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

graduate courses
90
Graduate Course Descriptions
ENGS 91 Numerical Methods in Computation
(Identical to MATH 26 and COSC 26)
Offered: 10F, 11F: 12
A study and analysis of important numerical and computational methods for solving
engineering and scientific problems. The course will include methods for solving linear
and nonlinear equations, doing polynomial interpolation, evaluating integrals,
solving ordinary differential equations, and determining eigenvalues and eigenvectors
of matrices. The student will be required to write and run computer programs.
Prerequisite: COSC 5 or ENGS 20; ENGS 22 or MATH 23, or equivalent
Instructor: Shepherd
ENGS 92 Fourier Transforms and Complex Variables
(Identical to PHYS 70)
Offered: 10F, 11F: 2
Survey of a number of mathematical methods of importance in engineering and
physics with particular emphasis on the Fourier transform as a tool for modeling and
analysis. Orthogonal function expansions, Fourier series, discrete and continuous
Fourier transforms, generalized functions and sampling theory, complex functions
and complex integration, Laplace, Z, and Hilbert transforms. Computational Fourier
analysis, applications to linear systems, waves, and signal processing.
Prerequisites: MATH 33 or ENGS 22, and ENGS 23 or equivalent
Instructor: Testorf
ENGS 93 (formerly 103) Statistical Methods in Engineering
Offered: 11W, 12W: 11 11S, 12S: 12
The application of statistical techniques and concepts to maximize the amount
and quality of information resulting from experiments. After a brief introductory
summary of fundamental concepts in probability and statistics, topics considered will
include probability distributions, sampling distributions, estimation and confidence
intervals for parameters of statistical distributions, hypothesis testing, design and
analysis of variance for single and multiple-factor experiments, regression analysis,
estimation and confidence intervals for parameters of non-statistical models, and
statistical quality control.
Prerequisite: MATH 13 or equivalent
Instructors: Borsuk (winter), Lasky (spring)
ENGS 100 Methods in Applied Mathematics I
(Identical to PHYS 100)
Offered: 10F, 11F: 11
Concepts and methods used in the treatment of linear equations with emphasis on
matrix operations, differential equations, and eigenvalue problems will be developed
following a brief review of analytic function theory. Topics include the Fourier
integral, finite and infinite dimensional vector spaces, boundary value problems,
eigenfunction expansions, Green’s functions, transform techniques for partial
differential equations, and series solution of ordinary differential equations.
Properties and uses of orthogonal polynomials and special functions such as the
hypergeometric, Bessel, Legendre, and gamma functions are included. Applications
in engineering and physics are emphasized.
Prerequisite: Either ENGS 92 or MATH 33 or MATH 43 with permission of instructor,
or equivalent
Instructor: Caldwell