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 001A

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 001B or MATH 003). 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 unit requirements.

MATH 001B

Intensive Intermediate Algebra 5.0 Fa/Spr

Prerequisites: Credit in MATH 001A, 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 unit requirements.

MATH 002A

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 002B, which meets at the same time; students who do not pass will remain enrolledin MATH 002A. 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 unit requirements.

MATH 002B

Accelerated Intermediate Algebra 5.0 Fa/Spr

Prerequisites: Successful completion of MDTP exam given in MATH 002A.

This course is open only to students enrolled in MATH 002A (or in MATH 001A 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 002B. The content of this course is identical with that of MATH 003. 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 unit requirements.

MATH 003

Intermediate Algebra 3.0 Fa/Spr

Prerequisites: Credit in MATH 001A or credit in MATH 002A, 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. 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 unit requirements.

MATH 004

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 005

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 005H

Statistics-Honors 3.0 Fall

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

A special section of MATH 005 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 006

Precalculus Mathematics 4.0 Fa/Spr

Prerequisites: Completion of ELM requirement, and either 1/2 year of high school trigonometry or MATH 004.

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 MATH 16.

MATH 006X

Precalculus Problem Session 1.0 Fa/Spr

Prerequisites: Concurrent enrollment in MATH 006, faculty permission.

Designed to supplement MATH 006 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 007A

Analytic Geometry and Calculus 4.0 Fa/Spr

Prerequisites: Completion of ELM requirement; both MATH 004 and MATH 006 (or high school equivalent); a score that meets department guidelines on a department administered calculus readiness exam.

MATH 007ABC content: The derivative, the definite integral, maxima and minima, curve sketching, plane areas, volumes, moments, etc. Transcendental functions, techniques of integration, sequences and series, conics, vectors, curvature of plane curves, polar coordinates. Functions of several variables, vectors and analytic geometry in 3-space, partial derivatives, multiple integrals. Line integrals, independence of path, Green’s theorem, divergence and curl, surface integrals, divergence theorem, Stokes’ Theorem. A grade of C- or higher is required for GE credit. This is an approved General Education course. CAN MATH 18.

MATH 007B

Analytic Geometry and Calculus 4.0 Fa/Spr

Prerequisites: Completion of ELM requirement, MATH 007A with a grade of C- or higher.

A grade of C- or higher is required for GE credit. CAN MATH 20.

MATH 007C

Analytic Geometry and Calculus 4.0 Fa/Spr

Prerequisites: Completion of ELM requirement, MATH 007B with a grade of C- or higher.

A grade of C- or higher is required for GE credit. CAN MATH 22.

MATH 007D

Elementary Differential Equations 4.0 Fa/Spr
and Vector Calculus

Prerequisites: Completion of ELM requirement, MATH 007C with a grade of C- or better.

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. A grade of C- or higher is required for GE credit. CAN MATH 24.

MATH 007X

Calculus Problem Session 1.0 Fa/Spr

Prerequisites: Completion of ELM requirement, concurrent enrollment in MATH 007A, faculty permission.

Designed to supplement MATH 007A 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 007Y

Calculus Problem Session 1.0 Fa/Spr

Prerequisites: Completion of ELM requirement, concurrent enrollment in MATH 007B, faculty permission.

Designed to supplement MATH 007B 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 009

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 007A. A grade of C- or higher is required for GE credit. This is an approved General Education course. CAN MATH 30.

MATH 010

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 010H

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 010 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 045

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 MATH 12.

MATH 047

Statistics of Business and Economics 3.0 Fa/Spr

Prerequisites: For business administration students: MATH 045.
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.

This course is the same as BADM 003 which may be substituted.

MATH 050A

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 050B

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 051A

MathLinks Seminar, Primary 1.0 Fa/Spr

Prerequisites: MATH 050A, concurrent enrollment in MATH 050B, 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 051B

MathLinks Seminar, Intermediate 1.0 Fa/Spr

Prerequisites: MATH 050A, concurrent enrollment in MATH 050B, 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 065

An Introduction to 3.0 Fall
Computer Algebra Systems-Mathematica

Prerequisites: MATH 007B.

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 095

Introduction to SAS 3.0 Spring

Prerequisites: MATH 005, 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 098

Special Topics 1.0-4.0 Fa/Spr

Prerequisites: Completion of ELM requirement.

This course is for special topics offered as 098A-C for 1.0 to 3.0 units respectively. 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 100

Methods of Proof 3.0 Fa/Spr

Prerequisites: MATH 007B.

