University Catalog 2013-2014 [ARCHIVED CATALOG]
Course Descriptions
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Marketing (Graduate) Classified graduate standing and approval by the College of Business and Economics Advisement Center are required for admission to all 500- level courses. |
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MKT 560 - Internet Marketing
Prerequisite: BUS 513 or consent of instructor. Integration of Internet marketing into an organizations overall marketing effort. Topics include customer interface, experience and relationship, Internet marketing matrix development and execution.
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MKT 565 - Community Based Social Marketing Management
(4)
Prerequisite: BUS 513 or consent of instructor. Explores building, developing, and managing community based social marketing tactical / strategic programs. Explores business, non-profit and government utilizing marketing management processes to engage and shape community behaviors for collective good.
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MKT 574 - Marketing Management Consulting
(4)
Prerequisite: BUS 513 or consent of instructor. Provides excellent grounding for students planning consulting and marketing careers. Topics include marketing management consulting skills utilized in Big 4 Consulting. Core skills covered in this class include: marketing strategy/execution, process/problem solutions, and proposal development.
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MKT 598 - Graduate Directed Study
(1)
Investigation of an approved project leading to a written report; project selected in conference with seminar professor, and arrangements made for regular meetings during quarter. May be repeated for credit.
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Mass Communication (Undergraduate) |
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MSCM 100 - Introduction to Mass Media
(4)
Introduction to book, newspaper and magazine publishing, motion pictures, broadcasting, and new information technologies examined in terms of communication theory and as economic, political, and social institutions.
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Math (Undergraduate) *All prerequisites for the following MATH courses must have been completed within the past year: MATH 091, 100, 102, 103, 104A, 104B, 109, 206, and 242. The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 103, 104A, 109, 242. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP). Exemption is good for one year from high school graduation for placement purposes. |
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MATH 054 - Special Topics at the Precollegiate Level
(1–8)
Selected topics in remedial mathematics with varying delivery methods. No credit towards baccalaureate degree. Graded CR/NC.
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MATH 054P - Special Topics Remedial Math Activity
(1)
Co-requisite: as needed for specific topics. Special topics activity course. No credit towards baccalaureate degree. May be repeated for credit. Graded ABC/NC.
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MATH 089 - Introduction to Algebra
(4)
*Required of students scoring 29 or less on the ELM unless exempt. Fractions, signed numbers, measurement geometry, absolute value, simplifying algebraic expressions, linear equations and inequalities. Graded CR/NC. Students with CR or two NC grades for this course may not enroll again. No credit towards baccalaureate.
*The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 090 - Elementary Algebra
(4)
*Prerequisite: Score of 30-41 on the ELM or credit in MATH 089. Introductory algebra including straight lines; graphing; systems of equations and polynomial operations; exponents, and factoring. Graded ABC/NC. Students with CR or two NC grades for this course may not enroll again. No credit towards baccalaureate.
*The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 091 - Intermediate Algebra
(4)
*Prerequisite: MATH 090 or a score of 42-49 on the ELM. Polynomial, rational and radical expressions; quadratic equations, circles, functions, exponents and an introduction to counting principles. Graded ABC/NC. Students with CR or two NC grades for this course may not enroll again. No credit towards baccalaureate.
*The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 100 - Introduction to College Mathematics
(4)
*Prerequisites: Score of 50 or more on ELM; or MATH 091 with minimum C grade. Introduction to mathematical methods and reasoning, including logic, sets and set operations, combinatorics and probability, descriptive statistics, normal distribution, and margin of error. No credit toward mathematics or computer science majors. Graded ABC/NC
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242. The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 102 - College Algebra
(4)
*Prerequisite: Score of 50 or more on ELM or MATH 091 with a minimum C grade. Algebraic expressions, equations, and inequalities; functions; exponential and logarithmic functions; permutations, combinations, binomial theorem, and basic probability. Graded ABC/NC
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242. The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 104A - Precalculus: Algebra
(4)
*Prerequisite: Score of 50 or more on (or exemption from) ELM or MATH 091 with a minimum C grade or satisfactory score on placement examination. Co-requisite: MATH 104AP. Functions, Exponential and logarithmic functions; polynomials and rational functions; systems of linear equations and matrices; sequences and series including arithmetic and geometric series.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242. The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 104AP - Precalculus: Algebra Workshop
(1)
Co-requisite: MATH 104A. Activity for MATH 104A students with emphasis on problem solving. Concurrent enrollment in MATH 104A is required. Graded ABC/NC.
