Sponsoring Academic Department:
Aeronautics and Astronautics
Mechanical Engineering

Learn the fundamental post graduate mathematical techniques that are used in a wide variety of technical fields with a focus in one area of application within mechanics.

Professionals who will be interested in this course of study, include those who wish to:

			Consolidate their knowledge of the mathematics that underlie methods used daily in the Aeronautics/Astronautics (AA) and Mechanical Engineering (ME) professions, and so be able to develop and apply these methods more skillfully (including those needing to develop and use related computational methods);
			Expand their repertoire of professional expertise into Applied Mechanics and similar areas, and thus expand their career options;
			Enter a master's course in AA or ME, or at Stanford's Institute for Computational and Mathematical Engineering. (Most of the courses in this certificate are core requirements for a master's degree in AA or ME.)

All courses are Stanford graduate courses – earning graduate credit, that may later be applied toward a degree program. Begin by taking 2-3 courses in Engineering Mathematics, the foundation for Mechanics, then follow with a concentration (2-3) courses in one of three application tracks: Dynamics and Controls; Flow and Aerodynamics; or Solid Mechanics. See chart of certificate study.

Engineering Mathematics (2 or 3 courses)

			CME 200: Linear Algebra
			CME 204: Partial Differential Equations
			CME 206: Introduction to Numerical Methods
			EE 261: Fourier Transform and its Applications

Track 1: Dynamics and Controls

	Core Applied Mechanics (2 courses) AA242: Classical Dynamics ENGR105: Feedback Control Design or E205: Feedback Control Design
	Areas of Application (1 course, as needed to reach 5 courses) ENGR205: Feedback Control Design AA 279: Space Mechanics AA 271: Dynamics and Control of Spacecraft and Aircraft

Track 2: Flow and Aerodynamics

	Core Applied Mechanics (2 courses) AA 200A: Applied Aerodynamics AA210A: Fundamentals of Compressible Flow
	Areas of Application (1 course, as needed to reach 5 courses) AA 283: Aircraft and Rocket Propulsion

Track 3: Solid Mechanics

	Core Applied Mechanics (2 courses) ME 333: Mechanics ME 338: Continuum Mechanics
	Areas of Application (1 course, as needed to reach 5 courses) AA 240A: Analysis of Structures AA 256: Mechanics of Composites ME 345: Fatigue Design and Analysis

To begin working toward this graduate certificate, enroll in any of the required courses as a Non Degree Option (NDO) student.

			Schedule of graduate courses
			Enrollment deadline
			How to enroll

After completing all course requirements, submit a Certificate Request form to SCPD. Upon receipt of the completed form, SCPD will forward the request to the academic department for approval and processing of the certificate.

Questions?