Master of Science in Mechanical Engineering & Mechanics
Introductory notes
Summary of activities
Course
Grade
Credits
Quarter
Applied Engineering Analysis Methods I
A
3
Fall 2011
Synopsis
Covers
effective methods to analyze engineering problems. This module
focuses on analytical and computational methods for problems
tractable with vectors, tensors and linear algebra. Uses
symbolic/numerical computational software. Examples drawn from
thermal fluid sciences, mechanics and structures, systems and
control, and emerging technologies.
Robust Control Systems I
A+
3
Fall 2011
Synopsis
Covers
linear spaces and linear operators; Banach and Hilbert spaces;
time-domain spaces; frequency-domain spaces; singular value
decomposition; EISPACK, LINPACK, and MATLAB, including internal
stability; coprime factorization over the ring of polynomial
matrices; matrix fraction description; properties of polynomial
matrices; irreducible mfds; Smith-McMillan form; poles and zeros;
canonical realizations; and computation of minimal realizations.
Advanced Dynamics I
A+
3
Fall 2011
Synopsis
Covers
analytical statics (principle of virtual work), Lagrange’s
equations, conservation laws, stability analysis by perturbation
about steady state, Jacobi first integral, ignoration of
coordinates, classification of constraints, solution of
constrained dynamical problems by constraint embedding
(elimination) or constraint adjoining (Lagrange multipliers),
generalized impulse and momentum, and formulation and solution of
non-holonomic systems.
Mechanics of Biological Tissues
A+
3
Fall 2011
Synopsis
Covers
composition and structure of tendons, ligaments, skin, and bone;
bone mechanics and its application in orthopedics;
viscoelasticity of soft biological tissues; models of soft
biological tissues; mechanics of skeletal muscle; and muscle
models and their applications.
Applied Engineering Analysis Methods II
A+
3
Winter 2012
Synopsis
Covers
effective methods to analyze engineering problems. This module
focuses on computational and analytical methods for complex
variables and ordinary differential equations. Uses
symbolic/numerical computational software. Examples drawn from
thermal fluid sciences, mechanics and structures, systems and
control, and emerging technologies.
Robust Control Systems II
A+
3
Winter 2012
Synopsis
Covers the
structure of stabilizing controllers; coprime factorization over
the ring of proper stable rational matrices; algebraic Riccati
equation; state space computation of coprime factorization; yvb
controller parametrization; linear fractional transformation;
state space structure of proper stabilizing controllers;
formulation of control problem, H, and H optimization problem;
model matching problem; tracking problem; robust stabilization
problem; inner-outer factorization; and Sarason’s H
interpolation theory.
Advanced Dynamics II
A+
3
Winter 2012
Synopsis
Covers
vector dynamics in three dimensions, including a detailed study
of rotational kinematics, motion of the mass center and about the
mass center for a system of particles and a rigid body, moments
of inertia, three-dimensional dynamical problems, and comparison
between Lagrangian techniques and the vector methods of Euler and
Newton. Includes vibrations, Euler’s angles, motion of a
gyroscope, and motion of an axially symmetric body under no force
other than its weight.
Design of nano-resonators
A
3
Winter 2012
Synopsis
Offers independent study
and research in mechanical engineering.
Applied Engineering Analysis Methods III
A
3
Spring 2012
Synopsis
Covers
effective methods to computationally and analytically solve
engineering problems. This module focuses on solution methods for
partial differential equations, Fourier analysis, finite element
analysis and probabilistic analysis. Uses symbolic/numerical
computational software. Examples drawn from mechanical and civil
engineering.
Applied Optimal Control I
A+
3
Spring 2012
Synopsis
Covers
necessary conditions from calculus of variations, equality and
inequality constraints, fixed and free final time problems,
linear-quadratic control, bang-bang control, and application to
problems in flight mechanics.
Applied Robust Control
A+
3
Spring 2012
Synopsis
Covers
topics of current interest to faculty and students.
Magnetostrictive NEMS
A
3
Spring 2012
Synopsis
Offers
independent study and research in mechanical engineering.
Independent Study and Research
A
6
Synopsis
Offers
independent study and research in mechanical engineering.
Special Topics Mechanical Engineering
A
3
Synopsis
Covers
topics of current interest to faculty and students.