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MATH 104B - Precalculus: Trigonometry
(4)
*Prerequisite/corequisite: MATH 104A with a minimum C grade or satisfactory score on placement examination. Trigonometric functions, identities, and equations; solution of triangles; inverse trigonometric functions; complex numbers, DeMoivre’s Theorem; parametric equations; polar coordinates; conic sections.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242.
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MATH 105 - Introduction to Mathematical Models in Biology
(4)
*Prerequisite: Math 104A with minimum grade of C or satisfactory score on Math 104A exit exam. Rudimentary knowledge of Microsoft Excel. Sinusoidal, exponential and logarithmic functions in a biological context. Formulation and analysis of basic discrete models in biology. Basic probability, including conditional probability and independence. Eigenvalues and eigenvectors of matrices. Intended for life-science majors.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242.
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MATH 109 - Quantitative Reasoning with Statistics (also listed as ECON 109)
(4)
*Prerequisite: Completion of remediation, if required, or score of 50 or above on ELM requirement.
Principles of quantitative reasoning, data presentation, descriptive statistics, correlation,probability, distributions of random variables, sampling distributions, interval estimation, and statistical inference, with multi-disciplinary applications. Graded ABC/NC GE A4
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242. The Entry Level Math (ELM) requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 104A and 109. The ELM exam scores are good for one year for placement purposes. The Early Assessment Program (EAP) exemption is good for one year from high school graduation for placement purposes.
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MATH 110 - Foundations of the Real Number System for Elementary and Middle School Teachers
(4)
Prerequisite: Completion of remedial mathematics, if required, or exemption from the ELM requirement. Integers and elementary number theory, rational numbers, decimals and percent, ratio and proportion, alternate bases, and word problems. Restricted to students in multiple subjects credential programs. This course does not fulfill the General Education A-4 requirement. Graded ABC/NC
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MATH 115 - Elements of Algebra and Statistics for Elementary and Middle School Teachers
(4)
Prerequisites: Math 110. Functions, relations, sequences, discrete structures, probability, data analysis, and descriptive statistics. Restricted to students in multiple subjects credential programs. Graded ABC/NC.
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MATH 154 - Selected Topics in Mathematics
(1– 4)
Prerequisite: Completion of remediation, if required, or score of 50 or more on ELM. Other prerequisites as needed for specific topics. Current topics of interest to students in Mathematics as announced in the Schedule of Classes. May be repeated for credit as subject matter changes. Graded CR/NC.
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MATH 154P - Special Topics Math Activity
(1)
Co-requisite: as needed for specific topics. Special topics activity in mathematics as announced in the Schedule of Classes. May be repeated for credit. Graded ABC/NC.
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MATH 204 - Applied Calculus I
(4)
*Prerequisite: MATH 105 with minimum grade of C or satisfactory score on entrance exam for MATH 204. Limits, continuity, derivatives, discrete models and their stability, extrema, long-term behavior of systems, approximation, Newton’s method, with a focus on applications in biology.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242.
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MATH 204P - Applied Calculus I: Workshop
(1)
Activity for MATH 204 with focus on problem solving and applications. Recommended for all students, but mandatory for those with grade below B- in any prerequisite for MATH 204 or those repeating MATH 204.
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MATH 205 - Applied Calculus II
(4)
Prerequisite: MATH 204 with minimum grade of C.
Integration methods, definite and indefinite integrals, numerical, graphical and exact methods for solving basic differential equations, analysis of stability of equilibria of systems, with a focus on applications in biology.
