Mechanical and Aerospace Engineering ENGRMAE

ENGRMAE 10 Introduction to Engineering Computations

Units

4

Prerequisite

MATH 2A or MATH 5A or AP Calculus AB with a minimum score of 3

Corequisite

MATH 2A

Overlaps with EECS 10, EECS 12, BME 60B

Restrictions: Aerospace Engineering majors, Chemical Engineering majors, Materials Science and Engineering majors, and Mechanical Engineering majors have the first consideration for enrollment

Introduction to the solution of engineering problems through the use of the computer. Elementary programming, numerical analysis, and data visualization with a high-level programming language such as MATLAB.

Offered: Fall 2026 (6 sections)

ENGRMAE 30 Statics

Units

4

Prerequisite

MATH 2D and PHYSICS 7C

Corequisite

MATH 2D

Same as ENGR 30, ENGRCEE 30

Restrictions: School of Engineering students have the first consideration for enrollment

Addition and resolution of forces, distributed forces, equivalent system of forces centroids, first moments, moments and products on inertia, equilibrium of rigid bodies, trusses, beams, cables.

Offered: Fall 2026 (7 sections)

ENGRMAE 52 Computer-Aided Design

Units

4

Restrictions: Mechanical Engineering majors and Materials Science and Engineering majors have the first consideration for enrollment

Develops skills for the creation and use of CAD models and drawings in engineering design. Manufacturing techniques, tolerancing, kinematics, and basic simulation are also covered. Students build a functioning, physical prototype from a CAD design. Materials Fee

Offered: Fall 2026 (5 sections)

ENGRMAE 60 Electric Circuits

Units

4

Prerequisite

PHYSICS 7D and PHYSICS 7LD

Corequisite

MATH 3D

Overlaps with EECS 70A

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, and Materials Science Engineering majors have the first consideration for enrollment

Design and analysis of analog circuits based on lumped circuit elements with emphasis on the use of operational amplifiers. Sinusoidal and transient response. Constructional and laboratory testing of analog circuits, and introduction to data acquisition. Materials Fee

Offered: Fall 2026 (7 sections)

ENGRMAE 80 Dynamics

Units

4

Prerequisite

MATH 2D and PHYSICS 7C

Same as ENGR 80, ENGRCEE 80

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, Civil Engineering majors, Materials Science and Engineering majors, and Environmental Engineering majors have the first consideration for enrollment

Introduction to the kinematics and dynamics of particles and rigid bodies. The Newton-Euler, Work/Energy, and Impulse/Momentum methods are explored for ascertaining the dynamics of particles and rigid bodies. An engineering design problem using these fundamental principles is also undertaken.

Offered: Fall 2026 (6 sections)

ENGRMAE 91 Introduction to Thermodynamics

Units

4

Prerequisite

PHYSICS 7C and MATH 2D

Overlaps with CBE 40B

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, Civil Engineering majors, Materials Science and Engineering majors, and Environmental Engineering majors have the first consideration for enrollment

Thermodynamic principles; open and closed systems representative of engineering problems. First and second law of thermodynamics with applications to engineering systems and design.

Offered: Fall 2026 (6 sections)

ENGRMAE 93 Topics in Design Project

Units

1-4

Repeatability: May be taken unlimited times as topics vary

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Early-stage design/hands-on experience for students, and allows them to participate alongside seniors in the design project.

Offered: Fall 2026 (27 sections)

ENGRMAE 106 Mechanical Systems Laboratory

Units

4

Prerequisite

ENGRMAE 60 or EECS 70A

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, Civil Engineering majors, Materials Science and Engineering majors, and Environmental Engineering majors have the first consideration for enrollment

Experiments in linear systems, including op-amp circuits, vibrations, and control systems. Emphasis on demonstrating that mathematical models can be useful tools for the analysis and design of electro-mechanical systems. Materials Fee

Not on the Fall 2026 schedule.

ENGRMAE 107 Fluid Thermal Science Laboratory

Units

4

Corequisite

ENGRMAE 120

Restrictions: Mechanical Engineering majors have the first consideration for enrollment

Fluid and thermal science laboratory. Experimental analysis of fluid flow, heat transfer, and thermodynamic systems. Probability, statistics, and uncertainty analysis. Report writing is emphasized and a design project is required. Materials Fee

Offered: Fall 2026 (10 sections)

ENGRMAE 108 Aerospace Laboratory

Units

4

Prerequisite

ENGRMAE 130B

Restrictions: Aerospace Engineering majors have the first consideration for enrollment. Mechanical Engineering majors have second consideration for enrollment

Analytical and experimental investigation in aerodynamics, fluid dynamics, and heat transfer. Emphasis on study of flow over objects and lift and drag on airfoils. Introduction to basic diagnostic techniques. Report writing is emphasized.

Offered: Fall 2026 (13 sections)

ENGRMAE 110 Combustion and Fuel Cell Systems

Units

4

Prerequisite

ENGRMAE 115

Restrictions: Mechanical Engineering majors, Chemical Engineering majors, and Environmental Engineering majors have the first consideration for enrollment

Fundamentals of gaseous, liquid, and coal-fired combustion and fuel cell systems. Fuels, fuel-air mixing, aerodynamics, and combustion and fuel cell thermodynamics. Operating and design aspects of practical systems including engines, power generators, boilers, furnaces, and incinerators.

Offered: Fall 2026 (3 sections)

ENGRMAE 112 Propulsion

Units

4

Prerequisite

ENGRMAE 130B

Restrictions: Aerospace Engineering majors have the first consideration for enrollment. Mechanical Engineering majors have second consideration for enrollment

Application of thermodynamics and fluid mechanics to basic flow processes and cycle performance in chemical propulsion systems: gas turbines, ramjets, scramjets, and rockets. Introduction to electric and electromagnetic rocket thrusters, nuclear rockets, and solar sails.

Offered: Fall 2026 (5 sections)

ENGRMAE 113 Electric Propulsion

Units

4

Prerequisite

ENGRMAE 112

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Concurrent: ENGRMAE 213

Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic, and electrostatis accelerators, with emphasis in technologies (ion engines, Hall thrusters, and colloidal thrusters) belonging to the latter family.

Not on the Fall 2026 schedule.

ENGRMAE 114 Fuel Cell Fundamentals and Technology

Units

4

Prerequisite

ENGRMAE 115

Restrictions: Seniors and Mechanical Engineering majors have the first consideration for enrollment. Chemical Engineering majors have second consideration for enrollment

Concurrent: ENGRMAE 214A

Introduction to electrochemistry and electrocatalysis; nature of fuel-cell electrodes and electrolytes; charge transfer reactions at interfaces; charge transport and mass transport processes; fuel processing reactions; determination of fuel cell efficiency, fuel flexibility, emissions, and other characteristics.

Not on the Fall 2026 schedule.

