2017-2018 University Catalog [ARCHIVED CATALOG]
Index of Courses
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Materials Engineering All students in engineering and engineering technology curricula must satisfy ENG 103, ENG 104, ENG 107 , ENG 109 , or ENG 110 prior to enrolling in any 300-level or higher course in the College of Engineering. Lecture and laboratory courses listed together are to be taken concurrently. |
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MTE 650 - Nanomaterials (4)
Fundamental understanding of nanomaterials science. Limits to strengthening of materials at the nanoscale. Thermodynamics and kinetics at the nanoscale. Effects of dimensionality and scale. Graphene, nanotubes, fullerenes, and nanocomposites.
Prerequisite(s): Completion of advisor-approved breadth course requirements.
Component(s): 4 lectures/problem-solving.
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MTE 670 - Biomaterials (4)
Materials and their interactions with biological hosts. Biological strategies for materials synthesis. Bio-inspired materials. Hierarchical and cellular structure of biomaterials, e.g, bones and muscles. Bio-composites. Damage, degradation, and restoration of biomaterials.
Prerequisite(s): EGR 528 and EGR 546 .
Component(s): 4 lectures/problem-solving.
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Mathematic Education |
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MAE 560 - Problem Solving as a Mathematical Endeavor (4)
Heuristics and strategies to solve mathematical problems, impact of technology in solving problems and in teaching problem-solving, reformulation of problems and problem posing techniques, presentation of outcomes. Introduction to mathematical problem-solving literature.
Prerequisite(s): C or better in MAT 511 or MAT 517 .
Component(s): 4 lecture/problem-solving.
When Offered: Even years
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MAE 590 - Acquiring Mathematical Knowledge: Cognitive Dimension (4)
Theoretical foundations of cognitive aspects of mathematics learning including knowledge acquisition construction of knowledge, thinking processes, and forms of communication. Trends in cognitive development and learning strategies. Critical examination of the current research literature concerning cognitive issues related to mathematics education.
Prerequisite(s): Consent of instructor
Component(s): 4 lecture/problem-solving.
When Offered: F, odd years
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MAE 591 - Acquiring Mathematical Knowledge: Non-cognitive Dimension (4)
Theoretical foundations of non-cognitive aspects of mathematics learning including personal, classroom, public issues affecting mathematics learning. Incorporation of non-cognitive components into instructional decisions. Critical examination of the current research literature related to issues and policies in mathematics education.
Prerequisite(s): Consent of instructor, C or better in MAT 590.
Component(s): 4 lecture/problem-solving.
When Offered: W, odd years
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MAE 592 - Technology in Mathematics Education (4)
A study of various technology tools for teaching mathematics. An examination of criteria for evaluation of technical tools, methods of incorporating technology into educational practices, and educational as well as sociopolitical issues related to the use of technology in mathematics education.
Prerequisite(s): C or better in MAT 492
Component(s): 4 lecture/problem-solving.
When Offered: F, even years
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MAE 593 - Research Methods in Mathematics Education (4)
Quantitative and qualitative methods of research in mathematics education. An introduction to the research literature. Issues such as analysis of protocols, problems of measurement in evaluation of learning.
Prerequisite(s): C or better in MAE 590 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAE 594 - Topics for Math Educators (4)
Topics related to purpose, method, and scope of assessment in the mathematics education classroom, and to method of instructional design in secondary and post-secondary settings. Exploration of the relationship between assessment and instructional design.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture/problem-solving.
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MAE 599/599A/599L - Special Topics in Mathematics Education (1-4/1-4/1-4)
Group study of a selected topic, the title to be specified in advance.
Prerequisite(s): consent of instructor.
Component(s): Lecture/activity/laboratory or combination of these.
Minimum/Maximum Units: Total credit limited to 8 units with a maximum of 4 units per quarter.
When Offered: odd years
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Mathematics F,W, Sp, and Su notations indicate the quarter(s) each course is normally offered. Unless otherwise specified, the course is offered this year during the indicated quarter(s). |
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MAT 10 - Prealgebra (4)
Geometry, measurement geometry, introduction to algebra including variable expressions, linear equations, polynomials, techniques of factoring, integer exponents.
Component(s): 4 lecture/problem-solving.
Grading: Letter grade only.
When Offered: F, W, Sp, Su
Note(s): Course does not earn Baccalaureate credit.
