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 Program Info
 Department Info
 Mathematics and Statistics Department
 Vesta Holt Hall 181
 (530)8986111
 (530)8983097 (fax)
 email: mathdept@csuchico.edu
 Chair: Richard L. Ford
 College of Natural Sciences
 Vesta Holt Hall 285
 (530)8986121
 (530)8984363 (fax)
 email: naturalsciences@csuchico.edu
 Dean: David M. Hassenzahl
 Faculty
 Course Offerings
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 EntryLevel 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  Sustainable  Units  Semester Offered  Course Flags 

MATH 011  Intensive Beginning Algebra  4.0  FA  
Prerequisites: ELM score of 32 or lower.
This nonbaccalaureate course employs nontraditional 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 nonbaccalaureate course employs nontraditional 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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
An informal approach to mathematics designed to bring an appreciation and workable knowledge of the subject to nonmajors. 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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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: GE Mathematics/Quantitative Reasoning Ready.
Descriptive statistics, sampling theory, statistical inference and tests of hypotheses, analysis of variance, chisquare 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: GE Mathematics/Quantitative Reasoning Ready; 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 1unit 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 problemsolving and skillbuilding in a studentcentered 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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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 116  College Algebra  4.0  FS  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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. This course, in addition to MATH 118, is a perquisite for MATH 120. 4 hours lecture.
(021954)
 
MATH 117  HandsOn Lab, Mathematics  2.0  FS  
Prerequisite: MATH 110. Corequisite: MATH 210 or faculty permission.
The HandsOn 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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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: GE Mathematics/Quantitative Reasoning Ready, 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 problemsolving 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: GE Mathematics/Quantitative Reasoning Ready; both MATH 118 and MATH 119 (or college equivalent); firstyear 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 problemsolving 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  
Prerequisite: MATH 120.
The definite integral and applications to area, volume, work, differential equations, etc. Sequences and series, vectors and analytic geometry in 2 and 3space, 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 secondsemester 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  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
This course is for special topics offered for 1.03.0 units. Typically the topic is offered on a onetimeonly 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 1.03.0 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.
Problemsolving, 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: GE Mathematics/Quantitative Reasoning Ready, 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 problemsolving 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 225  Algebra Functions, Real and Complex Number Systems  3.0  SP  
Prerequisite: MATH 125.
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)
 
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 nspace (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 1unit 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 problemsolving and skillbuilding in a studentcentered 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 K12 mathematics curriculum, understand connections between their university subject matter preparation and K12 academic content, and reflect on developmental and social factors that affect K12 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 problemsolving 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 onetimeonly 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 1.03.0 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  2.0  FS  
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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. 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 or MATH 225.
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 Kindergarten8th grade. Not acceptable for a mathematics major or minor except the Foundational Math Education option and Math Education minor. 3 hours discussion.
(005542)
 
MATH 311  Intuitive Foundations of Geometry  3.0  SP  
Prerequisites: MATH 110, MATH 210; or MATH 225.
An intuitive approach to problemsolving 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)
 
MATH 314  Probability and Statistics for Science and Technology  4.0  FS  
Prerequisite: MATH 121; and one of the following: CINS 110, CSCI 111, MATH 130 (may be taken concurrently), or MATH 230.
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 twosample inference, simple regression, one and twoway 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 covariance, 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 330W  Methods of Proof (W)  3.0  FS  W  
Prerequisites: GE Written Communication (A2) requirement and 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. This is an approved Writing Course. Formerly MATH 330.
(005530)
 
MATH 333  History of Mathematics  3.0  SP  
Prerequisites: MATH 121; MATH 220 or MATH 225; 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, numbertheoretic 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 or MATH 225.
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 problemsolving, 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 or MATH 225; MATH 330.
An exploration of axioms and models for Euclidean and nonEuclidean 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, SturmLiouville 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 nontechnical audience. 3 hours discussion.
(021756)
 
MATH 398  Special Topics in Math  1.0 3.0  FS  
Prerequisites: At least one 100 or 200level mathematics course appropriate to the subject, faculty permission.
This course is for special topics offered for 1.03.0 units. Typically the topic is offered on a onetimeonly 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 1.03.0 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 InstituteSp  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, upperdivision 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 better certifies writing proficiency for majors. This is an approved Writing Course.
(005575)
 
MATH 421  Advanced Calculus  3.0  SP  
Prerequisite: MATH 420W.
Continuation of MATH 420W. 3 hours discussion.
(005576)
 
MATH 425W  Computational and Communication in Mathematical Modeling (W)  3.0  FA  GW W  
Prerequisites: GE Written Communication (A2) requirement, completion of computer literacy requirement, MATH 225, MATH 235, MATH 330W, and upper division standing.
In this course, intended for preservice 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 realworld circumstances, make sense of and analyze existing models, and develop their own mathematical models. 3 hours discussion. This is an approved Graduation Writing Assessment Requirement course; a grade of C or better certifies writing proficiency for majors. This is an approved Writing Course.
(021977)
 
MATH 428  Differential Geometry  3.0  F1  
Prerequisites: MATH 220, MATH 330.
The geometry of curves and surfaces in Euclidean 3space. 3 hours lecture.
(005566)
 
MATH 435  Linear Algebra  3.0  S2  
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  F2  
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  FA  
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, NeymanPearson hypothesis testing, likelihood ratio tests, and Bayesian statistics. 3 hours discussion.
(005562)
 
MATH 451  Modern Algebra II  3.0  S1  
Prerequisite: MATH 449.
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)
 
MATH 456  Applied Statistical Methods II  3.0  S2  
Prerequisites: MATH 314 or MATH 315.
Advanced topics in applied statistics including multiple and logistic regression, multivariate methods, multilevel 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)
 
MATH 458  Sampling Methods  3.0  S1  
Prerequisite: MATH 314, MATH 315, or MATH 351 (may be taken concurrently).
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, CauchyRiemann 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 nonlinear 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. EulerLagrange 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 webpublishing. 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. 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 420W 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 400level mathematics course appropriate to the subject, faculty permission.
This course is for special topics offered for 1.03.0 units. Typically the topic is offered on a onetimeonly 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 1.03.0 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 twosample inference, analysis of variance, multiple regression, analysis of covariance, 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 graduatelevel independent study offered for 1.03.0 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 1.03.0 units. Typically the topic is offered on a onetimeonly 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 1.06.0 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 1.06.0 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)

SUBJ NUM  Title  Sustainable  Units  Semester Offered  Course Flags 

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 sociocultural 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 602  Equitable Access to Mathematics in the Secondary Classroom  3.0  F1  
Prerequisites: MTHE 601, Admission to Master's degree program in Math Education.
This course is an examination of literature, theories, and pedagogical practices pertaining to equity in secondary mathematics classrooms and similar settings. Students engage in discussion and analysis of selected readings on equity in Mathematics Education, and students learn about, practice, and reflect on pedagogical techniques to promote equitable access to mathematics. Major assessments occur in portfolio format. 2 hours lecture, 1 hour discussion.
(022026)
 
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 manuscriptinprogress. 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)