ENGRMAE 115 Applied Engineering Thermodynamics

Units

4

Prerequisite

ENGRMAE 91 or CBE 40B or MSE 65A

Restrictions: Mechanical Engineering majors have the first consideration for enrollment. Environmental Engineering majors have second consideration for enrollment

Application of thermodynamic principles to compressible and incompressible processes representative of practical engineering problems; power cycles, refrigeration cycles, multicomponent mixtures, air conditioning systems, combustion, and compressible flow. Design of a thermodynamic process.

Offered: Fall 2026 (9 sections)

ENGRMAE 117 Solar and Renewable Energy Systems

Units

4

Prerequisite

(ENGRMAE 91 or CBE 40B)

Restrictions: Mechanical Engineering majors have the first consideration for enrollment

Basic principles, design, and operation of solar and other renewable energy systems including solar photo-voltaic, solar thermal, wind, and PEM fuel cell. Includes power generation and storage, and renewable fuels for transportation and stationary power generation.

Not on the Fall 2026 schedule.

ENGRMAE 118 Sustainable Energy Systems

Units

4

Prerequisite

ENGRMAE 115

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Concurrent: ENGRMAE 218

Basic principles, design, and operation of sustainable energy systems including wind, solar photo-voltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal, and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation.

Not on the Fall 2026 schedule.

ENGRMAE 119 Climate Solutions

Units

4

Same as EARTHSS 179, UPPP 111

Introduction to climate change science and impacts on the health of people and the planet with a focus on the multi-dimensional aspects of solutions to the climate crisis.

Not on the Fall 2026 schedule.

ENGRMAE 120 Heat and Mass Transfer

Units

4

Prerequisite

ENGRMAE 130B

Overlaps with CBE 120B

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, and Materials Science and Engineering majors have the first consideration for enrollment

Fundamentals of heat and mass transfer. Conduction, heat and mass transfer by convection in laminar flow, radiation heat transfer, and combined modes of heat and mass transfer. Practical engineering applications.

Offered: Fall 2026 (5 sections)

ENGRMAE 130A Fluid Dynamics I

Units

4

Prerequisite

PHYSICS 7C with a minimum grade of C- and MATH 2D with a minimum grade of C- and MATH 3D with a minimum grade of C- and (ENGRMAE 30 with a minimum grade of C- or ENGRCEE 30 with a minimum grade of C- or ENGR 30 with a minimum grade of C-)

Corequisite

(ENGRMAE 80 or ENGRCEE 80 or ENGR 80) and ENGRMAE 91 and MATH 2E

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Fundamental concepts; fluid statics; kinematics; incompressible and compressible flows; Bernoulli's equation; control-volume analysis; conservation of mass, momentum, and energy; differential analysis; introduction to potential flow and viscous flow.

Offered: Fall 2026 (9 sections)

ENGRMAE 130B Fluid Dynamics II

Units

4

Prerequisite

ENGRMAE 130A and (ENGRMAE 80 with a minimum grade of C- or ENGRCEE 80 with a minimum grade of C- or ENGR 80 with a minimum grade of C-)

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Analysis of viscous flows: stress-strain rate, fully developed laminar and turbulent flows. Review of thermodynamics, sound speed, stagnation properties. One dimensional isentropic and non-isentropic compressible flows. Normal and oblique shock waves. Two-dimensional supersonic isentropic flow.

Offered: Fall 2026 (6 sections)

ENGRMAE 130C Fluid Dynamics III

Units

4

Prerequisite

ENGRMAE 130B

Restrictions: Aerospace Engineering majors have the first consideration for enrollment. Mechanical Engineering majors have second consideration for enrollment

Advanced topics in viscous and compressible flows. Viscous boundary layers, basic concepts in turbulent flow, separated flows, thermal transport, two-dimensional supersonic flow, shock polars, supersonic airfoils, conical flows.

Not on the Fall 2026 schedule.

ENGRMAE 135 Compressible Flow

Units

4

Prerequisite

ENGRMAE 130A

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Compressibility effects in fluid mechanics. One-dimensional flow with area variation, friction, heat transfer, and shocks. Design of gas supply systems. Two-dimensional flow with oblique shocks and isentropic waves. Supersonic airfoil theory and design, wind tunnel design. Basic diagnostics.

Not on the Fall 2026 schedule.

ENGRMAE 136 Aerodynamics

Units

4

Corequisite

ENGRMAE 130C

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Advanced potential flow, including vorticity, circulation, and the Kutta-Joukowski theorem. Incompressible flow over 2D inviscid airfoils. Prandtl lifting-line theory for finite wings. Effects of viscosity and compressibility. Elements of supersonic aerodynamics. Source and vortex panel methods.

Not on the Fall 2026 schedule.

ENGRMAE 145 Theory of Machines and Mechanisms

Units

4

Prerequisite

ENGRMAE 52 and (ENGRMAE 80 or ENGRCEE 80 or ENGR 80) and (MATH 3A or I&C SCI 6N)

Restrictions: Mechanical Engineering majors have the first consideration for enrollment. Materials Science and Engineering majors have second consideration for enrollment

Presents the basic mathematical theory of machines. Focuses on the principles of cam design, gearing and gear train analysis, and the kinematic and dynamic analysis of linkages, together with an introduction to robotics.

Offered: Fall 2026 (5 sections)

ENGRMAE 146 Astronautics

Units

4

Prerequisite

ENGRMAE 80 or ENGRCEE 80 or ENGR 80

Restrictions: Aerospace Engineering majors have the first consideration for enrollment

Motion in gravitational force fields, orbit transfers, rocketry, interplanetary trajectories, attitude dynamics and stabilization, navigation, reentry, the space environment.

Not on the Fall 2026 schedule.

ENGRMAE 147 Vibrations

Units

4

Prerequisite

(ENGR 80 or ENGRCEE 80 or ENGRMAE 80) and MATH 2E and MATH 3D

Restrictions: Mechanical Engineering majors and Materials Science and Engineering majors have the first consideration for enrollment

Analysis of structural vibrations of mechanical systems. Modeling for lumped and distributed parameter systems. Topics include single and multi-degree of freedom systems, free and forced vibrations, Fourier series, convolution integral, mass/stiffness matrices, and normal modes with design project.

Not on the Fall 2026 schedule.

ENGRMAE 148 Mechanics of Smart Structures

Units

4

Prerequisite

ENGRMAE 150

Concurrent: ENGRMAE 248

Introduction to modeling, numerical simulation, design, and control of axial, torsional, and bending actuators. Fundamentals of shape-changing trusses, frames, and panels. Introduction to the behavior and modeling of smart materials such as shape memory alloys/polymers.

Not on the Fall 2026 schedule.

ENGRMAE 150 Mechanics of Structures

Units

4

Prerequisite

(ENGRCEE 30 or ENGR 30 or ENGRMAE 30) and MATH 3A

Same as ENGR 150

Overlaps with ENGRCEE 150

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, Chemical Engineering majors, and Materials Science and Engineering majors have the first consideration for enrollment

Introduction to mechanics of materials. Topics include stresses and strains, axial and torsional loading, bending, shear, combined loading, stress and strain transformation, failure theories, beam deflection, and buckling.

