Sep 27, 2024  
2018-2019 University Catalog 
    
2018-2019 University Catalog [ARCHIVED CATALOG]

Index of Courses


 

Mathematic Education

  
  • MAE 6990 - 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.

    Component(s): Supervisory
    Grading Basis: Credit/No Credit
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: Unlimited

Mathematics

F and Sp notations indicate the semester(s) each course is normally offered. Unless otherwise specified, the course is offered this year during the indicated semester(s).

**UPDATE**: Prerequisite requirements were updated 08/16/2018 to include a grade of C or better.

  
  • MAT 1050 - College Algebra (3)


    The theory and applications of real-valued functions, domain and range, compositions, inverses, transformations, equations and inequalities, and absolute value. Emphasis on polynomials, rational functions, power and root functions, piecewise functions, logarithms and exponential functions. Both symbolic and graphical representations of functions. Use of graphing devices to support reasoning about functions.

    Prerequisite(s): CO Category I, CO Category II, CO Category III, SAT >=570, MDTP >=14, MAT 1060 , MAT 106, MAT 1250 , MAT 125, MAT 1910 , MAT 191, STA 1200 , STA 120, ALEKS>=46, ACT>=23, MAT 12, or ESM 12.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): This course was retroactively approved by President Coley to satisfy GE Subarea B4, Dec 6, 2019, Presidential Memo: Response to Senate Report AS-2861-190-GE MAT 1050 - College Algebra (GE Sub-Area B4) and AS-2862-190-GE MAT 1052 - College Algebra Stretch II (GE Sub-Area B4).
  
  • MAT 1051 - College Algebra Stretch I (3)


    This is the first of a two-course stretch sequence in College Algebra.  The theory and application of real-valued functions, domain and range, compositions, inverses, transformation, and equations. Emphasis on polynomial, rational, radical and exponential functions.  Both symbolic and graphical representations.  Use of graphing devices to support reasoning about functions.

    Corequisite(s): MAT 1051A .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): Required for students in GE Math Category IV in STEM fields, recommended for students in GE Math Category III.
  
  • MAT 1051A - College Algebra Stretch I Activity (1)


    An activity course to support and provide practice and hands-on activities for MAT 1051, College Algebra Stretch I.

    Corequisite(s): MAT 1051 .
    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: Unlimited
  
  • MAT 1052 - College Algebra Stretch II (3)


    This is the second of a two course sequence in College Algebra.

    The theory and applications of real-valued functions.  Graphing and solving equations with exponential and logarithmic functions.  Equations and inequalities, including polynomial and absolutely value inequalities. Systems of equations, both linear and nonlinear.  Symbolic and graphical representations of functions.  Use of graphing devices to support reasoning about functions.

    Prerequisite(s): C or better in MAT 1051 .
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): This course was retroactively approved by President Coley to satisfy GE Subarea B4, Dec 6, 2019, Presidential Memo: Response to Senate Report AS-2861-190-GE MAT 1050 - College Algebra (GE Sub-Area B4) and AS-2862-190-GE MAT 1052 - College Algebra Stretch II (GE Sub-Area B4).

  
  • MAT 1060 - Trigonometry (3)


    Right triangle trigonometry, the unit circle, trigonometric and inverse trigonometric functions, trigonometric identities, equations, graphs, Law of Sines and Law of Cosines, applications of trigonometry, complex numbers and DeMoivre’s Formula. Applications of trigonometry to solve problems.

    Prerequisite(s): CO Category I or CO Category II or CO Category III or STA 2100 , STA 2260 , STA 341, or STA 326 or ALEKS >=46 or ACT >=23 or IRW passed Level 2 or MAT 12 or ESM=CR.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1140 - Calculus I (4)


    Functions, limits, continuity, derivatives of all functions including trigonometric, exponential, logarithmic, inverse trigonometric, and implicit functions. Applications of derivatives, including max/min problems and L’Hopitals rule. Definite and Indefinite Integrals, The Fundamental Theorem of Calculus, substitution rule and applications.

    Prerequisite(s):  C or better in MAT 1050  and MAT 1060 , or appropriate score on MDTP or ALEKS placement test.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1140A - Supplemental Instruction for Calculus Activity (1)


    Provides supplemental instruction for students concurrently enrolled in MAT 1140.

    Corequisite(s): MAT 1140 .
    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1150 - Calculus II (4)


    Integration techniques including integration by parts, integrals of trigonometric products, partial fractions, substitution and trigonometric substitution. Hyperbolic functions. Improper Integrals, sequences and series, polar coordinates, parametric equations and conic sections.

    Prerequisite(s): MAT 1140 , MAT 115B, MAT 1140C, AP Calc AB >=3, or AP Calc BC >=3.
    GE Area(s): B4
    Component(s): Lecture
    Contact Hour(s): 4 hours lecture/problem solving.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1200 - Calculus for Life Sciences (3)


    Concepts of functions and the idea of change. Review of algebraic, rational, exponential, and logarithmic functions. Graphing, limits, derivatives, differentials, and integrals of single variable functions listed above. Optimization problems and the Fundamental Theorem of Calculus. Brief introduction to functions of several variables. Special emphasis is given to applications in life sciences.

