Mathematics 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.

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.

Intensive Beginning Algebra
4.0 Fa/Spr

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. 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)

Intensive Intermediate Algebra
4.0 Fa/Spr

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. 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)

Beginning Algebra
4.0 Fa/Spr

Prerequisites: ELM score of 34-40.

Introduction to the basic properties of real numbers, variables, equations, algebraic expressions, functions and their graphs. This 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. During the fourth week of class, an MDTP exam will be given. Students who pass will automatically be transferred to MATH 032, which meets at the same time; students who do not pass will remain enrolled in MATH 031. Satisfactory completion of this course fulfills the prerequisite for enrollment in Intermediate Algebra. ABC/no credit grading only. 2.0 hours lecture, 2.0 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. (005493)

Accelerated Intermediate Algebra
4.0 Fa/Spr

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. 2.0 hours discussion, 2.0 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. (005496)

Intermediate Algebra
3.0 Fa/Spr

Prerequisites: Credit in MATH 011 or credit in MATH 031; or ELM score 42-48.

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 and satisfies the ELM requirement. ABC/no credit grading only. 1.0 hours discussion, 2.0 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. (005498)

Patterns of Mathematical Thought
3.0 Fa/Spr

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. A grade of C- or higher is required for GE credit. 1.0 hours discussion, 2.0 hours lecture. This is an approved General Education course. (005514)

Patterns of Mathematical Thought - Honors
3.0 Fall

Prerequisites: Completion of ELM requirement, acceptance into the Honors in General Education Program.

A special section of MATH 101 for students in the Honors in General Education program. 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. A grade of C- or higher is required for GE credit. (005515)

Statistics
3.0 Fa/Spr

Prerequisites: Completion of ELM requirement.

Summary of numerical data, elementary probability, distributions, and introduction to statistical inference. A grade of C- or higher is required for GE credit. 1.5.0 hours discussion, 1.5.0 hours lecture. This is an approved General Education course. (005501)

Statistics - Honors
3.0 Fall

Prerequisites: Completion of ELM requirement, acceptance into the Honors in General Education Program.

A special section of MATH 105 for students in the Honors in General Education Program. Summary of numerical data, elementary probability, distributions, and introduction to statistical inference. A grade of C- or higher is required for GE credit. This is an approved General Education course. (005503)

Finite Mathematics for Business
3.0 Fa/Spr

Prerequisites: Completion of ELM requirement.

Solutions to systems of linear equations, matrices, linear programming, combinatorics, probability, binomial and normal distributions. A grade of C- or higher is required for GE credit. 1.5.0 hours discussion, 1.5.0 hours lecture. This is an approved General Education course. (005521)

Statistics of Business and Economics
3.0 Fa/Spr

Prerequisites: For business administration students: MATH 107. For other students: completion of General Education Breadth Area A4 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. 2.0 hours lecture, 1.0 hours discussion. (001042)

Survey of Calculus
4.0 Fa/Spr

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 grade of C- or higher is required for GE credit. This is an approved General Education course. (005512)

Concepts and Structures of Mathematics
3.0 Fa/Spr

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. (005522)

Concepts and Structures of Mathematics
3.0 Fa/Spr

Prerequisites: Completion of ELM requirement, one year of high school geometry.

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

MathLinks Seminar, Primary
1.0 Fa/Spr

Prerequisites: MATH 110, concurrent enrollment in MATH 111, faculty permission.

Number sense, algebra and functions, data analysis, probability, statistics, geometry, measurement, and mathematical reasoning in primary grades classrooms. Weekly tutoring in mathematics in primary grades classrooms is a course requirement. Not acceptable for mathematics major or minor. 2.0 hours activity. Credit/no credit grading only. (005524)

MathLinks Seminar, Intermediate
1.0 Fa/Spr

Prerequisites: MATH 110, concurrent enrollment in MATH 111, faculty permission

Number sense, algebra and functions, data analysis, probability, statistics, geometry, measurement, and mathematical reasoning in intermediate grades classrooms. Weekly tutoring in mathematics in intermediate grades classrooms is a course requirement. Not acceptable for a mathematics major or minor. 2.0 hours activity. Credit/no credit grading only. (005525)

Hands-On Lab, Mathematics
2.0 Fa/Spr

Prerequisites: MATH 110.