Offered: Fall 2026 (8 sections)

ENGRMAE 150L Mechanics of Structures Laboratory

Units

1

Prerequisite

ENGRMAE 30 or ENGR 30 or ENGRCEE 30

Corequisite

ENGRMAE 150

Overlaps with ENGRCEE 150L

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, and Materials Science and Engineering majors have the first consideration for enrollment

Experimental techniques for the measurement of mechanical properties of materials and structures. Methods for load, displacement, and strain measurements. Tension, bending, compression tests. Determination of strength. Materials Fee

Offered: Fall 2026 (10 sections)

ENGRMAE 151A Mechanical Engineering Design I

Units

4

Prerequisite

ENGRMAE 106 and ENGRMAE 150

Corequisite

ENGRMAE 145

Restrictions: Seniors and Mechanical Engineering majors only

Teaching and implementation of all phases of the engineering design process that begins with identifying needs, setting requirements, concept generation, and preliminary design. Emphasis on detailed engineering analysis and documentation for a small-team, open-ended design project. Materials Fee

Offered: Fall 2026 (6 sections)

ENGRMAE 151B Mechanical Engineering Design II

Units

4

Prerequisite

ENGRMAE 151A

Corequisite

ENGRMAE 120

Restrictions: Seniors and Mechanical Engineering majors have the first consideration for enrollment

Manufacturing, diagnostics and quality, economics, ethics, and inclusivity. Continuation of the engineering design process with analysis and modeling, physical prototyping, testing, verification, and validation of solutions for the open-ended design project. Teamwork, project presentations, and documentation. Materials Fee

Not on the Fall 2026 schedule.

ENGRMAE 152 Introduction to Computer-Aided Engineering

Units

4

Prerequisite

(ENGRMAE 150 or ENGR 150) and ENGRMAE 120

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, and Materials Science and Engineering majors have the first consideration for enrollment

Elements and principles of simulation in engineering design using industry software tools. Examples of finite-element method applications covered may include structural, thermal, dynamics, kinematics, fatigue, optimization and fluid flow problems.

Not on the Fall 2026 schedule.

ENGRMAE 153 Advanced BIOMEMS Manufacturing Techniques

Units

4

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, and Biomedical Engineering majors have the first consideration for enrollment

Concurrent: ENGRMAE 253

Introduction to BIOMEMS. Advanced biotechnology/biomedicine equipment based on MEMS and NEMS. Fundamentals of MEMS/NEMS sensing techniques and the biological and physics principles involved and the preferred MEMS and NEMS manufacturing techniques.

Not on the Fall 2026 schedule.

ENGRMAE 155 Composite Materials and Structures

Units

4

Prerequisite

ENGR 54 and (ENGRMAE 150 or ENGRCEE 150 or ENGR 150)

Restrictions: Mechanical Engineering majors have the first consideration for enrollment. Aerospace Engineering majors have second consideration for enrollment. Chemical Engineering majors have second consideration for enrollment. Civil Engineering majors have second consideration for enrollment. Materials Science and Engineering majors have second consideration for enrollment

Concurrent: ENGRMAE 255

Micro and macro mechanical properties and failure mechanisms of lamina and laminates. Laminate theory, hygrothermal effects, failure analysis and design. Manufacturing methods, non-destructive evaluation, experimental characterization. Application of numerical modeling for analysis and design.

Not on the Fall 2026 schedule.

ENGRMAE 156 Mechanical Behavior and Design Principles

Units

4

Prerequisite

ENGR 54

Same as MSE 155

Restrictions: Mechanical Engineering majors and Materials Science and Engineering majors have the first consideration for enrollment. Aerospace Engineering majors have second consideration for enrollment

Principles governing structure and mechanical behavior of materials, relationship relating microstructure and mechanical response with application to elasticity, plasticity, yielding, necking, creep, and fracture of materials. Introduction to experimental techniques to characterize the properties of materials. Design parameters.

Not on the Fall 2026 schedule.

ENGRMAE 157 Lightweight Structures

Units

4

Prerequisite

ENGR 150 or ENGRCEE 150 or ENGRMAE 150

Restrictions: Aerospace Engineering majors have the first consideration for enrollment. Mechanical Engineering majors have second consideration for enrollment. Civil Engineering majors have second consideration for enrollment. Materials Science and Engineering majors have second consideration for enrollment

Mass minimization under stiffness, strength, and buckling constraints. Finite Element method and application to trusses. Three-dimensional bending. Thin-wall, composite, and functionally graded beams. Plates and shells, design of laminated and functionally graded plates. Stress analysis of aircraft components.

Not on the Fall 2026 schedule.

ENGRMAE 158 Aircraft Performance

Units

4

Prerequisite

ENGRMAE 130A

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Flight theory applied to subsonic propeller and jet aircraft. Nature of aerodynamic forces, drag and lift of wing and fuselage, high-lift devices, level-flight performance, climb and glide performance, range, endurance, take-off and landing distances, static and dynamic stability and control.

Offered: Fall 2026 (5 sections)

ENGRMAE 159 Aircraft Design

Units

4

Prerequisite

ENGRMAE 112 and ENGRMAE 136 and ENGRMAE 158

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Preliminary design of subsonic general aviation and transport aircraft with emphasis on layout, aerodynamic design, propulsion, and performance. Estimation of total weight and weight distribution, design of wings, fuselage, and tail, selection and location of engines, prediction of overall performance.

Not on the Fall 2026 schedule.

ENGRMAE 163 Aviation Systems and the Environment

Units

4

Prerequisite

ENGRMAE 80 or ENGRMAE 91 or ENGRMAE 107

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors only

Concurrent: ENGRMAE 263

Methods for analyzing aviation systems, flight and engine performance, and operations, and associated modern environmental challenges, including fuel burn, emissions, and noise are introduced. Analysis methods and technological and policy approaches for environmental impact mitigation examined.

Not on the Fall 2026 schedule.

ENGRMAE 164 Air Pollution and Control

Units

4

Prerequisite

(ENGRMAE 91 or CBE 40B) and ENGRMAE 130A

Restrictions: Mechanical Engineering majors, Chemical Engineering majors, and Environmental Engineering majors have the first consideration for enrollment

Sources, dispersion, and effects of air pollutants. Topics include emission factors, emission inventory, air pollution, meteorology, air chemistry, air quality modeling, impact assessment, source and ambient monitoring, regional control strategies.

Not on the Fall 2026 schedule.

ENGRMAE 170 Introduction to Control Systems

Units

4

Prerequisite

ENGRMAE 80 or ENGRCEE 80 or ENGR 80

Restrictions: Mechanical Engineering majors, Aerospace Engineering majors, Civil Engineering majors, and Materials Science and Engineering majors have the first consideration for enrollment

Feedback control systems. Modeling, stability, and systems specifications. Root locus, Nyquist, and Bode methods of analysis and design.