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MATH 205P - Applied Calculus II: Workshop
(1)
Activity for MATH 205 with focus on problem solving and applications. Recommended for all students enrolled in MATH 205, but mandatory for those with grade below B- in Math 204 or those repeating MATH 205.
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MATH 206 - Calculus I: Differentiation
(4)
*Prerequisites: MATH 104A and 104B, each with a minimum C grade or satisfactory score on placement examination; students with a grade less than B- in either MATH 104A or MATH 104B must enroll concurrently in MATH 206P. Functions, graphs, limits, continuity, derivatives, antidifferentiation, and applications.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242.
**C-ID MATH 210 and MATH 211 and MATH 900S
**The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 206P - Calculus I Workshop
(1)
Activity for Math 206 students with emphasis on problem solving. Concurrent registration in Math 206 required. Open to all Math 206 students but mandatory for students whose grade in Math 104A or Math 104B is less than B-. Graded CR/NC
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MATH 207 - Calculus II: Integration
(4)
Prerequisite: MATH 206 with minimum C grade; students with a grade less than B- in MATH 206 must enroll concurrently in MATH 207P. The definite integral, Fundamental Theorem of Calculus, transcendental functions, methods of integration, applications to physics and biology.
*C-ID MATH 210, MATH 211, MATH 220, MATH 221, and MATH 900S
*The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 207P - Calculus II Workshop
(1)
Activity for Math 207 students with emphasis on problem solving. Concurrent registration in Math 207 required. Open to all Math 207 students but mandatory for students whose grade in Math 206 is less than B-. Graded CR/NC
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MATH 208 - Calculus III: Sequences, Series, and Coordinate Systems
(4)
Prerequisite: MATH 207 with minimum C grade; students with a grade less than B- in MATH 207 must enroll concurrently in MATH 208P. Limits of sequences and series, indeterminate forms, Taylor Series, plane coordinate systems, and change of coordinates.
*C-ID MATH 220 and MATH 221 also MATH 900S
*The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 208P - Calculus III Workshop
(1)
Activity for Math 208 students with emphasis on problem solving. Concurrent registration in Math 208 required. Open to all Math 208 students but mandatory for students whose grade in Math 207 is less than B-. Graded CR/NC
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MATH 209 - Calculus IV: Several Variables
(4)
Prerequisite: MATH 208 with minimum C grade. Three-dimensional analytic geometry, partial differentiation, multiple integration, spherical and cylindrical coordinate systems, line integrals.
*C-ID MATH 230
*The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 210 - Introduction to Computer Algebra Systems
(4)
Prerequisite: Math 206 with grade C or better. Introduction to computer algebra systems such as Mathematica, Maple or Matlab; overview of built-in functions; 2-D and 3-D graphs; animations; data manipulation; introduction to basic programming structures; user-defined functions.
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MATH 215 - Differential Equations
(4)
Prerequisite: MATH 209. Ordinary differential equations with concentration on methods of finding solutions; applications in science and engineering.
*C-ID MATH 240
*The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 225 - Explorations in Geometry for Elementary and Middle School teachers
(4)
Prerequisites: A college level mathematics course with a minimum grade C. Topics include properties of two and three dimensional figures, measurement, constructions, structure, spatial relationships, transformations, and graph theory presented through multiple teaching modes. No credit for mathematics majors.
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MATH 242 - Mathematics for Business and Economics Majors
(4)
*Prerequisites: MATH 104A with minimum C grade or satisfactory score on placement examination. Differential calculus with applications in business and Economics; introduction to integral calculus.
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 100, 102, 104A, 104B, 105, 109, 204, 206 and 242.
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MATH 248 - Discrete Mathematics
(4)
Prerequisite: MATH 207. Fundamentals of logic and set theory, counting techniques, relations, induction and recursion; graphs and trees.
