Lower Division Courses numbered 1–99 are designed primarily for freshmen and sophomores but are open to all students for lower division credit. (Graduate students requesting to enroll in lower-division undergraduate courses will not receive unit credit nor will the course fulfill degree requirements.) Upper Division Courses courses numbered 100–199 are open to all students who have met the necessary prerequisites as indicated in the catalog course description. Preparation should generally include completion of one lower division course in the given subject or completion of two years of college work.
GRADUATE COURSES
Courses numbered 200–299 are open to graduate students. (Undergraduate students must obtain the signature of the instructor, School Dean, and the Dean of Graduate Studies. Graduate level units will count towards the required 120 units for graduation; however students are urged to meet with their academic advisor in order to determine if graduate course units may be used to fulfill a graduation requirement.)
CROSS-LISTED/CONJOINED COURSES
Cross-listed Courses are the same course offered under different course subjects at the same level (either undergraduate or graduate) that share the same meeting time, requirements, units, etc. Conjoined Courses are the same course but one is undergraduate and one is graduate.
COREQUISITE COURSE
A corequisite course is a course that must be taken at the same time as another course.
PREREQUISITES
Prerequisites for courses should be followed carefully; the responsibility for meeting these requirements rests on the student. If you can demonstrate that your preparation is equivalent to that specified by the prerequisites, the instructor may waive these requirements for you. The instructor also may request that a student who has not completed the prerequisites be dropped from the course. If the prerequisite for a course is not satisfied, students must obtain the approval of the instructor (or school designee) of the course they wish to take.
For all undergraduate courses a “C-” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “P/NP” grade then a “P” grade is required.
For all graduate courses a “B” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “S/U” grade then a “S” grade is required.
WORLD LANGUAGES
No credit is allowed for completing a less advanced course after successful completion (C-or better) of a more advanced course in the world languages. This applies only to lower division world language courses, not upper division courses.
GRADING OPTIONS
Unless otherwise stated in the course description, each course is letter graded with a P/NP or S/U option (unless required for your major or graduate program). The policy regarding Grading Options, can be found in an alternate section of the catalog.
MATH 021: Calculus I for Physical Sciences and Engineering
Units: 4
An introduction to differential and integral calculus of functions of one variable. Elementary functions such as the exponential and the natural logarithm, rates of change and the derivative with applications to physical sciences and engineering.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Lower Division: Quantitative Reasoning
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 005 or equivalent exam Cannot also be taken due to similarity of content: MATH 011 Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Environmental Systems Science (Undergraduate) - ESY
Applied Mathematical Sciences (Undergraduate) - MATH
MATH 022: Calculus II for Physical Sciences and Engineering
Units: 4
Continuation of MATH 021. Analytical and numerical techniques of integration with applications, infinite sequences and series, first order ordinary differential equations.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 021 or equivalent exam Cannot also be taken due to similarity of content: MATH 012 Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Environmental Systems Science (Undergraduate) - ESY
Applied Mathematical Sciences (Undergraduate) - MATH
Calculus of several variables. Topics include parametric equations and polar coordinates, algebra and geometry of vectors and matrices, partial derivatives, multiple integrals, and introduction to the theorems of Green, Gauss, and Stokes.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Cannot also be taken due to similarity of content: MATH 023H Instructor Permission Required: No
Honors version of MATH 023. Topics cover vectors, calculus of multi-variable functions, coordinate systems, parametric curves and surfaces, and theorems of Green, Gauss and Stokes. Small class size and innovative pedagogical methods are adopted to help students develop a deep understanding of theories and a mastery of skills.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 022 with A- or better, or equivalent exam Cannot also be taken due to similarity of content: MATH 023 Instructor Permission Required: No
MATH 024: Linear Algebra and Differential Equations
Units: 4
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations and linear systems of differential equations.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Instructor Permission Required: No
Concepts of probability and statistics. Conditional probability, independence, random variables, distribution functions, descriptive statistics, transformations, sampling errors, confidence intervals, least squares and maximum likelihood. Exploratory data analysis and interactive computing.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Concurrent Prerequisites: MATH 023 or MATH 023H Instructor Permission Required: No
This half-semester minicourse introduces students to the writing, implementing, and testing of MATLAB algorithms to solve mathematical problems. Topics include programming syntax, data visualization, debugging, and coding aesthetics.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Instructor Permission Required: No
Introduction to a variety of concepts useful in applied mathematics. Topics covered included floating point arithmetic, methods of proofs, random walks, stereographic projections, transforms, etc. Students are exposed to advanced mathematical topics in preparation for their ongoing studies.
