# 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.

MATH | 011 | Intensive Beginning Algebra | 5.0 Fa/Spr |

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. Formerly MATH 001A.

MATH | 012 | Intensive Intermediate Algebra | 5.0 Fa/Spr |

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. Formerly MATH 001B.

MATH | 031 | Beginning Algebra | 5.0 Fa/Spr |

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 enrolledin MATH 031. Satisfactory completion of this course fulfills the prerequisite for enrollment in Intermediate Algebra. 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. Formerly MATH 002A.

MATH | 032 | Accelerated Intermediate Algebra | 5.0 Fa/Spr |

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. 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. Formerly MATH 002B.

MATH | 051 | Intermediate Algebra | 3.0 Fa/Spr |

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. 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. Formerly MATH 003.

MATH | 101 | Patterns of Mathematical Thought | 3.0 Fa/Spr |

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. This is an approved General Education course. Formerly MATH 010. CAN MATH 2.

MATH | 101H | Patterns of Mathematical Thought <197> Honors | 3.0 Fall |

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. This is an approved General Education course. Formerly MATH 010H.

MATH | 105 | Statistics | 3.0 Fa/Spr |

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. Formerly MATH 005. CAN STAT 2.

MATH | 105H | Statistics - Honors | 3.0 Fall |

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. Formerly MATH 005H.

MATH | 107 | Finite Mathematics for Business | 3.0 Fa/Spr |

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. This is an approved General Education course. Formerly MATH 045. CAN MATH12.

MATH | 108 | Statistics of Business and Economics | 3.0 Fa/Spr |

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. Formerly MATH 047.

MATH | 109 | Survey of Calculus | 3.0 Fa/Spr |

This course covers limits, continuity, and differentiation. Polynomial, rational, trigonometric, exponential, and logarithmic functions are included. Applications are chosen from a variety of fields. 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. Formerly MATH 009. CAN MATH30.

MATH | 110 | Concepts and Structures of Mathematics | 3.0 Fa/Spr |

Structure of the real number system, operations on real numbers, number theory. Not acceptable for a mathematics major or minor. Formerly MATH 050A.

MATH | 111 | Concepts and Structures of Mathematics | 3.0 Fa/Spr |

Problem-solving, probability and statistics, measurement and the metric system, geometry. Not acceptable for a mathematics major or minor. Formerly MATH 050B.

MATH | 115 | MathLinks Seminar, Primary | 1.0 Fa/Spr |

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. Credit/no credit grading only. Formerly MATH 051A.

MATH | 116 | MathLinks Seminar, Intermediate | 1.0 Fa/Spr |

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. Credit/no credit grading only. Formerly MATH 051B.

MATH | 118 | Trigonometry | 3.0 Fa/Spr |

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. Formerly MATH 004. CAN MATH 8.

MATH | 119 | Precalculus Mathematics | 4.0 Fa/Spr |

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. Formerly MATH 006. CAN MATH16.

MATH | 119X | Precalculus Problem Session | 1.0 Fa/Spr |

Designed to supplement MATH 119 with additional applications. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. Credit/no credit grading only. Formerly MATH 006X.

MATH | 120 | Analytic Geometry and Calculus | 4.0 Fa/Spr |

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. Formerly MATH 007A. CAN MATH18.

MATH | 120X | Calculus Problem Session | 1.0 Fa/Spr |

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. Credit/no credit grading only. Formerly MATH 007X.

MATH | 121 | Analytic Geometry and Calculus | 4.0 Fa/Spr |

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. Formerly MATH 007B. CAN MATH20.

MATH | 121X | Calculus Problem Session | 1.0 Fa/Spr |

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. Credit/no credit grading only. Formerly MATH 007Y.

MATH | 150 | Introduction to SAS | 3.0 Spring |

An introduction to the basic SAS software, IML (interactive matrix language), data management, some SAS statistical procedures (PROCS) and graphing software. This course emphasizes learning the SAS system through projects and computer lab exercises involving data collection and computer simulation. This course satisfies the computer literacy requirement for mathematics majors. Formerly MATH 095.

