Twin Cities campus
 
Twin Cities Campus

Aerospace Engineering and Mechanics B.A.E.M.

Aerospace Engineering & Mechanics
College of Science and Engineering
  • Program Type: Baccalaureate
  • Requirements for this program are current for Fall 2017
  • Required credits to graduate with this degree: 122
  • Required credits within the major: 102
  • Degree: Bachelor of Aerospace Engineering and Mechanics
The mission of the bachelor of aerospace engineering and mechanics (B.A.E.M.) program is to produce graduates who are prepared to enter and sustain the practice of aerospace engineering and related fields, or to pursue advanced studies. This mission is consistent with the mission of the University in learning and teaching, and with the mission of the College of Science and Engineering: to provide a rigorous and stimulating education for its undergraduate majors and to provide programs of instruction in engineering that meet nationally accepted standards for practice of the profession of engineering. Aerospace engineering is a multidisciplinary field that encompasses many areas of science and engineering and plays a major role in the technological advancement of society. As a constantly changing profession, aerospace engineering is concerned with a wide range of problems and the latest technologies. An aerospace engineer must have a comprehensive fundamental education in mathematics, physical sciences, and engineering sciences. The four-year program leading to the B.A.E.M. provides this broad background. The program is accredited by the Engineering Accreditation Commission of ABET.
Program Delivery
This program is available:
  • via classroom (the majority of instruction is face-to-face)
Admission Requirements
Students must complete 8 courses before admission to the program.
Freshman and transfer students are usually admitted to pre-major status before admission to this major.
For information about University of Minnesota admission requirements, visit the Office of Admissions website.
Required prerequisites
Mathematics Core
Honors math (MATH 1571H, 1572H, (2573H or 2574H)) may be taken in place of the listed courses
MATH 1371 - CSE Calculus I [MATH] (4.0 cr)
or MATH 1271 - Calculus I [MATH] (4.0 cr)
MATH 1372 - CSE Calculus II (4.0 cr)
or MATH 1272 - Calculus II (4.0 cr)
MATH 2374 - CSE Multivariable Calculus and Vector Analysis (4.0 cr)
or MATH 2263 - Multivariable Calculus (4.0 cr)
Required prerequisites
Physics Core
PHYS 1301W - Introductory Physics for Science and Engineering I [PHYS, WI] (4.0 cr)
or PHYS 1401V - Honors Physics I [PHYS, WI] (4.0 cr)
or PHYS 1501V - Honors Introduction to Mechanics [PHYS, WI] (4.0 cr)
PHYS 1302W - Introductory Physics for Science and Engineering II [PHYS, WI] (4.0 cr)
or PHYS 1402V - Honors Physics II [PHYS, WI] (4.0 cr)
or PHYS 1502V - Honors Introduction to Electricity and Magnetism [PHYS, WI] (4.0 cr)
Required prerequisites
Chemistry Core
CHEM 1061 - Chemical Principles I [PHYS] (3.0 cr)
CHEM 1065 - Chemical Principles I Laboratory [PHYS] (1.0 cr)
or CHEM 1071H - Honors Chemistry I [PHYS] (3.0 cr)
CHEM 1075H - Honors Chemistry I Laboratory [PHYS] (1.0 cr)
Required prerequisites
Statics Core
AEM 2011 - Statics (3.0 cr)
General Requirements
All students in baccalaureate degree programs are required to complete general University and college requirements including writing and liberal education courses. For more information about University-wide requirements, see the liberal education requirements. Required courses for the major, minor or certificate in which a student receives a D grade (with or without plus or minus) do not count toward the major, minor or certificate (including transfer courses).
Program Requirements
AEM Core
AEM 2012 - Dynamics (3.0 cr)
AEM 2301 - Mechanics of Flight (3.0 cr)
AEM 3031 - Deformable Body Mechanics (3.0 cr)
AEM 4201 - Fluid Mechanics (4.0 cr)
AEM 3101 - Mathematical Modeling and Simulation in Aerospace Engineering (2.0 cr)
AEM 4202 - Aerodynamics (4.0 cr)
AEM 4301 - Orbital Mechanics (3.0 cr)
AEM 4501 - Aerospace Structures (3.0 cr)
AEM 4601 - Instrumentation Laboratory (3.0 cr)
AEM 4331 - Aerospace Vehicle Design (4.0 cr)
AEM 4602W - Aeromechanics Laboratory [WI] (4.0 cr)
AEM 4203 - Aerospace Propulsion (4.0 cr)
AEM 4303W - Flight Dynamics and Control [WI] (3.0 cr)
Math, Science, and Engineering
CSCI 1113 - Introduction to C/C++ Programming for Scientists and Engineers (4.0 cr)
EE 3005 - Fundamentals of Electrical Engineering (4.0 cr)
EE 3006 - Fundamentals of Electrical Engineering Laboratory (1.0 cr)
ME 3324 - Introduction to Thermal Science (3.0 cr)
or ME 3333 - Heat Transfer (3.0 cr)
MATS 2001 - Introduction to the Science of Engineering Materials (3.0 cr)
or MATS 3011 - Introduction to Materials Science and Engineering (3.0 cr)
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity (4.0 cr)
or PHYS 2303 - Physics III: Physics of Matter (4.0 cr)
or PHYS 2503H - Honors Physics III (4.0 cr)
MATH 2373 - CSE Linear Algebra and Differential Equations (4.0 cr)
or MATH 2243 - Linear Algebra and Differential Equations (4.0 cr)
or MATH 2574H - Honors Calculus IV (4.0 cr)
Technical Electives
One technical elective course may be 2xxx or above, while the other two must be 4xxx or above. Only one course may be an independent study course or a global seminar. Courses like BAE 4744, IOFT 4101, most IE courses, and courses from the School of Management cannot be used to fulfill this requirement.
Take 3 or more course(s) totaling 9 or more credit(s) from the following:
Lower Level Technical Electives
Other 2xxx and 3xxx level Math, Science, or Engineering courses may also count with permission. CHEM 1062 and 1066 are exceptions to the 2xxx or above lower level requirement.