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 102

History of Mathematics 3.0 Spring

Prerequisites: MATH 007C; at least one upper-division mathematics course.
MATH 100 is recommended.

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

MATH 103

Conceptual and Practical Statistics 3.0 Fa/Spr

Prerequisites: MATH 007A or MATH 009 (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 104

Probability and Statistics for 4.0 Fa/Spr
Science and Technology

Prerequisites: MATH 007B.

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 105A and MATH 104.

MATH 105A

Introduction to Probability and Statistics 3.0 Fall

Prerequisites: MATH 007B.

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

MATH 105B

Introduction to Probability and Statistics 3.0 Spring

Prerequisites: MATH 105A.

Continuation of MATH 105A.

MATH 109

Ordinary Differential Equations 3.0 OddFall

Prerequisites: MATH 007D.

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

MATH 110

Boundary Value Problems and 3.0 Spring
Partial Differential Equations

Prerequisites: MATH 007D.

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 112

Patterns and Structures in Mathematics 3.0 Fa/Spr

Prerequisites: MATH 050A, MATH 050B.

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.

MATH 113

Intuitive Foundations of Geometry 3.0 Fa/Spr

Prerequisites: MATH 050A, MATH 050B.

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 114A

Mathematical Topics for the Credential 3.0 Fall

Prerequisites: MATH 007B.

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.

MATH 114B

Math Topics for the Credential 3.0 Spring

Prerequisites: MATH 114A.

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 114C

Math Topics for the Credential 4.0 Fa/Spr

Prerequisites: MATH 114B.
Corequisite: 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. Credit/no credit grading only. You may take this course more than once for a maximum of 8.0 units.

MATH 120

Discrete Mathematical Structures 3.0 Fa/Spr

Prerequisites: MATH 007A.

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 135

Elementary Linear Algebra 3.0 Fa/Spr

Prerequisites: MATH 007B.

Matrices, determinants, cartesian n-space (basis and dimension of a subspace, rank, change of basis), linear transformations, eigenvalues. Numerical problems will be emphasized.

MATH 151

Women in Science and Technology 3.0 Spring

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

An examination of selected significant concepts in mathematics, science, and technology, with particular emphasis on scientific discoveries made by women. The role of women in science and technology will be considered. 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 152

Quantitative Methods of Conflict Resolution 3.0 Spring

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

An introduction to quantitative methods used to wage, analyze, and prevent war, including game theory, linear programming, probability, fuzzy set theory, and computer simulations. 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.

This course is the same as INST 152 which may be substituted.

MATH 153

Patterns of Change and Catastrophe 3.0 Spring

Prerequisites: Completion of General Education Breadth Area A4 requirement.

An introduction to human understanding of change and catastrophe. The scientific method and process of modeling. An introduction to several types of models, including elementary probability models, exponential models, dynamic models, and catastrophe models. Applications to a variety ituations confronting humans. This course cannot be counted toward a mathemtics major or minor. This is an approved General Education course.

MATH 155

Statistical Tests for Inequalities 3.0 Fa/Spr

Prerequisites: Completion of General Education Breadth Area A4 requirement.

Critical statistical analyses of published data to examine actual or perceived social and economic inequality will be conducted. Uses and misuses of statistics, misrepresentation of data, and proper and improper statistical analyses will be discussed. Empirical data centered on controversies in the social sciences and humanities will be interpreted, and statistically testable hypotheses concerning them will be developed. Use will be made of appropriate inferential procedures to test these hypotheses. This course may not be used to fulfill requirements for a major or minor in mathematics. This is an approved General Education course.

MATH 198

Special Topics in Mathematics 1.0-3.0 Fa/Spr

Prerequisites: At least one 100-level mathematics course appropriate to the subject, faculty permission.

This course is for special topics offered as 198A-C for 1.0 to 3.0 units respectively. 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 199

Special Problems 1.0-3.0 Fa/Spr

This course is an independent study of special problems and is offered as 199A-C for 1.0 to 3.0 units respectively. You must register directly with a supervising faculty member. MATH 199A-C cannot be used to fulfill major requirements without prior approval of the adviser and department chair. Credit/no credit grading only.

MATH 201

College Geometry 3.0 Spring

Prerequisites: MATH 007C, MATH 100.

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 205

Mathematical Statistics 3.0 Fall

Prerequisites: MATH 007C, MATH 100, MATH 105B.