Course Details Repeatable for Credit: No Pass/No Pass only
Requisites and Restrictions Concurrent Prerequisites: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
Introduction to rigorous mathematical proofs and concepts pertaining to real numbers. The class will cover the structure of real numbers, sequences, series and functions of real numbers, and, time permitting, concepts of abstract algebra.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: MATH 023 or MATH 023H Instructor Permission Required: No
Introduction to complex variables, analytic functions, contour integration and theory of residues. Mappings of the complex plane. Introduction to mathematical analysis.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
An introduction of advanced solution techniques for ordinary differential equations (ODE) and elementary solution techniques for partial differential equations (PDE). Specific topics include higher-order linear ODE, power series methods, boundary value problems, Fourier series, Sturm-Liouville theory, Laplace transforms, Fourier transforms, and applications to one-dimensional PDE.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Approaches to Knowledge: Engineering Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
An introduction to the theory of boundary value and initial value problems for partial differential equations with emphasis on linear equations. Topics covered include Laplace’s equation, heat equation, wave equation, application of Sturm-Liouville’s theory, Green’s functions, Bessel functions, Laplace transform, method of characteristics.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: MATH 125 Instructor Permission Required: No
Introduction to numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: computer arithmetic, solution of nonlinear equations in one variable, interpolation and polynomial approximation, elements of approximation theory, numerical differentiation and integration, and introduction to initial-value problems for ordinary differential equations.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: ME 021 or (CSE 020 and CSE 021 or equivalent exam), and MATH 024 Cannot also be taken due to similarity of content: MATH 131 Open only to following major/minor(s):
Applied Mathematical Sciences (Undergraduate) - MATH
MATH 131: Numerical Methods for Scientists and Engineers
Units: 4
Introduction to numerical methods with emphasis on algorithm construction and implementation. Programming, round-off error, solutions of equations in one variable, interpolation and polynomial approximation, approximation theory, direct solvers for linear systems, numerical differentiation and integration, initial-value problems for ordinary differential equations.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Approaches to Knowledge: Engineering Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: MATH 024 and (ME 021 or (CSE 020 and CSE 021 or equivalent exam)) Cannot also be taken due to similarity of content: MATH 130 Not open to following major/minor(s):
Applied Mathematical Sciences (Undergraduate) - MATH
MATH 132: Numerical Methods for Differential Equations
Units: 4
Introduction to numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: Initial- and boundary-value problems for ordinary differential equations, methods to solve linear systems, eigenvalue problems, and numerical solutions to partial differential equations.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: MATH 125 and (MATH 130 or MATH 131) Instructor Permission Required: No
Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations and control theory. Matlab implementation of several algorithms.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Approaches to Knowledge: Engineering Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 and (CSE 021 or ME 021 or equivalent exam) Concurrent Prerequisites: MATH 130 or MATH 131 Instructor Permission Required: No
Applied linear analysis of finite dimensional vector spaces. Review of matrix algebra, vector spaces, orthogonality, least-squares approximations, eigenvalue problems, positive definite matrices, singular value decomposition with applications in science and engineering.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
Matrix factorization and iterative methods for solving systems of linear equations. Topics include floating point arithmetic, eigenvalue problems, conditioning and stability, LU factorization, QR factorization, and SVD with applications in science and engineering.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: ME 021 or (CSE 020 and CSE 021 or equivalent exam) Concurrent Prerequisites: MATH 141 or MATH 130 or MATH 131 Instructor Permission Required: No
Introduction to the basics of mathematical modeling emphasizing model construction, analysis and application. Using examples from a variety of fields such as physics, biology, chemistry and economics, students will learn how to develop and use mathematical models of real-world systems.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Upper Division: Culminating Experience
Approaches to Knowledge: Natural Science
Approaches to Knowledge: Engineering Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: (MATH 131 or MATH 130) and (MATH 125 or MATH 141) Instructor Permission Required: No
Introduction to the meta-theory of first-order logic. Topics include the consistency, compactness, completeness and soundness proofs for propositional and first-order logic; model theory; the axiomatization of number theory; Gödel’s incompleteness theorems and related results.