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MAT 11 - Basic Algebra (4)
Applications of linear equations, techniques of factoring, rational expressions, linear inequalities, graphs of linear functions, systems of linear equations, rational exponents and radicals, quadratic equations.
Prerequisite(s): Undergraduate standing; and earned either a minimum placement score on ELM or appropriate MDPT, or C or better in MAT 10 .
Component(s): 4 lecture/problem-solving.
Grading: Letter grade only.
When Offered: F, W, Sp, Su
Note(s): Course does not earn Baccalaureate credit.
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MAT 12 - Intermediate Algebra (4)
Complex numbers, advanced quadratic equations with applications, quadratic and rational inequalities, functions, conic sections, logarithms, non-linear systems of equations, sequences and series, binomial expansions.
Prerequisite(s): Undergraduate standing; and earned either a minimum placement score on ELM or appropriate MDPT, or C or better in MAT 11 .
Component(s): 4 lecture/problem-solving.
Grading: Letter grade only
When Offered: F, W, Sp, Su
Note(s): Course does not earn Baccalaureate credit.
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MAT 105 - College Algebra (4)
Real numbers, inequalities, absolute value, coordinate systems, functions, progressions, linear and quadratic systems, polynomials, rationals, exponentials, and logs, and mathematical induction.
Prerequisite(s): Achieved a minimum placement score on appropriate MDPT; or C or better in MAT 12 , or MAT 106 , or MAT 125 , or MAT 191 , or STA 120 ; or earned 550 or above on old SAT Reasoning; or earned 570 or above on new SAT; or 23 or better on ACT.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 106 - Trigonometry (4)
The circular functions, general reduction formulas, inverse functions, graphs, Law of Sines, Law of Cosines, identities and complex numbers. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved a minimum placement score on the appropriate MDPT; or C or better in MAT 12 , or MAT 105 , or MAT 125 , or MAT 191 , or STA 120 ; or earned 550 or above on old SAT Reasoning; or earned 570 or above on new SAT; or 23 or better on the ACT.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 112 - Preparation for Calculus (4)
Function, theory, techniques for graphing functions (polynomials, rational functions, trigonometry functions, exponential functions, log functions, and compositions of these such as trig polynomials), solutions of systems of linear and non-linear equations, inequalities, introduction to limits.
Prerequisite(s): Achieved either a minimum placement score on appropriate MDPT, or C or better in both MAT 105 and MAT 106 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 114 - Analytic Geometry and Calculus I (4)
Functions, limits, continuity, derivatives of all functions including trig, exponential, log, inverse trig and implicit functions. Applications of derivatives including max/min problems. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved either a minimum placement score on the appropriate MDPT, or B or better in both MAT 105 and MAT 106 , or C or better in MAT 112 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 115 - Analytic Geometry and Calculus II (4)
Definite and indefinite integrals. The Fundamental Theorem of Calculus. Applications of the definite integral. Integration techniques including integration by parts, integrals of trig products, partial fractions, substitution, trig substitution. Hyperbolic functions. Course fulfills GE Sub-area B4.
Prerequisite(s): C or better in MAT 114 or consent of the instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 116 - Analytic Geometry and Calculus III (4)
Sequences and series, L’Hospital’s rule, improper integrals, polar coordinates, parametric equations and conic sections. Course fulfills GE Sub-area B4.
Prerequisite(s): C or better in MAT 115 or consent of the instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 120 - Calculus for the Life Sciences (4)
Study of the calculus of algebraic, exponential and logarithmic functions. Graphing, limits, derivatives, differentials and integrals of single variable functions listed above. Brief introduction to partial derivatives and double integrals of multivariable functions. Special emphasis is given to applications in life sciences. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved either a minimum placement score on appropriate MDPT or C or better in MAT 105 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp
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MAT 125 - Introductory Calculus for Business (4)
Graphing, differentiation, integration of rational and exponential functions, with special emphasis on applications to business. Not open to any student whose major requires the MAT 114 sequence. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved either a minimum placement score on appropriate MDPT, or C or better in MAT 12 , or MAT 105 , or MAT 106 , or MAT 191 , or STA 120 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 130 - Technical Calculus I (4)
Differential calculus of rational functions and applications of the derivative. Integral calculus and applications of the integral. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved either a minimum placement score on appropriate MDPT, or B or better in both MAT 105 and MAT 106 , or C or better in MAT 112 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 131 - Technical Calculus II (4)
Analytic geometry. Derivatives and integrals of trigonometric, logarithmic, and exponential functions and applications. Infinite Series.
