Mechl, Mtrls and Arspc Engrg (MMAE)

MMAE 100
Introduction to the Profession

Introduces the student to the scope of the engineering profession and its role in society, develops a sense of professionalism in the student, confirms and reinforces the student's career choices, and provides a mechanism for regular academic advising. Provides integration with other first-year courses. Applications of mathematics to engineering. Emphasis is placed on the development of professional communications and teamwork skills.

Lecture: 2 Lab: 1 Credits: 3
Satisfies: Communications (C)
MMAE 202
Mechanics of Solids

Newton’s law. Force and moment balance in vector form. Free body diagrams. Trusses. Distributed loads including fluid statics. Loads on a beam, shear force and bending moment diagrams. Stress, strain, and Hooke’s law. Thermal stresses. Internal shear and normal stresses in a beam. Shear stress and torsion. Friction (screws, belts). Computational methods in mechanics.

Prerequisite(s): PHYS 123 and MATH 152* and (CS 104* or CS 105* or CS 115*), An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 232
Design for Innovation

Design and development of mechanical systems. The design process, isometric sketching, engineering drawings, CAD, sustainable design, whole-system design and lifecycle thinking, design for product lifetime, lightweighting, technical writing, bio-inspired design process, mechanism and linkage design, actuators, and engineering and law. Team-based design and build projects focusing on sustainable design techniques, bio-inspired locomotion, and mechatronics.

Prerequisite(s): (CS 104 or CS 105 or CS 115) and MMAE 202*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 1 Lab: 3 Credits: 3
Satisfies: Communications (C)
MMAE 302
Advanced Mechanics of Solids

Singularity functions in bending. Moment and deflection of beams. Stress-transformation in 2 and 3D (from the perspective of matrix rotation, eigenvalues) and Mohr circle. Thin walled pressure vessels. Yield theories. Effective stress concept. Strain components and Hooke’s law in 3D. Energy methods for trusses, beams and frames. Stability of columns. Stress concentration factors and stress intensity factors. Cracks in 3 modes. computational methods in mechanics.

Prerequisite(s): MMAE 202 and MATH 252 and MATH 251
Lecture: 3 Lab: 0 Credits: 3
MMAE 304
Mechanics of Aerostructures

Loads on aircraft and flight envelopes. Singularity functions in bending moment and deflection of beams. Stress, strain and constitutive relations. Stress-transformation in 2 and 3D (from the perspective of matrix rotation, eigenvalues) and Mohr circle. Energy methods. Castigliano’s theorems. Torsion of open, closed and multi-cell tubes. Structural instability. Stress concentration factors and stress intensity factors. Cracks in 3 modes. Fatigue and cumulative damage.

Prerequisite(s): MMAE 202 and MATH 252 and MATH 251
Lecture: 3 Lab: 0 Credits: 3
MMAE 305
Dynamics

Kinematics of particles. Kinetics of particles. Newton's laws of motion, energy; momentum. Systems of particles. Kinematics of rigid bodies. Plane motion of rigid bodies: forces and accelerations, energy, momentum.

Prerequisite(s): MATH 252* and (MMAE 202 or CAE 286), An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 311
Compressible Flow

Regimes of compressible perfect-gas flow. Steady, quasi one-dimensional flow in passages. Effects of heat addition and friction in ducts. Design of nozzles, diffusers and wind tunnels. Simple waves and shocks in unsteady duct flow. Steady two-dimensional supersonic flow including oblique shocks and Prandtl-Meyer expansions.

Prerequisite(s): MMAE 320 and MMAE 313
Lecture: 3 Lab: 0 Credits: 3
MMAE 312
Aerodynamics of Aerospace Vehicles

Analysis of aerodynamic lift and drag forces on bodies. Potential flow calculation of lift on two-dimensional bodies; numerical solutions; source and vortex panels. Boundary layers and drag calculations. Aerodynamic characteristics of airfoils; the finite wing.

