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The M.S. in Aerospace & Mechanical Engineering (Dynamics and Control) educates and trains multidisciplinary professionals in the modeling, analysis, simulation and control of complex time-evolutionary systems. It is a unique program of study that encompasses advanced analytical dynamics, nonlinear dynamical systems, linear and nonlinear dynamics and vibrations, and linear and nonlinear control. The program equips students to apply their knowledge to a variety of complex systems encountered in nature and society, especially those in civil, mechanical, and aerospace engineering and applied mechanics.
This degree provides the graduate student with a broad, well-rounded, advanced education that can be applied to many specific technologically-advanced fields in which dynamics and control play a pivotal role. Upon completion of the program, students are brought to the cutting edge of current research as well as relevant areas of application.
- B.S. degree in engineering, math, or science from a regionally-accredited university
- Cumulative undergraduate GPA of at least 3.0 on a 4.0 scale
- Satisfactory scores on the general portion of the Graduate Record Examinations (GRE) with a minimum score of 650 on the quantitative portion and 350 on the verbal portion
- Two letters of recommendation
- Statement of Purpose (optional)
- For international students whose first language is not English, in order to be excused from the mandatory International Standard English (ISE) placement exam, applicants must score at least:
- 250 or higher on the computer-based TOEFL
- 600 or higher on the paper-based TOEFL
- 100 or higher on the Internet-based TOEFL (iBT) with no less than 20 on each of the four individual sections
DEFICIENCY COURSES
Students without backgrounds in Dynamics and Control should take the deficiency courses listed below for credit. Please verify with the Program Coordinator, Dr. Firdaus E. Udwadia, before enrolling in these courses for credit.
A minimum of 27 units is required for the M.S. in Aerospace & Mechanical Engineering (Dynamics and Control) degree.
- Required Core Courses: 15 units
- Required Engineering Analyses course: 6 units
- Electives: 6 units
- A minimum cumulative GPA of 3.00 is required for graduation
Course Descriptions [back to top]
Deficiency Courses
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AME420 - Engineering Vibrations
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3
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*
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Units: 3
Course Description: Theory of free and forced vibrations with and without damping; systems of single and multiple degrees of freedom; iteration; methods; vibration isolation; instrumentation. Prerequisite: MATH 245.
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AME451 - Linear Control Systems I
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3
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*
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*
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*
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Units: 3
Course Description: Transform methods, block diagrams; transfer functions; stability; root-locus and frequency domain analysis and design; state space and multiloop systems. Prerequisite: MATH 245. Next Offering: Summer 2005, Fall 2005
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Required Core Courses (15 units)
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AME521 - Engineering Vibrations II
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3
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*
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Units: 3
Course Description: Multi-degree of freedom systems; modal analysis. Rayleigh's quotient. Continuous systems; modal analysis. Beams, rods, membranes. Colocations, Galerkin, Rayleigh Ritz methods; finite elements. Prerequisite: AME 420. Next Offering: Fall 2005
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AME522 - Nonlinear Vibration
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3
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Units: 3
Course Description: Response of nonlinear systems; qualitative and quantitative Analysis: state-space concepts, graphical, iterative, perturbation, asymptotic and approximate methods; periodic solutions, limit cycles; stability; point mapping. Prerequisite: AME 420, AME 525.
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AME524 - Advanced Engineering Dynamics
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3
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*
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Units: 3
Course Description: Principle of virtual work, constraints, Lagrange's equations, Gibbs-Appell equations, Gauss's Principle, Theory of Rotations, dynamics of rigid bodies, Hamiltonian mechanics, Hamilton-Jacobi equation. Recommended preparation: AME 521, AME 525. Next Offering: Fall 2005
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AME541 - Linear Control Systems II
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3
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*
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Units: 3
Course Description: State space representation, linearization, solution of state equations; controllability and observability; state feedback, state observers; optimal control; output feedback. Prerequisite: AME 451. Next Offering: Fall 2005
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AME552 - Nonlinear Control Systems
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3
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Units: 3
Course Description: Phase plane, describing functions, applications to mechanical and aerospace systems. Lyapunov direct and indirect methods, applications; Popov circle criteria applications. Prerequisite: AME 541.