Prerequisite(s): C or better in MAT 130 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 132 - Technical Calculus III (4)
Techniques of multidimensional calculus, introduction to ordinary differential equations and Laplace transforms.
Prerequisite(s): C or better in MAT 131 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp
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MAT 191 - Survey of Mathematics (4)
Emphasis on modern applications of selected topics from sets, logic, probability, statistics and mathematical modeling. Course fulfills GE Sub-area B4.
Prerequisite(s): Achieved minimum placement score on appropriate MDPT; or C or better in MAT 12 , MAT 105 , MAT 106 , MAT 125 , or STA 120 ; or earned 50 or above on ELM; or 550 or above on old SAT Reasoning; or 570 or above on new SAT; or 23 or above on the ACT.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 194 - Mathematical Concepts for Elementary School Teachers: Number Systems (4)
Development of the real number system including sets, operations and properties; topics in number theory. Development of problem-solving strategies, introduction to proof and inductive and deductive reasoning. Application of technology to these topics.
Prerequisite(s): Achieved minimum placement score on appropriate MDPT; or C or better in MAT 12 , MAT 105 , MAT 106 , MAT 125 , or STA 120 ; or earned 50 or above on ELM; or 550 or above on old SAT Reasoning; or 570 or above on new SAT; or 23 or above on ACT.
Component(s): 4 lecture/problem-solving.
Note(s): Students must complete MAT 194, MAT 394 , MAT 395 , and MAT 494 to meet the GE Area B4 requirement.
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MAT 200 - Special Study for Lower Division Students (1-2)
Individual or group investigation, research, studies or surveys of selected problems.
Minimum/Maximum Units: Total credit limited to 4 units, with a maximum of 2 units per quarter.
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MAT 201 - Introduction to Numerical Methods (4)
Numerical methods of topics from algebra and calculus. Topics will include function evaluation and graphing, limits, summation, solving nonlinear equations, numerical integration and differentiation and an introduction to numerical error.
Prerequisite(s): C or better in MAT 116 and CS 128 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, Sp
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MAT 208 - Introduction to Linear Algebra (4)
Introduction to linear transformations of the plane, vector space of n-tuples, matrix algebra, determinants, systems of linear equations.
Prerequisite(s): C or better in MAT 214 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 214 - Calculus of Several Variables I (3)
Introduction to vectors, dot products, cross products, equations of lines and planes. Calculus of Vector Valued Functions including unit tangents, unit normals and curvature. Introduction to multivariable functions, the Differential Calculus of Multivariable Functions, the chain rule, applications including extreme problems and Lagrange multipliers.
Prerequisite(s): C or better in MAT 116 or consent of instructor.
Component(s): 3 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 215 - Calculus of Several Variables II (3)
Integral Calculus of Multivariable functions, double and triple Integrals, applications of double and triple integrals, line and surface integrals, Green’s Theorem, Divergence Theorem, Stokes Theorem.
Prerequisite(s): C or better in MAT 214 or consent of instructor.
Component(s): 3 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 216 - Differential Equations (4)
The theory of ordinary differential equations with emphasis on the linear case.
Prerequisite(s): C or better in MAT 116 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 224 - Elementary Linear Algebra and Differential Equations (4)
Separable and linear ordinary differential equations; numerical and analytical solutions. Linear algebra: vectors in n-space, matrices, linear transformations, eigenvalues, eigenvectors, diagonalization; applications to the study of systems of linear differential equations.
Prerequisite(s): C or better in MAT 116 or consent of instructor.
Component(s): 4 lecture/problem-solving.
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MAT 299/299A/299L - Special Topics for Lower Division Students (1-4/1-4/1-4)
Group study of a selected topic, the title to be specified in advance.
Prerequisite(s): Consent of instructor.
Component(s): Lecture/Activity/Laboratory or a combination.
Minimum/Maximum Units: Total credit limited to 8 units, with a maximum of 4 units per quarter.
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MAT 306 - History of Mathematics (4)
Development of mathematics over four millennia. Recommended for students preparing to teach mathematics.
Prerequisite(s): C or better in MAT 215 or consent of instructor.
Component(s): 4 lecture.
When Offered: F, Sp
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MAT 310 - Basic Set Theory and Logic (4)
Basic set theory and logic, relations, functions, mathematical induction, countable and uncountable sets. Emphasis on how to present and understand mathematical proof.