Prerequisite(s): MMAE 320 and MMAE 313 and MMAE 311*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 313
Fluid Mechanics

Basic properties of fluids in motion. Langrangian and Eulerian viewpoints, materials derivative, streamlines, etc. Continuity, energy, and linear and angular momentum equations in integral and differential forms. Integration of equations for one-dimensional forms and application to problems. Incompressible viscous flow; Navier-Stokes equations, parallel flow, pipe flow, and the Moody diagram. Introduction to laminar and turbulent boundary layers and free surface flows.

Prerequisite(s): MMAE 202 and MATH 252* and MATH 251 and MMAE 320*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 315
Aerospace Laboratory I

Basic skills for engineering research are taught, which include: analog electronic circuit analysis, fundamentals of digital data acquisition, measurements of pressure, temperature, flow rate, heat transfer, and static forces and moments; statistical data analysis.

Prerequisite(s): PHYS 221 and MMAE 350* and MMAE 311* and MMAE 313, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 2 Lab: 3 Credits: 4
Satisfies: Communications (C)
MMAE 319
Mechanical Laboratory I

Basic skills for engineering research are taught, which include: analog electronic circuit analysis; fundamentals of digital data acquisition; measurements of pressure, temperature, flow rate, heat transfer, and static forces and moments; and statistical date analysis.

Prerequisite(s): MMAE 313 and MMAE 323* and PHYS 221, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 3 Credits: 4
Satisfies: Communications (C)
MMAE 320
Thermodynamics

Introduction to thermodynamics including properties of matter; First Law of Thermodynamics and its use in analyzing open and closed systems; limitations of the Second Law of Thermodynamics; entropy.

Prerequisite(s): CHEM 124 or CHEM 122
Lecture: 3 Lab: 0 Credits: 3
MMAE 321
Applied Thermodynamics

Analysis of thermodynamic systems including energy analysis; analysis and design of power and refrigeration cycles; gas mixtures and chemically reacting systems; chemical equilibrium; combustion and fuel cells.

Prerequisite(s): MMAE 320 and MMAE 313*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 323
Heat and Mass Transfer

Basic laws of transport phenomena, including: steady-state heat conduction; multi-dimensional and transient conduction; forced internal and external convection; natural convection; heat exchanger design and analysis; fundamental concepts of radiation; shape factors and network analysis; diffusive and convective mass transfer; phase change, condensation and boiling.

Prerequisite(s): MMAE 320 and MMAE 313
Lecture: 3 Lab: 0 Credits: 3
MMAE 332
Design of Machine Elements

Students will gain an understanding of the analysis of basic elements used in machine design. These include the characteristics of gears, gear trains, bearings, shafts, keys, mechanical springs, brakes and clutches, and flexible elements.

Prerequisite(s): (MMAE 302 or MMAE 304) and MMAE 232*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 350
Computational Mechanics

Explores the use of numerical methods to solve engineering problems in solid mechanics, fluid mechanics and heat transfer. Topics include matrix algebra, nonlinear equations of one variable, systems of linear algebraic equations, nonlinear equations of several variables, classification of partial differential equations in engineering, the finite difference method, and the finite element method. Same a MATH 350.

Prerequisite(s): MATH 251 and MATH 252* and MMAE 202 and (CS 104 or CS 105 or CS 115), An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 352
Aerospace Propulsion

Analysis and performance of various jet and rocket propulsive devices. Foundations of propulsion theory. Design and analysis of inlets, compressors, combustion chambers, and other elements of propulsive devices. Emphasis is placed on mobile power plants for aerospace applications.

Prerequisite(s): MMAE 311
Lecture: 3 Lab: 0 Credits: 3
MMAE 362
Physics of Solids

Introduction of crystallography, crystal structure, crystal systems, symmetry, stereographic representation. Crystal structures in materials. X-ray diffraction; character of X-rays and their interaction with crystals; diffraction methods. Structure of the atom and the behavior of electrons in solids. Band theory of solids. Electrical, thermal and magnetic behavior. Theory of phase stability in alloys. Equivalent to PHYS 437.