    Prerequisite(s):  MAT 105; MAT 1050 ; MAT 1052 ; MDTP Alg >=18 and MDTP Trig >=6; MDTP Alg >=22; or ALEKS Comp >=61.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1250 - Introductory Calculus for Business (3)


    Graphing and functions including exponentials and logarithms, derivatives and basic differentiation rules, curve sketching, anti-derivatives, integration, and the Fundamental Theorem of Calculus. A special emphasis is placed on business applications such as break-even analysis, supply and demand, optimization, average cost, marginal analysis, and consumer-producer surplus.

    Prerequisite(s): CO Category 1 or CO Category II or CO Category III or SAT >=570, MDTP >=14, MAT 12, ESM 12, MAT 1910, MAT 191, STA 1200 , STA 120, MAT 1050 , MAT 1060 , MAT 105, MAT 106, MAT 1051 , ALEKS >=46, or ACT >=23.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1300 - Technical Calculus I (4)


    Differential and integral calculus of polynomial, rational, trigonometric, logarithmic and exponential functions, with applications of the derivative and the integral.

    Prerequisite(s): MAT 105 or MAT 1050  & MAT 106 or MAT 1060 ; MAT 1052  & MAT 106 or MAT 1060 ; MAT 105,M-T>=4,& M-A>=18;105,T>=6,&A>=14;1050,T>=4,& A>=18;1050,T>=6,& A>=14;1052,T>=4,&A>=18;1052,T>=6,& A>=14;106&A>=22;1060 & A>=22;A>=22&T>=4;A>=18&T>= 6;105,A-Trig>=23,&A-C>=61;or 1050,A-T>=23,&A-Comp>=61.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1310 - Technical Calculus II (4)


    Infinite series, an introduction to ordinary differential equations and Laplace transforms.

    Prerequisite(s): MAT 116, MAT 1150 , MAT 1300 , or MAT 1300B.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1900 - Quantitative Reasoning and Problem-Solving (3)


    This course aims to develop problem solving skills and critical thinking through varied problem situations. Each situation will allow the exploration of mathematical content, including: decimals, percents, fractions, multiplicative reasoning, algebraic symbolism, functions and their representations, sequences and statistical measures.  This course is designed for students who intend to enroll in MAT 1910 or MAT 1940.

    Corequisite(s): MAT 1900A .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): Required for students in Category IV.

  
  • MAT 1900A - Quantitative Reasoning and Problem-Solving Activity (1)


    An activity course to support and provide practice and hands-on activities for MAT 1900.

    Corequisite(s): MAT 1900 .
    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1910 - Survey of Mathematics (3)


    Modern applications of mathematics. Selected topics from: voting and social choice, fairness and game theory, money management, cryptography, symmetry and patterns, applications to art and music, logic and puzzles, etc.

    Prerequisite(s): CO Category I or CO Category II or CO Category III or SAT >=570, MDTP >=14, MAT 12, ESM 12,  MAT 1940 , MAT 194, STA 1200 , STA 120, MAT 1050 , MAT 1060 , MAT 105, MAT 106, MAT 1051 , ALEKS >=46, or ACT >=23.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 1940 - Mathematical Concepts for Elementary School Teachers (4)


    Deep analysis of the Number and Quantity Domain of the Common Core Standards in Mathematics for K-8 students. Deep understanding of numbers systems, the operations among them, their meaning and different algorithms that can be used. Identification of the conceptual foundation for these algorithms. Modeling of the Standards of Mathematical Practice. Emphasis on the use of different representations and different models for mathematical ideas. Discussion of the role of precise language and notation in the development of mathematical thinking. Analysis of different ways of argumentation in mathematics. This course has a field work component.

    Prerequisite(s): CO Category I or CO Category II or CO Category III or SAT >=570 , MDTP >=14, MAT 12, ESM 12, MAT 1910 , MAT 191, STA 1200 , STA 120, MAT 1050 , MAT 1060 , MAT 105, MAT 106, MAT 1051 , ALEKS >=46, or ACT >=23.
    GE Area(s): B4
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): This course has a field work component.
  
  • MAT 2000 - Special Study for Lower Division Students (1-3)


    Individual or group investigation, research, studies, or surveys of selected problems. Proposals to be initiated by student(s) with guidance from faculty. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • MAT 2010 - Introduction to Computational Methods in Mathematics (2)


    An introduction to problem solving using computational tools. Problems will be drawn from a variety of modern topics in mathematics including calculus, algebra, combinatorics, number theory, probability, and statistics. Includes discussion on how numbers are represented on a computer and the numerical error introduced.

