# 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.**

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

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.

*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.

*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.

*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.

*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.

*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.

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.

*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.

*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.

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

This course provides supplemental mathematics & statistics tutoring.

**Note:**The highlighted is different from what appears in the printed catalog. What is displayed is current and correct.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*Prerequisites: MATH 121.*

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

*Prerequisites: MATH 350.*

Continuation of MATH 350.

*Prerequisites: MATH 260.*

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

*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.

*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.

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.

*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.

*Prerequisites: MATH 420.*

Continuation of MATH 420.

*Prerequisites: MATH 220, MATH 330.*

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

*Prerequisites: MATH 220, MATH 330.*

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

*Prerequisites: MATH 220, MATH 330.*

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

*Prerequisites: MATH 220, MATH 330.*

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

*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.

*Prerequisites: MATH 220, MATH 330.*

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

*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.

*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.

**Note:**The highlighted is different from what appears in the printed catalog. What is displayed is current and correct.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

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.

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.

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.

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

*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.

*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.

*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.