Take 0 - 4 credit(s) from the following:
· AST 2001 - Introduction to Astrophysics (4.0 cr)
· STAT 3021 - Introduction to Probability and Statistics (3.0 cr)
· IE 3521 - Statistics, Quality, and Reliability (4.0 cr)
· BBE 2201 - Renewable Energy and the Environment [TS] (3.0 cr)
· BIOC 3021 - Biochemistry (3.0 cr)
· CSCI 2021 - Machine Architecture and Organization (4.0 cr)
· MATH 2283 - Sequences, Series, and Foundations (3.0 cr)
· ME 2011 - Introduction to Engineering (4.0 cr)
· ME 3331 - Thermodynamics (3.0 cr)
· STAT 3011 - Introduction to Statistical Analysis [MATH] (4.0 cr)
· CHEM 1066 - Chemical Principles II Laboratory [PHYS] (1.0 cr)
CHEM 1062 - Chemical Principles II [PHYS] (3.0 cr)
· Fluids Technical Electives
A faculty advisor is required for AEM 4295. Honors students may choose to take AEM 5247 or 5253.
Take 0 or more course(s) from the following:
· AEM 4295 - Problems in Fluid Mechanics (1.0-3.0 cr)
· AEM 4247 - Hypersonic Aerodynamics (3.0 cr)
or AEM 5247 - Hypersonic Aerodynamics (3.0 cr)
· AEM 4253 - Computational Fluid Mechanics (3.0 cr)
or AEM 5253 - Computational Fluid Mechanics (3.0 cr)
· Aerospace Systems Technical Electives
A faculty advisor is required for AEM 4495. Honors students may choose to take AEM 5247 or 5253.
Take 0 or more course(s) from the following:
· AEM 4305 - Spacecraft Attitude Dynamics and Control (3.0 cr)
· AEM 4321 - Automatic Control Systems (3.0 cr)
· AEM 4371 - Helicopter Aerodynamics (3.0 cr)
· AEM 4495 - Problems in Aerospace Systems (3.0 cr)
· AEM 5401 - Intermediate Dynamics (3.0 cr)
· AEM 5451 - Optimal Estimation (3.0 cr)
· AEM 5651 - Aeroelasticity (3.0 cr)
· Build Courses
Only one course may be used as a technical elective.
Take 0 - 1 course(s) from the following:
· AEM 4333 - Aerospace Design: Special Projects (3.0 cr)
· AEM 4391 - Independent Design Project (3.0 cr)
· AEM 5333 - Design-to-Flight: Small Uninhabited Aerial Vehicles (3.0 cr)
· Structures and Solids Technical Electives
A faculty advisor is required for AEM 4595. Honors students may choose to take AEM 5581.
Take 0 or more course(s) from the following:
· AEM 4502 - Computational Structural Analysis (3.0 cr)
· AEM 4511 - Mechanics of Composite Materials (3.0 cr)
· AEM 4595 - Problems in Mechanics and Materials (1.0-3.0 cr)
· AEM 5501 - Continuum Mechanics (3.0 cr)
· AEM 5503 - Theory of Elasticity (3.0 cr)
· AEM 4581 - Mechanics of Solids (3.0 cr)
or AEM 5581 - Mechanics of Solids (3.0 cr)
· Honors Thesis Technical Elective
Using AEM 4894H as a technical elective requires completion of your honors thesis in order to complete your degree.
Take 0 or more course(s) from the following:
· AEM 4894H - Senior Honors Thesis (3.0 cr)
· Other Possible Technical Electives
Any mathematics, science, or engineering course of technical nature that is not listed below may be used as technical electives by permission. Contact the AEM Director of Undergraduate Studies.
Take 0 or more course(s) from the following:
· AST 4001 - Astrophysics I (4.0 cr)
· AST 5022 - Relativity, Cosmology, and the Universe (4.0 cr)
· BIOL 4003 - Genetics (3.0 cr)
· CSCI 4611 - Programming Interactive Computer Graphics and Games (3.0 cr)
· CSCI 5551 - Introduction to Intelligent Robotic Systems (3.0 cr)
· EE 4233 - State Space Control System Design (3.0 cr)
· IE 5111 - Systems Engineering I (2.0 cr)
· MATH 4152 - Elementary Mathematical Logic (3.0 cr)
· MATH 4242 - Applied Linear Algebra (4.0 cr)
· MATH 4428 - Mathematical Modeling (4.0 cr)
· MATH 4512 - Differential Equations with Applications (3.0 cr)
· MATH 4567 - Applied Fourier Analysis (4.0 cr)
· MATH 4603 - Advanced Calculus I (4.0 cr)
· MATH 5583 - Complex Analysis (4.0 cr)
· MATH 5587 - Elementary Partial Differential Equations I (4.0 cr)
· ME 5286 - Robotics (4.0 cr)
· ME 5341 - Case Studies in Thermal Engineering and Design (4.0 cr)
· ME 5351 - Computational Heat Transfer (4.0 cr)
· ME 5446 - Introduction to Combustion (4.0 cr)
· MOT 4010 - Management of Science and Technology in the Middle East, Global Seminar [GP] (3.0 cr)
· PHYS 4051 - Methods of Experimental Physics I (5.0 cr)
· PHYS 4001 - Analytical Mechanics (4.0 cr)
Upper Division Writing Intensive within the Major
Students are required to take one upper division writing intensive course within the major. If that requirement has not been satisfied within the core major requirements, students must choose one course from the following list. Some of these courses may also fulfill other major requirements.
Take 0 - 1 course(s) from the following:
· AEM 4303W - Flight Dynamics and Control [WI] (3.0 cr)
· AEM 4602W - Aeromechanics Laboratory [WI] (4.0 cr)
Program Sub-plans
A sub-plan is not required for this program.