Offered: Fall 2026 (7 sections)

ENGRMAE 171 Digital Control Systems

Units

4

Prerequisite

ENGRMAE 170

Restrictions: Civil Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Methods for analysis and design of discrete-time control systems. Z-transforms, difference equations, discrete Fourier transforms. Sampling theorem and applications. Z-plane stability, frequency response. Digital controller design. Introduction to digital filters.

Not on the Fall 2026 schedule.

ENGRMAE 172 Design of Computer-Controlled Robots

Units

4

Prerequisite

ENGRMAE 170

Corequisite

ENGRMAE 60

Restrictions: Mechanical Engineering majors have the first consideration for enrollment

Concurrent: ENGRMAE 280

Students design a small robotic device and program it to exhibit sentient behaviors. The basic aspects of mechatronic design are covered, including motor and sensor selection, control strategies, and microcomputer programming for the implementation of control paradigms. Materials Fee

Not on the Fall 2026 schedule.

ENGRMAE 175 Dynamics and Control of Aerospace Vehicles

Units

4

Prerequisite

ENGRMAE 80 and ENGRMAE 130A

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Equations of motion, linearization, stability derivatives, and longitudinal and lateral modes of motion. Handling qualities, sensors and actuators, and effects of various feedbacks on stability and performance. Stability augmentation. Autopilot design.

Offered: Fall 2026 (4 sections)

ENGRMAE 181A Racecar Engineering I

Units

2

Restrictions: School of Engineering students only

Project-based learning course focused on the design, fabrication, and testing of vehicles for intercollegiate competition. Focuses on the system and subsystem engineering analysis, design drawings, and parts specification.

Not on the Fall 2026 schedule.

ENGRMAE 181B Racecar Engineering II

Units

2

Restrictions: School of Engineering students only

Project-based learning course focused on the design, fabrication, and testing of vehicles for intercollegiate competition. Focuses on subsystem prototype fabrication and verification, as well as system integration.

Not on the Fall 2026 schedule.

ENGRMAE 181C Racecar Engineering III

Units

2

Restrictions: School of Engineering students only

Project-based learning course focused on the design, fabrication, and testing of vehicles for intercollegiate competition. Focuses on system verification, driver training, competition team training, in-field maintenance, and design improvements for the following year.

Not on the Fall 2026 schedule.

ENGRMAE 182 Introduction to Machine Learning

Units

4

Fundamental principles necessary to understand statistical learning methods. Introduction to the R programming language. Mathematical foundation for various machine learning algorithms. Computer implementation.

Not on the Fall 2026 schedule.

ENGRMAE 183 Computer-Aided Mechanism Design

Units

4

Prerequisite

MATH 3A or I&C SCI 6N

Restrictions: Mechanical Engineering majors have the first consideration for enrollment

Focuses on design of planar, spherical, and spatial mechanisms using computer algebra and graphics. Topics include exact and approximate analytical design techniques. Students are required to use existing software (or develop new algorithms) to design various mechanisms for new applications.

Not on the Fall 2026 schedule.

ENGRMAE 184 Fundamentals of Experimental Design

Units

4

Restrictions: Mechanical Engineering majors and Aerospace Engineering majors have the first consideration for enrollment

Concurrent: ENGRMAE 284

Review of statistics as applied to experimental research. Fundamentals and principles of statistical experimental design and analysis with emphasis on understanding and use of designed experiments, response surfaces, linear regression modeling, and process optimization.

Not on the Fall 2026 schedule.

ENGRMAE 185 Numerical Analysis in Mechanical and Aerospace Engineering

Units

4

Prerequisite

(ENGRMAE 10 or EECS 10 or EECS 12 or BME 60B) and MATH 3D and MATH 2E

Corequisite

MATH 2E

Overlaps with MATH 105A

Solution of mechanical and aerospace engineering equations by means of numerical methods. Errors in numerical analysis. Methods for solving systems of algebraic equations. Interpolation, integration and differentiation. Numerical solutions to differential equations. Introduction to Python and its scientific computing modules.

Not on the Fall 2026 schedule.

ENGRMAE 188 Engineering Design in Industry

Units

4

Repeatability: May be taken for credit 3 times

Restrictions: Mechanical Engineering majors have the first consideration for enrollment

Principles of engineering design in the context of an industrial application. Local manufacturing firms define an engineering design project to be completed in 10 weeks. Projects include initial brainstorming to final design, with a formal presentation

Not on the Fall 2026 schedule.

ENGRMAE 189 Senior Project - Special Topics

Units

1-4

Repeatability: May be taken for credit for 12 units as topics vary

Restrictions: Seniors and Mechanical Engineering majors only

Group or individual senior project of theoretical or applied nature involving design.

Not on the Fall 2026 schedule.

ENGRMAE 193 Topics in MAE Design

Units

1-4

Repeatability: May be taken for credit for 12 units as topics vary

Restrictions: Aerospace Engineering majors and Mechanical Engineering majors have the first consideration for enrollment

Provides early-stage design/hands-on experience for upper-division students, and allows them to participate in senior design projects course ENGRMAE 189.

Not on the Fall 2026 schedule.

ENGRMAE 195 Seminars in Engineering

Units

1-4

Repeatability: May be taken unlimited times as topics vary

Seminars by individual faculty in major fields of interest. Materials fee.

Offered: Fall 2026 (4 sections)

ENGRMAE 197 Mechanical and Aerospace Engineering Internship

Units

2-12

Grading Option: Pass/Not Pass only

Repeatability: May be taken for credit 3 times

Students majoring in MAE may receive credit for an approved internship, working at a company under the supervision of an industry mentor and a faculty advisor. Enables students to gain valuable experience in a professional setting and enhance their skills.

Offered: Fall 2026 (1 section)

ENGRMAE 198 Group Study

Units

1-4

Repeatability: May be taken unlimited times

Group study of selected topics in Aerospace and Mechanical Engineering.

Offered: Fall 2026 (2 sections)

ENGRMAE 199 Individual Study

Units

1-4

Repeatability: May be taken for credit for 8 units

For undergraduate Engineering majors in supervised but independent reading, research, or design. Students taking individual study for design credit are to submit a written paper to the instructor and to the Undergraduate Student Affairs Office in the School of Engineering.

Offered: Fall 2026 (49 sections)

ENGRMAE 200A Engineering Analysis I

Units

4

Linear algebra, including vector spaces, matrices, linear systems of equations, least squares, and the eigenvalue problem. Ordinary differential equations, including analytical and numerical solution methods, stability, and phase portraits.

Offered: Fall 2026 (1 section)

ENGRMAE 200B Engineering Analysis II

Units

4

Review of ordinary differential equations, including Bessel and Legendre functions. Partial differential equations, including the diffusion equation, Laplace's equation, and the wave equation. Fourier series, Fourier and Laplace transforms and their applications.

Not on the Fall 2026 schedule.

ENGRMAE 202P Professional Engineering Fundamentals

Units

4

Restrictions: Master of Engineering only

The fundamentals of the core topics in mechanical and aerospace engineering are first reviewed and then integrated and applied in the context of engineered systems.

Not on the Fall 2026 schedule.