Prerequisite(s): MS 201
Lecture: 3 Lab: 0 Credits: 3
MMAE 365
Structure and Properties of Materials I

Crystal structures and structure determination. Crystal defects, intrinsic and extrinsic properties, diffusion, kinetics of transformations, evolution and classification of microstructures.

Prerequisite(s): MMAE 320* and MS 201, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 370
Materials Laboratory I

Introduction to materials characterization techniques including specimen preparation, metallography, optical and scanning electron microscopy, temperature measurement, data acquisition analysis and presentation.

Prerequisite(s): MMAE 365* or MMAE 371*, An asterisk (*) designates a course which may be taken concurrently.
Credit: Variable
MMAE 372
Aerospace Materials Lab

Mechanical behavior and microstructural characterization of aerospace materials including advanced metal alloys, polymers, ceramics, and composites. Introduction to mechanical testing techniques for assessing the properties and performance of aerospace materials. Evaluation of structural performance in terms of materials selection, processing, service conditions, and design.

Prerequisite(s): MMAE 202 and MS 201
Lecture: 3 Lab: 3 Credits: 3
Satisfies: Communications (C)
MMAE 373
Instrumentation and Measurements Laboratory

Basic skills for engineering research are taught, which include: analog electronic circuit analysis, fundamentals of digital data acquisition and statistical data analysis. Laboratory testing methods including solid mechanics: tension, torsion, hardness, impact, toughness, fatigue and creep. Design of experiments.

Prerequisite(s): PHYS 221
Lecture: 2 Lab: 3 Credits: 4
Satisfies: Communications (C)
MMAE 375
Engineering Materials for the 21st Century

Science and applications of engineering materials, including emerging materials for the 21st century, particularly energy materials for solar cells, fuel cells, and batteries; electronic materials for computer chips, integrated circuits, and cell phones; structural materials for airplanes, automobiles, and sports equipment; smart materials for sensors, actuators, and speakers; biological materials for prosthetic bones and joints; optical materials for high-speed internet signal transmission; and magnetic materials for information storage.

Prerequisite(s): CHEM 124 or CHEM 122
Lecture: 3 Lab: 0 Credits: 3
MMAE 410
Aircraft Flight Mechanics

Airplane performance: takeoff, rate of climb, time to climb, ceilings, range and endurance, operating limitations, descent and landing. Helicopters and V/STOL aircraft. Airplane static stability and control: longitudinal stability, directional stability, and roll stability. Airplane equations of motion: kinematics and dynamics of airplanes, and stability derivatives. Dynamic response: longitudinal modes of motion, lateral modes of motion. Introduction to aircraft control.

Prerequisite(s): MMAE 443* and MMAE 312, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 411
Spacecraft Dynamics

Orbital mechanics: two-body problem, Kepler's equation, classical orbital elements, introduction to orbit perturbations. Mission analysis: orbital maneuvers, earth orbiting and interplanetary missions. Spacecraft attitude dynamics: three-dimensional kinematics of rigid bodies, Euler angles, equations of motion. Attitude stability and control: spin stabilization, momentum wheels and gyros, gravity gradient stabilization.

Prerequisite(s): MMAE 443* and MMAE 305 and MATH 252, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
MMAE 412
Spacecraft Design I

Spacecraft systems design including real world mission analysis and orbit design, system engineering, launch vehicle requirements, attitude determination and control, propulsion, structural design, power systems thermal management, and telecommunications. Semester-long project is focused on the integration of multiple systems into a coherent spacecraft system to achieve specific mission requirements.(1-6-3)

Prerequisite(s): MMAE 411
Lecture: 2 Lab: 1 Credits: 3
Satisfies: Communications (C)
MMAE 414
Aircraft Design I

Aircraft design including aerodynamic, structural, and power plant characteristics to achieve performance goals. Focus on applications ranging from commercial to military and from manpowered to high-speed to long-duration aircraft. Semester project is a collaborative effort in which small design groups complete the preliminary design cycle of an aircraft to achieve specific design requirements.