 
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MATH 1371 - CSE Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1142/1271/1281/1371/1571H
Typically offered: Every Fall & Spring
Differentiation of single-variable functions, basics of integration of single-variable functions. Applications: max-min, related rates, area, curve-sketching. Use of calculator, cooperative learning. prereq: CSE or pre-bioprod concurrent registration is required (or allowed) in biosys engn (PRE), background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended
MATH 1271 - Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00067 - Math 1271/Math 1281/Math 1371/
Typically offered: Every Fall, Spring & Summer
Differential calculus of functions of a single variable, including polynomial, rational, exponential, and trig functions. Applications, including optimization and related rates problems. Single variable integral calculus, using anti-derivatives and simple substitution. Applications may include area, volume, work problems. prereq: 4 yrs high school math including trig or satisfactory score on placement test or grade of at least C- in [1151 or 1155]
MATH 1372 - CSE Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/1282/1252/1372/1572
Typically offered: Every Spring
Techniques of integration. Calculus involving transcendental functions, polar coordinates, Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. Use of calculators, cooperative learning. prereq: Grade of at least C- in [1371 or equiv], CSE or pre-Bioprod/Biosys Engr
MATH 1272 - Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/1282/1252/1372/1572
Typically offered: Every Fall, Spring & Summer
Techniques of integration. Calculus involving transcendental functions, polar coordinates. Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. prereq: [1271 or equiv] with grade of at least C-
MATH 2374 - CSE Multivariable Calculus and Vector Analysis
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2263/2373/2573H/3251
Typically offered: Every Fall & Spring
Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes theorems. Use of computer technology. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, CSE or pre-Bioprod/Biosys Engr
MATH 2263 - Multivariable Calculus
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2263/2373/2573H/3251
Typically offered: Every Fall, Spring & Summer
Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes Theorems. prereq: [1272 or 1372 or 1572] w/grade of at least C-
PHYS 1301W - Introductory Physics for Science and Engineering I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00078
Typically offered: Every Fall, Spring & Summer
Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, structure of matter. Applications to mechanical systems. prereq: concurrent registration is required (or allowed) in Math 1271 or concurrent registration is required (or allowed) in Math 1371 or concurrent registration is required (or allowed) in Math 1571
PHYS 1401V - Honors Physics I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00078
Grading Basis: A-F only
Typically offered: Every Fall
Comprehensive, calculus-level general physics. Emphasizes use of fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles. Structure of matter, with applications to mechanical systems.
PHYS 1501V - Honors Introduction to Mechanics (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00078 - Phys 1201W/Phys1301W/Phys1401V
Grading Basis: A-F only
Typically offered: Every Fall
Principles of mechanics for those with full year of calculus/equivalent of one year of high-school physics. Introduction to kinematics, forces, momentum/energy, conservation laws, angular momentum, rigid body motion, gravity, simple harmonic motion, waves. prereq: One year of high school physics, one year of college-level calculus (or a grade of 5 on the BC-level AP calculus exam), Honors, permission of UHP
PHYS 1302W - Introductory Physics for Science and Engineering II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00079
Typically offered: Every Fall & Spring
Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, fields, structure of matter. Applications to electromagnetic phenomena. prereq: 1301W, concurrent registration is required (or allowed) in Math 1272 or Math 1372 or Math 1572
PHYS 1402V - Honors Physics II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00079 - Phys 1202W/1302W/1402V
Grading Basis: A-F only
Typically offered: Every Spring
Fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles, fields. Structure of matter, with applications to electro-magnetic phenomena. prereq: 1401V, honors student or permission of University Honors Program
PHYS 1502V - Honors Introduction to Electricity and Magnetism (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00079 - Phys 1202W/1302W/1402V
Grading Basis: A-F only
Typically offered: Every Spring
Principles of electricity/magnetism for those with full year of calculus/equivalent of one year of high-school physics. Introduction to electrostatics, magnetostatics, electrodynamics, electric/magnetic properties of materials, circuits, Maxwell's equations, electromagnetic waves. prereq: 1501V, honors
CHEM 1061 - Chemical Principles I (PHYS)
Credits: 3.0 [max 3.0]
Course Equivalencies: 01884 - Chem 1061/Chem 1071H
Typically offered: Every Fall, Spring & Summer
Atomic theory, periodic properties of elements. Thermochemistry, reaction stoichiometry. Behavior of gases, liquids, and solids. Molecular/ionic structure/bonding. Organic chemistry and polymers. energy sources, environmental issues related to energy use. Prereq-Grade of at least C- in [1011 or 1015] or [passing placement exam, concurrent registration is required (or allowed) in 1065]; intended for science or engineering majors; concurrent registration is required (or allowed) in 1065; registration for 1065 must precede registration for 1061
CHEM 1065 - Chemical Principles I Laboratory (PHYS)
Credits: 1.0 [max 1.0]
Course Equivalencies: 01878 - Chem 1065/Chem 1075H
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Basic laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and proper treatment of hazardous wastes. prereq: concurrent registration is required (or allowed) in 1061
CHEM 1071H - Honors Chemistry I (PHYS)
Credits: 3.0 [max 3.0]
Course Equivalencies: 01884 - Chem 1061/Chem 1071H
Grading Basis: A-F only
Typically offered: Every Fall
Advanced introduction to atomic theory. Periodic properties of elements. Behavior of gases, liquids, and solids. Molecular/ionic structure, bonding. Aspects of organic chemistry, spectroscopy, and polymers. Mathematically demanding quantitative problems. Writing for scientific journals. prereq: Honors student, permission of University Honors Program, concurrent registration is required (or allowed) in 1075H; registration for 1075H must precede registration for 1071H
CHEM 1075H - Honors Chemistry I Laboratory (PHYS)
Credits: 1.0 [max 1.0]
Course Equivalencies: 01878 - Chem 1065/Chem 1075H
Grading Basis: A-F only
Typically offered: Every Fall
Develop laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and the proper treatment of hazardous wastes. Prereq-&1071H, honors student, permission of University Honors Program.