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MATH 253 - Foundations of Mathematical Structures for Teachers
(4)
Prerequisite: MATH 104A. Vectors in two and three dimensions; dot and cross product, matrices; basis and subspaces; determinants, systems of linear equations and their solvability; inequalities and applications; ring, field and order properties of real and complex numbers; coordinate geometry, three dimensional geometry, non-Euclidean geometries. No credit toward coursework for the B.A. or B.S. degree in Mathematics.
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MATH 254 - Selected Topics in Mathematics
(1–6)
Prerequisites: As needed for specific topic. Current topics of interest to students in mathematics, as announced in Schedule of Classes. May be repeated for credit.
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MATH 255 - Introduction to Linear Algebra
(4)
Prerequisite: MATH 207. Vector spaces, linear transformations, linear equations, matrices, determinants, eigenvectors and eigenvalues, canonical forms.
*C-ID MATH 250
*The University course listed above articulates with any California Community College (CCC) course that is approved by the C-ID program and given the corresponding “C-ID Course” designation listed here. The articulation is one-way articulation, meaning the approved community college course will articulate for the indicated course credit at the four-year university. Articulation does NOT apply from the four-year institution to the community college or between the four-year institutions.
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MATH 270 - Introduction to Probability and Statistics
(4)
Prerequisites: MATH 208, MATH 248. Descriptive statistics, sample mean and variance, basic rules of probability, conditional probability, independence, random variables, special discrete and continuous distributions, expectation, central limit theorem. Application: Markov chains.
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MATH 274 - Introduction to Statistics
(4)
Prerequisite: MATH 104A. Graphical display of data, measures of variation, correlation, least-squares regression, design of samples and experiments, basic rules of probability, normal distribution, central limit theorem, sampling distributions, confidence intervals, hypothesis tests.
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MATH 295 - Classroom Experiences in Teaching High School Mathematics
(2)
Prerequisites: MATH 209. Effective teaching techniques, study of NCTM and California content standards and framework, connecting university-level mathematics to high school content together with practical experience. Early field experience course. Service learning required.
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MATH 320 - Selected Topics in History of Mathematics
(4)
Prerequisite or corequisite: MATH 207. Traces development of fundamental concepts and techniques in fields of algebra, geometry, trigonometry, and calculus.
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MATH 325 - Mathematical Notation and Proof
(4)
Prerequisite: MATH 208. Elementary set theory and number theory with emphasis on notation and types of proof. Axiomatic method, equivalence relations, ε – δ arguments.
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MATH 350 - Tutoring Experience for Prospective Teachers
(2)
Prerequisite: MATH 209. Varying levels of tutoring assignments. Discussion of students’ misperceptions, learning difficulties, effective teaching strategies and communication of mathematics. May be repeated once for credit. Graded CR/NC.
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MATH 354 - Selected Topics in Mathematics
(1–6)
Prerequisites: As needed for specific topic. Current topics of interest to students in mathematics as announced in the Schedule of Classes. May be repeated for credit.
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MATH 390 - Technical Writing in Mathematics
(2)
Prerequisites: MATH 325 with minimum C grade, satisfactory completion of the Graduation Writing Assessment Requirement (GWAR), concurrent enrollment in a 400-level MATH course (other than 402AB). Expository writing on mathematical topics selected by the instructor, including a technical report related to the 400-level course being taken concurrently.
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MATH 398 - Cooperative Education (see UNIV 398)
(1–4)
Cooperative Education
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MATH 401 - Differential Equations
(4)
Prerequisites: MATH 209, 255, 325 with minimum C grade. Ordinary differential equations with concentration on properties of solutions, including existence and uniqueness. Emphasis on theory as opposed to applications.
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MATH 402A - Advanced Mathematics I for Engineers and Physicists
(4)
*Prerequisite: MATH 215 or 401. Vector analysis to include line and surface integrals, orthogonal curvilinear coordinates, complex variables to include contour integration and conformal mapping, Laplace transformation.