Prerequisite(s): C or better in MAT 116 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp
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MAT 314 - Intermediate Analysis (4)
Metric spaces and continuity. Analysis of functions of a single variable. Sequences, limits, continuity, differentiation, integration, introduction to function spaces.
Prerequisite(s): C or better in MAT 215 and MAT 310 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W
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MAT 315 - Intermediate Analysis (4)
Metric spaces and continuity. Analysis of functions of a single variable. Sequences, limits, continuity, differentiation, integration, introduction to function spaces.
Prerequisite(s): C or better in MAT 314 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, Sp
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MAT 317 - Laplace Transforms and Fourier Series (3)
Introduction to Fourier Series and Integrals with applications. Elementary theory of Laplace transformation with applications including the solution of differential equations.
Prerequisite(s): C or better in MAT 216 or consent of instructor.
Component(s): 3 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 318 - Mathematical Analysis of Engineering Problems (3)
Introduction to the algebra and calculus of vectors including the divergence and Stokes’ theorem. Introduction to analytic functions of a complex variable. Not open to mathematics majors for math elective credit.
Prerequisite(s): C or better in MAT 215 or consent of instructor.
Component(s): 3 lecture/problem-solving.
When Offered: F, Sp, Su
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MAT 321 - Introduction to Topology (4)
Topology of the line and plane, topological spaces, continuity and topological equivalence and topics selected from the following: bases and sub-bases, metric and normed spaces, countability axioms, separation axioms, compactness, connectedness, product spaces, completeness and function spaces.
Prerequisite(s): C or better in MAT 310 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F
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MAT 325 - Introduction to the Theory of Numbers (4)
Fundamentals of the system of integers, divisibility, congruences, theorems of Fermat and Wilson, power residues and indices, quadratic reciprocity, factorization techniques, diophantine equations, theorems of Euler, Gauss and Lagrange. Elementary results concerning the distribution of primes.
Prerequisite(s): junior standing or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W
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MAT 330 - Modern Euclidean Geometry (4)
Euclidean geometry using modern techniques of transformations, inversions. Extension of elementary geometry to elegant results on triangles, circles, polygons, famous theorems of geometry, unsolved problems. Introduction to deductive reasoning and techniques of proof.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W
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MAT 370 - Graph Theory (4)
The study of graphs, trees, Eulerian, Hamiltonian, planar graphs, connectivity, coloring, independence and covering numbers, directed graphs, theorems of Menger, Ramsey with applications.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, Sp
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MAT 380 - Mathematics of Operations Research (4)
Introduction to mathematics of linear programming (LP): algebra and geometry of simplex method, solution of LP problems by Gauss-Jordan elimination method. Duality theory and sensitivity analysis. Development of revised and dual simplex algorithms. Introduction to parametric and separable convex programming. Applications of LP: computational considerations, case studies.
Prerequisite(s): C or better in MAT 208 and MAT 215 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, even years
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MAT 381 - Mathematics of Operations Research (4)
Solution of transportation, transshipment and assignment problems. Formulation and solution of network problems: maximal flow, minimal spanning tree, shortest route problems; PERT-CPM techniques. Introduction to dynamic and integer programming. Elements of game theory, solution of games by linear programming. Introduction to nonlinear programming: Kuhn-Tucker conditions, quadratic and convex programming; SUMP solution procedure.
Prerequisite(s): C or better in MAT 380 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, odd years
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MAT 394 - Elementary Mathematics from an Advanced Viewpoint: Algebra (4)
Analysis of patterns and functions; proportional reasoning as foundational to algebra; inductive and deductive reasoning; proofs.
Prerequisite(s): C or better in MAT 194 or equivalent. (See Mathematics department for details).
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 395 - Elementary Geometry from an Advanced Viewpoint: Geometry (4)
Analysis of construction of geometric figures; estimation and measurement of perimeter, area and volumes of shapes; induction and deductive geometric proofs.
Prerequisite(s): C or better in MAT 394 .
Component(s): 4 lecture/problem-solving.
When Offered: F, W, Sp, Su
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MAT 400 - Special Study for Upper Division Students (1-2)
Individual or group investigation, research, studies or surveys of selected problems.
Minimum/Maximum Units: Total credit limited to 4 units, with a maximum of 2 units per quarter.
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MAT 401 - Numerical Analysis (4)
Theoretical error and machine error associated with algorithms. Solutions of non-linear equations, systems of linear equations and systems of non-linear equations.