AEM 2011 - Statics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Force/moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Distributed loads. Internal forces in beams. Properties of areas, second moments. Laws of friction. prereq: PHYS 1301W, [concurrent registration is required (or allowed) in Math 2374 or equiv], CSE
AEM 2012 - Dynamics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Kinematics/kinetics of particles. Newton's laws. Energy/momentum methods. Systems of particles. Kinematics/kinetics of planar motions of rigid bodies. Plane motion of rigid bodies. Mechanical vibrations. prereq: 2011, [concurrent registration is required (or allowed) in Math 2373 or equiv], CSE student
AEM 2301 - Mechanics of Flight
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Standard atmospheric properties, basic aerodynamics, generation of lift/drag. Airfoils, finite wings. Elements of aircraft performance and atmospheric flight mechanics. Introduction to MatLab and simulations for aircraft design. prereq: PHYS 1301W, [concurrent registration is required (or allowed) in MATH 2373 or equiv], CSE
AEM 3031 - Deformable Body Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Uniaxial loading/deformation. Stress/strain at point, Mohr's circle. Internal forces in beams. Material behavior, linear elasticity. Torsion of circular shafts. Bending of beams of symmetrical section. Column buckling. Statically indeterminate structures. prereq: [2011 or 2021 or [BMEN 3011, BMEN major]], [Math 2374 or equiv], [concurrent registration is required (or allowed) in Math 2373 or equiv], CSE
AEM 4201 - Fluid Mechanics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
First course in fluid mechanics. Stress/strain rate descriptions, fluid statics. Use of differential and finite control volume analysis with continuity. Momentum/energy equations, Bernoulli/Euler equations, vorticity, potential flow, incompressible viscous flow using Navier-Stokes equations, dimensional analysis, pipe flow, boundary layers, separation, introduction to turbulence. prereq: 2012, [Math 2373 or equiv], [Math 2374 or equiv], [CSE upper div or grad student]
AEM 3101 - Mathematical Modeling and Simulation in Aerospace Engineering
Credits: 2.0 [max 2.0]
Grading Basis: A-F only
Typically offered: Every Fall
Mathematical modeling of engineering systems/numerical methods for their solution. Use of MATLAB. Focus on systems found in aerospace engineering/mechanics. prereq: [MATH 2373 or equiv], AEM major
AEM 4202 - Aerodynamics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Inviscid aerodynamics. Subsonic, transonic, and supersonic airfoil theory; wing theory. Introduction to compressible flow, normal and oblique shock waves, Prandtl-Meyer expansions. Linearized compressible flow. Wing-body combinations. Computational aerodynamics methods. prereq: upper div CSE or grad, 4201
AEM 4301 - Orbital Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Spring
The two-body problem. Earth-satellite operations, rocket performance, reentry dynamics, space environments, interplanetary trajectories. Numerical simulations. Design project. prereq: [2012 or equiv], [MATH 2373 or equiv], [CSE upper div or grad student]
AEM 4501 - Aerospace Structures
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Advanced strength of materials analysis of elastic structures with aerospace applications; failure modes and criteria, buckling, matrix methods for analysis, plane truss design; energy and Castigliano methods for statically determinate and indeterminate structures; torsion and bending of asymmetrical thin-walled sections. Design project. prereq: CSE upper div or grad, 3031 or equiv
AEM 4601 - Instrumentation Laboratory
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to lab instrumentation. Computerized data acquisition. Statistical analysis of data. Time series data, spectral analysis. Transducers for measurement of solid, fluid, and dynamical quantities. Design of experiments. prereq: CSci 1113, EE 3005, EE 3006, [upper div BAEM]
AEM 4331 - Aerospace Vehicle Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F only
Typically offered: Every Fall
Multidisciplinary student teams perform conceptual designs of aerospace vehicles, components, missions, or systems that incorporate realistic constraints/applicable engineering standards. Papers on professional ethics/contemporary aerospace issues. Oral preliminary/critical design reviews. prereq: [2301, 4202, AEM sr] or instr consent
AEM 4602W - Aeromechanics Laboratory (WI)
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Experimental methods/design in fluid/solid mechanics. Wind tunnel/water channel experiments with flow visualization, pressure, velocity, force measurements. Measurement of stresses/strains/displacements in solids/ structures: stress concentrations, materials behavior, structural dynamics. Computerized data acquisition/analysis, error analysis, data reduction. Experiment design. Written/oral reports. Lab ethics. Writing intensive. prereq: 4201, 4501, 4601, [WRIT 1301 or equiv], [CSE upper div or grad]
AEM 4203 - Aerospace Propulsion
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Basic one-dimensional flows: isentropic, area change, heat addition. Overall performance characteristics of propellers, ramjets, turbojets, turbofans, rockets. Performance analysis of inlets, exhaust nozzles, compressors, burners, and turbines. Rocket flight performance, single-/multi-stage chemical rockets, liquid/solid propellants. prereq: 4202, [CSE upper div or grad student]
AEM 4303W - Flight Dynamics and Control (WI)
Credits: 3.0 [max 3.0]
Prerequisites: [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or #
Grading Basis: A-F only
Typically offered: Every Spring
Forces/moments, trim, linearization, transfer functions, dynamic response characteristics for aircraft. Aircraft stability/control derivatives, static longitudinal/lateral stability. Phugoid, short period, spiral, roll subsidence, dutch roll modes. Handling qualities. Design project. prereq: [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or instr consent
CSCI 1113 - Introduction to C/C++ Programming for Scientists and Engineers
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Programming for scientists/engineers. C/C++ programming constructs, object-oriented programming, software development, fundamental numerical techniques. Exercises/examples from various scientific fields. prereq: Math 1271 or Math 1371 or Math 1571H or instr consent
EE 3005 - Fundamentals of Electrical Engineering
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Fundamentals of analog electronics, digital electronics, and power systems. Circuit analysis, electronic devices and applications, digital circuits, microprocessor systems, operational amplifiers, transistor amplifiers, frequency response, magnetically coupled circuits, transformers, steady state power analysis. prereq: Math 2243, Phys 1302; not for EE majors
EE 3006 - Fundamentals of Electrical Engineering Laboratory
Credits: 1.0 [max 1.0]
Typically offered: Every Fall, Spring & Summer
Lab to accompany 3005. prereq: Concurrent enrollment in 3005 is allowed but not required
ME 3324 - Introduction to Thermal Science
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Thermodynamics, heat transfer. Thermal properties of substances. First/second laws of thermodynamics. Steady/unsteady heat conduction. Thermal resistance concept. Convection heat transfer. Radiative heat transfer between solid surfaces. Boiling/condensation heat transfer. prereq: Chem 1021, Math 2243, Phys 1301, [CSE student or COAFES pre-BAE major]
ME 3333 - Heat Transfer
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Mechanisms of heat transfer. Conduction, convection, radiation. Boundary layer analysis using momentum and energy equations. Applications such as fins, heat exchangers, electronics cooling, bioheat transfer, energy conversion technologies, phase change energy storage and boiling. prereq: 3332
MATS 2001 - Introduction to the Science of Engineering Materials