*All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 403 - Partial Differential Equations
(4)
Prerequisite: MATH 215 or 401. Orthogonal sets of functions; Fourier series and integrals, with applications to the equations of mathematical physics; first order equations, Cauchy’s method of characteristics.
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MATH 410 - Vector Analysis
(4)
Prerequisites: MATH 209, 255. Vector algebra and calculus, vector fields, gradient, divergence, curl, divergence theorem, Stokes’ theorem, applications to geometry and mathematical physics.
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MATH 420 - Mathematical Logic
(4)
Prerequisite: MATH 325 with minimum C grade. The statement calculus, the predicate calculus, mathematical structures, and the deduction of valid consequences; the completeness theorem.
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MATH 430 - Modern Geometry
(4)
Prerequisite: MATH 325 with minimum C grade. Topics selected from advanced Euclidean geometry, non-Euclidean geometry, projective geometry. May be repeated once for credit with approval of instructor as subject matter changes.
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MATH 435 - Topology
(4)
Prerequisite: MATH 465. Introduction to point set topology, including continuity, product spaces, compactness, Tyconoff theorem, connectedness, metric spaces, and Urysohn lemma.
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MATH 446 - Theory of Numbers
(4)
Prerequisite: MATH 325 with minimum C grade. Divisibility, Euclidean algorithm, prime numbers, fundamental theorem of arithmetic, distribution of primes, congruences, Fermat-Euler and Wilson theorems, residues and quadratic reciprocity law. Bernoulli numbers, quadratic forms, Diophantine equations.
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MATH 454 - Selected Topics in Advanced Mathematics
(1–6)
Prerequisites: As needed for specific topic. Current topics of interest to students in mathematics, as announced in Schedule of Classes. May be repeated for credit.
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MATH 455 - Modern Algebra I
(4)
*Prerequisites: MATH 255, 325 with minimum C grade. Groups and rings, including normal subgroups, quotient groups, ideals, quotient rings, group and ring homomorphisms and isomorphisms.
*All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 456 - Modern Algebra II
(4)
Prerequisite: MATH 455. Additional topics in groups and rings, field extensions, modules.
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MATH 457 - Linear Algebra
(4)
Prerequisites: MATH 325 with minimum C grade, and MATH 255. Vector spaces linear transformations, eigenvalues and eigenvectors, canonical forms, scalar product spaces.
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MATH 463 - Introduction to Complex Analysis
(4)
Prerequisite: MATH 465. Complex variables, analytic functions, complex integration, conformal mappings, applications.
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MATH 465 - Advanced Calculus I
(4)
*Prerequisites: MATH 209, 325 with minimum C grade. Real number system; topology of Rn including compactness and completeness; sequences and series, including limit inferior and limit superior; continuity.
*All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 466 - Advanced Calculus II
(4)
Prerequisite: MATH 465. Differentiation and integration of functions of a real variable; sequences of functions.
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MATH 467 - Advanced Calculus III
(4)
Prerequisites: MATH 255, 465. Functions of several variables; partial derivatives; generalized chain rule; inverse and implicit function theorems; line and surface integrals.
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MATH 470 - Numerical Analysis I
(4)
Prerequisites: MATH 208, 255, MATH 210 or CS 201. Errors in floating point representation, nonlinear equations, systems of linear equations, polynomial interpolation, numerical integration and differentiation.
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MATH 471 - Numerical Analysis II
(4)
Prerequisites: MATH 215, 470. Numerical solution of ordinary and partial differential equations, spline and least square approximation, fast Fourier transform.
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MATH 472 - Linear Programming
(4)
Prerequisite: MATH 255. Geometric solutions, simplex method, the transportation problem, elementary game theory.
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MATH 474 - Theory of Probability
(4)
Prerequisite: MATH 209. General probability spaces, random variables, joint distributions, random sampling, law of large numbers, normal, gamma, and binomial distributions.
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MATH 475 - Introduction to Mathematical Statistics
(4)
Prerequisite: MATH 474. Estimation and tests of hypotheses, decision theory and Bayes solutions.