Course Details Repeatable for Credit: No Crosslisted with: PHIL 160 Normal Letter Grade with Pass/No Pass option
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Approaches to Knowledge: Social Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Requisites and Restrictions Prerequisite: PHIL 005 Instructor Permission Required: No
MATH 170: Quantitative Modeling of Biological Systems
Units: 4
Introduces the design and analysis of mathematical models of biological phenomena. The course focuses on three different classes of mathematical models: difference equations, ordinary differential equations and partial differential equations. Biological topics covered are expected to vary but likely include population dynamics, enzyme kinetics, biochemical networks, cellular processes, epidemiology and pattern formation.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Quantitative and Numerical Analysis
Badge: Scientific Method
Upper Division: Crossroads
Requisites and Restrictions Prerequisite: MATH 024 Instructor Permission Required: No
Introduction to modern applied statistics emphasizing computational methods to deal with high-dimensional data. Multivariate linear and nonlinear regression, model selection, overfitting, cross-validation, bootstrapping and quantification of uncertainty in model parameters and predictions, principal component analysis, and classification.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: MATH 024 and MATH 032 Instructor Permission Required: No
Introduction to stochastic processes with emphasis on problem-solving using both analytical and computational techniques. Markov chains in discrete and continuous time, martingales, branching processes, renewal processes, and Brownian motion.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Natural Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: MATH 024 and MATH 032 Instructor Permission Required: No
Students will be introduced to ‘scientific teaching’ - an approach to teaching science that uses many of the same skills applied in research. Topics will include how people learn, active learning, designing, organizing and facilitating teachable units, classroom management, diversity in the classroom and assessment design.
Course Details Repeatable for Credit: No Crosslisted with: PHYS 201 Satisfactory/Unsatisfactory only
Requisites and Restrictions Instructor Permission Required: No
MATH 221: Advanced Ordinary Differential Equations
Units: 4
Introduces advanced topics in the theory of ordinary differential equations (ODEs). This course emphasizes conceptual understanding and critical thinking. It will include simplified problems from physics and other disciplines to motivate certain topics.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Elements of the theory of PDEs. Topics include solving first order PDEs using the Method of Characteristics, determining the existence, uniqueness, and well-posedness of solution of PDEs, and solving linear second order PDEs using the methods of Separation of Variables and Fourier series for boundary value problems and Sturm-Liouville theory.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 Instructor Permission Required: No
Asymptotic evaluation of integrals, matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations to study boundary and shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 Instructor Permission Required: No
Basic real analysis (metric spaces, continuity, contraction mapping theorem), Banach spaces, Hilbert spaces, linear operators, bounded operators, compact operators, spectral theory, distributions, Fourier transforms, a priori estimates, energy estimates, existence/uniqueness theory, variational calculus, and applications of the above material to concrete problems in applied mathematics.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 and MATH 222 Instructor Permission Required: No
MATH 232: Numerical Solution of Differential Equations II
Units: 4
Fundamental methods are used as a base for discussing modern methods for solving partial-differential equations. Numerical methods include variational, finite element, collocation, spectral, and FFT. Error estimates and implementation issues are discussed.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 231 Instructor Permission Required: No
Theoretical and practical introduction to parallel scientific computing. Survey of hardware and software environments, and selected algorithms and applications. Topics include linear systems, N-body problems, FFTs, and methods for solving PDEs. Practical implementation and performance analysis are emphasized in the context of demonstrative applications in science and engineering.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 232 Instructor Permission Required: No
MATH 243: Interdisciplinary Computational Graduate Education
Units: 1
Focuses on teaching first-year graduate students from a variety of graduate programs skills in computational methods, programming languages, team science, project development, problem solving, social networking, and career preparation.
Course Details Repeatable for Credit: No Crosslisted with: CHEM 243, COGS 243, EECS 243, ME 243, PHYS 243, PSY 243, QSB 243 Laboratory included Normal Letter Grade with Satisfactory/Unsatisfactory option
Requisites and Restrictions Instructor Permission Required: Yes
Designed to increase the writing proficiency of graduate students, with a focus on strategies for reading critically, organizing and developing thoughts, choosing appropriate vocabulary, and generating and revising writing in a given scientific field. Topics address scientific disciplines. Projects may include writing abstracts, research reports, literature reviews, posters, and grant proposals.
