Courses Programs - Thayer School of Engineering - Dartmouth ...

graduate courses
110
ENGS 202 Nonlinear Systems
Offered alternate years: 12W: 2A
The course provides basic tools for modeling, design, and stability analysis of nonlinear
systems that arise in a wide range of engineering and scientific applications
including robotics, autonomous vehicles, mechanical and aerospace systems, nonlinear
oscillators, chaotic systems, population genetics, learning systems, and networked
complex systems. There are fundamental differences between the behavior of linear
and nonlinear systems. Lyapunov functions are powerful tools in dealing with design
and stability analysis of nonlinear systems. After addressing the basic differences
between linear and nonlinear systems, the course will primarily focus on normal
forms of nonlinear systems and Lyapunov-based control design methods for a variety
of applications with an emphasis on robotics, mechanical control systems, and particle
systems in potential fields.
Prerequisite: ENGS 100 and ENGS 145 or equivalents and familiarity with MATLAB
Instructor: Olfati-Saber
ENGS 205 Computational Methods for Partial Differential Equations II
Offered alternate years: 11S: 11
Boundary element and spectral methods are examined within the numerical analysis
framework established in ENGS 105. The boundary element method is introduced in
the context of linear elliptic problems arising in heat and mass transfer, solid mechanics,
and electricity and magnetism. Coupling with domain integral methods, e.g.,
finite elements, is achieved through the natural boundary conditions. Extensions
to nonlinear and time-dependent problems are explored. Spectral methods are introduced
and their distinctive properties explored in the context of orthogonal bases
for linear, time-invariant problems. Extension to nonlinear problems is discussed in
the context of fluid mechanics applications. Harmonic decomposition of the timedomain
is examined for nonlinear Helmhotz-type problems associated with E&M
and physical oceanography.
Prerequisite: ENGS 105
Instructor: Paulsen
ENGG 210 Spectral Analysis
(Can be used by undergraduates for A.B. course count only)
Offered alternate years: 12S: arrange
An advanced treatment of digital signal processing for the analysis of time series.
A study is made of parametric and nonparametric methods for spectral analysis. The
course includes a review of probability theory, statistical inference, and the discrete
Fourier Transform. Techniques are presented for the digital processing of random
signals for the estimation of power spectra and coherency. Examples are taken from
linear system theory and remote sensing using radar. Laboratory exercises will be
assigned requiring the use of the computer.
Prerequisite: ENGS 110
Instructor: Hansen
ENGG 212 Communications Theory
(Can be used by undergraduates for A.B. course count only)
Not offered 2010–2011
An advanced treatment of communications system engineering with an emphasis
on digital signal transmission. The course includes a review of probability theory,
random processes, modulation, and signal detection. Consideration will be given to
channel modeling, the design of optimum receivers, and the use of coding.
Prerequisite: ENGS 110