ENGRMAE 204P Personalized Medical Devices

Units

4

Same as EECS 204P

Restrictions: Master of Engineering only

Concurrent: BME 204P

Introduces students to fundamental aspects of medical devices and discusses therapeutic as well as diagnostic devices. Basic aspects of microfluidics and biology critical to personalized medical systems are studied. Typical FDA approval pathways for medical devices are presented.

Not on the Fall 2026 schedule.

ENGRMAE 205 Perturbation Methods in Engineering

Units

4

Prerequisite

ENGRMAE 200A with a minimum grade of B- and ENGRMAE 200B with a minimum grade of B-. Knowledge of linear differential equations

Asymptotic Expansions of integrals. Regular and singular perturbations. Perturbation methods for ordinary and partial differential equations. Matched asymptotic expansions. Multiple-scale asymptotic expansion schemes. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 205P Model-Based Engineering: Systems and Design

Units

4

Restrictions: Master of Engineering only

Engineering design, systems engineering, and product lifecycle management. Model-based approaches and modeling for the digital twin. Software tools and application to the design of a complete product from problem definition to production.

Not on the Fall 2026 schedule.

ENGRMAE 206 Nonlinear Optimization Methods

Units

4

Prerequisite

ENGRMAE 200A with a minimum grade of B-

Numerical methods for constrained and unconstrained optimization. Necessary and sufficient conditions for optimimality. Conjugate gradient, variable metric algorithms. Gradient projection, penalty functions, and Lagrange methods. Not offered every year.

Offered: Fall 2026 (1 section)

ENGRMAE 209P Energy Efficiency in the Built Environment

Units

4

Restrictions: Master of Engineering only

Energy and power for the built environment; building energy modeling; heat transfer and losses; heating and cooling cycles; control hardware and software; carbon neutrality, optimization.

Not on the Fall 2026 schedule.

ENGRMAE 210 Advanced Fundamentals of Combustion

Units

4

Prerequisite

ENGRMAE 224 or ENGRMAE 230B

Premixed, nonpremixed, and heterogenous reactions, with emphasis on kinetics, thermal ignition, turbulent flame propogation, detonations, explosions, flammability limits, diffusion flame, quenching, flame stabilization, and particle and spray combustion. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 213 Electric Propulsion

Units

4

Concurrent: ENGRMAE 113

Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic and electrostatic accelerators, with emphasis in technologies (ion engines, Hall thrusters and colloidal thrusters) belonging to the latter family.

Not on the Fall 2026 schedule.

ENGRMAE 214A Fuel Cell Fundamentals and Technology

Units

4

Concurrent: ENGRMAE 114

Introduction to electrochemistry and electrocatalysis; nature of fuel-cell electrodes and electrolytes; charge transfer reactions at interfaces; charge transport and mass transport processes; fuel processing reactions; determination of fuel cell efficiency, fuel flexibility, emissions and other characteristics.

Not on the Fall 2026 schedule.

ENGRMAE 214B Fuel Cell Systems and Degradation

Units

4

Prerequisite

ENGRMAE 214A with a minimum grade of B-

Fuel cell systems design; impacts of operating conditions; experimental and theoretical analysis methods for fuel cells systems; introduction to degradation mechanisms and mitigation techniques; provides broad insight into fuel-cell science, technology, system design and operation. Offered every other year.

Not on the Fall 2026 schedule.

ENGRMAE 214P Fuel Cell Fundamentals and Technology

Units

4

Restrictions: Master of Engineering only

Introduction to electrochemistry and electrocatalysis; nature of fuel-cell electrodes and electrolytes; charge transfer reactions at interfaces; charge transport and mass transport processes; fuel processing reactions; determination of fuel cell efficiency, fuel flexibility, emissions, and other characteristics.

Not on the Fall 2026 schedule.

ENGRMAE 215 Advanced Combustion Technology

Units

4

Prerequisite

ENGRMAE 200A and (ENGRMAE 230A or ENGRMAE 270A)

Recap of combustion thermodynamics, equilibrium, chemistry concepts in the context of practical systems. Overview of renewable and non-renewable fuels and their implications for practical devices. Concepts associated with computation and experimental methods. Emphasis on pollutant formation and emissions.

Not on the Fall 2026 schedule.

ENGRMAE 216 Statistical Thermodynamics

Units

4

Statistics of independent particles, development of quantum mechanical description of atoms and molecules, application of quantum mechanics, evaluation of thermodynamics properties for solids, liquids, and gases, statistical mechanics of dependent particles (ensembles).

Not on the Fall 2026 schedule.

ENGRMAE 217 Generalized Thermodynamics

Units

4

Generalized thermodynamics develops the laws of continuum thermodynamics from a set of plausible and intuitive postulates. The postulates are motivated qualitatively by a statistical description of matter and are justified by a posterior success for the resulting theory.

Not on the Fall 2026 schedule.

ENGRMAE 218P Sustainable Energy Systems

Units

4

Restrictions: Master of Engineering only

Basic principles, design, and operation of sustainable energy systems including wind, solar photo-voltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal, and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation.

Not on the Fall 2026 schedule.

ENGRMAE 219P Solar and Renewable Energy Systems

Units

4

Prerequisite

Required: Knowledge of applied engineering thermodynamics

Restrictions: Master of Engineering only

Basic principles, design, and operation of solar and other renewable energy systems including solar photo-voltaic, solar thermal, wind, and PEM fuel cell. Includes power generation and storage, and renewable fuels for transportation and stationary power generation.

Not on the Fall 2026 schedule.

ENGRMAE 220 Conduction Heat Transfer

Units

4

Steady state and transient conduction heat transfer in one- and multi-dimensional geometries. Analytical methods, exact and approximate. Numerical techniques are also included.

Offered: Fall 2026 (1 section)

ENGRMAE 221 Convective Heat and Mass Transfer

Units

4

Prerequisite

ENGRMAE 230B with a minimum grade of B-

Fundamental convective heat transfer for various cases, including flow conditions, flow phases, and boundary conditions. Analysis of heat convection by exact, approximate solutions, and similarity solutions. Boundary layer theory and equations.

Not on the Fall 2026 schedule.

ENGRMAE 223A Numerical Methods in Heat, Mass, and Momentum Transport (Laminar Flows) I

Units

4

Prerequisite

ENGRMAE 230A (may be taken concurrently) with a minimum grade of B-

Introduction to the discretization of various types of partial differential equations (parabolic, elliptic, hyperbolic). Finite-volume discretization for one- and two-dimensional flows. Use of a two-dimensional elliptic procedure to predict sample laminar flows.

Not on the Fall 2026 schedule.

ENGRMAE 224 Advanced Transport Phenomena

Units

4

Fundamentals of transport phenomena. Covers the subjects of conservation equations, dimensionless numbers, fundamentals of diffusion, perturbation methods, ion transport, two-phase transport, and interfacial phenomena.

Not on the Fall 2026 schedule.

