## Courses We Offer

A schedule of courses for each quarter is available from the opening page of the University web site and the final exam schedule for each quarter is found at the Academic Scheduling home page. For convenience we list those links here.

- Schedule of Courses
- Final Exam Schedule (Academic Scheduling)
- Current Upper Divisional Courses Offered

### Lower Division

#### Math 110. College Algebra (FWS)

Functional notation, graphs and inverses of linear, polynomial, and rational functions, rational exponents, arithmetic and geometric progressions, logarithmic and exponential functions, systems of linear equations. Graded A,B,C/no credit. Prerequisite: passing score on the Entry Level Mathematics examination or passage of MATH 90. (GE=B1) (4 units)

#### Math 115. The Ideas of Mathematics (FWS)

Sets and their applications to topics in discrete mathematics that will include enumeration techniques and finite probability spaces. Graded A, B, C/no credit. Prerequisite: passing score on the Entry Level Mathematics examination or passage of MATH 90. (GE=B1) (4 units)

#### Math 120. Pre-Calculus Mathematics (FWS)

Trigonometric functions, trigonometric identities, right angle trigonometry, complex numbers, conic sections, binomial theorem, induction. Graded A, B, C/no credit. Prerequisite: satisfactory score on the Entry Level Mathematics examination or passage of MATH 110. (GE=B1) (4 units)

#### Math 180. Critical Thinking Through Applications of Mathematical Logic (FWS)

Analysis of logical implication, logical equivalence and valid argument using symbolic logic. Applications drawn from a wide variety of practical examples. Emphasis on problem solving techniques. (GE=A4) (4 units)

#### Math 192. Methods of Calculus (FWS)

A short course in calculus with emphasis on applications. Prerequisite: satisfactory score on the Entry Level Mathematics examination, or passage of MATH 110. This course does not substitute for any course in the calculus sequence MATH 211, 212, 213, 251, 252 required for majors in chemistry, computer science, mathematics or physics. (GE=B1) (4 units)

#### Math 199. Technology in Math Education through Problem Solving (WS)

Exploration of central ideas in secondary school mathematics through problem solving using technology. Introduction to the use of three types of software: dynamic geometry, spreadsheet, and computer algebra systems. Materials fee required. Prerequisite: MATH 120 or equivalent (3 units)

#### Math 211. Basic Concepts of Calculus (FWS)

An introduction to limits and continuity, differentiation of functions in one variable (including trigonometric functions) and antiderivatives with applications. Prerequisite: satisfactory score on the Entry Level Mathematics examination or passage of MATH 120. (GE=B1) (4 units)

#### Math 212. Calculus II (FWS)

Techniques and applications of integration, differentiation and integration of transcendental functions. Prerequisite: MATH 211 (or 200) with a grade of "C" or better. (4 units)

#### Math 213. Calculus III (FWS)

Sequences and series, numerical techniques, polar coordinates, parametric equations. Prerequisite: MATH 212 (or 201) with a grade of "C" or better. (4 units)

#### Math 229. Geometry in Two and Three Dimensions (S)

Axiomatic foundations of Euclidean geometry and their relation to absolute, affine, and ordered geometry. Isometry and similarity in the Euclidean plane and three-space. Inversive transformations and construction of the real projective plane. Formerly MATH 129. Prerequisites: completion of the general education requirement in mathematics. (4 units)

#### Math 241. Problem Solving in Calculus (FWS)

An approach to solving calculus-based problems incorporating a computer algebra system. Projects will include interpolation, numerical methods, differential equations and graphical approaches. One hour lecture and three hours laboratory. Prerequisites: some programming experience and MATH 212. Recommended: MATH 213. (2 units)

#### Math 251. Multivariable Calculus I (FWS)

Vectors and vector geometry in two and three dimensions. Elementary linear algebra. Multivariable functions. Parametrization of space curves. Prerequisite: MATH 212 with a grade of "C" or better. (4 units)

#### Math 252. Multivariable Calculus II (FWS)

Differentiation and integration of vector functions with applications, multiple integration, line and surface integrals. Partial and directional derivatives. Theorems of Green and Stokes. Prerequisites: MATH 251, and 213 with a grade of "C" or better. (4 units)