Prerequisite(s): (MMAE 302 or MMAE 304) and MMAE 312 and MMAE 410* and MMAE 352, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 2 Lab: 1 Credits: 3
Satisfies: Communications (C)
MMAE 415
Aerospace Laboratory II

Advanced skills for engineering research are taught, which include experiments with digital electronic circuit analysis, dynamic data acquisition techniques, fundamentals of fluid power system design, GPS and inertial guidance systems, air-breathing propulsion, and fly-by-wire control.

Prerequisite(s): (MMAE 315 or MMAE 319) and MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 2 Lab: 3 Credits: 4
Satisfies: Communications (C)
MMAE 418
Fluid Power for Aerospace Applications

Basic principles and concepts needed for the design and troubleshooting of fluid power systems. An emphasis is placed on flight control and simulation of hydraulic systems and is extended to mobile and industrial applications.

Prerequisite(s): MMAE 313 and MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 2 Lab: 3 Credits: 3
MMAE 419
Mechanical Laboratory II

Mechanical Laboratory II Laboratory testing methods in the areas of solid mechanics and control of dynamical systems: tension, torsion, bending, hardness, Charpy impact, fracture toughness, fatigue, stress measurement with strain gages and P, PD, PID control. Design of experiments.

Prerequisite(s): MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 4
Satisfies: Communications (C)
MMAE 425
Direct Energy Conversion

A study of various methods available for direct conversion of thermal energy into electrical energy. Introduction to the principles of operation of magneto-hydrodynamic generators, thermoelectric devices, thermionic converters, fuel cells and solar cells.

Prerequisite(s): (MMAE 321 and PHYS 224) or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 426
Nuclear, Fossil-Fuel, and Sustainable Energy Systems

Principles, technology, and hardware used for conversion of nuclear, fossil-fuel, and sustainable energy into electric power will be discussed. Thermodynamic analysis -- Rankine cycle. Design and key components of fossil-fuel power plants. Nuclear fuel, reactions, materials. Pressurized water reactors (PWR). Boiling water reactors (BWR). Canadian heavy water (CANDU) power plants. Heat transfer from the nuclear fuel elements. Introduction to two phase flow: flow regimes; models. Critical heat flux. Environmental effects of coal and nuclear power. Design of solar collectors. Direct conversion of solar energy into electricity. Wind power. Geothermal energy. Energy conservation and sustainable buildings. Enrichment of nuclear fuel. Nuclear weapons and effects of the explosions.

Prerequisite(s): MMAE 323 or CHE 302
Lecture: 3 Lab: 0 Credits: 3
MMAE 432
Design of Mechanical Systems

Capstone design courses taken during the senior year. At the end of this course, students should have a good grasp of the design process and how to integrate design with the analysis taught in previous courses. The course serves as a guide to transferring the skills that the students learned in the classroom into becoming an engineer in industry or a graduate student in the field. The focus of the class will be a team-based project conceptualized and developed by the students.

Prerequisite(s): MMAE 332
Lecture: 1 Lab: 3 Credits: 3
Satisfies: Communications (C)
MMAE 433
Design of Thermal Systems

Application of principles of fluid mechanics, heat transfer, and thermodynamics to design of components of engineering systems. Examples are drawn from power generation, environmental control, air and ground transportation, and industrial processes, as well as other industries. Groups of students work on projects for integration of these components and design of thermal systems.

Prerequisite(s): (MMAE 321 or Graduate standing) and (MMAE 323 or Graduate standing)
Lecture: 3 Lab: 0 Credits: 3
Satisfies: Communications (C)
MMAE 440
Introduction to Robotics

Classification of robots; kinematics and inverse kinematics of manipulators; trajectory planning; robot dynamics and equations of motion; position control.

Prerequisite(s): (MMAE 305 or Graduate standing) and (MMAE 315 or MMAE 319 or Graduate standing)
Lecture: 3 Lab: 0 Credits: 3
MMAE 441
Spacecraft and Aircraft Dynamics

Kinematics and dynamics of particles, systems of particles, and rigid bodies; translating and rotating reference frames; Euler angles. Aircraft longitudinal and lateral static stability; aircraft equations of motion. Spacecraft orbital dynamics; two-body problem classical orbital elements; orbital maneuvers.