Prerequisite(s): C or better in MAT 201 , MAT 208 , MAT 215 and CS 128 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, odd years
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MAT 402 - Numerical Methods in Differential Equations (4)
Polynomial interpolation, cubic splines, numerical differentiation and integration, numerical solutions of differential equations including Runga-Kutta methods and predictor-corrector methods for solving initial value problems and the shooting method for solving boundary value problems.
Prerequisite(s): C or better in MAT 216 and either MAT 401 or CS 301 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, even years
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MAT 413 - Advanced Calculus (4)
Differential and integral calculus of functions and transformations in several real variables.
Prerequisite(s): C or better in MAT 315 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAT 415 - Foundations of Geometry (4)
Axiomatic development of selected topics from Euclidean and neutral geometries; introduction to non-Euclidean geometry with emphasis on the hyperbolic case.
Prerequisite(s): C or better in MAT 208 and MAT 215 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, even years
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MAT 416 - Projective Geometry (4)
Synthetic and analytic treatment of selected topics from projective geometry; classical theorems, conics, polarities; quadratic and bilinear forms.
Prerequisite(s): C or better in MAT 208 and MAT 215 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAT 417 - Modern Algebra (4)
Introduction to algebraic structures; groups, rings, integral domains, fields; mappings with emphasis on morphisms.
Prerequisite(s): C or better in MAT 310 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W
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MAT 418 - Modern Algebra (4)
Introduction to algebraic structures; groups, rings, integral domains, fields; mappings with emphasis on morphisms.
Prerequisite(s): C or better in MAT 417 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, Sp
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MAT 419 - Abstract Linear Algebra (4)
Vector spaces and dimension, linear transformations, dual spaces, adjoints of transformations, multilinear forms, eigenvectors, the Cayley- Hamilton theorem, inner product spaces, orthogonality, similarity transformations, the spectral theorem, Jordan form.
Prerequisite(s): C or better in MAT 208 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, even years
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MAT 420 - Differential Geometry (4)
The Frenet formulas, covariant derivatives, frame fields, the structure equations, differential forms on a surface, normal curvature, Gaussian curvatures; intrinsic geometry of surfaces in E3, the Gauss and Bonnet theorem.
Prerequisite(s): C or better in MAT 314 and MAT 216 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, even years
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MAT 428 - Functions of a Complex Variable I (4)
Algebra and geometry of complex numbers; analyticity, mappings of elementary functions; Cauchy integral formula, Taylor and Laurent series, the residue theorem; conformal mapping with applications.
Prerequisite(s): C or better in MAT 314 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, odd years, W
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MAT 429 - Functions of a Complex Variable II (4)
Continuation of Topics in MAT 428 .
Prerequisite(s): C or better in MAT
428 or consent of instructor.
Component(s): 4 lecture/problem-solving.
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MAT 431 - Differential Equations (4)
Partial differential equations with applications to wave actions, heat transfer and fluid flow. Ordinary differential equations; linear with variable coefficients, linear systems; stability and qualitative behavior of solutions.
Prerequisite(s): C or better in MAT 216 and MAT 208 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, odd years
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MAT 432 - Differential Equations (4)
Partial differential equations with applications to wave actions, heat transfer and fluid flow. Ordinary differential equations; linear with variable coefficients, linear systems; stability and qualitative behavior of solutions.
Prerequisite(s): C or better in MAT 216 and MAT 208 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAT 444 - Vector and Tensor Analysis (4)
An integrated course in the algebra and calculus of vectors and tensors; topics in differential geometry; applications to mechanics of deformable media, hydrodynamics, general relativity.
Prerequisite(s): C or better in MAT 208 and MAT 216 or consent of instructor. PHY 321 is recommended.
Component(s): 4 lecture/problem-solving.
When Offered: W, odd years
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MAT 450 - Foundations of Mathematics (4)
Introduction to axiom systems including consistency, independence, satisfiability and completeness; transfinite arithmetic; the continuum hypothesis; well-ordering and its equivalents.
Prerequisite(s): C or better in MAT 310 or consent of the instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAT 461 - Senior Project (2)
Selection and completion of a project under faculty supervision. Projects typical of problems which graduates must solve in their fields of employment. Project results are presented in a formal report.
Minimum/Maximum Units: Minimum of 120 hours total time.
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MAT 462 - Senior Project (2)
Selection and completion of a project under faculty supervision. Projects typical of problems which graduates must solve in their fields of employment. Project results are presented in a formal report.