#### Math 262. Applied Statistics (FWS)

Basic concepts of probability and statistics. Important probability models such as the binomial, Poisson and normal. Statistical procedures, particularly in relation to estimation, hypothesis testing and modeling. Computer simulations and computations. May not be taken for credit by students who have received credit for MATH 305. Prerequisite: MATH 120. Prerequisite or corequisite: MATH 211. (4 units)

#### Math 270. Elementary Differential Equations (FS)

First order equations, second order linear equations, linear equations with constant coefficients, variation of parameters, applications. Prerequisite: MATH 252. (4 units)

#### Math 272. Discrete Mathematics (FWS)

Boolean algebra. Computer arithmetic including hexadecimal, octal and binary numeration. Relations and functions. Vectors and matrices. Introduction to graph theory. Prerequisite: completion of the general education requirement in mathematics. (4 units)

### Upper Division

#### Math 301. Fundamental Concepts of Mathematics for Educators (FWS)

A mathematics sequence for future teachers, containing fundamental concepts of number sense, algebra, and geometry. May not be counted toward fulfilling requirements in the mathematics major.

A. Fundamental Concepts of Arithmetic and Geometry. Mathematical reasoning behind the structure and arithmetic of real numbers. Connections between numbers and geometry. Introduction to functions and graphs as a natural extension of arithmetic. May not be taken for credit by students who have completed MATH 301. Prerequisites: completion of MATH 115 and the general education requirements in written communication, oral communication and critical thinking. Graded ABC/no credit. (4 units)

B. Transition from Concrete to Abstract in Algebra and Geometry. Algebra in context, algebraic techniques, proportion. Linear functions and their graphs. Angle, shape, size, polygons, and circles. Congruence and similarity. Graded ABC/no credit. Prerequisites: completion of MATH 301A (or 301), with a course grade of at least "C." (4 units)

C. Further Developments in Algebra and Geometry. The arithmetic and graphs of polynomial and rational functions. Scientific notation, logarithmic and exponential functions. Polygons, tessellations, and transformations. Polyhedra, spheres, cylinders, cones. Transformations in graphs. Graded ABC/no credit. Prerequisite: completion of MATH 301B with a course grade of at least "C." (4 units)

#### Math 302. Problem Solving in Mathematics (FWS)

Use of heuristic techniques, such as analogy and induction, in problem solving. Elementary and recreational problems selected from algebra, logic, number theory, combinatorics and probability. May not be counted toward fulfilling requirements in the mathematics major. Prerequisites: completion of the general education requirements in mathematics, written communication, oral communication and critical thinking. (4 units)

#### Math 303. Geometry in Two and Three Dimensions for Teachers

Geometric figures, constructions and transformations in two and three dimensions. Development of axiomatic geometry and subsequent study of axiomatic systems from a historical perspective; students create proofs in solving geometry problems. Algebraic approach contrasted with Euclidean. Includes hands-on activities, emphasizes connection to disciplines such as art and geography. Teaching methods, integrated throughout, stress transition from concrete to abstract, use of geometric construction tools including computers where appropriate, visualization of transformations and their application in problem solving as well as assessment of student work. (6 units)

#### Math 304. Algebra for Teachers

Polynomials and rational functions, analogy between arithmetic and algebra. Linear, quadratic, and rational equations and inequalities and their graphs; rational exponents, geometric series, exponential functions and their graphs. Algebra presented more as a way of thinking than as a collection of algorithms. Emphasis on solution of verbally stated problems. Teaching methods, integrated throughout, focus on transition from concrete to abstract, pattern recognition and discovery, appropriate use of calculators and computers, and assessment of student work. Prerequisite: B.A. or B.S. degree from an accredited institution. (6 units)

#### Math 305. Statistics: Hypothesis Testing and Estimation (FWS)

After a brief introduction to descriptive statistics, course will emphasize hypothesis testing and estimation, using packaged computer programs. May not be taken for credit by students who have received credit for MATH 262. Prerequisite: completion of the general education requirement in mathematics or equivalent preparation. (4 units)

#### Math 306. Mathematics, the Language of Science

Introduction to basic calculus with emphasis on its role in the development of the life and physical sciences. Applications include rates of change, growth and velocity. Prerequisites: MATH 120 and at least one four unit college level course in both physics and biology. (4 units)

#### Math 307. Mathematics in Science

Differential equations applied to scientific questions of motion, growth and decay, and populations, including an overview of statistics and data analysis. Prerequisite: a minimum of one quarter of calculus (MATH 192, 211, 306 or equivalent). (4 units)