Course Details Repeatable for Credit: No Crosslisted with: CHEM 270, PHYS 270, QSB 270 Normal Letter Grade with Satisfactory/Unsatisfactory option
Requisites and Restrictions Open only to following major/minor(s):
Under faculty supervision, group of students meets each week for a semester in a student-led study group to pursue a specific topic of their choice that is not covered in other department courses.
Course Details Repeatable for Credit: Yes Repeat Limit: Unlimited
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Centered on a student’s classroom experiences as a Teaching Assistant in an undergraduate Applied Mathematics course. Provides a faculty-directed opportunity to implement teaching practices presented in the course Teaching and Learning in the Sciences. Involves video-taping of teaching, peer review, and weekly meetings with faculty.
Course Details Repeatable for Credit: Yes Repeat Limit: 1
Discussion and Laboratory included Satisfactory/Unsatisfactory only
Requisites and Restrictions Instructor Permission Required: Yes
Introduction to Matlab and a line programming language including FORTRAN, PYTHON, and C++. Concepts of formatted input/output, data types, variables, arrays, strings, variable scopes, logic statements, loops, functions and subroutines, and data graphing. Computing examples are drawn from mechanical engineering topics including linear algebraic equations and root search.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Lower Division: Language
Approaches to Knowledge: Engineering Science
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Open only to the following class level(s):
Introduce the basic fundamentals of the finite element methods. Beginning with simple one-dimensional problem, continuing to two- and three-dimensional elements, and ending with some applications in heat transfer, solid mechanics and fluid mechanics. Covers modeling, mathematical formulation, computer implementation and engineering software.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
Introduction to the use of modern computational tools used for design and analysis. Primary focus will be on product design with solid modeling and finite-element analysis. Software used is representative of that found in industry. Topics such as 2-D and 3-D drawing, tolerance specification, and FEA validation are also covered.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Approaches to Knowledge: Engineering Science
Requisites and Restrictions Open only to the following class level(s):
ME 138: Introduction to Computational Fluid Dynamics
Units: 4
Exposes students to the theory behind computational techniques used in the study of fluid flows in natural and engineered systems. Provides a hands-on introduction to the various steps involved in obtaining a numerical solution for fluid flow problems.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 120 Open only to the following class level(s):
Dynamics of particles and rigid bodies. Vibration of discrete systems with finite degrees of freedom and continuous structures including beams and plates. Resonance, anti-resonance, damping, and modal coupling. Modal analysis. Proportional, derivative and integral feedback controls of vibrations. Stability concept. Control design by root locus and frequency domain method.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Writing in the Discipline
Requisites and Restrictions Prerequisite: MATH 024 and ENGR 057 Instructor Permission Required: No
Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control.
Course Details Repeatable for Credit: No Conjoined with: ME 210 Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Requisites and Restrictions Prerequisite: MATH 024 and ME 140 Instructor Permission Required: No
Introduction to electro-mechanical systems controlled by microcontroller technology. The course covers theory, design and construction of smart systems; closely coupled and fully integrated products and systems; the synergistic integration of sensors, interfaces, actuators, microcontrollers, control and information technology.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Requisites and Restrictions Prerequisite: ENGR 057 and ENGR 065 Instructor Permission Required: No
Rigid body mechanics (Rotation parameterization, Newton-Euler equations, inertia tensor), Interconnected bodies (joints, actuators, controllers), Equations of motion (Lagrange’s equations, Lagrange multipliers, body jack, DAEs) and Analyses (kinematic, static, quasi-static, dynamic, kinetostatic, linear-dynamic).
Course Details Repeatable for Credit: No Conjoined with: ME 244 Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Crossroads
Badge: Scientific Method
Badge: Literary and Textual Analysis
Badge: Quantitative and Numerical Analysis
Badge: Practical and Applied Knowledge
Requisites and Restrictions Prerequisite: ENGR 151 and MATH 131 Concurrent Prerequisites: ME 140 Instructor Permission Required: No Background in vector mechanics, differential equations, numerical methods, linear algebra, MATLAB-Simulink, and Vibrations recommended
Design project must be selected and approved; project feasibility study and outline of the design project is completed; design methodology, optimization, product reliability and liability, economics, use of ASME codes. A final presentation is given at the end of the semester.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
GE Requirements
Upper Division: Culminating Experience
Badge: Scientific Method
Badge: Quantitative and Numerical Analysis
Badge: Diversity and Identity
Badge: Global Awareness
Badge: Sustainability
Badge: Practical and Applied Knowledge
Badge: Ethics
Badge: Leadership, Community, and Engaging the World
Requisites and Restrictions Prerequisite: ME 120 and ENGR 135 and ME 137 Instructor Permission Required: No
Introduction to machine shop technology. Study of basic measuring tools, vernier calipers, steel rules, and micrometers, layout tools, hand tools. Emphasis in the theory and practice in the use of vertical milling machine, lathes and drilling machines.
