foundational Mathematics B	1.0	FS
Prerequisite: Credit in Math 031 or GE Math Ready with Support. Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for ELM placement category III students required to enroll in designated general education courses. 3 hours laboratory. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements. ABC/no credit grading. (005498)
MATH 101	Patterns of Mathematical Thought	3.0	FS	GE
Prerequisites: Completion of ELM requirement. 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. 2 hours lecture, 1 hour discussion. This is an approved General Education course. (005514)
MATH 105	Statistics	3.0	FS	GE
Prerequisites: Completion of ELM requirement. Summary of numerical data, elementary probability, distributions, and introduction to statistical inference. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course. (005501)
MATH 107	Finite Mathematics for Business	3.0	FS	GE
Prerequisites: Completion of ELM requirement. Solutions to systems of linear equations, matrices, linear programming, combinatorics, probability, binomial and normal distributions. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course. (005521)
MATH 108	Statistics of Business and Economics	3.0	FS	GE
Prerequisite: Completion of ELM requirement. 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 lecture, 1.5 hours discussion. This is an approved General Education course. (001042)
MATH 109	Survey of Calculus	4.0	FS	GE
Prerequisites: Completion of ELM requirement; MATH 118, MATH 119 (or High School equivalents). 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. This is an approved General Education course. (005512)
MATH 109X	Survey of Calculus Problem Solving Session	1.0	FS
Corequisite: MATH 109. This is a 1-unit supplement to Survey of Calculus, MATH 109. This is structured as a workshop designed to complement MATH 109 students with broader and deeper applications of calculus, providing students with opportunities for additional problem-solving and skill-building in a student-centered collaborative environment. 3 hours independent study. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading. (021280)
MATH 110	Concepts and Structures of Mathematics	3.0	FS	GE
Prerequisites: Completion of ELM requirement. Structure of the real number system, operations on real numbers, number theory. Not acceptable for a mathematics major or minor. 3 hours discussion. This is an approved General Education course. (005522)
MATH 117	Hands-On Lab, Mathematics	2.0	FS
Prerequisite: MATH 110. Corequisite: MATH 210 or faculty permission. 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. You may take this course more than once for a maximum of 4.0 units. (020430)
MATH 118	Trigonometry	3.0	FS	GE
Prerequisites: Completion of ELM requirement. Trigonometric functions, graphs, identities and conditional equations, logarithms, solutions of triangles, and complex numbers. 3 hours discussion. This is an approved General Education course. (005500)
MATH 119	Precalculus Mathematics	4.0	FS	GE
Prerequisites: Completion of ELM requirement, and either 1/2 year of high school trigonometry or MATH 118 (may be taken concurrently). 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. This is an approved General Education course. (005504)
MATH 119X	Precalculus Problem Session	1.0	FS
Prerequisites: Faculty permission. Corequisites: MATH 119. 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. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading. (005505)
MATH 120	Analytic Geometry and Calculus	4.0	FS	GE
Prerequisites: Completion of ELM requirement; both MATH 118 and MATH 119 (or college equivalent); first-year freshmen who successfully completed trigonometry and precalculus in high school can meet this prerequisite by achieving a score that meets department guidelines on a department administered calculus readiness exam. 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. This is an approved General Education course. (005506)
MATH 120X	Calculus Problem Session	1.0	FS
Prerequisites: Faculty permission. Corequisites: MATH 120. 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. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading. (005510)
MATH 121	Analytic Geometry and Calculus	4.0	FS
Prerequisites: MATH 120. 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)
MATH 121X	Calculus Problem Session	1.0	FS
Prerequisites: Concurrent enrollment in MATH 121, faculty permission. 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. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading. (005511)
MATH 125	Advanced Number and Operation	3.0	FA
Prerequisite: Successful completion of high school precalculus, concurrent enrollment in MATH 118 or 119, or faculty permission. 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)
MATH 130	Introduction to R	1.0	FS
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 R in an environment that emphasizes reproducible research and literate programming. Target audience is anyone who wants to do their own data analysis. Topics include: R programming basic, importing data, properties of tidy data, visualizing data, reproducible research with Markdown and basic data wrangling. The course culminates with a data analysis project that will be subject to peer evaluation. 1 hour discussion. You may take this course more than once for a maximum of 2.0 units. This course requires the use of a laptop computer and appropriate software. Credit/no credit grading. (021774)
MATH 195	Project MATH Seminar Year 1	1.0	FS