#### Math 308. Problem Solving Through Theory and Practice (FWS)

Heuristic techniques in solving contextual problems from algebra, number theory, geometry, logic, probability and statistics. May not be counted toward fulfilling requirements in the mathematics major. May not be taken for credit by students who have completed MATH 302. Two hours seminar. Prerequisite: MATH 301C with a grade of at least "C" or consent of instructor. (2 units)

#### Math 320. Mathematical Interest Theory (S)

Development of the mathematical theory of interest in both finite and continuous time, including the accumulation function and special cases of simple and compound interest, valuation of the discrete and continuous streams of payments, and nominal and effective interest and discount rates. Application of the theory, with computer applications, to actuarial science, including amortization of lump sums, fixed income securities, and depreciation. Three hours lecture and two hours laboratory. Prerequisites: MATH 213 and 241. (4 units)

#### Math 329. Transformation Geometry

Development of Euclidean plane geometry in terms of congruence and similarity transformations. Classification of affine transformations with applications to classical theorems. Introduction to inversive transformations and related constructions. Prerequisites: MATH 251 and high school geometry or equivalent. (4 units)

#### Math 331. Linear Algebra (FWS)

Vector spaces over a field, linear dependence, dimension; matrices and systems of linear equations; the theory of linear transformations; characteristic values and vectors; applications. Prerequisite: MATH 251 or consent of instructor. (4 units)

#### Math 345. Number Theory and Proof

Introduction to ideas and techniques of proof and historical topics in classical number theory. Theory of divisibility, primes and linear congruences. Theorems of Fermat, Euler and Wilson. Primitive roots and indices. Number theoretic functions. Prerequisite: MATH 213. (4 units)

#### Math 355. Analysis and Proof (FWS)

Introduction to ideas and techniques of proof with an emphasis on analysis. Topics chosen from: logic, set theory, functions, cardinality and analysis. Prerequisite: MATH 213. (4 units)

#### Math 372. Combinatorics (FWS)

Permutations and combinations, recurrence relations with applications and topics in graph theory. Prerequisite: MATH 213; or MATH 211, 262 and 272. (4 units)

#### Math 395. Directed Study

Reading and library research in mathematics conducted under the direction of a faculty member. A total of four units may apply toward the major. Prerequisites: consent of instructor and departmental approval of a written proposal of a project submitted on a standard application filed in advance of the quarter in which the course is to be taken. (1-4 units)

#### Math 399. Service Learning Experience in Mathematics (FW)

Supervised learning experience in the secondary mathematics classroom. Observation and participation that provides future teachers with first-hand experience and the opportunity to link their undergraduate mathematics course work with classroom experience. Includes weekly meetings on campus (one hour per week) and observation in a secondary classroom (20 hours). Graded A, B, C/no credit. Prerequisite: MATH 329. (2 units)

#### Math 411. Introduction to Mathematical Logic (S)

Propositional and quantificational logic, completeness and consistency results, formal systems, Peano arithmetic, recursive functions, Godel's incompleteness theorem. Prerequisite: MATH 345. (4 units)

#### Math 455. Fourier Analysis

Fourier series and the Fourier transform. Convergence properties and orthogonality. Applications to differential equations. Prerequisites: MATH 270 and 355. (4 units)

#### Math 465. Probability Theory (FWS)

Probability spaces, independence, conditional probability, densities, mass and distribution functions, moments, joint and marginal distributions, moment generating functions, Chebychev's inequality, law of large numbers and other topics. Prerequisites: MATH 252 and 372. (4 units)

#### Math 470. Ordinary Differential Equations

Topics from among: first order equations, linear equations, systems of equations, iterative methods, series solutions, Laplace transformations, applications. Prerequisites: MATH 270 and 331. (4 units)

#### Math 474. Numerical Methods

Introduction to numerical methods for finding solutions of non-linear equations, systems of linear equations and ordinary differential equations. Discussion of errors and numerical instabilities; numerical differentiation; numerical integration. Prerequisites: CSCI 201 and MATH 331. (4 units)

#### Math 480. Topics in History of Mathematics (FWS)

Exploration of the historical and topical development of interconnected areas of mathematics, such as algebra, geometry and analysis. Discussion of the influence of culture and society on the development of mathematical ideas and discovery will be included. Prerequisites: MATH 252, 329, 345 and 355. (4 units)