Course Details Repeatable for Credit: Yes Repeat Limit: 2
Laboratory included Pass/No Pass only
Requisites and Restrictions Instructor Permission Required: No
Lectures on special topics within Mechanical Engineering that are not covered in the regularly scheduled courses. Each ME 190 class will have a specific focus which will be defined by the instructor of the course on a semester-by-semester basis.
Course Details Repeatable for Credit: Yes Repeat Limit: 4
Laboratory included Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Rigid body dynamics, including topics such as: dynamical systems, motion representation and constraints, Newtonian, Lagrangian and Hamiltonian mechanics, stability analysis and introduction to multibody dynamics.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: Yes Repeat Limit: 1
Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge of the topics in MATH 024 and ENGR 057 Instructor Permission Required: No
Systematic analysis of fluid flow, heat transfer and mass transfer phenomena, with emphasis on the analogies and specific techniques used in treating such boundary value problems.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge of the topics in ENGR 135 Instructor Permission Required: No
Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control.
Course Details Repeatable for Credit: No Conjoined with: ME 141 Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge in linear algebra and differential equations and Vibration and Controls highly recommended Instructor Permission Required: No
Phase plane and singularities. Methods for nonlinear analysis. Lyapunov stability theory. Passivity. Lyapunov control design. Topics of nonlinear controls including feedback linearization, sliding control and back stepping design. Adaption algorithms and system identification. Discussion of current research topics in nonlinear controls.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: Yes
ME 212: Advanced Controls: Robustness and Optimality
Units: 4
Introduces advanced methods of multiple-input multiple output (MIMO) control system robustness analysis and optimal design. Covers both Pontryagin’s maximum principle based optimal control and operator-theoretical approaches including LQR, LQG, and H2, H-infinite techniques. Robust control techniques include QFT, H-infinity, mu-synthesis, and interval polynomial approaches. Other advanced control techniques such as finite horizon control, networked control systems, self-optimizing control and fractional order control ideas will be covered too.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ME 210 Instructor Permission Required: No
Review of mathematical theory and computations of matrix. LU decomposition. Singular value decomposition. QR decomposition. Schur decomposition. Eigen-decomposition. Cholesky decomposition. Expansion theorem. Pseudoinverse and solution of linear algebraic equations. Matrix representation of dynamical systems, the fundamental solution, and control formulation. Optimal sliding surface. Other engineering applications.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge of the topics covered in ME 140 Vibration recommended Instructor Permission Required: Yes
Cartesian tensors in mechanics, coordinate transformations, analysis of stress and strain, principal values, invariants, equilibrium and compatibility equations, constitutive relations, field equations; problems in elasticity; computational methods.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge of the topics in ENGR 120 Instructor Permission Required: No
Basic concepts (forces, displacements, stress, tensor, strain, etc.), linear and nonlinear elastic solids, linear viscous fluids, linear viscoelastic fluids and solids, and selected topics in nonlinear viscoelastic behavior.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Tribology is the study of components moving in relative motion. As such, this course will cover the areas of friction, wear and lubrication. Specific topics include surface properties, wear of materials, frictional contact and energy dissipation, fluid lubricated bearings, lubrication of highly loaded contacts, and nanoscale tribological phenomena.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Heat conduction fundamentals; one-and multi-dimensional steady state; transient conduction; hyperbolic conduction. Solution methods (separation of variables, integral transforms, integral method, numerical methods).
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge in the undergraduate physics sequence and knowledge in undergraduate thermodynamics Undergraduate heat transfer recommended Instructor Permission Required: No
Fluid transport properties and relevant conservation equations. Momentum, heat and mass transfer in laminar and turbulent internal and external flows. Buoyancy driven flows (free convection). Heat transfer in high-speed flow. Convective mass transfer. Special topics in heat and mass transfer; e.g., ablation, combustion, forced convection boiling and condensation (2-phase flow).