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

MATH 208

Differential Forms 3.0 Fall

Prerequisites: MATH 007C. Concurrent enrollment in MATH 007D 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 214B

Projective Geometry 3.0 Inquire

Prerequisites: MATH 007C, MATH 100.

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

MATH 214C

Convexity 3.0 Inquire

Prerequisites: MATH 007C, MATH 100.

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

MATH 214D

Differential Geometry 3.0 Fall

Prerequisites: MATH 007C, MATH 100.

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

MATH 214E

Transformational Geometry 3.0 Inquire

Prerequisites: MATH 007C, MATH 100.

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

MATH 215

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 216

Experimental Design I 3.0 Fall

Prerequisites: MATH 005 or MATH 105A or MATH 215.

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 225A

Experimental Design II 3.0 EvnSprg

Prerequisites: MATH 216.

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 225B

Multiple Regression 3.0 EvnSprg

Prerequisites: MATH 105A (or MATH 005 with faculty permission), MATH 135, MATH 095 (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 225C

Sampling Methods 3.0 EvnSprg

Prerequisites: One course chosen from MATH 005, MATH 103, MATH 105A, or MATH 215.

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 228A

Advanced Calculus 3.0 Fa/Spr

Prerequisites: ENGL 001 (or its equivalent) with a grade of C- or higher, MATH 007C, MATH 100, 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 228B

Advanced Calculus 3.0 Spring

Prerequisites: MATH 228A.

Continuation of MATH 228A.

MATH 230

Introduction to Complex Variables 3.0 Fall

Prerequisites: MATH 007C.

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 235

Linear Algebra 3.0 Fall

Prerequisites: MATH 007C, MATH 100, MATH 135.

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

MATH 237

Modern Algebra 3.0 Fa/Spr

Prerequisites: MATH 007C; MATH 100.

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 241A

Numerical Analysis 3.0 EvnSprg

Prerequisites: MATH 007C, MATH 135, completion of the computer literacy requirement.

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

MATH 241B

Numerical Analysis 3.0 OddSprg

Prerequisites: MATH 007D (may be taken concurrently); MATH 135; completion of the computer literacy requirement. MATH 241A is not a prerequisite for MATH 241B.

Approximation; numerical integration; numerical solution of ordinary and partial differential equations; matrix eigenvalues and eigenvectors.

MATH 250

Introduction to the Theory of Numbers 3.0 Fall

Prerequisites: MATH 007B, MATH 100.

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

MATH 255

Applied Probability 3.0 OddSprg

Prerequisites: MATH 007C, MATH 105A.

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 260A

Introduction to Chaotic Dynamical Systems 3.0 EvnSprg

Prerequisites: MATH 007D, MATH 109 and MATH 135 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 260B

Fourier Transforms and the FFT 3.0 EvnFall

Prerequisites: MATH 007D.

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 260C

Game Theory 3.0 OddSprg

Prerequisites: MATH 007D, MATH 135 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 260D

Calculus of Variations 3.0 OddFall

Prerequisites: MATH 007D, MATH 110 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 266

Combinatorial Mathematics and Graph Theory 3.0 Fall

Prerequisites: MATH 007B, MATH 100.

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 270

Topology 3.0 EvnSprg

Prerequisites: MATH 007C; MATH 100.

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

MATH 280

Mathematical Modeling 3.0 OddSprg

Prerequisites: MATH 007D; MATH 135.

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 298

Advanced Topics in Mathematics 1.0-3.0 Fa/Spr

Prerequisites: At least one 200-level mathematics course appropriate to the subject, faculty permission.

This course is for special topics offered as 298A-C for 1.0 to 3.0 units respectively. 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 Schedulefor the specific topic being offered.

MATH 299H

Honors Reading Course 3.0 Fa/Spr

Prerequisites: Admission to the Department Honors Program, completion of MATH 228A 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 299I

Honors Thesis 3.0 Fa/Spr

Prerequisites: Completion of MATH 299H with a grade of B or higher, and approval by the department Honors adviser and thesis supervisor of the proposed thesis topic.

Preparation of written thesis in mathematics under supervision of Honors thesis adviser. The thesis, based on studies begun in MATH 299H, 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 299H and MATH 299I is one of the requirements for being designated as an Honors graduate in mathematics. Credit/no credit grading only.

MATH 315

Statistical Methods for Graduate Research 3.0 OddSprg

Prerequisites: MATH 005, MATH 105A, MATH 215, or MATH 103 (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 320A

Topics in Mathematics for 3.0 Inquire
Secondary Teachers: Modern Algebra