#### Math 499. Mathematics in the Secondary Classroom (WS)

Instruction in the methods and materials for teaching mathematics in the secondary classroom, with emphasis on algebra and geometry. Each student will complete and present a project relating advanced mathematics to the high school curriculum that implements ideas and strategies presented in this course. May not be counted toward fulfilling requirements of the B.A. (Non-Teaching Track), B.S., M.A. or M.A. in Teaching, Mathematics. Prerequisites: MATH 329, 331 and 399. (4 units)

#### Math 510. Topics in Mathematics

Study of selected areas of advanced mathematics. May be repeated for credit with consent of instructor as topics change. Prerequisite: senior or graduate standing. (4 units)

#### Math 529. Advanced Geometry (FWS)

Topics in affine and projective geometry with applications to Euclidean 2 and 3 space and to modern algebra. Prerequisites: MATH 329, 331 and 345. (4 units)

#### Math 531. Advanced Linear Algebra

Inner product spaces; duality of vector spaces; canonical forms; spectral theory; quadratic forms. Formerly a topic under MATH 510. Prerequisite: MATH 331. (4 units)

#### Math 545. Abstract Algebra I (FWS)

An introduction to algebraic structures, including groups, rings and fields. Prerequisites: MATH 331, 345 and 355. (4 units)

#### Math 546. Abstract Algebra II (S)

Continuation of MATH 545. Prerequisite: MATH 545. (4 units)

#### Math 553. Analysis I (FWS)

Continuous and differentiable functions, infinite series. Uniform convergence, computation with series, functions represented by integrals, theory of integration. Prerequisites: MATH 252 and 355. (4 units)

#### Math 554. Analysis II (S)

Continuation of MATH 553. Prerequisite: MATH 553. (4 units)

#### Math 555. Introduction to Point-Set Topology

Topics to include topological and metric spaces, compactness, product spaces, connectedness, separation properties. Prerequisite: MATH 355. (4 units)

#### Math 557. Complex Variables

Analytic and harmonic functions, power series, Cauchy's Theorem and Cauchy's Formula. Prerequisites: MATH 252 and 355. (4 units)

#### Math 565. Mathematical Statistics

Likelihood ratio, estimators, distributions of estimators, theory of hypothesis testing, linear statistical models. Prerequisite: MATH 465. (4 units)

#### Math 570. Partial Differential Equations

Classification of partial differential equations; heat equation, Laplace's equation, boundary value-problems; separation of variables. Applications of Fourier and Laplace transforms, numerical methods. Prerequisite: MATH 270 and 355. MATH 241 recommended. (4 units)

#### Math 576. Introduction to Mathematical Models

Topics from linear and probabilistic models, computer simulation, difference and differential equation models. Prerequisites: CSCI 201, MATH 331 and 465. (4 units)

#### Math 595. Independent Study

An independent study course for senior mathematics majors. A total of four units may apply toward the major. Prerequisites: MATH 331 and 553, a minimum overall grade point average of 3.0, consent of instructor and departmental approval of a written proposal of a project submitted in advance of the quarter in which the course is to be taken. (1-4 units)

#### Math 599. Senior Seminar for Future Mathematics Educators (FS)

Summative assessment of subject matter competence for prospective mathematics teachers. Each student will complete and present a project relating advanced mathematics to the high school curriculum, and complete and submit a portfolio of their undergraduate work in mathematics for assessment. Meets four hours per week during the first week and the last four weeks of the quarter. Graded A,B,C/no credit. Prerequisites: MATH 199, 480 and 499. (2 units)

### Masters

#### MATH 601. Assessment Portfolio. (0 Units.)

Prerequisites: advancement to candidacy

Preparation of an acceptable student portfolio assessing and documenting academic progress. For detailed requirements see the MAT graduate coordinator.

MATH 604. Seminar in Problem Solving I. (4 Units.)

Prerequisites: MATH 329, MATH 331, MATH 345, MATH 355 and MATH 372

A problem solving seminar emphasizing induction and analogy in the style of George Polya.

#### MATH 605. Seminar in Problem Solving II. (4 Units.)

Prerequisites: MATH 604

Continuation of MATH 604.

#### MATH 610. Topics in Mathematics. (4 Units.)

Prerequisites: graduate standing

Study of selected areas of advanced mathematics to be determined by the instructor. May be repeated for credit with consent of instructor as topics change.