Corequisites: MATH 111 or permission of instructor.

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. (020430)

Trigonometry
3.0 Fa/Spr

Prerequisites: Completion of ELM requirement.

Trigonometric functions, graphs, identities and conditional equations, logarithms, solutions of triangles, and complex numbers. A grade of C- or higher is required for GE credit. This is an approved General Education course. (005500)

Precalculus Mathematics
4.0 Fa/Spr

Prerequisites: Completion of ELM requirement, and either 1/2 year of high school trigonometry or MATH 118.

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. A grade of C- or higher is required for GE credit. This is an approved General Education course. (005504)

Precalculus Problem Session
1.0 Fa/Spr

Prerequisites: Concurrent enrollment in MATH 119, faculty permission.

Designed to supplement MATH 119 with additional applications. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. 2.0 hours activity. Credit/no credit grading only. (005505)

Analytic Geometry and Calculus
4.0 Fa/Spr

Prerequisites: Completion of ELM requirement; both MATH 118 and MATH 119 (or high school equivalent); 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. A grade of C- or higher is required for GE credit. This is an approved General Education course. (005506)

Calculus Problem Session
1.0 Fa/Spr

Prerequisites: Concurrent enrollment in MATH 120, faculty permission.

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. 2.0 hours activity. Credit/no credit grading only. (005510)

Analytic Geometry and Calculus
4.0 Fa/Spr

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. (005507)

Calculus Problem Session
1.0 Fa/Spr

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. 2.0 hours activity. Credit/no credit grading only. (005511)

Project MATH Seminar Year 1
1.0 Fa/Spr

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. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading only. (020431)

Special Topics
1.0-3.0 Fa/Spr

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. (005528)

Discrete Mathematical Structures
3.0 Fall

Prerequisites: Completion of ELM, MATH 119 (or equivalent), CSCI 111.

A rigorous introduction to discrete mathematical structures for computer science majors (fulfills a requirement for the minor in math). Topics include propositional and predicate calculus; basic proof methods; sets, functions, and operations with them; algorithms and their complexity; applications of number theory to computer science and computer security; matrices and matrix arithmetic; mathematical induction, recursive definitions and algorithms; combinatorics and counting techniques; relations and their representation by matrices and digraphs, applications to databases; equivalence relations and partitions of sets; partially ordered sets, lattices, and Boolean algebras; Boolean functions and circuits; graphs, trees, and their applications; formal languages and grammars; finite-state automata and language recognition, regular languages. Formerly MATH 317. (005550)

Analytic Geometry and Calculus
4.0 Fa/Spr

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. (005508)

An Introduction to Computational Mathematics
3.0 Spring

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. You may take this course more than once for a maximum of 9.0 units. (005526)

Elementary Linear Algebra
3.0 Fa/Spr

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. Formerly MATH 335. (005553)

Secondary Mathematics Early Field Experience
1.0 Fa/Spr

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. You may take this course more than once for a maximum of 4.0 units. Credit/no credit grading only. (020432)

Elementary Differential Equations
4.0 Fa/Spr

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. (005509)

Elementary Differential Equations Problem Session
1.0 Fa/Spr

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. 2.0 hours activity. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading only. (020315)

Mathematics and Statistics Tutoring
1.0 Fa/Spr

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

This course provides supplemental mathematics & statistics tutoring. (020823)

Note: The highlighted is different from what appears in the printed catalog. What is displayed is current and correct.
Project MATH Seminar Year 2
1.0 Fa/Spr

Prerequisites: 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. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading only. (020433)

Science and Strategy in War and Peace
3.0 Spring

Prerequisites: Completion of the General Education Breadth Area A4 requirement, Mathematical Concepts.

The study of the scientific and strategic principles underlying war and peace in the 21st Century. Concepts from the physical sciences. The strategic theories of Sun Tzu and Clausewitz. Warfare in the 20th Century, especially the development and effects of nuclear weapons. The world after Sept. 11, 2001. This course cannot be used for credit toward a mathematics major or minor, a mathematics emphasis under the Liberal Studies major, or any credential. This is an approved General Education course. (004876)

Statistical Tests for Inequalities
3.0 Fa/Spr

Prerequisites: Completion of General Education Breadth Area A4 requirement.

