# 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

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.

MATH 012
Intensive Intermediate Algebra
5.0 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.

MATH 031
Beginning Algebra
5.0 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.

MATH 032
Accelerated Intermediate Algebra
5.0 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.

MATH 051
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.

MATH 101
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. This is an approved General Education course. CAN MATH 2.

MATH 101H
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. This is an approved General Education course.

MATH 105
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. This is an approved General Education course. CAN STAT 2.

MATH 105H
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.

MATH 107
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. This is an approved General Education course. CAN MATH12.

MATH 108
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. MATH 108 and BADM 103 are equivalent courses and each may be substituted for the other.

MATH 109
Survey of Calculus
3.0 Fa/Spr

Prerequisites: Completion of ELM requirement. This course is not intended for majors in mathematics, physics, chemistry, or engineering.

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. CAN MATH30.

MATH 110
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.

MATH 111
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.

MATH 115
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.

MATH 116
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.

MATH 118
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. CAN MATH 8.

MATH 119
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. CAN MATH16.

MATH 119X
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.

MATH 120
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. CAN MATH18.

MATH 120X
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.

MATH 121
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. CAN MATH20.

MATH 121X
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.

MATH 150
Introduction to SAS
3.0 Spring

Prerequisites: MATH 105, faculty permission.

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.

MATH 198
Special Topics
1.0–4.0 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.

MATH 220
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. CAN MATH22.

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

Prerequisites: MATH 121.

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.

MATH 260
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. CAN MATH24.

MATH 260X
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.

MATH 302
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.

MATH 304
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.

MATH 305
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.

MATH 310
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.

MATH 311
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.

MATH 314
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.

MATH 315
Biometrics
3.0 Fall

Prerequisites: Completion of ELM requirement.

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.

MATH 317
Discrete Mathematical Structures
3.0 Fall

Prerequisites: MATH 120.

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.

MATH 330
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.

MATH 333
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.

MATH 335
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.

MATH 337
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.

MATH 341
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.

MATH 342
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.

MATH 344
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.

MATH 346
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.

MATH 350
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.

MATH 351
Introduction to Probability and Statistics
3.0 Spring

Prerequisites: MATH 350.

Continuation of MATH 350.

MATH 355
Applied Probability
3.0 OddSp

Prerequisites: MATH 220, MATH 350.

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.

MATH 356
Experimental Design I
3.0 Fall

Prerequisites: MATH 105 or MATH 350 or MATH 315.

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.

MATH 360
Ordinary Differential Equations
3.0 Fall

Prerequisites: MATH 260.

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

MATH 361
Boundary Value Problems and Partial Differential Equations
3.0 Spring

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.

MATH 398
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.

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 advisor and department chair. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading only.

MATH 420
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.

MATH 421
Advanced Calculus
3.0 Spring

Prerequisites: MATH 420.

Continuation of MATH 420.

MATH 426
Projective Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

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

MATH 427
Convexity
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

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

MATH 428
Differential Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

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

MATH 429
Transformational Geometry
3.0 Inquire

Prerequisites: MATH 220, MATH 330.

Similarity groups, affine groups, projective groups and their invariants.

MATH 435
Linear Algebra
3.0 Fall

Prerequisites: MATH 220, MATH 330, MATH 335.

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

MATH 437
Topology
3.0 EvnSp

Prerequisites: MATH 220, MATH 330.

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

MATH 441
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.

MATH 449
Modern Algebra
3.0 Spring

Prerequisites: MATH 220, MATH 330, MATH 335.

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.

MATH 450
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.

MATH 456
Experimental Design II
3.0 EvnSp

Prerequisites: MATH 356.

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.

MATH 457
Multiple Regression
3.0 EvnSp

Prerequisites: MATH 350 (or MATH 105 with faculty permission), MATH 335, MATH 150 (may be taken concurrently).

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.

MATH 458
Sampling Methods
3.0 EvnSp

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.

MATH 460
Numerical Analysis
3.0 EvnSp

Prerequisites: MATH 220, MATH 335, 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.

MATH 461
Numerical Analysis
3.0 OddSp

Prerequisites: MATH 260 (may be taken concurrently), MATH 335, 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.

MATH 465
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.

MATH 470
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.

MATH 472
Introduction to Chaotic Dynamical Systems
3.0 EvnSp

Prerequisites: MATH 260; MATH 360 and MATH 335 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.

MATH 473
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.

MATH 474
Game Theory
3.0 OddSp

Prerequisites: MATH 260; MATH 335 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.

MATH 475
Calculus of Variations
3.0 OddFa

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.

MATH 480
Mathematical Modeling
3.0 OddSp

Prerequisites: MATH 260, MATH 335.

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.

MATH 495H
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.

MATH 498
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.

MATH 499H
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.

MATH 610
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.

MATH 615
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.

MATH 620
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.

MATH 630
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.

MATH 633
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.

MATH 635
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.

MATH 637
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.

MATH 640
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.

MATH 650
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.

MATH 660
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 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.

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.

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.

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.

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.

# Mathematics Education Course Offerings

MTHE 601
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.

MTHE 680
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.

MTHE 690
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 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.