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. 1 hour seminar. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading. (020431)
MATH 198	Special Topics	1.0 -3.0	FS
Prerequisites: Completion of ELM requirement. 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)
MATH 199	Special Problems	1.0 -3.0	FS
This course is an independent study of special problems offered for 1.0-3.0 units. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (020782)
MATH 210	Concepts and Structures of Mathematics	3.0	FS
Prerequisite: MATH 110. Problem-solving, probability and statistics, measurement and the metric system, geometry. Not acceptable for a mathematics major or minor. 3 hours discussion. (005523)
MATH 217	Discrete Mathematics	3.0	FS
Prerequisites: Completion of ELM, CSCI 111 with a grade of C or higher, MATH 119 (or equivalent). 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)
MATH 220	Analytic Geometry and Calculus	4.0	FS
Prerequisites: MATH 121. 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)
MATH 220X	Calculus Problem Session	1.0	FS
Corequisites: MATH 220. 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. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading. (020358)
MATH 230	An Introduction to Computational Mathematics	3.0	FA
Prerequisites: MATH 121, no previous computer experience required. 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. You may take this course more than once for a maximum of 9.0 units. (005526)
MATH 235	Elementary Linear Algebra	3.0	FS
Prerequisites: MATH 121. 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)
MATH 235X	Linear Algebra Problem Solving Session	1.0	FS
Corequisite: MATH 235. This is a 1-unit supplement to Linear Algebra, MATH 235. This is structured as a workshop to complement MATH 235 students with broader and deeper applications of the subject, providing students with opportunities for additional problem-solving and skill-building in a student-centered collaborative environment. 3 hours independent study. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading. (021281)
MATH 241	Secondary Math Early Field Experience	1.0	FS
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. You may take this course more than once for a maximum of 4.0 units. Credit/no credit grading. (020432)
MATH 260	Elementary Differential Equations	4.0	FS
Prerequisites: MATH 121. 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)
MATH 260X	Elementary Differential Equations Problem Session	1.0	FS
Corequisites: MATH 260. 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. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading. (020315)
MATH 290	Mathematics and Statistics Tutoring	1.0	FS
Corequisites: Concurrent enrollment in a course offered through the Dept of Mathematics & Statistics at CSU, Chico. This course provides supplemental mathematics & statistics tutoring. 3 hours independent study. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading. (020823)
MATH 295	Project MATH Seminar Year 2	1.0	FS
Prerequisite: MATH 195. 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. 1 hour seminar. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading. (020433)
MATH 298	Special Topics	1.0 -3.0	INQ
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. (021615)
MATH 299	Special Problems	1.0 -3.0	INQ
Prerequisites: Faculty permission. 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. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (021629)
MATH 300	Undergraduate Mathematics Seminar	1.0	FS
Prerequisite: Passing score on the ELM. 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. 1 hour lecture. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading. (021647)
MATH 305	Conceptual and Practical Statistics	3.0	SP
Prerequisites: MATH 120 or MATH 109 (may be taken concurrently). 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)
MATH 310	Patterns and Structures in Mathematics	3.0	FS
Prerequisites: MATH 110, MATH 210. An intuitive investigation into mathematics to find recurrent themes. Problem-solving techniques and a search for patterns will be used throughout a discussion of topics such as modular arithmetic, complex numbers, mathematical sequences and their applications. Not acceptable for a mathematics major or minor. 3 hours discussion. (005542)
MATH 311	Intuitive Foundations of Geometry	3.0	SP
Prerequisites: MATH 110, MATH 210. An intuitive approach to problem-solving in coordinate geometry, motion geometry, and space geometry. Concrete models will be used for analyzing abstract ideas. Not acceptable for a mathematics major or minor. 3 hours discussion. (005543)
MATH 314	Probability and Statistics for Science and Technology	4.0	FS
Prerequisite: MATH 121. 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)
MATH 315	Applied Statistical Methods I	3.0	FS
Prerequisite: MATH 105, MATH 109, or MATH 120, or faculty permission. 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)
MATH 330	Methods of Proof	3.0	FS
Prerequisites: MATH 121. 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)
MATH 333	History of Mathematics	3.0	SP
Prerequisites: MATH 220 and at least one upper-division mathematics course. MATH 330 is recommended. Study of the historical development of mathematics, with particular emphasis on the relationship between mathematics and society. 3 hours discussion. (005531)
MATH 337	Introduction to the Theory of Numbers	3.0	FA
Prerequisites: MATH 121, MATH 330. 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)
MATH 341	Mathematical Topics for the Credential	3.0	FA
Prerequisites: MATH 121. 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)