Minimum/Maximum Units: Minimum of 120 hours total time.
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MAT 463 - Undergraduate Seminar (2)
Discussions through seminar methods of new developments in the fields of student’s particular interests.
Prerequisite(s): senior standing in mathematics.
Component(s): 2 lecture/discussion.
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MAT 470 - Combinatorics (4)
Study of enumeration techniques, permutations, combinations, principle of inclusion and exclusion, finite fields, combinatorial designs, error correcting codes.
Prerequisite(s): C or better in MAT 208 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, W
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MAT 480 - Mathematical Programming (4)
Treatment of linear inequalities, duality, general algorithms, application of linear programming. Introduction to discrete and nonlinear programming.
Prerequisite(s): C or better in MAT 208 and CS 128 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, odd years
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MAT 485 - Mathematical Modeling and Simulation (4)
Introduction to the general principles of modeling. Models will be selected from the areas such as physics, biology, political science, chemistry, engineering and business. Analytical, numerical and simulation methods will be used to solve the models.
Prerequisite(s): C or better in the following courses: CS 128 , MAT 201 , MAT 208 , MAT 216 and STA 241 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, even years
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MAT 486 - Mathematical Modeling and Simulation (4)
Introduction to the general principles of modeling. Models will be selected from the areas such as physics, biology, political science, chemistry, engineering and business. Analytical, numerical and simulation methods will be used to solve the models.
Prerequisite(s): C or better in the following courses: CS 128 , MAT 201 , MAT 208 , MAT 216 and STA 341 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, even years
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MAT 492 - Technological Applications in Mathematics (4)
Use of computers, microcomputers, calculators and other technologies in doing mathematics. Evaluation and utilization of instructional software in mathematics; use of application software including databases and spreadsheets; social issues related to microcomputer use. This course is intended for future teachers at the middle and high school levels.
Component(s): 4 lecture/problem-solving.
When Offered: W, Su
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MAT 493 - Algebraic Structures and Computing for Elementary and Middle School Teachers (4)
Development of algebraic structures from groups to fields. Study of modular arithmetic, relationships and functions. Use of the computer, to investigate algebraic relationships and algorithms.
Component(s): 4 lecture/problem-solving.
When Offered: F, Sp
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MAT 494 - Elementary Mathematics from an Advanced Viewpoint: Probability, Statistics, and Data Analysis (4)
Basic notions of chance and probability, inferences, predictions and arguments based on data collection, organization and representation.
Prerequisite(s): C or better in MAT 394 .
Component(s): 4 lecture/problem-solving.
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MAT 495/495A, 496/496A - Topics in Contemporary Secondary Mathematics I, II (3/1,3/1)
Examination of the high school mathematics curriculum from an advanced viewpoint. Analysis of current issues and trends in secondary school mathematics. Use of technology in learning mathematics. Assessment of students’ competency in mathematics. Field experiences in educational and non-educational settings.
Prerequisite(s): Completion of 28 units of 300 and 400- level mathematics courses, including MAT 417 , MAT 325 , MAT 306 and a course in Geometry selected from MAT 330 , MAT 415 , or MAT 416 or the equivalent of these three courses.
Component(s): 3 hours lecture, 1 two-hour activity.
Grading: MAT 495/495A and MAT 496/496A are mandatory credit/no credit grading basis.
When Offered: F (495/495A)/W (496/496A)
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MAT 497/497A - Topics in Contemporary Secondary Mathematics III (3/1)
Examination of the high school mathematics curriculum from an advanced viewpoint. Analysis of current issues and trends in secondary school mathematics. Use of technology in learning mathematics. Assessment of students’ competency in mathematics. Field experiences in educational and non-educational settings.
Prerequisite(s): Completion of 28 units of 300 and 400- level mathematics courses, including MAT 417 , MAT 325 , MAT 306 and a course in Geometry selected from MAT 330 , MAT 415 , or MAT 416 or the equivalent of these three courses.
Component(s): 3 hours lecture, 1 two-hour activity.
Grading: The first two quarters of the sequence, MAT 495/495A, 496/496A are graded on a CR/NC.
When Offered: Sp
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MAT 499/499A/499L - Special Topics for Upper Division Students (1-4/1-4/1-4)
Group study of a selected topic, the title to be specified in advance.
Prerequisite(s): consent of instructor.
Component(s): Lecture/activity/laboratory or combination of these.
Minimum/Maximum Units: Total credit limited to 8 units with a maximum of 4 units per quarter.