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MATH 480 - Modeling Biological Systems (also listed as BIOL 480)
(4)
Prerequisites: minimum grade of C in MATH 205B or in both MATH 215 and MATH 255. Modeling techniques applied to biological systems. Topics include nonlinear dynamics, stochastic models, compartmental and spatial models, parameter estimation, methods of model evaluation, modeling complexities.
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MATH 484 - Graph Theory
(4)
Prerequisites: MATH 248 and MATH 325 with minimum C grade. Introduction to graph theory and its applications: graphs, trees, and directed graphs; isomorphism; connectivity; network flows; Hamiltonian graphs; planar graphs; coloring problems; matchings; Ramsey theory.
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MATH 490 - Senior Seminar in Mathematics
(4)
*Prerequisites: MATH 248, 390, 455, and 465. Capstone course in mathematics including written and oral exposition and senior assessment exam.
*All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 495 - Mathematics Instruction at the College Level
(2)
*Prerequisite: Graduate standing or permission of instructor. Teaching strategies and learning styles in lower division mathematics courses. Course organization; syllabus and exam preparation; instructional techniques; dealing with special problems; University policies and procedures. May be repeated for credit. Graded CR/NC.
*All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 499 - Undergraduate Directed Study
(1–4)
Prerequisite: Consent of an instructor to act as a sponsor. Project selected in conference with sponsor before registration; progress meetings held regularly, and a final report submitted. May be repeated for credit.
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MATH* 109 - Quantitative Reasoning with Statistics (also cross-listed as ECON 109)
(4)
Prerequisite: Completion of remediation, if required, or score of 50 or above on ELM requirement. Principles of quantitative reasoning, data presentation, descriptive statistics, correlation, probability, distributions of random variables, sampling distributions, interval estimation, and statistical inference, with multi-disciplinary applications. Graded ABC/NC
*All prerequisites for the following MATH courses must have been completed within the past year: MATH 091, 100, 102, 103, 109, 206, and 242. The ELM requirement must be met before enrollment in MATH 089, 090, 091, 100, 102, 103, 109, 242. The ELM exam scores are good for one year for placement purposes.
GE A4
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Math (Graduate) All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
Classified graduate standing is required for enrollment in 500-level courses. |
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MATH 502A - Applied Linear Analysis
(4)
Prerequisites: MATH 215 or 401; 255; 410 or 467. Function spaces, convergence, inner product, bounded linear operators, integral operators and integral equations, adjoint operators, expansion in eigenfunctions, resolvent, kernel.
NOTE: All 400-level courses may be applied toward master’s degree requirements except the following, subject to limits established by department and approval of graduate adviser: MATH 402A, 455, 465, 490, 495.
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MATH 502B - Applied Linear Analysis
(4)
Prerequisite: MATH 502A. Unbounded operators, differential operators of second order, Sturm-Liouville operators, eigenvalues and eigenfunctions, Green’s Functions, and additional topics.
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MATH 521 - Mathematical Modeling
(4)
Prerequisite: MATH 210 (or equivalent programming experience), MATH 215 or 401, MATH 255, MATH 474, Recommended: MATH 403. Modeling techniques with difference and differential equations and stochastic models, with applications in fields such as biology, physics, and engineering.
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MATH 522 - Optimization
(4)
Prerequisite: MATH 210 (or equivalent programming experience), MATH 255, MATH 465. Selected topics from unconstrained, constrained, least squares, and parametric optimization.
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MATH 530 - Topology
(4)
Prerequisite: MATH 435. Basic concepts of point set topology: mappings, compactness, connectedness, separation properties, and metrization.
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MATH 540A - Abstract Algebra I
(4)
Prerequisite: MATH 455. Theory of groups, introduction to rings.
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MATH 540B - Abstract Algebra II
(4)
Prerequisite: MATH 540A. Theory of rings and fields.
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MATH 550 - Seminar: Algebra
(4)
Prerequisite: Approval of instructor. Readings and discussion of topics from group theory, ring theory, linear algebra, discrete mathematics, and combinatorics. May be repeated to maximum of 8 units with approval of graduate adviser.