    Prerequisite(s): MAT 116 or MAT 1150 .
    Corequisite(s): MAT 2010L .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 2010L - Introduction to Computational Methods in Mathematics Laboratory (1)


    A hands-on introduction to problem solving using computational tools. Problems will be drawn from a variety of modern topics in mathematics including calculus, algebra, combinatorics, number theory, probability, and statistics. Software will be implemented in a programming language such as MATLAB, python, or similar imperative language.

    Corequisite(s): MAT 2010 .
    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 2140 - Calculus III (4)


    Introduction to vectors, dot product, cross product, equations of lines and planes, calculus of vector valued functions, introduction to multivariable functions, differential calculus of multivariable functions, the chain rule, applications including extreme problems and Lagrange multipliers, integral calculus of multivariable functions, double and triple integrals, applications of double and triple integrals, line and surface integrals of vector fields, Green’s Theorem, the Divergence Theorem, Stokes’ Theorem.

    Prerequisite(s): MAT 116, MAT 214, MAT 1150 , or MAT 1150C.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 2240 - Elementary Linear Algebra and Differential Equations (3)


    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): MAT 116, MAT 1150 , or MAT 1150C.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 2250 - Linear Algebra with Applications to Differential Equations (4)


    Systems of linear equations, Gaussian elimination, matrices and determinants, vector spaces, basis, dimension, linear transformations, rank-nullity, matrix representation and change of basis, eigenvalues and eigenvectors, diagonalization, first order DE’s, constant coefficient linear DE’s, harmonic oscillations, systems of linear 1st order DE, series solutions.

    Prerequisite(s): MAT 116, MAT 1150 , or MAT 1150C.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 2990 - Special Topics for Lower Division Students (1-3)


    Group study of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Lecture, Seminar
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 2990A - Special Topics for Lower Division Students Activity (1-3)


    Group study of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 2990L - Special Topics for Lower Division Students Laboratory (1-3)


    Group study of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 3060 - History of Mathematics (3)


    Topics related to the chronological and topical developments of mathematics, with an emphasis on topics common to secondary mathematics. The development of numeration systems (Egyptian, Babylonia, Mayan, Greek, and Hindu-Arabic Numerals) and their computational algorithms; Geometry (with an emphasis on classical Euclidean geometry); Algebra (Cardano’s solution to the cubic, Descartes’ linking of algebra and geometry), Trigonometry (Mathematics in the Arab world) and ‘The Calculus’ (Contributions of Eudoxus, Archimedes, Newton and Leibniz). Specific topics within historical strands include: zero; logarithms; e, pi, and functions.

    Prerequisite(s): MAT 215 or MAT 2140 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3100 - Introduction to Mathematical Proof (4)


    An introduction to upper division mathematics, the reading and writing of proofs, and the fundamentals of abstract mathematics. Methods of proof include direct and indirect proofs and proof by induction. Propositional logic and quantifiers. Mathematical topics to be covered include integers, rational and real numbers, sets, relations, functions, and cardinality.

    Prerequisite(s): MAT 116 or MAT 1150 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3140 - Introduction to Real Analysis I (4)


    Axioms of the real numbers; sequences and convergence; limits of sequences and functions; continuity and uniform continuity of functions; open, closed, and compact subsets of the real numbers; differentiation; Extreme Value Theorem; Mean Value Theorem; Riemann’s theory of integration; the Fundamental Theorems of Calculus; infinite series.

    Prerequisite(s): MAT 310 or MAT 3100 ; and MAT 215 or MAT 2140 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3150 - Introduction to Real Analysis II (3)


    Sequences and series of functions, uniform convergence; calculus of functions defined by series and integrals, with emphasis on power series; limits and continuity of functions of several variables; the derivative as a linear transformation; the Inverse and Implicit Function Theorems.

    Prerequisite(s): MAT 315 or MAT 3140 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3170 - Laplace Transforms and Fourier Series (2)


    Introduction to Fourier Series and Integrals with applications. Elementary theory of Laplace transformation with applications including the solution of differential equations.

    Prerequisite(s): MAT 216, MAT 224, MAT 2240 , or MAT 2250 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3180 - Mathematical Analysis of Engineering Problems (2)


    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): MAT 215 or MAT 2140 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3250 - Introduction to Number Theory (3)


    Fundamentals of the system of integers, Pythagorean triples, Diophantine equations, fundamental theorem of arithmetic, congruences, Fermat’s little theorem and Euler’s formula, arithmetic functions, power residues, primitive roots and indices, prime numbers and their distribution, and advanced topics such as quadratic reciprocity, Lagrange’s four square theorem.

    Prerequisite(s): MAT 310 or MAT 3100 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3300 - Modern Euclidean Geometry (4)


    Axiomatic development of Euclidean and neutral geometries. Geometry of the triangle, circle and polygons. Constructions with classical tools and with dynamic software. Introduction to deductive reasoning and techniques of proof, including loci. Transformational approach to geometry.