ENGRMAE 227 Thermal Resistance Analysis in Microdevices and Nanomaterials

Units

4

Heat transfer and thermal resistance analysis relevant for microdevices and nanomaterials. Overview of recent progress in nanotechnology and materials science. Thermal modeling strategies for novel electronic devices and energy conversion systems.

Not on the Fall 2026 schedule.

ENGRMAE 228 Nanoscale Phase Change Transport Physics

Units

4

Prerequisite

Undergraduate-level heat transfer is recommended

Discusses a wide range of phase change processes (i.e., evaporation, boiling, condensation, and freezing) through the use of novel thermal metamaterials with the aim of enhancing phase change performances.

Not on the Fall 2026 schedule.

ENGRMAE 230A Inviscid Incompressible Fluid Mechanics I

Units

4

Equations of motion. Vector notation. Flow kinematics. Potential flow and complex potential. Vorticity and circulation. Bernoulli's theorem. Crocco's theorem. Conformal, Joukowski, and Schwarz-Christoffel transformations.

Not on the Fall 2026 schedule.

ENGRMAE 230B Viscous Incompressible Fluid Mechanics II

Units

4

Review of mass, momentum, energy equations. Stress tensor, constitutive relations. Laminar flows. Stokes and Oseen flows. Self-similarity. Boundary layer theory: thin-layer approximation, Falkner-Skan, Blasius solutions, integral methods. Jet, wake, cavity flows. Introduction to turbulence: instability, Reynolds averaging, mixing length.

Offered: Fall 2026 (2 sections)

ENGRMAE 230C Compressible Fluid Dynamics

Units

4

Prerequisite

ENGRMAE 230A with a minimum grade of B- or ENGRMAE 230B with a minimum grade of B-

One-dimensional unsteady flow; Riemann invariants, acoustics, shock tube. Two-dimensional flow: shock polars, linear theory, similarity rules, method of characteristics. Three dimensional flow: slender-body theory. Effects of viscosity and conductivity: laminar boundary layer, Crocco-Busemann relations.

Not on the Fall 2026 schedule.

ENGRMAE 230D Theoretical Foundations of Fluid Mechanics

Units

4

Prerequisite

ENGRMAE 230A with a minimum grade of B- and ENGRMAE 230B with a minimum grade of B-

Well-posed problems and boundary, initial, and interface conditions; strong and weak solutions. Similarity, perturbation theory and limit behavior, bifurcations. Dispersive and nondispersive wave propagation, acoustics, ship waves, internal gravity waves, water waves. Vortices: mutual interactions and stability. Jets, wakes, cavities.

Offered: Fall 2026 (1 section)

ENGRMAE 230P Introduction to Machine Learning

Units

4

Same as ENGR 230P, EECS 230P

Restrictions: Master of Engineering only

Introduces fundamental concepts in programming and machine learning. The goal is to provide an accessible introduction to the field of machine learning and related techniques for students with a wide variety of engineering degrees.

Offered: Fall 2026 (1 section)

ENGRMAE 231 Fundamentals of Turbulence

Units

4

Prerequisite

ENGRMAE 230A with a minimum grade of B- and ENGRMAE 230B with a minimum grade of B-

Phenomenon of turbulence. Reynolds equations. Dynamics of turbulence. Free turbulent shear flows. Wall-bounded turbulent shear flows. Turbulent transport of scalar quantities. Spectral dynamics. Mathematical models of turbulence.

Not on the Fall 2026 schedule.

ENGRMAE 231P Robotics and Controls

Units

4

Same as ENGR 231P

Restrictions: Master of Engineering only

Covers basic aspects of robotic and mechatronic design, including motor and sensor selection, control strategies, finite state machines, and implementation of advanced feedback control laws.

Not on the Fall 2026 schedule.

ENGRMAE 233 Turbulent Free Shear Flows

Units

4

Prerequisite

ENGRMAE 200B with a minimum grade of B- and ENGRMAE 230A with a minimum grade of B- and ENGRMAE 230B with a minimum grade of B-

Practical and theoretical aspects of turbulent free shear flows. Instability, global scaling laws, mixing, and noise generation in incompressible and compressible shear layers, jets, and wakes. Kelvin-Helmholtz instability, near- and far-field growth rates, effect of compressibility, aeroacoustics of jets.

Not on the Fall 2026 schedule.

ENGRMAE 235P Engineering Design and Simulation: Tools and Process

Units

4

Same as ENGR 235P

Restrictions: Master of Engineering only

Practical techniques and use of industry tools that improve the engineering design process by simulating the performance of design options prior to the costly steps of prototyping and manufacturing are covered. Applicable to a wide variety of engineering disciplines.

Offered: Fall 2026 (1 section)

ENGRMAE 236 Nonequilibrium Gas Dynamics

Units

4

Prerequisite

ENGRMAE 230C with a minimum grade of B-

Molecular description of fluid flow. Boltzmann equation. Chapman-Enskog expansion for flows with translational nonequilibrium. Shock structure. Inviscid flows with chemical and vibrational nonequilibrium. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 239 Dynamics of Unsteady Flows

Units

4

Prerequisite

ENGRMAE 230A is recommended

Unsteady potential flow modeling (Kelvin's circulation theorem, unsteady Bernoulli's equation). Theodorsen's frequency response, Wagner's step response, and the Kussner sharp-edged gust. State Space approximations for Unsteady Loads. Vortex Lattice. Flutter.

Not on the Fall 2026 schedule.

ENGRMAE 240 Inertial Navigation

Units

4

Provides a basic understanding of 1) theory, operation, and performance characteristics of a strapdown inertial navigation system (INS), (2) distinction between strap down and gimbaled INS, (3) Kalman filtering theory and its application to strap down INS aiding.

Not on the Fall 2026 schedule.

ENGRMAE 241 Dynamics

Units

4

Kinematics and dynamics of three-dimensional motions. Lagrange's equations, Newton-Euler equations. Applications include robot systems and spinning satellites.

Not on the Fall 2026 schedule.

ENGRMAE 242 Robotics

Units

4

Spatial rigid-body transformations. Forward and inverse kinematics. Jacobian of serial and parallel chains. Screw coordinates and transformations. Rate and static analyses using screw theory. Singularity analysis. Trajectory generation. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 245 Spatial Mechanism Design

Units

4

Fundamental kinematic theory required for planar, spherical, and spatial mechanism design. The focus is on algebraic methods for the exact solution of constraint equations. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 247 Micro-System Design

Units

4

Same as EECS 278

Covers the fundamentals of the many disciplines needed for design of Micro-Electro-Mechanical Systems (MEMS): microfabrication technology, structural mechanics on micro-scale, electrostatics, circuit interface, control, computer-aided design, and system integration.

Not on the Fall 2026 schedule.

ENGRMAE 247P Micro-System Design

Units

4

Restrictions: Master of Engineering only

Covers the fundamentals of the many disciplines needed for design of Micro-Electro-Mechanical Systems (MEMS): microfabrication technology, structural mechanics on micro-scale, electrostatics, circuit interface, control, computer-aided design, and system integration.

Not on the Fall 2026 schedule.