MATH | 198 | Special Topics | 1.0-4.0 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. Formerly MATH 098.

MATH | 220 | Analytic Geometry and Calculus | 4.0 Fa/Spr |

Vector functions and space curves. Functions of several variables, partial derivatives, and multiple integrals. Vector calculus <197> line integrals, surface integrals, divergence/curl, Green's Theorem, Divergence Theorem, and Stokes' Theorem. Formerly MATH 007C. CAN MATH22.

MATH | 230 | An Introduction to Computer Algebra Systems - Mathematica | 3.0 Fall |

An introduction to Mathematica -- a high-level mathematical programming environment with built-in symbolic, graphical, and numerical capabilities -- emphasizing problem solving and functional programming. This course satisfies the computer literacy requirement for mathematics majors. Formerly MATH 065.

MATH | 260 | Elementary Differential Equations | 4.0 Fa/Spr |

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. Formerly MATH 007D. CAN MATH24.

MATH | 302 | Science and Strategy in War and Peace | 3.0 Spring |

The study of the scientific and strategic principles underlying war and peace in the 21^{st} century. Concepts from the physical sciences. The strategic theories of Sun Tzu and Clausewitz. Warfare in the 20^{th} century, especially the development and effects of nuclear weapons. The world after Sep. 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. Formerly MATH 152.

MATH | 304 | Statistical Tests for Inequalities | 3.0 Fa/Spr |

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. Formerly MATH 155.

MATH | 305 | Conceptual and Practical Statistics | 3.0 Fa/Spr |

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. Formerly MATH 103.

MATH | 310 | Patterns and Structures in Mathematics | 3.0 Fa/Spr |

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. Special fee required; see *The Class Schedule*. Formerly MATH 112.

MATH | 311 | Intuitive Foundations of Geometry | 3.0 Fa/Spr |

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. Formerly MATH 113.

MATH | 314 | Probability and Statistics for Science and Technology | 4.0 Fa/Spr |

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. Formerly MATH 104.

MATH | 315 | Biometrics | 3.0 Fall |

Interpretation of biomedical data, elementary probability and its application to the biological sciences, and statistical inference in the biomedical fields. This course may not be counted toward either a mathematics major or upper-division units of a minor. Intended for students in the biological sciences and health-related fields. Formerly MATH 215.

MATH | 317 | Discrete Mathematical Structures | 3.0 Fa/Spr |

A formal introduction to discrete structures which are relevant to mathematics and computer science. Structures studied include sets, cosets, graphs, trees, groups, vector spaces, fields, lattices, and Boolean algebras. Properties of these structures will be developed using methods such as logical deduction, induction, recursion, and combinatorial computing. Applications include program structures, data structures, network optimization, decision trees, tree searches, binary codes, automata, and the algebra of switching. Formerly MATH 120.

MATH | 330 | Methods of Proof | 3.0 Fa/Spr |

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. Formerly MATH 100.

MATH | 333 | History of Mathematics | 3.0 Spring |

Study of the historical development of mathematics, with particular emphasis on the relationship between mathematics and society. Formerly MATH 102.

MATH | 335 | Elementary Linear Algebra | 3.0 Fa/Spr |

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 135.

MATH | 337 | Introduction to the Theory of Numbers | 3.0 Fall |

Basic properties of the integers, division algorithm, fundamental theorem of arithmetic, number-theoretic functions, Diophantine equations, congruences, quadratic residues, continued fractions. Formerly MATH 250.

MATH | 341 | Mathematical Topics for the Credential | 3.0 Fall |

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. Special fee required; see *The Class Schedule*. Formerly MATH 114A.

MATH | 342 | Math Topics for the Credential | 3.0 Spring |

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. Formerly MATH 114B.