    Prerequisite(s): Sophomore Standing.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3310 - Modern Geometry (3)


    Inversions of the Euclidean plane. Classic theorems of geometry. Euclidean geometry in 3D. Introduction to projective geometry. Introduction to non-Euclidean geometry with emphasis on the hyperbolic case.

    Prerequisite(s): MAT 330 or MAT 3300 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3470 - Combinatorics (3)


    Basic counting techniques. Generating functions and their applications. Recurrence relations. Principle of inclusion-exclusion. Other topics selected from: Polya theory of counting, Coding theory, Matching algorithms.

    Prerequisite(s): MAT 208 or MAT 2250 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3800 - Mathematics of Operations Research I (3)


    Introduction to the mathematics of linear programming and the Simplex Method. Mathematical modeling of linear programming problems. The Revised Simplex Method. Duality theory and sensitivity analysis. The Dual Simplex Method, parametric programming, and the upper bound technique. Introduction to interior point algorithms.

    Prerequisite(s): MAT 208 or MAT 2250 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3810 - Mathematics of Operations Research II (3)


    Transportation and assignment problems. Network problems: shortest path, minimum spanning tree, maximum flow. The Network Simplex method. Introduction to PERT-CPM techniques. Introduction to dynamic programming. Integer programming. Nonlinear programming: Kuhn-Tucker conditions. Introduction to quadratic, separable, and convex programming. Introduction to game theory, Markov Chains, and queueing theory.

    Prerequisite(s):  MAT 380 or MAT 3800 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3940 - Mathematical Concepts for Elementary School Teachers: Algebraic and Statistical Reasoning (4)


    Deep consideration of the Operations and Algebraic Thinking as well as the Data Analysis Domain of the Common Core Standards in Mathematics for K-8 students. Representation and interpretation of data; summary and description of variability. Analysis and description of patterns and relationships, Writing and interpretation of numerical and algebraic expressions. ratios and proportional reasoning, Probability. Familiarity with the idea of function in different modalities: table, graph, symbolic, verbal. Modeling of the Standards of Mathematical practice. Emphasis on the use of different representations and different models for mathematical idea. Discussion of the role of precise language and notation in the development of mathematical thinking. Analysis of different ways of argumentation in mathematics. This course has a field work component.

    Prerequisite(s): MAT 194 or MAT 1940 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 3950 - Mathematical Concepts for Elementary School Teachers: Geometry (3)


    Deep consideration of the Measurement and Geometry domains of the Common Core Standards in Mathematics for K-8 students. Reason with 2-D and 3-D shapes and their attributes. Understanding of the progression of the geometric topics and the coherence of the definitions. Measurement and deductive reasoning as complementary paths to develop geometric ideas. Emphasis on conceptual understanding and not formulas. Develop a foundation for understanding area, volume, congruence, similarity, and symmetry. Transformations of the plane and the interconnection between algebra and geometry. Modeling of the Standards of Mathematical practice. Emphasis on the use of different representations and different models for mathematical idea. Discussion of the role of precise language and notation in the development of mathematical thinking. Analysis of different ways of argumentation in mathematics. This course has a field work component

    Prerequisite(s): MAT 394 or MAT 3940 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): This course has a field work component
  
  • MAT 4000 - Special Study for Upper Division Students (1-3)


    Individual or group investigation, research, studies, or surveys of selected problems at advanced level. Proposals to be initiated by student(s) with guidance from faculty. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • MAT 4010 - Introduction to Numerical Analysis I (3)


    Theoretical error and machine error associated with algorithms. Approximation of solution of non-linear equations, systems of linear equations, systems of non-linear equations, and eigenvalue/eigenvector problems.

    Prerequisite(s): MAT 201 or MAT 2010 ; and MAT 208 or MAT 2250 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4020 - Introduction to Numerical Analysis II (3)


    Polynomial interpolation, cubic splines, numerical differentiation and integration, numerical solutions of differential equations including Runge-Kutta and predictor-corrector methods for solving initial value problems.

    Prerequisite(s): MAT 401 or MAT 4010 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4170 - Introduction to Abstract Algebra I (4)


    Introduction to algebraic structures, groups, rings, and fields; permutation groups, cyclic groups, homomorphisms and isomorphisms, quotient groups, polynomial rings.

    Prerequisite(s): MAT 310 or MAT 3100 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4180 - Introduction to Abstract Algebra II (3)


    Continuation of the study of algebraic structures, groups, rings, and fields; ring homomorphisms and isomorphisms, ideals, quotient rings, construction of field of quotients; field extensions.

    Prerequisite(s): MAT 418 or MAT 4170 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4190 - Advanced Linear Algebra (4)


    The fields of real and complex numbers, vector spaces over general fields, subspaces, span and linear independence, bases and dimension, existence of bases, linear coordinates, linear transformations and matrix representations, isomorphism and change of basis, diagonalizability, inner product spaces, the Gram-Schmidt process, unitary operators and orthogonality, normal operators, self-adjoint operators, and the spectral theorem, Jordan canonical form.