MATH 342	Math Topics for the Credential	3.0	SP
Prerequisites: MATH 341. 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)
MATH 344	Combinatorial Mathematics and Graph Theory	3.0	FA
Prerequisites: MATH 121, MATH 330. The analysis of mathematical and applied problems through the use of permutations and combinations, generating functions and recurrence relations. Directed graphs, trees, connectivity, and duality. 3 hours discussion. (005591)
MATH 346	College Geometry	3.0	SP
Prerequisites: MATH 220, MATH 330. 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)
MATH 350	Introduction to Probability and Statistics	3.0	FA
Prerequisites: MATH 121. Basic concepts of probability theory, random variables and their distributions, limit theorems, sampling theory, topics in statistical inference, regression, and correlation. 3 hours discussion. (005534)
MATH 351	Introduction to Probability and Statistics	3.0	SP
Prerequisites: MATH 350. Continuation of MATH 350. 3 hours discussion. (005535)
MATH 360	Ordinary Differential Equations	3.0	SP
Prerequisites: MATH 260. Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods. 3 hours discussion. (005538)
MATH 361	Boundary Value Problems and Partial Differential Equations	3.0	FA
Prerequisites: MATH 260. 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)
MATH 385	Introduction to Data Science	3.0	FA
Prerequisites: CSCI 111, MATH 130, or MATH 230; MATH 109 or MATH 120. This course is also offered as CSCI 385. 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)
MATH 398	Special Topics in Math	1.0 -3.0	FS
Prerequisites: At least one 100- or 200-level mathematics course appropriate to the subject, faculty permission. 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)
MATH 399	Special Problems	1.0 -3.0	FS
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. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (005560)
MATH 401	CMP Institute - Summer 1	2.0	SM
2 hours discussion. You may take this course more than once for a maximum of 4.0 units. (005578)
MATH 405	Cmp Institute-Sp	1.0	SP
1 hour lecture. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (005552)
MATH 407	CMP Institute - Summer 2	1.0	SM
1 hour discussion. You may take this course more than once for a maximum of 2.0 units. (005579)
MATH 420W	Advanced Calculus (W)	3.0	FS	GW W
Prerequisites: Completion of GE Written Communication (A2) requirement, MATH 220, MATH 330, upper-division standing. 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. This is an approved Graduation Writing Assessment Requirement course; a grade of C- or higher certifies writing proficiency for majors. This is an approved Writing Course. Formerly MATH 420. (005575)
MATH 421	Advanced Calculus	3.0	SP
Prerequisite: MATH 420W. Continuation of MATH 420W. 3 hours discussion. (005576)
MATH 428	Differential Geometry	3.0	FA
Prerequisites: MATH 220, MATH 330. The geometry of curves and surfaces in Euclidean 3-space. 3 hours lecture. (005566)
MATH 435	Linear Algebra	3.0	FA
Prerequisites: MATH 220, MATH 235, MATH 330. Vector spaces, linear operators, bilinear forms and scalar products, unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form. 3 hours discussion. (005581)
MATH 437	Topology	3.0	S2
Prerequisites: MATH 220, MATH 330. Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness. 3 hours discussion. (005563)
MATH 441	Math Topics for the Credential	4.0	FS
Prerequisites: MATH 342. Corequisites: Assignment as a Mathematics Department intern. Supervised internship in teaching mathematics with accompanying seminar. Guidance in facilitation of mathematical learning. Topics include contemporary mathematics curriculum topics, mathematical learning theories, communication, and assessment. 3 hours seminar, 3 hours supervision. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading. (005546)
MATH 442	Mathematics and the Teaching of Mathematics	3.0	FA
Prerequisites: MATH 342. 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)
MATH 449	Modern Algebra	3.0	SP
Prerequisites: MATH 220, MATH 235, MATH 330. 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)
MATH 450	Mathematical Statistics	3.0	FA
Prerequisites: MATH 220, MATH 330, MATH 351. A rigorous theoretical treatment of the following topics: transformations of random variables, estimation, Neyman-Pearson hypothesis testing, likelihood ratio tests, and Bayesian statistics. 3 hours discussion. (005562)
MATH 456	Applied Statistical Methods II	3.0	S2
Prerequisites: MATH 315. Advanced topics in applied statistics including multiple regression, multivariate methods, nonparametrics, analysis of covariance, bootstrap methods and others as appropriate. Statistical computer packages are introduced and used. Appropriate for biology, agriculture, nutrition, business, psychology, social science and other maojrs. 3 hours discussion. (005570)
MATH 458	Sampling Methods	3.0	S1
Prerequisites: One course chosen from MATH 105, MATH 305, MATH 350, or MATH 315. 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)
MATH 461	Numerical Analysis	3.0	SP
Prerequisites: MATH 220 or MATH 260; completion of computer literacy requirement. Approximation; numerical integration; numerical solution of ordinary and partial differential equations; interpolation and extrapolation. 3 hours discussion. (005584)
MATH 465	Introduction to Complex Variables	3.0	FA
Prerequisites: MATH 220. 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)
MATH 472	Introduction to Chaotic Dynamical Systems	3.0	F1
Prerequisites: MATH 260. Recommended: MATH 235, MATH 360. 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)