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Structure-property relationships of engineering materials. Atomic structure and bonding. Crystal structures. Imperfections in solids. Strength of materials, strengthening mechanisms. Phase transformations. Heat treatment/control of micro-structures. Materials selection/design. Integrating properties of metals, ceramics, polymers, and composites. prereq: CHEM 1061, CHEM 1065, [MATH 1272 or MATH 1372], PHYS 1301W, CSE student
MATS 3011 - Introduction to Materials Science and Engineering
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Builds progressively from electrons to atoms to bonding to crystal structures. Defects, X-ray diffraction, phase diagrams. Microstructure as basis for understanding mechanical/electrical properties. Metals, polymers, ceramics, semiconductors, composites. prereq: CHEM 1061, CHEM 1065, [MATH 1272 or MATH 1372], PHYS 1302, CSE student
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503
Typically offered: Every Fall
Third semester of introductory physics. Mechanical/electromagnetic waves, optics, special relativity. prereq: 1302W, [MATH 1272 or MATH 1372 or MATH 1572H]
PHYS 2303 - Physics III: Physics of Matter
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503/2503H
Typically offered: Every Spring
Thermodynamics, mechanical/electromagnetic waves, optics, quantum theory. Applications of quantum nature of solids. prereq: 1302, [MATH 1272 or MATH 1372 or MATH 1572H], [MatSci or EE] student
PHYS 2503H - Honors Physics III
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503
Grading Basis: A-F only
Typically offered: Every Fall
The third semester of a calculus-based introductory physics sequence. Topics include: relativistic kinematics and dynamics, mechanical and electromagnetic waves, light, interference, diffraction, wave-particle duality and topics in modern physics. Course emphasizes the use of fundamental problems to solve quantitative problems. Intended primarily for those who have completed 1401V/1402V, although those students with outstanding performance in 1301W/1302W may be granted permission to enroll. prereq: 1402V or 1502V, honors student or permission of University Honors Program or instr consent
MATH 2373 - CSE Linear Algebra and Differential Equations
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2243/2373/2573
Typically offered: Every Fall & Spring
Linear algebra: basis, dimension, eigenvalues/eigenvectors. Differential equations: linear equations/systems, phase space, forcing/resonance, qualitative/numerical analysis of nonlinear systems, Laplace transforms. Use of computer technology. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, CSE or pre-Bio Prod/Biosys Engr
MATH 2243 - Linear Algebra and Differential Equations
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2243/2373/2573
Typically offered: Every Fall, Spring & Summer
Linear algebra: basis, dimension, matrices, eigenvalues/eigenvectors. Differential equations: first-order linear, separable; second-order linear with constant coefficients; linear systems with constant coefficients. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-
MATH 2574H - Honors Calculus IV
Credits: 4.0 [max 4.0]
Course Equivalencies: 00561 - Math 2243/Math 2373/Math 2573H
Grading Basis: A-F only
Typically offered: Every Spring
Advanced linear algebra, differential equations. Additional topics as time permits. prereq: Math 1572H or Math 2573H, honors student and permission of University Honors Program
AST 2001 - Introduction to Astrophysics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Physical principles and study of solar system, stars, galaxy, and universe. How observations/conclusions are made. prereq: [One yr calculus, PHYS 1302] or instr consent
STAT 3021 - Introduction to Probability and Statistics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall, Spring & Summer
This is an introductory course in statistics whose primary objectives are to teach students the theory of elementary probability theory and an introduction to the elements of statistical inference, including testing, estimation, and confidence statements. prereq: Math 1272
IE 3521 - Statistics, Quality, and Reliability
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Random variables/probability distributions, statistical sampling/measurement, statistical inferencing, confidence intervals, hypothesis testing, single/multivariate regression, design of experiments, statistical quality control, quality management, reliability, maintainability. prereq: MATH 1372 or equiv
BBE 2201 - Renewable Energy and the Environment (TS)
Credits: 3.0 [max 3.0]
Typically offered: Every Fall, Spring & Summer
Tired of high energy bills? Should you be investing in solar energy? Are you wondering what the connection is between climate and energy? What is wrong with our current energy system? What really is "renewable energy"? Can algae really be used for fuel? These and so many more topics are part of the discussion in this course. Throughout the semester we will cover various elements of renewable energy such as the technologies, relevant policies, and the social, environmental, and economic effects of using renewable and non-renewable sources. This course is completely online. Please check out the course website for more information and to find out what students have to say about it. bbe2201.cfans.umn.edu
BIOC 3021 - Biochemistry
Credits: 3.0 [max 3.0]
Course Equivalencies: 00467
Typically offered: Every Fall, Spring & Summer
Fundamentals of biochemistry. Structure/function of proteins, nucleic acids, lipids, and carbohydrates. Metabolism/regulation of metabolism. Quantitative treatments of chemical equilibria, enzyme catalysis, and bioenergetics. Chemical basis of genetic information flow. prereq: [2331 or CHEM 2301, [BIOL 1002 or BIOL 1009 or BIOL 2003]] or instr consent
CSCI 2021 - Machine Architecture and Organization
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Introduction to hardware/software components of computer system. Data representation, boolean algebra, machine-level programs, instruction set architecture, processor organization, memory hierarchy, virtual memory, compiling, linking. Programming in C. prereq: 1913 or 1933 or instr consent
MATH 2283 - Sequences, Series, and Foundations
Credits: 3.0 [max 3.0]
Course Equivalencies: Math 2283/3283W
Typically offered: Every Fall & Spring
Mathematical reasoning. Elements of logic. Mathematical induction. Real number system. General, monotone, recursively defined sequences. Convergence of infinite series/sequences. Taylor's series. Power series with applications to differential equations. Newton's method. prereq: [concurrent registration is required (or allowed) in 2243 or concurrent registration is required (or allowed) in 2263 or concurrent registration is required (or allowed) in 2373 or concurrent registration is required (or allowed) in 2374] w/grade of at least C-
ME 2011 - Introduction to Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Skills critical for practicing engineers. Mechanical engineering, engineering design. Visual, written, and oral communication forms. Computer-based design tools. Substantial design projects, including prototype construction. prereq: CSE lower div
ME 3331 - Thermodynamics
Credits: 3.0 [max 3.0]
Course Equivalencies: 01494
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Properties, equations of state, processes, cycles for reversible and irreversible thermodynamic systems. Modes of energy transfer. Equations for conservation of mass, energy, entropy balances. Application of thermodynamic principles to modern engineering systems. prereq: Chem 1021, Phys 1301
STAT 3011 - Introduction to Statistical Analysis (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: (Select a set)
Typically offered: Every Fall, Spring & Summer
Standard statistical reasoning. Simple statistical methods. Social/physical sciences. Mathematical reasoning behind facts in daily news. Basic computing environment.