    Prerequisite(s): MAT 208 or MAT 2250 ; and MAT 310 or MAT 3100 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4200 - Differential Geometry (3)


    Local curve theory (Frenet-Serret Frame, Fundamental Theorem for Curves), local surface theory (Gauss Map, Principal, Gaussian, Mean, and Normal curvatures, Gauss’s Theorema Egregium), Gauss-Bonnet Theorem.

    Prerequisite(s): MAT 208 or MAT 2250 ; and MAT 310 or MAT 3100 ; and MAT 216.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4210 - Introduction to Topology (3)


    Metric spaces, general topological spaces, continuity, subspaces, product topology, quotient topology, compactness, and connectedness.

    Prerequisite(s):  MAT 314 or MAT 3140 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4280 - Functions of a Complex Variable (4)


    Algebra, geometry, and topology of complex numbers; limits of complex functions, complex functions as mappings, continuity; multivalued functions and branches; complex differentiability and analyticity, harmonic functions; differentiation of power series functions; definition and properties of the elementary functions; contour integration and the Cauchy integral theorems; the maximum modulus principle; Taylor and Laurent series; the residue theorem; conformal mapping; the argument principle; applications to problems in mathematics, physics, and engineering at the discretion of the instructor.

    Prerequisite(s): MAT 3140  and MAT 2140 ; MAT 314 and MAT 2140 ; MAT 3140  and MAT 215; or MAT 314 and MAT 215.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4310 - Differential Equations (3)


    Theory of ordinary differential equations. Fundamental existence and uniqueness theorems for initial and boundary value problems, linear systems, regular singular points, eigenvalue problems, Sturm-Liouville theory, second-order elliptic equations, parabolic and hyperbolic equations, boundary value problems for elliptic equations, initial/ boundary value problems for hyperbolic and parabolic equations.

    Prerequisite(s): MAT 2250  or MAT 216 and MAT 208.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4320 - Differential Equations and Dynamical Systems (3)


    Stability and qualitative behavior of systems of linear and non-linear differential equations. Bifurcations in one and two dimensions. The Poincare-Bendixson theorem. An introduction to discrete dynamical systems and chaos. An introduction to first-order non-linear partial differential equations with applications.

    Prerequisite(s): MAT 431 or MAT 4310 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4410 - Internship in Mathematics (1-2)


    On-the-job training and work experience in mathematics and statistics under the guidance of a faculty internship coordinator and on-site job supervisor. The internship is arranged by the student and may not be a continuation of an ongoing job or volunteer experience. A minimum of 4 hours per week (60 hours/semester) per unit credit. May be taken up to two times for a total credit of 4 units.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: 2
  
  • MAT 4440 - Vector and Tensor Analysis (3)


    An integrated course in the algebra, geometry, and calculus of vectors and tensors; topics in differential geometry; applications to mechanics of deformable media, hydrodynamics, and general relativity.

    Prerequisite(s): MAT 2140  and MAT 2250 ; MAT 2140 , MAT 208, and MAT 216; MAT 215 and MAT 2250 ; MAT 215, MAT 208, and MAT 216; MAT 2140  and MAT 2240 ; or MAT 215 and MAT 2240 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4610 - Senior Project I (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.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4620 - Senior Project II (2)


    Continuation of a project under faculty supervision or selection and completion of a new 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.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4630 - Undergraduate Seminar (1)


    Presentations by students on new developments in mathematics including those from projects and independent study.

    Component(s): Seminar
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4750 - Graph Theory (3)


    An introduction to graph theory and its applications. Topics include trees, Eulerian and Hamiltonian graphs, connectivity, planarity, colorings, scheduling.

    Prerequisite(s): MAT 310 or MAT 3100 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4800 - Mathematical Programming (3)


    Theoretical presentation of the basic principles of linear programming, duality, algorithms and applications. Development of the theory of nonlinear programming, algorithms and applications.

    Prerequisite(s): MAT 201 or MAT 2010 ; and MAT 380 or MAT 3800 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4850 - Introduction to Mathematical Modeling I (3)


    Introduction to general principles of mathematical modeling using discrete and continuous models. Deterministic difference and differential equation models will be highlighted. Applications include population dynamics, traffic modeling, and mechanical systems

    Prerequisite(s): MAT 2010 , MAT 2250 ,& STA 2200 ; MAT 2010 , MAT 2250 ,& STA 241; MAT 2010 , MAT 216, STA 2200 , & MAT 208; MAT 2010 , MAT 216, STA 241, & MAT 208; MAT 201, MAT 2250 , & STA 2200 ; MAT 201, MAT 2250 , & STA 241; MAT 201, MAT 216, STA 2200 , & MAT 208; or MAT 201, MAT 216, STA 241, & MAT 208.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4860 - Introduction to Mathematical Modeling II (3)


    Introduction to general principles of mathematical modeling using stochastic models. Discrete stochastic models and Markov chains will be highlighted. Applications include economics, population dynamics, and biological systems.