ENGRMAE 249 Micro-Sensors and Actuators

Units

4

Same as EECS 279

Introduction to the technology of Micro-Electro-Mechanical Systems (MEMS). Fundamental principles and applications of important microsensors, actuation principles on microscale. Introduction to the elements of signal processing; processing of materials for micro sensor/actuator fabrication; smart sensors and microsensor/microactuator array devices.

Offered: Fall 2026 (1 section)

ENGRMAE 249P Micro-Sensors and Actuators

Units

4

Restrictions: Master of Engineering only

Introduction to the technology of Micro-Electro-Mechanical Systems (MEMS). Fundamental principles and applications of important microsensors, actuation principles on microscale. Introduction to the elements of signal processing; processing of materials for micro sensor/actuator fabrication; smart sensors and microsensor/microactuator array devices.

Not on the Fall 2026 schedule.

ENGRMAE 250 Biorobotics

Units

4

Sensors, actuators, and neural circuits for biological movement control from an engineering perspective. Current approaches to robotic and mechatronic devices that support and enhance human movement in health and following neurologic injuries like stroke and spinal cord injury.

Not on the Fall 2026 schedule.

ENGRMAE 251 Micro/Nano Robotics

Units

4

Restrictions: School of Engineering students have the first consideration for enrollment

Concurrent: ENGRMAE 173

Covers the emerging field of robotics at small scale (micro/nano robotics). Understanding different physical phenomena at small scales, the differences between nano and micro robotics, common fabrication, and different mechanisms of locomotion and environmental interaction.

Not on the Fall 2026 schedule.

ENGRMAE 252 Fundamentals of Microfabrication

Units

4

Introduces Engineering and Science students to the science of miniaturization. Different options to make very small machines (micro and nano size) are reviewed, materials choices are discussed, scaling laws are analyzed, and many practical applications are listed.

Offered: Fall 2026 (1 section)

ENGRMAE 252P Fundamentals of Microfabrication

Units

4

Same as ENGR 252P

Restrictions: Master of Engineering only

Introduces engineering and science students to the science of miniaturization. Different options to make very small machines (micro and nano size) are reviewed, materials choices are discussed, scaling laws are analyzed, and many practical applications are listed.

Not on the Fall 2026 schedule.

ENGRMAE 254 Mechanics of Solids and Structures

Units

4

Finite deformation kinematics; stress and strain measures; invariance in solid mechanics; objective rates; constitutive theory of elastic and inelastic solids; rate formulations; computational approaches; theories of plates and shells; applications to aerospace vehicles.

Offered: Fall 2026 (1 section)

ENGRMAE 255 Composite Materials and Structures

Units

4

Concurrent: ENGRMAE 155

Motivation for composite materials. Different classifications according to the nature of the matrix (PMC, MMC, CMC) and the reinforcement topology (fibers, whiskers, particulates). Mechanical properties. Failure mechanisms. Designing with composite materials. Advantages and limitations of homogenization techniques for numerical modeling.

Not on the Fall 2026 schedule.

ENGRMAE 256 Nano and Micro Mechanics

Units

4

Restrictions: School of Engineering students have the first consideration for enrollment. Mechanical and Aerospace Engineering majors only

Nanoscale materials and the experimental and computational techniques used to measure their properties. Mechanical behavior is the main focus, but other material properties such as diffusion and electron transport are discussed.

Not on the Fall 2026 schedule.

ENGRMAE 257 Materials Failure and Fracture

Units

4

Prerequisite

Recommended: A foundational knowledge of mechanical behavior and mechanics of materials, or completion of ENGRMAE 156

Concurrent: ENGRMAE 154

Introduces materials failure and fracture behaviors under mechanical, thermal, and environmental conditions. It aims to provide a solid foundation and basic understanding of classic fatigue and fracture problems, and their underlying physical mechanisms.

Not on the Fall 2026 schedule.

ENGRMAE 258 Mechanical Behavior of Solids - Continuum Theories

Units

4

Prerequisite

ENGRMAE 254 with a minimum grade of B-

Presents a continuum, macroscopic view of deformation and failure of solids. Covers elasticity, plasticity, visco-elasticity, visco-plasticity, fracture and fatigue. Topics include discussions of physical behavior, mathematical formalism and measurement techniques.

Not on the Fall 2026 schedule.

ENGRMAE 259 Mechanical Behavior of Solids - Atomistic Theories

Units

4

Presents atomistic mechanisms that control mechanical behavior of materials. Covers plasticity, dislocation theory, strengthening mechanisms, high-temperature diffusion and gain boundary sliding, shear localization, void formation, ductile rupture, brittle fracture and fatigue.

Offered: Fall 2026 (1 section)

ENGRMAE 259P Mechanical Behavior of Solids - Atomistic Theories

Units

4

Restrictions: Master of Engineering only

Presents atomistic mechanisms that control mechanical behavior of materials. Covers plasticity, dislocation theory, strengthening mechanisms, high-temperature diffusion and gain boundary sliding, shear localization, void formation, ductile rupture, brittle fracture, and fatigue.

Not on the Fall 2026 schedule.

ENGRMAE 260 Current Issues Related to Air Quality, Climate, and Energy

Units

4

Prerequisite

ENGRMAE 261 with a minimum grade of B- or CHEM 245 with a minimum grade of B- or EARTHSS 240 with a minimum grade of B-

Same as CHEM 241

Current issues related to the atmosphere, climate, and air quality in the context of energy conversion and sustainability. Topics include transportation systems; building design; impacts on humans and ecosystems; modeling and meteorology; economics; and application to public policies.

Not on the Fall 2026 schedule.

ENGRMAE 263 Aviation Systems and the Environment

Units

4

Concurrent: ENGRMAE 163

Methods for analyzing aviation systems, flight and engine performance, operations, and associated modern environmental challenges, including fuel burn, emissions, and noise are introduced. Analysis methods and technological and policy approaches for environmental impact mitigation examined.

Not on the Fall 2026 schedule.

ENGRMAE 270A Linear Systems I

Units

4

Input-output and state-space representations of continuous-time linear systems. State transition matrices, Controllability and observability. Irreducible realizations. State feedback and observer design.

Offered: Fall 2026 (1 section)

ENGRMAE 270B Linear Systems II

Units

4

Prerequisite

ENGRMAE 270A with a minimum grade of B-

Advanced topics in linear systems: bases, linear operator representations, and Jordan forms. Review of dynamical systems, and stability. Time-varying systems, discrete-time representations, and multi-input/multi-output systems. Introduction to continuous and discrete time linear regulator (LQR) problems. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 271 Network Control

Units

4

Provides foundations on graph-theoretic, probabilistic and analytic techniques that have proven instrumental for studying networked dynamical systems. Applications are presented in diverse areas of science and engineering that include the coordination of vehicles and distribution of energy and resources.

Not on the Fall 2026 schedule.