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MAT 508 - Numerical Linear Algebra (4)
Topics will include numerical methods for determinants, systems of linear equations (direct and iterative methods), matrix inversions, eigenvalues, eigenvectors, techniques to minimize error propagation, splittings, rate of convergence of methods.
Prerequisite(s): a grade of C or better in MAT 208 , MAT 315 and MAT 401 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, even years
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MAT 509 - Error Analysis (4)
Topics will include sources of error, types of error, error propagation, techniques for minimizing error, backward error analysis, approximation of functions, error analysis of iterative methods for non-linear equations.
Prerequisite(s): a grade of C or better in MAT 401 and MAT 402 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, even years
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MAT 511 - Real Analysis (4)
Properties of Lebesgue measure and integration, Borel Sets, monotone functions and functions of bounded variation, classical Banach spaces, metric spaces, measure spaces and measurable functions, the Radon- Nikodym theorem, the Fubini theorems, Daniel integrals, applications.
Prerequisite(s): a grade of C or better in MAT 315 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: F, W
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MAT 512 - Real Analysis (4)
Properties of Lebesgue measure and integration, Borel Sets, monotone functions and functions of bounded variation, classical Banach spaces, metric spaces, measure spaces and measurable functions, the Radon- Nikodym theorem, the Fubini theorems, Daniel integrals, applications.
Prerequisite(s): a grade of C or better in MAT 315 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: F, W
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MAT 517 - Abstract Algebra (4)
Groups, Sylow theorems, rings and modules, chain conditions, morphism theorems, principal ideal domains, field extensions and finite fields, Galois theory.
Prerequisite(s): a grade of C or better in MAT 418 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: W, Sp, odd years
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MAT 518 - Abstract Algebra (4)
Groups, Sylow theorems, rings and modules, chain conditions, morphism theorems, principal ideal domains, field extensions and finite fields, Galois theory.
Prerequisite(s): a grade of C or better in MAT 418 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: W, Sp, odd years
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MAT 521 - Topology (4)
Topological spaces, connectedness, compactness, continuity, separation and countability axioms, metric spaces, product spaces, function spaces and quotient spaces, uniform spaces, paracompactness.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture discussions.
When Offered: F, even years
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MAT 528 - Complex analysis (4)
General form of Cauchy’s theorem, conformal mappings, normal families. Riemann mapping theorem, theorems of Mittag-Leffler and Weierstrass, analytic continuation. Picard’s theorem. Selected topics such as Dirichlet’s problem, generalization of Picard’s theorem, gamma and zeta functions.
Prerequisite(s): MAT 314 or MAT 428 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: F, odd years, W, even years
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MAT 529 - Complex analysis (4)
General form of Cauchy’s theorem, conformal mappings, normal families. Riemann mapping theorem, theorems of Mittag-Leffler and Weierstrass, analytic continuation. Picard’s theorem. Selected topics such as Dirichlet’s problem, generalization of Picard’s theorem, gamma and zeta functions.
Prerequisite(s): MAT 314 or MAT 428 or consent of instructor.
Component(s): 4 lecture/discussions.
When Offered: F, odd years, W, even years
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MAT 535 - History of Mathematics (4)
Historical development of selected mathematical topics drawn generally from the body of 18th century and later mathematics. Topics to be covered announced by the professor prior to registration.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture discussions.
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MAT 540 - Kalman Filter (4)
Discrete- and continuous-time Kalman Filter. Design, simulation, and implementation; the extended Kalman Filter. Applications to radar, tracking, communication networks, space navigation, social and environmental systems.
Prerequisite(s): CS 128 , MAT 208 , MAT 216 , STA 241 or STA 326 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, odd years
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MAT 545 - Modeling (4)
Modeling of deterministic systems and random processes using ordinary and partial differential equations. Fourier methods, general modeling principles and techniques, perturbation theory and sensitivity analysis, applications.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, Sp, odd years
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MAT 546 - Modeling (4)
Modeling of deterministic systems and random processes using ordinary and partial differential equations. Fourier methods, general modeling principles and techniques, perturbation theory and sensitivity analysis, applications.
Prerequisite(s): consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: W, Sp, odd years
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MAT 550 - Seminar in Mathematics (1-4)
Topics in advanced mathematics chosen according to the interests and needs of the students enrolled. Each seminar will have a subtitle according to the nature of the content.
Prerequisite(s): consent of instructor.
Component(s): 1-4 seminars.