    Prerequisite(s): MAT 4850 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4950 - Teaching Mathematics in Secondary Schools I (4)


    Deep analysis of middle school mathematics curriculum from an advanced viewpoint, focused on the real number system. Creation of robust connections among the different topics, emphasizing their structure. Emphasizes both algebraic and geometric reasoning. Discussion of the role of precise language and notation in the development of mathematical thinking. This course has a field work component.

    Prerequisite(s): MAT 3300  & MAT 3250 , MAT 3300  & MAT 3140 , MAT 3300  & MAT 4170 , MAT 3250  & MAT 3140 , MAT 3250  & MAT 4170 , MAT 3140  & MAT 4170 , MAT 330 & MAT 3250 , MAT 330 & MAT 3140 , MAT 325 & MAT 3140 , MAT 325 & MAT 4170 , MAT 314 & MAT 4170 , MAT 3300  & MAT 325, MAT 3300  & MAT 314, MAT 3300  & MAT 417, MAT 3250  & MAT 314, MAT 3250  & MAT 417, MAT 3140  & MAT 417, MAT 330 & MAT 325, MAT 330 & MAT 314, MAT 330 & MAT 417, MAT 325 & MAT 314, MAT 325 & MAT 417, or MAT 314 & MAT 417.
    Component(s): Lecture
    Grading Basis: Credit/No Credit
    Repeat for Credit: May be taken only once
  
  • MAT 4960 - Teaching Mathematics in Secondary Schools II (4)


    Deep analysis of high school mathematics curriculum from an advanced viewpoint, including formal geometry, trigonometry, vectors, and complex numbers. Creation of robust connections among the different topics, emphasizing their structure. Emphasis on the use of different representations of a mathematical idea. Discussion of the role of precise language and notation in the development of mathematical thinking. Analysis of different ways of argumentation in mathematics. This course has a field work component.

    Prerequisite(s): CR in MAT 4950 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 4990 - Special Topics for Upper Division Students (1-3)


    Group study at an advanced level of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Lecture, Seminar
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 4990A - Special Topics for Upper Division Students Activity (1-3)


    Group study at an advanced level of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 4990L - Special Topics for Upper Division Students Laboratory (1-3)


    Group study at an advanced level of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 5000 - Special Study for Graduate Students (1-3)


    Individual or group investigation, research, studies, or surveys of selected problems at graduate level. Proposals to be initiated by student(s) with guidance from faculty. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • MAT 5010 - Introduction to Mathematical Typesetting (1)


    Introduction to the use of LaTeX or other typesetting language for mathematics, with a particular emphasis on document preparation for instructional materials, articles, presentations, and Master’s theses.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5080 - Numerical Analysis I (3)


    Direct and iterative methods to solve linear systems of equations. Matrix splitting, inversions, eigenvalues and eigenvectors. Numerical solutions of non-linear equations. Rates of convergence and techniques to reduce error propagation.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5090 - Numerical Analysis II (3)


    Interpolation and approximation of functions, including Fourier and fast Fourier methods. Numerical differentiation and integration. Numerical solutions of ordinary differential equations. Error propagation and convergence rates of the different methods.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5110 - Real Analysis I (4)


    Lebesgue measure and integration, Borel sets, monotone functions and functions of bounded variation, L^p spaces, measure spaces and measurable functions, the Radon-Nikodym theorem, the Fubini theorems, applications.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5120 - Real Analysis II (3)


    Metric spaces, an introduction to functional analysis and classical Banach spaces, completeness, and approximation. Further topics in measure theory or functional analysis such as duality or Hilbert spaces as determined by the instructor.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5170 - Abstract Algebra I (3)


    Groups, quotient groups, isomorphism theorems, composition series, solvable groups, group actions, Sylow theorems, rings, ideals, ring homomorphisms and quotient rings, prime and maximal ideals, principal ideal rings, euclidean domains, unique factorization domains.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5180 - Abstract Algebra II (3)


    Polynomial rings, field extensions, and advanced topics in ring/field theory such as module theory and Galois theory.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5210 - Topology (3)


    A brief review of point-set topology and introduction to homotopy, the fundamental group, and covering spaces. Classification of surfaces, manifolds, simplicial homology, and knot theory.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5280 - Complex Analysis I (3)


    The Cauchy-Goursat theorem; Cauchy’s integral theorems and consequences; regularity of analytic functions; sequences and series of analytic functions; analytic functions defined by integrals; meromorphic functions and the logarithm; singularities, poles, and the residue theorem; analytic continuation; the Fourier transform and the Paley-Wiener theorem; conformal mappings, normal families, and the Riemann mapping theorem.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5290 - Complex Analysis II (3)