Lecture: 3 Lab: 0 Credits: 3
MMAE 443
Systems Analysis and Control

Mathematical modeling of dynamic systems; linearization. Laplace transform; transfer functions; transient and steady-state response. Feedback control of single-input, single-output systems. Routh stability criterion. Root-locus method for control system design. Frequency-response methods; Bode plots; Nyquist stability criterion.

Prerequisite(s): (MMAE 305 or Graduate standing) and (MATH 252 or Graduate standing)
Lecture: 3 Lab: 0 Credits: 3
MMAE 444
Design for Manufacture

The materials/design/manufacturing interface in the production of industrial and consumer goods. Material and process selection; process capabilities; modern trends in manufacturing. Life cycle engineering; competitive aspects of manufacturing; quality, cost, and environmental considerations.

Prerequisite(s): MMAE 485
Lecture: 3 Lab: 0 Credits: 3
MMAE 445
Computer-Aided Design and Manufacturing

Explores the principles of blueprints, geometric & dimensional tolerancing, parametric modeling (curve, surface, solid, mesh), mechanical assemblies, finite element analysis (FEA) studies, and design optimization (DFMA) using computer aided design (CAD) software. In addition to the applications of numerical controller programming (G-Code), toolpath generation, and machine simulation using computer aided manufacturing (CAM) software.

Lecture: 2 Lab: 1 Credits: 3
MMAE 450
Computational Mechanics II

Explores the use of numerical methods to solve engineering problems in continuum mechanics, fluid mechanics, and heat transfer. Topics include partial differential equations and differential and integral eigenvalue problems. As tools for the solution of such equations, we discuss methods of linear algebra, finite difference and finite volume methods, spectral methods, and finite element methods. The course contains an introduction to the use of a commercial finite element package for the solution of complex partial differential equations.

Prerequisite(s): MMAE 350 or MATH 350
Lecture: 3 Lab: 0 Credits: 3
MMAE 451
Finite Element Methods in Engineering

Principles of minimum potential energy of structures--stiffness matrices, stress matrices and assembly process of global matrices. The finite element method for two-dimensional problems: interpolation functions, area coordinates, isoperimetric elements, and problems of stress concentration. General finite element codes: data generation and checks, ill-conditioned problems, and node numbering.

Prerequisite(s): (MMAE 202 and MATH 252 and MMAE 350) or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 453
Electrified Vehicle Powertrains

This course provides insight into the electrified propulsion systems for automobiles (including plug-in electric and hybrid-electric vehicles). Students will receive the tools and practical understanding required to analyze a variety of vehicle powertrain architectures and predict the vehicle energy consumption and performance. This course will explore the power and energy requirements of driving, provide students with an understanding of the working principles of internal combustion engines, electric motors, and batteries and explore how engineers combine them to maximize efficiency and performance. Students will apply the analytical tools presented in the course to extensive test datasets from Argonne National Laboratory in order to study topics such as vehicle loads, emissions control, vehicle efficiency, the impact of electrification and future challenges in the transportation sector.

Prerequisite(s): MMAE 321 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 461
Failure Analysis

This course provides comprehensive coverage of both the "how" and "why" of metal and ceramic failures and gives students the intellectual tools and practical understanding needed to analyze failures from a structural point of view. Its proven methods of examination and analysis enable students to reach correct, fact-based conclusions on the causes of metal failures, present and defend these conclusions before highly critical bodies, and suggest design improvements that may prevent future failures. Analytical methods presented in the course include stress analysis, fracture mechanics, fatigue analysis, corrosion science, and nondestructive testing. Numerous case studies illustrate the application of basic principles of metallurgy and failure analysis to a wide variety of real-world situations.

Prerequisite(s): MS 201 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 463
Structure and Properties of Materials II

Continuation of MMAE 365. Solidification structures, diffusional and diffusionless transformations. Structure-property relationships in commercial materials.