ENGRMAE 272 Robust Control Theory

Units

4

Prerequisite

ENGRMAE 270A with a minimum grade of B-

Restrictions: School of Engineering students have the first consideration for enrollment

Methods for control design of systems with uncertainty. Feedback stability and small gain theorem. Multivariable stability margins and multiplier theory. H-infinity-optimal control, linear matrix inequalities. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 274 Optimal Control

Units

4

Prerequisite

ENGRMAE 200A with a minimum grade of B- and ENGRMAE 270A with a minimum grade of B-

Principles and methods of optimal control. Topics include objectives and issues in controlling nonlinear systems; linear variational and adjoint equations; optimality conditions via variational calculus, maximum principle, and dynamic programming; solution methods; applications to control robots and aerospace vehicles.

Not on the Fall 2026 schedule.

ENGRMAE 275 Nonlinear Feedback Systems

Units

4

Prerequisite

ENGRMAE 270B with a minimum grade of B-

Advanced tools for feedback control system analysis and synthesis. Norms, operators, Lp spaces, contraction mapping theorem, Lyapunov techniques along with their extensions. Circle criterion positivity and passivity. Applications to nonlinear control methods, such as sliding mode or adaptive techniques.

Not on the Fall 2026 schedule.

ENGRMAE 276 Geometric Nonlinear Control

Units

4

Prerequisite

ENGRMAE 200A with a minimum grade of B- and ENGRMAE 270A with a minimum grade of B-

Using the mathematics of differential geometry, a number of the concepts and results of linear systems theory have been extended to nonlinear systems. Describes these extensions and illustrate their use in nonlinear system analysis and design. Not offered every year.

Not on the Fall 2026 schedule.

ENGRMAE 277 Learning Control Systems

Units

4

Supervised learning for classification and regression: perceptrons, support vector machines, feed-forward neural networks, Gaussian processes. Generalization and model selection: cross-validation, regularization, and Bayesian methods. Unsupervised learning: clustering and dimensionality reduction. Learning control systems. Introduction to reinforcement learning.

Not on the Fall 2026 schedule.

ENGRMAE 278 Parameter and State Estimation

Units

4

Prerequisite

ENGRMAE 200A with a minimum grade of B- and ENGRMAE 270A with a minimum grade of B-

Bayesian and frequentist approaches to parameter and state estimation. Properties of estimators. Linear Gaussian systems and the Kalman Filter. Nonlinear state estimation, extended and unscented Kalman Filters. Introduction to Monte Carlo methods and particle filtering. Application to tracking and navigation.

Not on the Fall 2026 schedule.

ENGRMAE 279 Special Topics in Mechanical Systems

Units

4

Prerequisite

ENGRMAE 270A with a minimum grade of B- and ENGRMAE 241 with a minimum grade of B-

Repeatability: May be taken unlimited times as topics vary

Selected topics of current interest in mechanical systems. Topics include robotics, kinematics, control, dynamics, and geometric modeling.

Not on the Fall 2026 schedule.

ENGRMAE 280 Design of Computer-Controlled Robots

Units

4

Concurrent: ENGRMAE 172

The basic aspects of mechatronic design are covered, including motor and sensor selection, control strategies, finite state machines, inertial measurement units, and implementation of advanced feedback control laws. Students work in groups to create their own mechatronic device. Materials Fee

Not on the Fall 2026 schedule.

ENGRMAE 282P Model-Based Engineering: Systems and Design

Units

4

Engineering design, systems engineering, and product lifecycle management. Model-based approaches and modeling for the digital twin. Software tools and application to the design of a complete product from problem definition to production.

Not on the Fall 2026 schedule.

ENGRMAE 284 Fundamentals of Experimental Design

Units

4

Concurrent: ENGRMAE 184

Fundamentals and principles of statistical experimental design and analysis. Emphasis addresses understanding and use of designed experiments, response surfaces, linear regression modeling, process optimization, and development of links between empirical and theoretical models.

Not on the Fall 2026 schedule.

ENGRMAE 285 Engineering Design Under Uncertainty

Units

4

Introduces students to statistical and ML methods used in engineering design under uncertainty. Students learn how to probabilistically formulate a design problem, translate the formulations into a computer, and systematically find the solution.

Not on the Fall 2026 schedule.

ENGRMAE 286 Design for Human Movement

Units

4

Restrictions: Master of Engineering only

Introduces techniques for analysis and modeling of human locomotion, with a focus on lower-limb rehabilitating and robotic assistive devices. Discusses background and current research, with assignments covering independent reading, computer simulations, and a final project.

Offered: Fall 2026 (1 section)

ENGRMAE 287P Engineering Design and Simulation: Tools and Process

Units

4

Practical techniques and industry tools that improve engineering processes by simulating performance of design options prior to costly prototyping and manufacturing. Applicable to a variety of disciplines, simulation decreases the number of engineering issues that arise during design process.

Not on the Fall 2026 schedule.

ENGRMAE 291 Research Communication in Engineering

Units

4

Restrictions: School of Engineering students have the first consideration for enrollment

Guides students along research communication milestones by completion of a conference/journal publication, research proposal, MS thesis, or other significant publication. Peer review, response to reviewers, and a presentation are used to build skill and confidence.

Not on the Fall 2026 schedule.

ENGRMAE 294 Master of Science Thesis Project

Units

4

Repeatability: May be taken unlimited times

Tutorial in which masters-level students taking the comprehensive examination option undertake a masters-level research project.

Offered: Fall 2026 (40 sections)

ENGRMAE 295 Special Topics in Mechanical and Aerospace Engineering

Units

1-4

Repeatability: May be taken unlimited times as topics vary

Special topics by individual faculty in major fields of interest.

Offered: Fall 2026 (3 sections)

ENGRMAE 295P Special Topics in Mechanical and Aerospace Engineering

Units

4

Repeatability: May be taken unlimited times as topics vary

Restrictions: Master of Engineering only

Studies in selected areas of Mechanical and Aerospace Engineering. Topics addressed vary each quarter.

Offered: Fall 2026 (2 sections)

ENGRMAE 296 Master of Science Thesis Research

Units

1-16

Repeatability: May be taken unlimited times

Individual research or investigation conducted in the pursuit of preparing and completing the thesis required for the M.S. in Engineering.

Offered: Fall 2026 (43 sections)

ENGRMAE 297 Doctor of Philosophy Dissertation Research

Units

1-16

Repeatability: May be taken unlimited times

Individual research or investigation conducted in the pursuit of preparing and completing the dissertation required for the Ph.D. in Engineering.

Offered: Fall 2026 (42 sections)

ENGRMAE 298 Seminars in Mechanical and Aerospace Engineering

Units

1

Grading Option: Satisfactory/Unsatisfactory only

Repeatability: May be taken unlimited times

Presentation of advanced topics and reports of current research efforts in mechanical engineering. Required of all graduate students in mechanical engineering.

Offered: Fall 2026 (1 section)

ENGRMAE 299 Individual Research

Units

1-16

Repeatability: May be taken unlimited times

Restrictions: Consent of instructor to enroll

Individual research or investigation under the direction of an individual faculty member.

Offered: Fall 2026 (44 sections)