CHEM 1066 - Chemical Principles II Laboratory (PHYS)
Credits: 1.0 [max 1.0]
Course Equivalencies: 01879 - Chem 1066/Chem 1076H
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Basic laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and proper treatment of hazardous wastes. prereq: concurrent registration is required (or allowed) in 1062
CHEM 1062 - Chemical Principles II (PHYS)
Credits: 3.0 [max 3.0]
Course Equivalencies: 01885 - Chem 1062/Chem 1072H
Typically offered: Every Fall, Spring & Summer
Chemical kinetics. Radioactive decay. Chemical equilibrium. Solutions. Acids/bases. Solubility. Second law of thermodynamics. Electrochemistry/corrosion. Descriptive chemistry of elements. Coordination chemistry. Biochemistry. prereq: Grade of at least C- in 1061 or equiv, concurrent registration is required (or allowed) in 1066; registration for 1066 must precede registration for 1062
AEM 4295 - Problems in Fluid Mechanics
Credits: 1.0 -3.0 [max 6.0]
Typically offered: Every Fall, Spring & Summer
Topics of current interest. Individual projects with consent of faculty sponsor. prereq: dept consent
AEM 4247 - Hypersonic Aerodynamics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02287 - AEM 4247/AEM 5247
Prerequisites: 4202, CSE upper division
Grading Basis: A-F only
Typically offered: Spring Odd Year
Importance/properties of hypersonic flow. Hypersonic shock and expansion-wave relations. Local surface inclination methods. Approximate/exact methods for hypersonic inviscid flow fields. Viscous flow: boundary layers, aerodynamic heating, hypersonic viscous interactions, computational methods. Hypersonic propulsion and vehicle design. prereq: 4202, CSE upper division
AEM 5247 - Hypersonic Aerodynamics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02287
Prerequisites: 4202 or equiv, CSE grad student
Grading Basis: A-F or Aud
Typically offered: Spring Odd Year
Importance/properties of hypersonic flow. Hypersonic shock and expansion-wave relations. Local surface inclination methods. Approximate/exact methods for hypersonic inviscid flow fields. Viscous flow: boundary layers, aerodynamic heating, hypersonic viscous interactions, computational methods. Hypersonic propulsion and vehicle design. prereq: 4202 or equiv, CSE grad student
AEM 4253 - Computational Fluid Mechanics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02288 - AEM 4253/AEM 5253
Prerequisites: 4201, CSCI 1113, CSE upper division
Grading Basis: A-F only
Typically offered: Every Fall
Introductory concepts in finite difference and finite volume methods as applied to various ordinary/partial differential model equations in fluid mechanics. Fundamentals of spatial discretization and numerical integration. Numerical linear algebra. Introduction to engineering and scientific computing environment. Advanced topics may include finite element methods, spectral methods, grid generation, turbulence modeling. prereq: 4201, CSCI 1113, CSE upper division
AEM 5253 - Computational Fluid Mechanics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02288
Prerequisites: [4201 or equiv], [CSci 1113 or equiv], CSE grad student
Grading Basis: A-F or Aud
Typically offered: Every Fall
Introductory concepts in finite difference and finite volume methods as applied to various ordinary/partial differential model equations in fluid mechanics. Fundamentals of spatial discretization and numerical integration. Numerical linear algebra. Introduction to engineering and scientific computing environment. Advanced topics may include finite element methods, spectral methods, grid generation, turbulence modeling. prereq: [4201 or equiv], [CSci 1113 or equiv], CSE grad student
AEM 4305 - Spacecraft Attitude Dynamics and Control
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Kinematics/dynamics for six-degree of freedom rigid body motions. Euler's angles/equations. Torque free motion, spin stabilization, dual-spin spacecraft, nutation damping, gyroscopic attitude control, gravity gradient stabilization. Linear systems analysis, Laplace transforms, transfer functions. Linear control theory. PID controllers. prereq: [4301, [3101 or ME 3281 or EE 3015], CSE upper div] or grad student
AEM 4321 - Automatic Control Systems
Credits: 3.0 [max 3.0]
Course Equivalencies: 01355 - AEM 4321/EE 4231
Grading Basis: A-F only
Typically offered: Every Fall
Modeling, characteristics, and performance of feedback control systems. Stability, root locus, and frequency response methods. Nyquist and Bode diagrams. Lead-lag and PID compensators. Digital implementation and hardware considerations. prereq: CSE upper div or grad student
AEM 4371 - Helicopter Aerodynamics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Review of basic aerodynamics, unique features of helicopters, momentum theory in axial flight/rotor flow states, momentum theory in non-axial flight, blade-element theory, vortex theory, helicopter equations of motion. Design project. prereq: 2301, 3101, 4202, [CSE upper div or grad student]
AEM 4495 - Problems in Aerospace Systems
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Topics of interest or individual projects.