#### MATH 611. Operations Analysis. (4 Units.)

Scientific approach to the resolution of operational problems. Structure and function of models and decision strategy commonly used in national policy analysis including measures of effectiveness, uncertainty and the misuse of modeling. May not be counted toward fulfilling the requirements in the mathematics major.

#### MATH 614. Studies in Geometry. (4 Units.)

Prerequisites: MATH 529, MATH 545 and admission to the M.A. in Mathematics program

Advanced topics in affine, projective, elliptic, and hyperbolic geometry. Comparison of synthetic and analytic methods of proof.

#### MATH 616. Studies in Algebra. (4 Units.)

Prerequisites: MATH 546 and admission to the M.A. in Mathematics program

Advanced topics in algebra to include constructability, transcendence and solvability of groups and equations.

#### MATH 618. Studies in Analysis. (4 Units.)

Prerequisites: MATH 553; either MATH 554, MATH 555, or MATH 557; and admission to the M.A. in Mathematics program

Theory of multivariable calculus with applications, to include the Inverse Function Theorem, as well as Stokes and Greens theorems.

#### MATH 631. Algebra from a Teaching and Problem Solving Perspective. (6 Units.)

Prerequisites: admission to the MAT in Mathematics program and MATH 345, or consent of instructor

Algebraic structure and its development. Equations and systems of equations. Teaching strategies and curriculum issues. Applications and problem solving will be stressed throughout. Students will adapt methods from this course to a teaching setting and report on this experience.

#### MATH 632. Geometry from a Teaching and Problem Solving Perspective. (6 Units.)

Prerequisites: MATH 329 and admission to the MAT in Mathematics program, or consent of instructor

The transition from geometry as an empirical study first to local proofs and then to axiomatic systems. Comparisons of traditional approaches to geometric proof with those of analytic geometry. Focus on construction to illustrate and motivate teaching strategies and curriculum issues. Students will adapt methods from this course to a teaching setting and report on this experience.

#### MATH 633. Trigonometry from a Teaching and Problem Solving Perspective. (6 Units.)

Prerequisites: MATH 213, MATH 251, and admission to the MAT in Mathematics program, or consent of instructor. MATH 631 and MATH 632 are recommended

Trigonometric functions, identities and equations as foundation for study of the complex numbers, the complex plane, polar coordinates, de Moivres theorem, and definition of trigonometric functions in terms of exponential functions. Geometric and analytic properties of the conic sections. Problem solving, curricular and pedagogical issues emphasized throughout. Students will adapt methods from this course to a teaching setting and report on this experience.

#### MATH 634. Calculus from a Teaching and Problem Solving Perspective. (6 Units.)

Prerequisites: MATH 213, 251, and admission to the MAT in Mathematics program, or consent of instructor. MATH 631, 632, and 633 are recommended

Focus on non-standard problems and theoretical issues in calculus that lend themselves to multiple problem-solving approaches and pedagogical strategies. Students will adapt methods from this course to a teaching setting and report on this experience.

#### MATH 635. Statistics and Probability from a Teaching and Problem Solving Perspective. (6 Units.)

Prerequisites: MATH 372 and admission to the MAT in Mathematics program, or consent of instructor. MATH 631, 632, and 633 are recommended

Basic probability and descriptive and inferential statistics emphasizing active learning teaching strategies. Students will design and carry out an investigative project. Students will adapt methods from this course to a teaching setting and report on this experience.

#### MATH 664. Project Design in Teaching Mathematics. (2 Units.)

Prerequisites: advancement to candidacy and consent of instructor

Steps and processes involved in the design and development of research proposals with emphasis on the master's project. Graded credit/no credit.

#### MATH 678. Teaching Practicum. (2 Units.)

Prerequisites: admission to the masters program in teaching with a major in mathematics

Supervised practice in individual and/or classroom teaching. May be repeated for a total of four units.

#### MATH 695B. Graduate Independent Study. (2 Units.)

Prerequisites: advancement to candidacy in the M.A. or M.A.T. in Mathematics program; a grade point average of at least 3.5 in courses in the program; consent of the instructor and approval by the graduate committee. A written proposal for a project must be submitted to the graduate committee no later than the ninth week of the quarter preceding that in which the independent study is to be pursued

An independent study course for graduate students in mathematics.