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge of undergraduate thermodynamics, heat transfer and graduate fluid mechanics strongly advisable Instructor Permission Required: No
Steady and unsteady mass diffusion; mass convection, simultaneous heat and mass transfer; Fick’s law in a moving medium; similarity and integral methods in mass transfer; high mass transfer theory; research project in mass transport.
Course Details Repeatable for Credit: Yes Repeat Limit: 1
Crosslisted with: ES 236 Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 135 or ES 235 Instructor Permission Required: No
Thermal radiation fundamentals; radiative properties of opaque surfaces; radiative exchange between opaque surfaces; radiative transfer equation; radiative properties of gases and particles; radiative exchange in participating media.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: Knowledge in the undergraduate physics sequence and knowledge in undergraduate thermodynamics Undergraduate heat transfer recommended Instructor Permission Required: No
Introduction to sustainability concept in manufacturing and product development and its relation to cost. Primary focus on defining and evaluating a product’s design in terms of Design for Sustainability requirements. Topics such as Life Cycle Assessment of parts options for materials, designs and fabrication processes are covered.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Prior knowledge of materials and manufacturing processes recommended.
ME 243: Interdisciplinary Computational Graduate Education
Units: 1
Focuses on teaching first-year graduate students from a variety of graduate programs skills in computational methods, programming languages, team science, project development, problem solving, social networking, and career preparation.
Course Details Repeatable for Credit: No Crosslisted with: CHEM 243, COGS 243, EECS 243, MATH 243, PHYS 243, PSY 243, QSB 243 Laboratory included Normal Letter Grade with Satisfactory/Unsatisfactory option
Requisites and Restrictions Instructor Permission Required: Yes
Rigid body mechanics (Rotation parameterization, Newton-Euler equations, inertia tensor), Interconnected bodies (joints, actuators, controllers), Equations of motion (Lagrange’s equations, Lagrange multipliers, body jack, DAEs) and Analyses (kinematic, static, quasi-static, dynamic, kinetostatic, linear-dynamic).
Course Details Repeatable for Credit: No Conjoined with: ME 144 Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: Background in vector mechanics, differential equations, numerical methods, linear algebra, MATLAB-Simulink, and Vibrations required Instructor Permission Required: No
Addresses the effects of compressibility in viscous and inviscid flows; steady and unsteady inviscid subsonic and supersonic flows; method of characteristics; small disturbance theories (linearized and hypersonic); shock dynamics; and hypersonic flows. Students are expected to be conversant in materials that are covered in ENGR 120 or the equivalent course.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Study of the Navier-Stokes equations; Stokes’ problems; creeping flows; internal and external flows; similarity and integral methods in boundary layer flows; stability and transition to turbulence.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: Yes Repeat Limit: 1
Crosslisted with: ES 237 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Knowledge of the topics in ENGR 135 or ES 235 required
Fundamentals of computational theory and computational methods. The first part covers material fundamentals to the understanding and application of numerical methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and convective heat transfer.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Introduction to physical mechanisms relevant to the fourth state of matter: plasmas. Emphasis will be on low-temperature laboratory plasmas and will deal with topics including particle dynamics in electromagnetic fields, two-fluid and kinetic models that govern the physics of plasmas.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Fundamentals and methodologies of non-imaging optics to design energy systems. The first part covers material fundamental to the understanding of imaging optics. This will lead into the non-imaging optical systems and the physics that made it possible to design solar energy concentrators. The second half of the course covers material dedicated to the designs of non-imaging optical systems applied to the solar energy field and optimization and analysis of these systems.
Course Details Repeatable for Credit: No Conjoined with: PHYS 151 Discussion included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: Yes
Overview on energy storage schemes/devices with major focus on electrochemical storages including ionic batteries, fuel cells and super-capacitors. The course will cover operating principles, physics behind them, characterization methods and advantages/issues of each scheme. Exposure to thermodynamics is recommended but not mandatory.