The study of statistical principles. Descriptive statistics, regression analysis, sampling theory, statistical inference for population means and proportions. Economic systems. Ideologies related to economic systems. Quantitative and statistical measures of economic inequality, including the Gini index, Lorenz curve, Income Disparity Index, and the Kuznets curve. Applications to social and economic inequality. This course may not be used to fulfill requirements for a major or minor in mathematics. This is an approved General Education course. (005557)

Conceptual and Practical Statistics
3.0 Spring

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. (005532)

Patterns and Structures in Mathematics
3.0 Fa/Spr

Prerequisites: MATH 110, MATH 111.

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. (005542)

Intuitive Foundations of Geometry
3.0 Fa/Spr

Prerequisites: MATH 110, MATH 111.

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. (005543)

Probability and Statistics for Science and Technology
4.0 Spring

Prerequisites: 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 350 and MATH 314. (005533)

Applied Statistical Methods I
3.0 Fall

Prerequisites: MATH 105 or MATH 350 or faculty permission.

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 are drawn from biology and related disciplines. Statistical packages are introduced. Appropriate for biology, agriculture, nutrition, psychology, social science and other majors. Special fee required; see the Class Schedule. (005568)

Methods of Proof
3.0 Fa/Spr

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. (005530)

History of Mathematics
3.0 Spring

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. (005531)

Introduction to the Theory of Numbers
3.0 Fall

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. (005585)

Mathematical Topics for the Credential
3.0 Fall

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. (005544)

Math Topics for the Credential
3.0 Spring

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. (005545)

Combinatorial Mathematics and Graph Theory
3.0 Fall

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. (005591)

College Geometry
3.0 Spring

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. (005561)

Introduction to Probability and Statistics
3.0 Fall

Prerequisites: MATH 121.

Basic concepts of probability theory, random variables and their distributions, limit theorems, sampling theory, topics in statistical inference, regression, and correlation. (005534)

Introduction to Probability and Statistics
3.0 Spring

Prerequisites: MATH 350.

Continuation of MATH 350. (005535)

Ordinary Differential Equations
3.0 Spring

Prerequisites: MATH 260.

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

Boundary Value Problems and Partial Differential Equations
3.0 Fall

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. (005540)

Special Topics in Mathematics
1.0-3.0 Fa/Spr

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. (005559)

Special Problems
1.0-3.0 Fa/Spr

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 only. (005560)

Advanced Calculus
3.0 Fa/Spr

Prerequisites: ENGL 130 (or its equivalent) with a grade of C- or higher, 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. This is a writing proficiency, WP, course; a grade of C- or better certifies writing proficiency for majors. (005575)

Advanced Calculus
3.0 Spring

Prerequisites: MATH 420.

Continuation of MATH 420. (005576)

Projective Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

Axiomatic geometry of the projective plane. Duality, collineations, correlations, polarities, and conics. (005564)

Convexity
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

The isoperimetric problem and other extremum problems. Sets of constant width. Linear programming. (005565)

Differential Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

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

Transformational Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

Similarity groups, affine groups, projective groups and their invariants. 3.0 hours discussion. (005567)

Linear Algebra
3.0 Fall

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. (005581)

Topology
3.0 EvnSp

Prerequisites: MATH 220, MATH 330.

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

Math Topics for the Credential
4.0 Fa/Spr

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. 3.0 hours seminar, 3.0 hours supervision. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading only. (005546)

Mathematics and the Teaching of Mathematics
3.0 Fall

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. (020978)

Note: The highlighted is different from what appears in the printed catalog. What is displayed is current and correct.
Modern Algebra
3.0 Spring

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. (005582)

Mathematical Statistics
3.0 Fall

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. (005562)

Applied Statistical Methods II
3.0 EvnSp

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 majors. (005570)

Sampling Methods
3.0 OddSp

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. (005573)

Numerical Analysis
3.0 Inquire

Prerequisites: MATH 220, MATH 235, completion of the computer literacy requirement.

Error analysis; numerical solution of algebraic and transcendental equations; systems of linear and non-linear equations; matrix inversion; matrix eigenvalues and eigenvectors. (005583)

Numerical Analysis
3.0 Spring

Prerequisites: MATH 235, MATH 260 (may be taken concurrently), completion of the computer literacy requirement. MATH 460 is not a prerequisite for MATH 461.