Repeatable: May be repeated for a maximum of 8 units.
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MAT 570 - Graphs and Network Flows (4)
Matching theory in graphs and network flows in capacity-constrained networks. Major topics include the Konig-Egervary Theorem for bipartite graphs and the Maximal Flow Algorithm for networks, along with a wide variety of applications.
Prerequisite(s): MAT 370 or consent of the instructor.
Component(s): 4 lecture/problem-solving.
When Offered: Sp, even yrs
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MAT 580 - Optimization Theory and Applications (4)
Topics will include convex sets, extrema of functions, convex functions, non-linear convex, quadratic and dynamic programming, applications, primal-dual methods for solving constrained problems, applications to large scale mathematical programming problems.
Prerequisite(s): a grade of C or better in MAT 480 or consent of instructor.
Component(s): 4 lecture/problem-solving.
When Offered: F, odd years
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MAT 599/599A/599L - Special Topics for Graduate Students (1-4/1-4/1-4)
Group study of a selected topic, the title to be specified in advance.
Prerequisite(s): consent of Instructor.
Component(s): Lecture/Activity/Laboratory/or combination of these.
Minimum/Maximum Units: Total credit limited to 8 units with a maximum of 4 units per quarter.
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MAT 691 - Directed Study (1)
Individual reading program in an area chosen by the student under the direction and supervision of the faculty. Students must obtain the written permission of the graduate coordinator in order to register for this course. Unconditional standing required.
Repeatable: May be repeated for credit, with a maximum of 4 units applied to degree.
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MAT 696 - Master’s Degree Thesis (1)
Independent research and study under supervision of a faculty advisor. Research results must be reported in an acceptable form. Students must obtain the written permission of the graduate coordinator in order to register for this course. Advancement to Candidacy required.
Repeatable: May be repeated for credit, with a maximum of 3 units applied to degree.
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MAT 697 - Comprehensive Examination (1)
Credit/no Credit Preparation for the comprehensive examination. Students must obtain the written permission of the graduate coordinator in order to register for this course. Failure to complete exam satisfactorily the second time will result in termination from the program. Only applicable with Pure Math and Applied Math subplans. Advancement to Candidacy required.
Repeatable: May be taken no more than twice.
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MAT 699 - Master’s Degree Continuation (0)
Enrollment in this course allows candidates that have enrolled in the maximum number of thesis or project units to maintain resident status in order to receive university services. Approval of graduate coordinator is required to register for this class. Advancement to candidacy is required.
Grading: Mandatory credit/no credit grading basis.
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Mechanical Engineering Lecture and laboratory courses listed together are to be taken concurrently.
For graduation, a grade of C- or better is required for all ME courses that are prerequisites to other ME courses.
Unless otherwise noted, all ME classes are open only to ME majors. |
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ME 100L - Mechanical Engineering Orientation (1)
Introduction to the resources and facilities of the mechanical engineering department. An overview of career opportunities and introspection about mechanical engineering. Various forms of engineering communication including report writing, graphical presentations and problem-solving format. Becoming conversant with unit systems and dimensional analysis. Introduction to engineering design.
Corequisite(s): MAT 105 .
Component(s): 1 three-hour laboratory.
Grading: The course will be graded based on homework assignments, reports, midterm and final exams.
When Offered: FALL and WINTER each year.
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ME 214 - Vector Statics (3)
Two and three dimensional equilibrium of particles and rigid bodies including frames, machine and trusses employing vector algebra. Principles of friction, centroids and center of gravity, moments of inertia for areas.
Prerequisite(s): ARO, CE, CME, IE, ME, or MFE major; C or better in MAT 115 ; and C- or better in PHY 131 .
Corequisite(s): (for ME majors only) ME 224L .
Component(s): 3 lectures/problem-solving.
Grading: Grades will be based on homework, midterms, quizzes and final exams.
When Offered: FALL, WINTER and SPRING each year.
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ME 215 - Vector Dynamics (4)
Vector mathematics of absolute and relative motion of particles and the planar motion of rigid bodies in an inertial reference frame. Newton’s laws of motion, work-energy, impulse-momentum, mass moment of inertia.
Prerequisite(s): ARO, CE, ME, or MFE major, C or better in MAT 116 , and C- or better in ME 214 .
Component(s): 4 lectures/problem-solving.
Grading: Grades will be based on homework, quizzes, midterm and final exams.
When Offered: FALL, WINTER and SPRING each year.
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