Course Details Repeatable for Credit: Yes Repeat Limit: 1
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
ME 262: Fuel Cell Fundamentals, Modeling, and Diagnostic
Units: 3
Introduces knowledge of electrochemistry and fuel cell operation followed by modeling and diagnostic of a fuel cell. Topics include transport, electrochemical reaction, impedance, cyclic voltammetry, etc.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Knowledge of Chemistry, Fluid Mechanics, and Thermodynamics highly recommended
Preparation with fractional calculus (differentiation or integration of non-integer order) and fractional dynamic modeling of complex mechanical systems such as porous medias, particulate systems, soft matters etc. that have inherent nature of memory, heredity, or long-range dependence (LRD), or long range interactions at or across various scales.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: Yes
ME 285: Seminar: Nanomaterials for Space Exploration
Units: 1
Designed for students in materials engineering, physics, and chemistry. Intended to expose students to various nanomaterial-based devices, foster students’ critical thinking in postulating feasible approaches, and develop students’ communication and presentation skills.
Course Details Repeatable for Credit: No Crosslisted with: BEST 285, CHEM 285, PHYS 285 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Under faculty supervision, group of students meets each week for a semester in a student-led study group to pursue a specific topic of their choice that is not covered in other department courses.
Course Details Repeatable for Credit: Yes Repeat Limit: Unlimited
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Seminar series where external speakers deliver one-hour talks on current research and development in various mechanical engineering fields relevant to the graduate program, including but not limited to fluids, structures, dynamics and control and energy.
Course Details Repeatable for Credit: Yes Repeat Limit: 2
Discussion included Satisfactory/Unsatisfactory only
Requisites and Restrictions Open only to following major/minor(s):
Designed to empower students to achieve effective levels of performance within academic, personal, and professional endeavors through the use of proven educational and mental strategies, specifically within Natural Science majors.
Course Details Repeatable for Credit: Yes Repeat Limit: 1
Discussion included Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Environmental Systems Science (Undergraduate) - ESY
Applied Mathematical Sciences (Undergraduate) - MATH
NSED 023: Introduction to Teaching Science in Elementary School
Units: 1
Introduction to teaching science in elementary school. Emphasis on inquiry-based learning practices and effective research-based teaching strategies. Activities include seminars, discussions, and experimentation using inquiry-based learning modules.
Course Details Anticipated term(s) course will be offered:
Fall
Spring
Summer
Repeatable for Credit: No Crosslisted with: NSED 033 Normal Letter Grade only
GE Requirements
Badge: Leadership, Community, and Engaging the World
Requisites and Restrictions Concurrent Prerequisites: NSED 024 Instructor Permission Required: No
NSED 024: Fieldwork: Introduction to Teaching Science in Elementary School
Units: 1
Fieldwork component for the NSED 023 course. Classroom observations and teaching practicum at an elementary school under the guidance of a mentor teacher. Emphasis on inquiry-based learning practices and effective research-based teaching strategies.
Course Details Anticipated term(s) course will be offered:
Fall
Spring
Summer
Repeatable for Credit: No Crosslisted with: NSED 034 Normal Letter Grade only
GE Requirements
Badge: Leadership, Community, and Engaging the World
Requisites and Restrictions Concurrent Prerequisites: NSED 023 Instructor Permission Required: No
NSED 033: Introduction to Teaching Mathematics in Elementary School
Units: 1
Introduction to teaching mathematics in elementary school. Emphasis on inquiry-based learning practices and effective research-based teaching strategies. Activities include seminars, discussions, and experimentation using inquiry-based learning modules.
Course Details Anticipated term(s) course will be offered:
Fall
Spring
Summer
Repeatable for Credit: No Crosslisted with: NSED 023 Normal Letter Grade only
GE Requirements
Badge: Leadership, Community, and Engaging the World
Requisites and Restrictions Concurrent Prerequisites: NSED 034 Instructor Permission Required: No
NSED 034: Fieldwork: Introduction to Teaching Mathematics in Elementary School
Units: 1
Fieldwork component for the NSED 033 course. Classroom observations and teaching practicum at an elementary school under the guidance of a mentor teacher. Emphasis on inquiry-based learning practices and effective research-based teaching strategies.
Course Details Anticipated term(s) course will be offered:
Fall
Spring
Summer
Repeatable for Credit: No Crosslisted with: NSED 024 Normal Letter Grade only
GE Requirements
Badge: Leadership, Community, and Engaging the World
Requisites and Restrictions Concurrent Prerequisites: NSED 033 Instructor Permission Required: No