    Entire functions, Weierstrass infinite products, Hadamard factorization; the Gamma and Zeta functions; elliptic functions; selected topics such as the prime number theorem, Riemann surfaces and and uniformization, the Dirichlet problem, advanced applications to problems in engineering and physics.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5450 - Mathematical Modeling I (3)


    Modeling of deterministic systems using ordinary and partial differential equations. Fixed points, bifurcations and stability of solutions. General modeling principles and techniques. Perturbation theory and sensitivity analysis. Case studies.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5460 - Mathematical Modeling II (3)


    Modeling of discrete time systems. Fixed points, bifurcations and stability of solutions. Cellular automata, stochastic models, parameter estimation. Case studies.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5800 - Optimization Theory and Applications (3)


    Topics include convex sets, convex functions, extrema of functions, optimality conditions and duality, algorithms and applications to large scale mathematical programming problems.

    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • MAT 5990 - Special Topics for Graduate Students (1-3)


    Group study at a graduate level of a selected well-defined topic or area not covered by a regularly offered course.

    Prerequisite(s): Graduate Standing.
    Component(s): Lecture, Seminar
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 5990A - Special Topics for Graduate Students Activity (1-3)


    Group study at a graduate level of a selected well-defined topic or area not covered by a regularly offered course.

    Prerequisite(s): Graduate Standing.
    Component(s): Activity
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 5990L - Special Topics for Graduate Students Laboratory (1-3)


    Group study at a graduate level of a selected well-defined topic or area not covered by a regularly offered course.

    Prerequisite(s): Graduate Standing.
    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
  
  • MAT 6910 - Directed Research (1-3)


    Individual research in a specialized area, under the direction of a graduate faculty member; work does not pertain directly to the thesis. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • MAT 6920 - Independent Research (1-3)


    Individual study/investigation and research in a specialized area proposed by the student with the approval, and under the supervision, of a graduate faculty member; work does not pertain directly to the thesis. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • MAT 6960 - Master’s Degree Thesis (1)


    Independent research and study under supervision of a faculty advisor. Research results must be reported in an acceptable form. May be taken up to three times for a total credit of 3 units.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: 3
  
  • MAT 6970 - Comprehensive Examination (1)


    Preparation for the comprehensive examination. Failure to complete exam satisfactorily the second time will result in termination from the program. Not applicable for students in the Mathematics Education emphasis. May be taken up to two times for a total credit of 2 units.

    Component(s): Supervisory
    Grading Basis: Credit/No Credit
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: 2
  
  • MAT 6990 - 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.

    Component(s): Supervisory
    Grading Basis: Credit/No Credit
    Repeat for Credit: May be taken multiple times
    Repeat for Credit Limit: Unlimited

Mechanical Engineering

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.

  
  • ME 1001L - Engineering Graphics and Visualization Laboratory (1)


    Engineering graphics & visualization for product design & manufacturing. Drafting methods & techniques including multiview orthographic projection, isometrics and pictorials, sections & auxiliary views, dimensioning and tolerancing. Drafting and sketching using instruments and CAD.

    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 1101 - Computer-Aided Computations (1)


    Problems involving basic computational methods including elementary concepts of computer programming. Proficiency will be gained in writing computer programs to solve engineering problems. Assignments include the use of the computer facilities. 1 hour lecture/problem-solving.

    Prerequisite(s): ME Majors; C or better in MAT 114, MAT 115, MAT 116, MAT 214, MAT 215, MAT 216, MAT 224, MAT 1140 , MAT 1150 , MAT 2140 , or MAT 2240 .
    Corequisite(s): ME 1101L .
    Component(s): Lecture
    Contact Hour(s): 1 hour lecture/problem-solving.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
    Note(s): Assignments include the use of the computer facilities.
  
  • ME 1101L - Computer-Aided Computations Laboratory (1)


    ME 1101L Computer-Aided Computations (1)Problems involving basic computational methods including elementary concepts of computer programming. Proficiency will be gained in writing computer programs to solve engineering problems. Assignments include the use of the computer facilities. 1 three-hour laboratory.

    Prerequisite(s): ME Majors.
    Corequisite(s): ME 1101 .
    Component(s): Laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2000 - Special Study for Lower Division Students (1-3)


    Individual or group investigation, research, studies, or surveys of selected problems. Proposals to be initiated by student(s) with guidance from faculty. Total credit limited to 6 units, with a maximum of 3 units per semester.

    Component(s): Supervisory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units, with a maximum of 3 units per semester.
  
  • ME 2011 - Engineering Measurements (1)


    Analysis of the generalized measurement system with application of sensing, modifying and signal read-out equipment to problems of engineering measurements. Technical report writing, Statistical analysis, uncertainty analysis, least squares for curve fitting, basic sensor design principles (strain gages, load cell, thermocouples, etc.), computer-based data acquisition. 1 hour lecture/problem-solving.