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Required Engineering Analyses Courses (6 units)
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AME525 - Engineering Analysis
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3
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*
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*
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*
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Units: 3
Course Description: Typical engineering problems discussed on a physical basis. Vector analysis; functions of complex variables, infinite series, residues. Next Offering: Fall 2005, Summer 2005
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AME526 - Engineering Analytical Methods
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3
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*
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*
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*
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Units: 3
Course Description: Typical engineering problems discussed on a physical basis. Vector analysis; functions of complex variables, infinite series, residues.
Next Offering: Summer 2005, Fall 2005
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Electives (6 units)
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AME523 - Random Vibrations
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3
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Units: 3
Course Description: Random processes, ergodic theory. Ito calculus. Linear systems under stationary and nonstationary excitations. Fokker-Planck equations. Failure analysis and first passage problems. Prerequisite: AME 420, basic probability (or MATH 407), AME 451 recommended.
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AME545 - Modeling and Control Systems of Distributed Dynamic Systems
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3
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Units: 3
Course Description: Modeling and analysis of complex flexible mechanical systems; distributed transfer function synthesis; frequency-domain control methods; smart structure design; applications in vibration and noise control. Prerequisite: AME 521 and AME 541.
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AME548 - Analytical Methods in Robotics
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3
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*
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*
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Units: 3
Course Description: Homogeneous transformations; formal description of robot manipulators; kinematic equations and their solution; differential relationships; dynamics; control; static forces; compliance. Prerequisite: EE 545; EE 482 or AME 451; knowledge of linear algebra.
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AME580 - Orbital Mechanics I
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3
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Units: 3
Course Description: Physical principles; two-body and central force motion; trajectory correction maneuvers; position and velocity in conic orbits; Lambert's problem; celestial mechanics; orbital perturbations.
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AME582 - Spacecraft Attitude Control
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3
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*
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*
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Units: 3
Course Description: Review of attitude dynamics, gravity gradient stabilization, attitude stabilization with a spin, attitude maneuvers, control using momentum exchange devices, momentum-biased stabilization, reaction thruster control. Prerequisite: AME 451 or EE 482; recommended preparation: a course in dynamics. Next Offering: Summer 2005
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AME583 - Spacecraft Attitude Dynamics
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3
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Units: 3
Course Description: Dynamics of systems of particles and rigid bodies; spacecraft attitude systems; attitude maneuvers (spin, precession, nutation, etc.); attitude stabilization and attitude determination; simulation methods.
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AME630 - Transition to Chaos in Dynamical Systems
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3
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Units: 3
Course Description: Bifurcation theory and universal routes to chaos in deterministic systems; application to maps and differential flows; characterization of strange attractors. Recommended preparation: AME 526.
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In order to evaluate any application for admission, application materials must be submitted by the deadlines listed:
June 1st Fall admission
October 1st Spring admission
February 15th Summer admission
Please submit the following to the USC Office of Graduate Admission via the online application system by clicking here.
- Statement of Purpose (optional)
- The statement of purpose should describe succinctly your reasons for applying to the proposed program at the Viterbi School of Engineering, your preparation for this field of study, study interests, future career plans, and other aspects of your background and interests which may aid the admissions committee in evaluating your aptitude and motivation for graduate study.
- Two Letters of Recommendation
- Letters of recommendation should be from faculty or others (supervisors, professional colleagues, etc.) qualified to evaluate your potential for graduate study. They should be written on official letterhead.
Please arrange to have the following sent to the USC Office of Admission as a hard copy (USC Graduate Office of Admission, University Park Campus, Los Angeles, CA 90089-0915):
- Official Transcript(s) from all post-secondary schools you have attended, and official translations if they are not in English.
- General GRE scores (no older than 5 years). Official scores must be sent through ETS to the University of Southern California, ETS code 4852)
- TOEFL scores (required for international students)
NOTE: If you meet our minimum qualifications, you can get started BEFORE you are formally admitted to USC, as a "LIMITED" student! Click here for more information.
For the USC Aerospace & Mechanical Engineering Department:
Samantha Graves
Student Services Advisor
Aerospace and Mechanical Engineering
Tel: 213-740-1735
Fax: 213-740-7774
Email: smgraves@usc.edu
Professor Firdaus E. Udwadia
Program Coordinator, Dynamics & Control
Aerospace and Mechnical Engineering
Tel: (213) 740-0495
Fax: (213) 740-8071
Email: fudwadia@usc.edu
For the USC Distance Education Network (DEN):
Ray Fujioka
Master's and Professional Programs [MAPP]
Tel: (213) 740-4488
Fax: (213) 821-0851
Email: info@den.usc.edu
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