MATH | 344 | Combinatorial Mathematics and Graph Theory | 3.0 Fall |

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. Formerly MATH 266.

MATH | 346 | College Geometry | 3.0 Spring |

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. Formerly MATH 201.

MATH | 350 | Introduction to Probability and Statistics | 3.0 Fall |

Basic concepts of probability theory, random variables and their distributions, limit theorems, sampling theory, topics in statistical inference, regression, and correlation. Formerly MATH 105A.

MATH | 351 | Introduction to Probability and Statistics | 3.0 Spring |

Continuation of MATH 350. Formerly MATH 105B.

MATH | 355 | Applied Probability | 3.0 OddSp |

Markov chains, birth and death processes, steady-state queuing theory, more general Markov processes, Chapman-Kolmogorov equations, simulation (Monte-Carlo), stochastic networks (PERT), applications to reliability, replacement, and inventory control. Formerly MATH 255.

MATH | 356 | Experimental Design I | 3.0 Fall |

The analysis of variance applied to fixed, random, and mixed models. Use of linear statistical models and regression in data analysis. Appropriate for mathematics and computer science majors and for graduate students in the biological, health, and agricultural sciences. Formerly MATH 216.

MATH | 360 | Ordinary Differential Equations | 3.0 OddFa |

Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods. Formerly MATH 109.

MATH | 361 | Boundary Value Problems and Partial Differential Equations | 3.0 Spring |

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. Formerly MATH 110.

MATH | 398 | Special 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. Formerly MATH 198.

MATH | 399 | 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 adviser and department chair. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading only. Formerly MATH 199.

MATH | 420 | Advanced Calculus | 3.0 Fa/Spr |

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. Formerly MATH 228A.

MATH | 421 | Advanced Calculus | 3.0 Spring |

Continuation of MATH 420. Formerly MATH 228B.

MATH | 426 | Projective Geometry | 3.0 Inquire |

Axiomatic geometry of the projective plane. Duality, collineations, correlations, polarities, and conics. Formerly MATH 214B.

MATH | 427 | Convexity | 3.0 Inquire |

The isoperimetric problem and other extremum problems. Sets of constant width. Linear programming. Formerly MATH 214C.

MATH | 428 | Differential Geometry | 3.0 Fall |

The geometry of curves and surfaces in Euclidean 3-space. Formerly MATH 214D.

MATH | 429 | Transformational Geometry | 3.0 Inquire |

Similarity groups, affine groups, projective groups and their invariants. Formerly MATH 214E.

MATH | 435 | Linear Algebra | 3.0 Fall |

Vector spaces, linear operators, bilinear forms and scalar products, unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form. Formerly MATH 235.

MATH | 437 | Topology | 3.0 EvenSp |

Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness. Formerly MATH 270.

MATH | 441 | Math Topics for the Credential | 4.0 Fa/Spr |

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. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading only. Formerly MATH 114C.

MATH | 449 | Modern Algebra | 3.0 Fa/Spr |

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. Formerly MATH 237.

MATH | 450 | Mathematical Statistics | 3.0 Fall |

A rigorous theoretical treatment of the following topics: transformations of random variables, estimation, Neyman-Pearson hypothesis testing, likelihood ratio tests, and Bayesian statistics. Formerly MATH 205.

MATH | 456 | Experimental Design II | 3.0 EvenSp |

Advanced topics such as blocking, Latin squares, confounding, multiple regression, and the analysis of covariance. The general linear model. No credit for mathematics majors, except for the Option in Statistics. Formerly MATH 225A.

MATH | 457 | Multiple Regression | 3.0 EvenSp |

The theory and application of multiple regression methods with simple linear regression as a special case. Appropriate for mathematics, computer science, engineering, psychology, social science, agriculture, biology, and other majors. Formerly MATH 225B.

MATH | 458 | Sampling Methods | 3.0 EvenSp |

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. Formerly MATH 225C.