#### MATH 695C. Graduate Independent Study. (3 Units.)

Prerequisites: advancement to candidacy in the M.A. or M.A.T. in Mathematics program; a grade point average of at least 3.5 in courses in the program; consent of the instructor and approval by the graduate committee. A written proposal for a project must be submitted to the graduate committee no later than the ninth week of the quarter preceding that in which the independent study is to be pursued

An independent study course for graduate students in mathematics.

#### MATH 695D. Graduate Independent Study. (4 Units.)

Prerequisites: advancement to candidacy in the M.A. or M.A.T. in Mathematics program; a grade point average of at least 3.5 in courses in the program; consent of the instructor and approval by the graduate committee. A written proposal for a project must be submitted to the graduate committee no later than the ninth week of the quarter preceding that in which the independent study is to be pursued

An independent study course for graduate students in mathematics.

#### MATH 696. Masters Degree Project I. (3 Units.)

Prerequisites: graduate standing, consent of instructor, approval of the project proposal by the graduate committee and approval of at least five contributions to the assessment portfolio of the seven listed under 6b and 6c in the requirements for graduation

Dissertation preparation and assessment portfolio completion. A written proposal for a project must be submitted to the graduate committee no later than the ninth week of the quarter preceding enrollment in MATH 696.

#### MATH 697. Masters Degree Project II. (1 Unit.)

Prerequisites: MATH 696 and consent of instructor

Finalizing the masters project including approval of the dissertation format by the Office of Graduate Studies, an oral presentation of the project to the department, and formal acceptance of the completed dissertation.

#### MATH 698A. Continuous Enrollment for Graduate Candidacy Standing. (1 Unit.)

Prerequisites: advancement to candidacy and approval of program graduate coordinator or, if an interdisciplinary studies major, consent of the Dean of Graduate Studies

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 698B. Continuous Enrollment for Graduate Candidacy Standing. (2 Units.)

Prerequisites: advancement to candidacy and approval of program graduate coordinator or, if an interdisciplinary studies major, consent of the Dean of Graduate Studies

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 698C. Continuous Enrollment for Graduate Candidacy Standing. (3 Units.)

Prerequisites: advancement to candidacy and approval of program graduate coordinator or, if an interdisciplinary studies major, consent of the Dean of Graduate Studies

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

MATH 698D. Continuous Enrollment for Graduate Candidacy Standing. (4 Units.)

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 698E. Continuous Enrollment for Graduate Candidacy Standing. (5 Units.)

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 698F. Continuous Enrollment for Graduate Candidacy Standing. (6 Units.)

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 698Z. Continuous Enrollment for Graduate Candidacy Standing. (0 Units.)

Independent study leading to completion of requirements (other than course work) for the master's degree. To retain classified standing in the master's program, a student must enroll in 698 each quarter until the project or thesis is accepted or the comprehensive examination passed. Students who enroll in 698 through the university have full use of all university facilities. See Culminating Experience: Exam, Thesis, or Project in Graduate Degree and Program Requirements section of the Bulletin of Courses. 698 is a variable unit course, see fee schedule in the Financial Information section of the Bulletin of Courses. Earned units are not degree-applicable nor will they qualify for financial aid.

#### MATH 699. Master of Arts in Teaching Mathematics Thesis. (4 Units.)

Prerequisites: graduate standing, consent of the instructor, approval of the thesis proposal by the graduate committee and submission of at least three contributions to the Assessment Portfolio. A written proposal for a thesis following departmental guidelines must be submitted to the graduate committee no later than the ninth week of the quarter preceding enrollment in MATH 699. Formerly MATH 600

Written thesis, an oral presentation of the thesis to the department and a complete Assessment Portfolio. May not be counted toward fulfilling the requirements of the Master of Arts in Mathematics. Graded credit/no credit.

#### MATH 999A. Comprehensive Examination: Written. (0 Units.)

Prerequisites: advancement to candidacy, approval of department, completion of course work in the masters program, and in good academic standing

An assessment of the students ability to integrate the knowledge of the area, show critical and independent thinking and demonstrate mastery of the subject matter.

#### MATH 999B. Comprehensive Examination: Oral. (0 Units.)

Prerequisites: advancement to candidacy, approval of department, completion of course work in the masters program, and in good academic standing

An assessment of the students ability to integrate the knowledge of the area, show critical and independent thinking and demonstrate mastery of the subject matter.