Campuses:
Twin Cities Campus
Aerospace Engineering and Mechanics B.A.E.M.Aerospace Engineering & Mechanics
College of Science and Engineering
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 fouryear 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:
Admission Requirements
Students must complete
8 courses
before admission to the program.
Freshman and transfer students are usually admitted to premajor status
before admission to this major.
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Mathematics Core
MATH 1371  CSE Calculus I
[MATH]
(4.0 cr)
or
MATH 1271  Calculus I
[MATH]
(4.0 cr)
or
MATH 1571H  Honors Calculus I
[MATH]
(4.0 cr)
MATH 1372  CSE Calculus II
(4.0 cr)
or
MATH 1272  Calculus II
(4.0 cr)
or
MATH 1572H  Honors Calculus II
(4.0 cr)
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(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 Universitywide 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
All freshmen in the College of Science and Engineering must complete CSE 1001: FirstYear Experience.
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
EE 3005  Fundamentals of Electrical Engineering
(4.0 cr)
EE 3006  Fundamentals of Electrical Engineering Laboratory
(1.0 cr)
CSCI 1113  Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
or
CSCI 1133H  Honors Introduction to Computing and Programming Concepts
(4.0 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)
·
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
·
CSCI 2033  Elementary Computational Linear Algebra
(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
(1.03.0 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 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 5333  DesigntoFlight: 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
(1.03.0 cr)
·
AEM 5501  Continuum Mechanics
(3.0 cr)
·
AEM 5503  Theory of Elasticity
(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)
·
CSCI 4061  Introduction to Operating Systems
(4.0 cr)
·
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
·
CSCI 5143  RealTime and Embedded Systems
(3.0 cr)
·
CSCI 5521  Introduction to Machine Learning
(3.0 cr)
·
ME 4231  Motion Control Laboratory
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(4.0 cr)
·
PHYS 4611  Introduction to Space Physics
(3.0 cr)
·
LAAS 5050  Integrated Topics in Land & Atmospheric Science
(3.0 cr)
·
MATS 4594  Directed Research in Materials Science
(1.03.0 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)


Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1142/1271/1281/1371/1571H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00067  Math 1271/Math 1281/Math 1371/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00067  Math 1142/1271/1281/1371/1571H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00068  Math 1272/1282/1252/1372/1572 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00069  Math 2263/2374/3251 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078  Phys 1201W/Phys1301W/Phys1401V 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079  Phys 1202W/1302W/1402V 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01878  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01878  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  2.0 [max 2.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Prerequisites:  [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or # 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall & Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02133 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00080  Phys 2303/2403H/2503 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00080  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00080  Phys 2303/2403H/2503 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00561  Math 2243/Math 2373/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00467  BioC 3021/BioC 3022/BioC 4331/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01494  ME 3321/ME 3331 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  (Select a set) 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02004 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01879  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01885  Chem 1062/Chem 1072H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 3.0 [max 6.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  02287  AEM 4247/AEM 5247 
Grading Basis:  AF or Aud 
Typically offered:  Spring Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  02287  AEM 4247/AEM 5247 
Grading Basis:  AF or Aud 
Typically offered:  Spring Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  02288  AEM 4253/AEM 5253 
Prerequisites:  4201, CSCI 1113, CSE upper division 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  02288 
Prerequisites:  [4201 or equiv], [CSci 1113 or equiv], CSE grad student 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01355  AEM 4321/EE 4231 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01703 
Typically offered:  Fall Even Year 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 6.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  1.0 3.0 [max 6.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
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 
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 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Ast 5022/Phys 5022 
Typically offered:  Periodic Fall & Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00052 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  2.0 [max 2.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 4152/5165 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01072  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 3574/5583 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02667 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02015 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  1.0 3.0 [max 6.0] 
Grading Basis:  OPT No Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Prerequisites:  [2012, 2301, 3101, [WRIT 1301 or equiv], [CSE upper div or grad student]] or # 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 