Prerequisite(s): MMAE 365 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 465
Electrical, Magnetic, and Optical Properties of Materials

Electronic structure of solids, semiconductor devices and their fabrication. Ferroelectric and piezoelectric materials. Magnetic properties, magnetocrystalline anisotropy, magnetic materials and devices. Optical properties and their applications, generation and use of polarized light. Same as PHYS 465.

Prerequisite(s): MMAE 365 or PHYS 348 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 470
Introduction to Polymer Science

An introduction to the basic principles that govern the synthesis, processing and properties of polymeric materials. Topics include classifications, synthesis methods, physical and chemical behavior, characterization methods, processing technologies and applications. Credit will only be granted for CHE 470, CHEM 470, MMAE 470.

Prerequisite(s): (CHEM 124 and MATH 251 and PHYS 221) or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 472
Advanced Aerospace Materials

Principles of materials and process selection for minimum weight design in aerospace applications. Advanced structural materials for aircraft fuselage and propulsion applications. Materials for space vehicles and satellites. Environmental degradation in aerospace materials.

Prerequisite(s): MMAE 372
Lecture: 3 Lab: 0 Credits: 3
MMAE 473
Corrosion: Materials Reliability and Protective Measures

This course covers the basics of corrosion science (fundamentals and mechanisms) and corrosion engineering (protection and control). The various forms of corrosion (uniform, pitting, crevice, stress corrosion cracking, etc.) are illustrated along with practical protective measures (coatings, inhibitors, electrochemical protection, materials upgrade, etc.). The course highlights the concept of alloy design to minimize corrosion, the properties of steels, stainless steels, and high-performance alloys along with case studies of corrosion failures and lessons learned. In addition, the special aspects of corrosion in batteries, fuel cells, electrolyzers, and photovoltaic cells will be discussed and illustrated with examples.

Prerequisite(s): MMAE 365 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 476
Materials Laboratory II

Team design projects focused on the processing and/or characterization of metallic, non-metallic, and composite materials. Students will work on a capstone design problem with realistic constraints, perform experimental investigations to establish relationships between materials structures, processing routes and properties, and utilize statistical or computational methods for data analysis.

Prerequisite(s): MMAE 370 or Graduate standing
Credit: Variable
MMAE 482
Composites

This course focuses on metal, ceramic and carbon matrix composites. Types of composite. Synthesis of precursors. Fabrication of composites. Design of composites. Mechanical properties and environmental effects. Applications.

Prerequisite(s): MS 201 or Graduate standing
Lecture: 3 Lab: 0 Credits: 3
MMAE 484
Materials and Process Selection

Decision analysis. Demand, materials and processing profiles. Design criteria. Selection schemes. Value and performance oriented selection. Case studies.

Lecture: 3 Lab: 0 Credits: 3
MMAE 485
Manufacturing Processes

Principles of material forming and removal processes and equipment. Force and power requirements, surface integrity, final properties and dimensional accuracy as influenced by material properties and process variables. Design for manufacturing. Factors influencing choice of manufacturing process.

Prerequisite(s): MMAE 202 and MS 201
Lecture: 3 Lab: 0 Credits: 3
MMAE 490
Crystallography and Crystal Defect

Geometrical crystallography - formal definitions of lattices, systems, point groups, etc. Mathematical methods of crystallographic analysis. Diffraction techniques: X-ray, electron and neutron diffraction. Crystal defects and their influence on crystal growth and crystal properties.

Lecture: 3 Lab: 0 Credits: 3
MMAE 491
Undergraduate Research

Student undertakes an independent research project under the guidance of an MMAE faculty member. Requires the approval of the MMAE Department Undergraduate Studies Committee.

Credit: Variable
MMAE 494
Undergraduate Design Project

Student undertakes an independent design project under the guidance of an MMAE faculty member. Requires the approval of the MMAE Department Undergraduate Studies Committee.

Credit: Variable
MMAE 497
Undergraduate Special Topics

Special individual design project, study, or report as defined by a faculty member of the department. Requires junior or senior standing and written consent of both academic advisor and course instructor.

Credit: Variable