AEM 5401 - Intermediate Dynamics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Three-dimensional Newtonian mechanics, kinematics of rigid bodies, dynamics of rigid bodies, generalized coordinates, holonomic constraints, Lagrange equations, applications. prereq: CSE upper div or grad, 2012, Math 2243
AEM 5451 - Optimal Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: 01703
Typically offered: Fall Even Year
Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification. prereq: [[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or instr consent
AEM 5651 - Aeroelasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Static aeroelastic phenomena, torsional divergence of a lifting surface, control surface reversal. Aeroelastic flutter, unsteady aerodynamics. Problems of gust response, buffeting. Design project. prereq: 4202, 4301, [grad student or CSE upper div]
AEM 4333 - Aerospace Design: Special Projects
Credits: 3.0 [max 6.0]
Typically offered: Every Spring
Student groups design, build, and test aerospace projects. Projects include designs from 4331 or projects such as microgravity experiments. Students keep design log/notebook, prepare status reports, and give final oral presentation. prereq: 4331 or instr consent
AEM 4391 - Independent Design Project
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Spring
Independent design project construction and testing under the guidance of a faculty member. Projects may include designs from 4331 and group projects are allowed. Students are responsible for finding a faculty adviser for their project. Final project report (written or oral). prereq: 4331, dept consent
AEM 5333 - Design-to-Flight: Small Uninhabited Aerial Vehicles
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Periodic Spring
Designing, assembling, modeling, simulating, testing/flying of uninhabited aerial vehicles. Rapid prototyping software tools for vehicle modeling. Guidance, navigation, flight control, real-time implementations, hardware-in-the-loop simulations, flight tests. prereq: [[4202, concurrent registration is required (or allowed) in 4303W, 4601] or equiv], instr consent
AEM 4502 - Computational Structural Analysis
Credits: 3.0 [max 3.0]
Typically offered: Fall Odd Year
Application of finite element methods to problems in structural analysis. Emphasizes properly posing problems and interpreting calculation results. Use of commercial FEA packages. Introduction to theory of finite elements. prereq: [Grade of at least C in 4501, [CSE upper div or grad student]] or instr consent
AEM 4511 - Mechanics of Composite Materials
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Analysis, design, and applications of laminated and chopped fiber reinforced composites. Micro-/macro-mechanical analysis of elastic constants, failure, and environmental degradation. Design project. prereq: 3031, [CSE upper div or grad student]
AEM 4595 - Problems in Mechanics and Materials
Credits: 1.0 -3.0 [max 6.0]
Typically offered: Every Fall, Spring & Summer
Topics of current interest. Individual projects with consent of faculty sponsor. prereq: dept consent
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 5503 - Theory of Elasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics. prereq: 4501 or equiv, Math 2263 or equiv or instr consent
AEM 4581 - Mechanics of Solids
Credits: 3.0 [max 3.0]
Course Equivalencies: 02289 - AEM 4581/AEM 5581
Prerequisites: 3031, [Math 2373 or equiv], [Math 2374 or equiv], CSE upper div
Typically offered: Fall Even Year
Continuum mechanics in one dimension: kinematics; mass, momentum/energy, constitutive theory. Wave propagation, heat conduction. Strings. Euler-Bernoulli theory. 3-D deformations/stress. Topics from fracture mechanics, structural stability, vibrations, thin films, layered media, smart materials, phase transformations, 3-D elastic wave propagation. Elasticity, viscoelasticity, plasticity. prereq: 3031, [Math 2373 or equiv], [Math 2374 or equiv], CSE upper div
AEM 5581 - Mechanics of Solids
Credits: 3.0 [max 3.0]
Course Equivalencies: 02289
Prerequisites: 3031 or equiv, [Math 2373 or equiv], [Math 2374 or equiv], [CSE grad student]
Typically offered: Fall Even Year
Continuum mechanics in one dimension: kinematics; mass, momentum/energy, constitutive theory. Wave propagation, heat conduction. Strings. Euler-Bernoulli theory. 3-D deformations/stress. Topics from fracture mechanics, structural stability, vibrations, thin films, layered media, smart materials, phase transformations, 3-D elastic wave propagation. Elasticity, viscoelasticity, plasticity. prereq: 3031 or equiv, [Math 2373 or equiv], [Math 2374 or equiv], [CSE grad student]
AEM 4894H - Senior Honors Thesis
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Spring
Writing thesis under direction of AEM faculty member. prereq: Honors student, permission of University Honors Program, AEM major
AST 4001 - Astrophysics I
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Astrophysics of stars and stellar populations. Stellar formation, evolution, interiors/atmospheres. Stellar populations, galactic distribution of stars. prereq: 2001, Phys 2601
AST 5022 - Relativity, Cosmology, and the Universe
Credits: 4.0 [max 4.0]
Course Equivalencies: Ast 5022/Phys 5022
Typically offered: Periodic Fall & Spring
Large-scale structure/history of universe. Introduction to Newtonian/relativistic world models. Physics of early universe, cosmological tests, formation of galaxies. prereq: [2001, Phys 2601] or instr consent
BIOL 4003 - Genetics
Credits: 3.0 [max 3.0]
Course Equivalencies: 00052 - Biol 4003/GCD 3022
Typically offered: Every Fall, Spring & Summer
Genetic information, its transmission from parents to offspring, its expression in cells/organisms, and its course in populations. prereq: [[BIOC 3021 or BIOC 4331], [any CBS major or major in [animal science or applied plant science or BA biology or BA microbiology or nutrition or physiology or biology/society/environment or biomedical engineering] or Grad MBS major]] or instr consent
CSCI 4611 - Programming Interactive Computer Graphics and Games
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Tools/techniques for programming games/interactive computer graphics. Event loops, rendering/animation, polygonal models, texturing, physical simulation. Modern graphics toolkits. History/future of computer games technology. Social impact of interactive computer graphics. prereq: 2021 or instr consent
CSCI 5551 - Introduction to Intelligent Robotic Systems
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Transformations, kinematics/inverse kinematics, dynamics, control. Sensing (robot vision, force control, tactile sensing), applications of sensor-based robot control, robot programming, mobile robotics, microrobotics. prereq: 2031 or 2033 or instr consent
EE 4233 - State Space Control System Design
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
State space models, performance evaluation, numerical issues for feedback control. Stability, state estimation, quadratic performance. Implementation, computational issues. prereq: [3015, upper div CSE] or instr consent
IE 5111 - Systems Engineering I
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Overview of systems-level thinking/techniques in context of an integrated, design-oriented framework. Elements of systems engineering process, including lifecycle, concurrent, and global engineering. Framework for engineering large-scale, complex systems. How specific techniques fit into framework. prereq: CSE upper div or grad student