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MATH 551 - Seminar: Analysis
(4)
Prerequisite: Approval of instructor. Readings and discussion of topics from real analysis, complex analysis, functional analysis, and applied analysis. May be repeated to maximum of 8 units with approval of graduate adviser.
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MATH 552 - Seminar: Topology and Geometry
(4)
Prerequisite: Approval of instructor. Readings and discussion of topics from general and algebraic topology, differential topology and geometry, and geometrical foundations. May be repeated to maximum of 8 units with approval of graduate adviser.
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MATH 553 - Seminar: Applied Mathematics
(4)
Prerequisite: Approval of instructor. Readings and discussions of selected topics in the field. May be repeated to maximum of 8 units with approval of graduate adviser.
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MATH 559 - Mathematical Exposition
(2)
Prerequisite: Completion of at least 12 units of 500-level courses. Students will select an advanced topic in mathematics with the instructor’s approval, prepare an expository paper and give an oral presentation on this topic.
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MATH 562 - Advanced Complex Analysis
(4)
Prerequisite: MATH 463. Laurent series, singularities, residue problems, contour integration, conformal mappings, and additional topics.
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MATH 570 - Numerical Linear Algebra
(4)
Prerequisites: MATH 210 (or equivalent programming experience), MATH 470. Numerical solutions of linear systems of equations, and eigenvalue problems, direct solutions, interactive solutions, with additional topics in linear algebra as time permits.
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MATH 571 - Numerical Solutions of Partial Differential Equations
(4)
Prerequisites: MATH 210 (or equivalent programming experience), MATH 470. Numerical solutions of partial differential equations; finite-difference approximations, consistency, convergence, stability.
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MATH 580 - Real Analysis
(4)
Prerequisite: MATH 466. Theory of Lebesgue measure on the real line; theory of the Lebesgue integral and related convergence theorems.
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MATH 584 - Advanced Probability Theory
(4)
Prerequisite: MATH 580. Probability spaces; random variables; abstract probability integrals, moments, convergence theorems; distribution and characteristic functions; central limit theorems; dependence.
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MATH 591 - Functional Analysis
(4)
Prerequisites: MATH 435 or 530; 466. Banach spaces, Hilbert spaces, linear functionals and operators, spectral theory.
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MATH 596 - Comprehensive Examination
(0)
See the Comprehensive Examination in the requirements for the Masters Degree section of this chapter.
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MATH 598 - Graduate Directed Study
(1–4)
Prerequisite: Instructor consent. Independent study of advanced topics in mathematics; regular conferences with instructor. May be repeated once.
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MATH 599 - Thesis
(1–4)
Prerequisites: Advancement to candidacy, instructor consent to act as sponsor, departmental approval of topic prior to registration. Independent research resulting in a thesis. May be repeated to maximum of 4 units. Graded CR/NC.
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Mechanical Engineering (Undergraduate) All 400-level courses may be applied toward master’s degree requirements, subject to limits established by the department and approval of the graduate adviser. |
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ME 101 - Mechanical Energy Production, Transmission, and Utilization
(4)
Prerequisite: Math 104A or one year of high school Algebra. Engineering principles for non-engineering majors. Introduction to how Mechanical Engineers use natural sources of energy to produce, transmit, and utilize work and power. Both alterative and traditional sources of energy will be discussed. No credit towards B.S. degree in Mechanical Engineering.
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ME 103 - Introduction to Mechanical Design
(3)
Prerequisite: TECH 110 or one year of high school mechanical drafting. Graphics for mechanical engineering design, freehand sketching, use of computer-aided design (CAD) software for solid modeling, descriptive geometry, and selected design projects. Optional rehabilitation engineering service leaning activities.
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ME 114 - Machine Shop
(1)
Introduction to machine shop procedures, safety practices, hand tools, band saw, drill press, milling, turning, welding (Graded CR/NC).
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