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

Introduction to Complex Variables
3.0 Fall

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. (005577)

Differential Forms
3.0 Inquire

Prerequisites: MATH 220. MATH 260 (or concurrent enrollment) is recommended.

Cartan's exterior calculus in n-dimensional space. Applications to Maxwell's equations, thermodynamics, potential theory, the heat equations, and flux transport. Suitable for engineering, physics, chemistry and mathematics majors. (005536)

Introduction to Chaotic Dynamical Systems
3.0 OddFa

Prerequisites: MATH 260; MATH 235 and MATH 360 are recommended.

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. (005588)

Fourier Transforms and the FFT
3.0 Inquire

Prerequisites: MATH 260.

The Fourier transform and its properties. Inversion, convolution, correlation, Parseval's theorem, band-limited functions, sampling theorem, and uncertainty principles. The discrete Fourier transform using the FFT. Application to rapid convolution, the estimation of Fourier series coefficients, power spectra, and frequency response. (005589)

Game Theory
3.0 Inquire

Prerequisites: MATH 260; MATH 235 is recommended.

Introduction to mathematical models of competition, conflict, and decision-making. Games involving risk and uncertainty will be analyzed using the Minimax Theorem and linear programming. Multi-state games and continuous games will be studied using difference equations and differential forms. (005558)

Calculus of Variations
3.0 EvnFa

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. (005590)

Mathematical Modeling
3.0 Spring

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. (005592)

Honors Reading Course
3.0 Fa/Spr

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. (005595)

Advanced Topics in Mathematics
1.0-3.0 Fa/Spr

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. (005593)

Honors Thesis
3.0 Fa/Spr

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. (005596)

Topics in Mathematics for Secondary Teachers: Analysis
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005599)

Statistical Methods for Graduate Research
3.0 Fall

Prerequisites: MATH 105, MATH 350, MATH 315, or MATH 305 (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. Special fee required; see the Class Schedule. (005597)

Topics in Mathematics for Secondary Teachers: Geometry
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005602)

Topics in Mathematics for Secondary Teachers: Foundations of Mathematics
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005601)

Topics in Mathematics for Secondary Teachers: Number Theory
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005605)

Topics in Mathematics for Secondary Teachers: Discrete Mathematics
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005600)

Topics in Mathematics for Secondary Teachers: History of Mathematics
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005603)

Topics in Mathematics for Secondary Teachers: Modern Algebra
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005598)

Topics in Mathematics for Secondary Teachers: Probability and Statistics
3.0 Inquire

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. You may take this course more than once for a maximum of 6.0 units. (005606)

Topics in Mathematics for Secondary Teachers: Mathematical Modeling
3.0 Inquire

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 secondary school curriculum. These topics and strategies provide a basis for the reflective analysis and deepening knowledge of mathematical modeling. You may take this course more than once for a maximum of 6.0 units. (005604)

Research Methods in Mathematics
3.0 Inquire

Prerequisites: MTHE 601 or faculty permission.

The course introduces students to quantitative and qualitative research methods needed to conduct research in mathematics. Following a literature search, students begin designing their own research program, culminating in the completion of a research proposal. (020475)

Independent Study
1.0-3.0 Fa/Spr

This course is a graduate-level independent study 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. (005616)

Graduate Advanced Topics in Mathematics
1.0-3.0 Fa/Spr

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. (005615)

Master's Project
1.0-3.0 Fa/Spr

This course is offered for 1.0-6.0 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. (005622)

Master's Thesis
1.0-3.0 Fa/Spr

This course is offered for 1.0-6.0 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. (005620)

Mathematics Education Course Offerings

Research in Mathematics Education
3.0 Summer

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. (005929)

Research Methods in Mathematics Education and Science Education
3.0 Inquire

Prerequisites: MTHE 601, admission to master's degree program in mathematics education or science teaching.

The course introduces students to quantitative and qualitative research methods needed to conduct research in mathematics or science education. In addition to examining the characteristics of various types of research, students will be expected to begin to design their own studies, culminating in the completion of a research proposal. This is a required course in the MA and MS programs in mathematics education. This course is also offered as NSCT 680. (005930)

Thesis/Project Writing Seminar
1.0-3.0 Fa/Spr

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. You may take this course more than once for a maximum of 3.0 units. (005931)