MATH 4152 - Elementary Mathematical Logic
Credits: 3.0 [max 3.0]
Course Equivalencies: Math 4152/5165
Typically offered: Every Spring
Propositional logic. Predicate logic: notion of a first order language, a deductive system for first order logic, first order structures, Godel's completeness theorem, axiom systems, models of formal theories. prereq: one soph math course or instr consent
MATH 4242 - Applied Linear Algebra
Credits: 4.0 [max 4.0]
Course Equivalencies: 01212 - Math 4242/Math 4457
Typically offered: Every Fall, Spring & Summer
Systems of linear equations, vector spaces, subspaces, bases, linear transformations, matrices, determinants, eigenvalues, canonical forms, quadratic forms, applications. prereq: 2243 or 2373 or 2573
MATH 4428 - Mathematical Modeling
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Modeling techniques for analysis/decision-making in industry. Optimization (sensitivity analysis, Lagrange multipliers, linear programming). Dynamical modeling (steady-states, stability analysis, eigenvalue methods, phase portraits, simulation). Probabilistic methods (probability/statistical models, Markov chains, linear regression, simulation). prereq: 2243 or 2373 or 2573
MATH 4512 - Differential Equations with Applications
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Laplace transforms, series solutions, systems, numerical methods, plane autonomous systems, stability. prereq: 2243 or 2373 or 2573
MATH 4567 - Applied Fourier Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Fourier series, integral/transform. Convergence. Fourier series, transform in complex form. Solution of wave, heat, Laplace equations by separation of variables. Sturm-Liouville systems, finite Fourier, fast Fourier transform. Applications. Other topics as time permits. prereq: 2243 or 2373 or 2573
MATH 4603 - Advanced Calculus I
Credits: 4.0 [max 4.0]
Course Equivalencies: 01072 - Math 4606/Math 5615/Math 5616
Typically offered: Every Fall, Spring & Summer
Axioms for the real numbers. Techniques of proof for limits, continuity, uniform convergence. Rigorous treatment of differential/integral calculus for single-variable functions. prereq: [[2243 or 2373], [2263 or 2374]] or 2574 or instr consent
MATH 5583 - Complex Analysis
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 3574/5583
Typically offered: Every Fall, Spring & Summer
Algebra, geometry of complex numbers. Linear fractional transformations. Conformal mappings. Holomorphic functions. Theorems of Abel/Cauchy, power series. Schwarz' lemma. Complex exponential, trig functions. Entire functions, theorems of Liouville/Morera. Reflection principle. Singularities, Laurent series. Residues. prereq: 2 sems soph math [including [2263 or 2374 or 2573], [2283 or 3283]] recommended
MATH 5587 - Elementary Partial Differential Equations I
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Emphasizes partial differential equations w/physical applications, including heat, wave, Laplace's equations. Interpretations of boundary conditions. Characteristics, Fourier series, transforms, Green's functions, images, computational methods. Applications include wave propagation, diffusions, electrostatics, shocks. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
ME 5286 - Robotics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Manipulator forward/inverse kinematics, homogeneous transformations, coordinate frames, Jacobian/velocity control, task primitives/programming, computational issues. Determining path trajectories. Reaction forces, manipulator dynamics/control. Vehicle kinematics, dynamics, and guidance. Lab project demonstrates concepts. prereq: [3281 or equiv], [upper div ME or AEM or CSci or grad student]
ME 5341 - Case Studies in Thermal Engineering and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Characteristics of applied heat transfer problems. Nature of problem specification, incompleteness of needed knowledge base, accuracy issues. Categories of applied heat transfer problems. prereq: 3333, CSE upper div or grad student
ME 5351 - Computational Heat Transfer
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Numerical solution of heat conduction/analogous physical processes. Develop/use computer program to solve complex problems involving steady/unsteady heat conduction, flow/heat transfer in ducts, flow in porous media. prereq: 3333, CSE upper div or grad student
ME 5446 - Introduction to Combustion
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Thermodynamics, kinetics, energy and mass transport, pollutants in reacting systems. Reactors, laminar and turbulent flames. Ignition, quenching, and flame stability. Diffusion flames. Combustion in reciprocating engines, furnaces, and turbines, with emphasis on internal combustion engine performance and emissions. prereq: 3331, 3332, 3333, CSE upper div or grad student
MOT 4010 - Management of Science and Technology in the Middle East, Global Seminar (GP)
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Spring
Middle East global seminar, including 8 weeks of classroom learning prior to May departure. Technology areas such as solar energy, water desalination, security technology, alternative fuels, and biomedical devices.
PHYS 4051 - Methods of Experimental Physics I
Credits: 5.0 [max 5.0]
Typically offered: Every Fall
Contemporary experimental techniques. Introduction to modern analog and digital electronics from an experimental viewpoint. Use of computers for data acquisition and experimental control. Statistics of data analysis. prereq: concurrent registration is required (or allowed) in 2605 or equiv lab experience or instr consent
PHYS 4001 - Analytical Mechanics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Analytic Newtonian mechanics. Mathematics beyond prerequisites developed as required. prereq: [2303 or 2601 or Chem 3501 or Chem 3502], two sems soph math
AEM 4303W - Flight Dynamics and Control (WI)
Credits: 3.0 [max 3.0]
Prerequisites: [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or #
Grading Basis: A-F only
Typically offered: Every Spring
Forces/moments, trim, linearization, transfer functions, dynamic response characteristics for aircraft. Aircraft stability/control derivatives, static longitudinal/lateral stability. Phugoid, short period, spiral, roll subsidence, dutch roll modes. Handling qualities. Design project. prereq: [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or instr consent
AEM 4602W - Aeromechanics Laboratory (WI)
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Experimental methods/design in fluid/solid mechanics. Wind tunnel/water channel experiments with flow visualization, pressure, velocity, force measurements. Measurement of stresses/strains/displacements in solids/ structures: stress concentrations, materials behavior, structural dynamics. Computerized data acquisition/analysis, error analysis, data reduction. Experiment design. Written/oral reports. Lab ethics. Writing intensive. prereq: 4201, 4501, 4601, [WRIT 1301 or equiv], [CSE upper div or grad]
AEM 4796 - Professional Experience
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Work experience with substantive engineering component. Written report. prereq: CSE upper div, AEM major, dept consent