MATH | 460 | Numerical Analysis | 3.0 EvenSp |

Error analysis; numerical solution of algebraic and transcendental equations; systems of linear and non-linear equations; matrix inversion; interpolation and extrapolation. Formerly MATH 241A.

MATH | 461 | Numerical Analysis | 3.0 OddSp |

Approximation; numerical integration; numerical solution of ordinary and partial differential equations; matrix eigenvalues and eigenvectors. Formerly MATH 241B.

MATH | 465 | Introduction to Complex Variables | 3.0 Fall |

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. Formerly MATH 230.

MATH | 470 | Differential Forms | 3.0 Fall |

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. Formerly MATH 208.

MATH | 472 | Introduction to Chaotic Dynamical Systems | 3.0 EvenSp |

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. Formerly MATH 260A.

MATH | 473 | Fourier Transforms and the FFT | 3.0 Inquire |

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. Formerly MATH 260B.

MATH | 474 | Game Theory | 3.0 OddSp |

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. Formerly MATH 260C.

MATH | 475 | Calculus of Variations | 3.0 OddFa |

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. Formerly MATH 260D.

MATH | 480 | Mathematical Modeling | 3.0 OddSp |

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. Formerly MATH 280.

MATH | 495H | Honors Reading Course | 3.0 Fa/Spr |

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. Formerly MATH 299H.

MATH | 498 | 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. Formerly MATH 298.

MATH | 499H | Honors Thesis | 3.0 Fa/Spr |

Preparation of written thesis in mathematics under supervision of Honors thesis adviser. 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 adviser. 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. Formerly MATH 299I.

MATH | 610 | Topics in Mathematics for Secondary Teachers: Analysis | 3.0 Inquire |

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. Formerly MATH 320B.

MATH | 615 | Statistical Methods for Graduate Research | 3.0 OddSp |

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. Formerly MATH 315.

MATH | 620 | Topics in Mathematics for Secondary Teachers: Geometry | 3.0 Inquire |

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. Formerly MATH 320E.

MATH | 630 | Topics in Mathematics for Secondary Teachers: Foundations of Mathematics | 3.0 Inquire |

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. Formerly MATH 320D.

MATH | 633 | Topics in Mathematics for Secondary Teachers: Number Theory | 3.0 Inquire |

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. Formerly MATH 320H.

MATH | 635 | Topics in Mathematics for Secondary Teachers: Discrete Mathematics | 3.0 Inquire |

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. Formerly MATH 320C.

MATH | 637 | Topics in Mathematics for Secondary Teachers: History of Mathematics | 3.0 Inquire |

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. Formerly MATH 320F.

MATH | 640 | Topics in Mathematics for Secondary Teachers: Modern Algebra | 3.0 Inquire |

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. Formerly MATH 320A.

MATH | 650 | Topics in Mathematics for Secondary Teachers: Probability and Statistics | 3.0 Inquire |

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. Formerly MATH 320I.

MATH | 660 | Topics in Mathematics for Secondary Teachers: Mathematical Modeling | 3.0 Inquire |

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. You may take this course more than once for a maximum of 6.0 units. Formerly MATH 320G.

MATH | 697 | 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. Formerly MATH 398.

MATH | 698 | 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. You may take this course more than once for a maximum of 3.0 units. Formerly MATH 397.

MATH | 699P | 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. Formerly MATH 399P.

MATH | 699T | 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. Formerly MATH 399.

# Mathematics Education Course Offerings

MTHE | 601 | Research in Mathematics Education | 3.0 Summer |

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. Formerly MTHE 301.

MTHE | 680 | Research Methods in Mathematics Education and Science Education | 3.0 Inquire |

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. Formerly MTHE 380.

MTHE | 690 | Thesis/Project Writing Seminar | 1.0-3.0 Fa/Spr |

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 couse in the MA and MS programs in mathematics education. You may take this course more than once for a maximum of 3.0 units. Formerly MTHE 390.