MATH 475	Calculus of Variations	3.0	F2
Prerequisites: MATH 260; MATH 361 is recommended. 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)
MATH 480	Mathematical Modeling	3.0	SP
Prerequisites: MATH 235, MATH 260. 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)
MATH 485	Advanced Topics in Data Science	3.0	SP
Prerequisites: CSCI 385 or MATH 385; MATH 456 (may be taken concurrently). This course is also offered as CSCI 485. 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)
MATH 490	Data Science Capstone	1.0 -3.0	FS
Prerequisites: MATH 485, senior standing, approved project, enrollment in the Data Science Certificate Program. 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. You may take this course more than once for a maximum of 6.0 units. (021898)
MATH 495H	Honors Reading Course	3.0	FS
Prerequisites: Admission to the Department Honors Program, completion of MATH 420 with a grade of B or higher. 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. You may take this course more than once for a maximum of 6.0 units. (005595)
MATH 498	Advanced Topics in Mathematics	1.0 -3.0	FS
Prerequisites: At least one 300- or 400-level mathematics course appropriate to the subject, faculty permission. 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)
MATH 499	Special Problems	1.0 -3.0	FS
Prerequisites: Faculty permission. 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. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (005594)
MATH 499H	Honors Thesis	3.0	FS
Prerequisites: 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. 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. You may take this course more than once for a maximum of 6.0 units. (005596)
MATH 610	Topics in Mathematics for Secondary Teachers: Analysis	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005599)
MATH 615	Statistical Methods for Graduate Research	3.0	FA
Prerequisites: MATH 105, MATH 305, MATH 315, or MATH 350 (only one is required). Introduction to common procedures used to analyze data. 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 will be drawn from Biology and related disciplines. Statistical computer packages will be introduced. Appropriate for biology, agriculture, nutrition, psychology, social science, and other majors. 3 hours discussion. (005597)
MATH 620	Topics in Mathematics for Secondary Teachers: Geometry	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005602)
MATH 630	Topics in Mathematics for Secondary Teachers: Foundations of Mathematics	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005601)
MATH 633	Topics in Mathematics for Secondary Teachers: Number Theory	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005605)
MATH 635	Topics in Mathematics for Secondary Teachers: Discrete Mathematics	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005600)
MATH 637	Topics in Mathematics for Secondary Teachers: History of Mathematics	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005603)
MATH 640	Topics in Mathematics for Secondary Teachers: Modern Algebra	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005598)
MATH 650	Topics in Mathematics for Secondary Teachers: Probability and Statistics	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005606)
MATH 660	Topics in Mathematics for Secondary Teachers: Mathematical Modeling	3.0	INQ
Prerequisites: Admission to the master's program in mathematics education or instructor permission. 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. You may take this course more than once for a maximum of 6.0 units. (005604)
MATH 697	Independent Study	1.0 -3.0	FS
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. You may take this course more than once for a maximum of 6.0 units. (005616)
MATH 698	Grad Advanced Topics in Math	1.0 -3.0	FS
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)
MATH 699P	Master's Project	1.0 -3.0	FS
This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (005622)
MATH 699T	Master's Study	1.0 -3.0	FS
This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading. (005620)

Mathematics Education Course Offerings

SUBJ NUM	Title	Units	Semester Offered
MTHE 601	Research in Mathematics Education	3.0	SM
Prerequisites: Admission to a master's degree program in mathematics education or permission of instructor. This course will examine research in mathematics education that includes areas of teaching, learning, curriculum, and socio-cultural context. Selected research will be critically reviewed for research design and claims. In a culminating project, students will conduct a review on a specific topic in math education research literature. This is a required course in the MA and MS programs in mathematics education. 3 hours seminar. (005929)
MTHE 680	Research Methods in Science Education.	3.0	INQ
Prerequisites: Admission to master's degree program in science teaching, NSCT 687, faculty permission. The course focuses on quantitative and qualitative methods to conduct research in science education that informs and strengthens their classroom practice. Successful completion of the course requires students to develop a research proposal. 9 hours supervision. (005930)
MTHE 690	Thesis/Project Writing Seminar	1.0 -3.0	FS
Prerequisites: MTHE 680. Formulation and pursuit, with supervision, of advanced projects and theses. The emphasis is on planning, reading, discussing, and evaluating student's manuscript-in-progress. This is a required course in the MA and MS programs in mathematics education. 3 hours seminar. You may take this course more than once for a maximum of 3.0 units. (005931)