    Component(s): Lecture
    Contact Hour(s): 1 hour lecture/problem solving.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2011L - Engineering Measurements Laboratory (1)


    Analysis of the generalized measurement system with application of sensing, modifying and signal read-out equipment to problems of engineering measurements. Technical report writing, Statistical analysis, uncertainty analysis, least squares for curve fitting, basic sensor design principles (strain gages, load cell, thermocouples, etc.), computer-based data acquisition. 1 three-hour laboratory.

    Component(s): Laboratory
    Contact Hour(s): 1 three-hour laboratory.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2141 - Vector Statics and Strength of Materials (3)


    Two and three dimensional equilibrium of particles and rigid bodies including frames, machines and trusses employing vector algebra. Principles of friction, centroids and centers of gravity, mass and area moments of inertia. Shear and moment diagrams for beams; definitions of stress and strain, Hook’s law and the stress strain diagram. Normal and shearing stresses and strains developed in axial, torsional and flexural loadings; stresses and strains in axial, torsional and flexural loading of composite members. 3 hours lecture/problem-solving.

    Prerequisite(s): ME Majors; C or better in GE Area A2; C or better in MAT 1140  or MAT 114; and C- or better in PHY 1510  or PHY 131.
    Component(s): Lecture
    Contact Hour(s): 3 hours lecture/problem-solving.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2150 - Vector Dynamics (3)


    Cross Listed as: ARO 2150
    Vector mathematics of absolute and relative motion of particles and the planar motion of rigid bodies in an inertial reference frame using Cartesian, Normal and Tangential and Polar Coordinate Systems; Newton’s laws of motion, work-energy, linear and angular impulse momentum, direct and oblique central impact.

    Prerequisite(s): C- or better in ME 2141  or C or better in ARO 2041 , CE 2041 , or ME 214; and C or better in MAT 1150  or MAT 116.
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2191 - Mechanics of Materials (3)


    Stress transformation and Mohr’s Circle; stress concentration; stresses in shafts during power transmission and shaft design; deflection and slope of beams by double integration, singularity functions, and superposition; statically indeterminate members under axial, torsional and bending loads; analysis of columns under centric and eccentric loading; combined axial, torsional, and flexural stresses.

    Prerequisite(s): ME Majors; and C- or better in ME 214 or ME 2141 .
    Component(s): Lecture
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2240L - Mechanics Laboratory (1)


    Supplementary course for statics provides additional practice in spatial visualization, free-body diagramming, vector manipulation, force transmission and distribution, force balances, force-moment equivalences, practice in recognizing and developing problem-solving techniques. 1 three hour laboratory.

    Prerequisite(s):  ME, ARO, CHE, CE, IE, or MFE Majors.
    Corequisite(s): ME 2141 .     
    Component(s): Laboratory
    Contact Hour(s): 1 3-hour laboratory
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2331 - Introduction to Design (2)


    Engineering design. Creativity techniques, design process, concept design and evaluation. Functional decomposition and design methodologies. Multi-disciplinary nature of design and sustainability. Mechanical advantage and power. Simple machines. Machine elements, electric motors, circuits, sensors and programming. Use of hand tools, caliper and multimeter. Soldering. Product design and prototyping. IP rights. 2 hours lectures/problem-solving.

    Prerequisite(s): ME Majors; C- or better in ME 100L or ME 1001L , or MFE 126 and MFE 126L; and C- or better in ME 214 or ME 2141 .
    Corequisite(s): ME 2331L .
    Component(s): Lecture
    Contact Hour(s): 2 hours lecture/problem-solving.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2331L - Introduction to Design Laboratory (1)


    Engineering design. Creativity techniques, design process, concept design & evaluation. Functional decomposition & design methodologies. Multi-disciplinary nature of design and sustainability. Mechanical advantage and power. Simple machines. Machine elements, electric motors, circuits, sensors & programming. Use of hand tools, caliper and multimeter. Soldering. Product design and prototyping. IP rights. 1 three-hour laboratory.

    Prerequisite(s): ME Majors; C- or better in ME 100L or ME 1001L , or MFE 126 and MFE 126L; and C- or better in ME 214 or ME 2141 .
    Corequisite(s): ME 2331 .      
    Component(s): Laboratory
    Contact Hour(s): 1 three-hour laboratory.
    Grading Basis: Graded Only
    Repeat for Credit: May be taken only once
  
  • ME 2990 - Special Topics for Lower Division Students (1-3)


    Group study of a selected well-defined topic or area not covered by a regularly offered course.

    Component(s): Lecture, Seminar
    Grading Basis: Graded Only
    Repeat for Credit: May be taken multiple times only with different topics
    Repeat for Credit Limit: 5
    Minimum/Maximum Units: Total credit limited to 6 units applicable to a degree, with a maximum of 2 sections per semester.
 

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