Engineering Sciences 91

 

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Course Content

Instructor

Office Hours

Classes

Text

References

Prerequisite

Lab

Blackboard



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Thayer School of Engineering

Dartmouth College


Numerical Methods in Computation

Courtesy of David Murr

Course Content

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 and partial differential equations, and determining eigenvalues and eigenvectors or matrices. The student will be required to write and run computer programs.

Instructor

Instructor   Simon G. Shepherd
Location   Room 212, Cummings Hall
Telephone   646-0096
E-mail   simon at thayer.dartmouth..edu

Office Hours

Office hours are held in the Great Hall of Cummings on
TBD
TBD
TBD
212 Cummings Hall

Classes

There will be three classes per week: Monday, Wednesday and Friday from 12:30 to 1:35 a.m. in Room B01, MacLean Hall (ESC). X-hour is on Tuesday from 1:00 to 1:50 a.m. Several X-hours will be mandatory, especially early in the term.

Text

Reading is from:

Burden and Faires, "Numerical Analysis", 8th ed., 2005 Current edition. The best book for analysis.
Burden and Faires, "Numerical Analysis", 7th ed., 2001 Previous edition. Used in 2004. Probably sufficiently current.

References

On reserve in Feldberg Library:

Acton, "Numerical Methods that Usually Work", 1st ed., 1970. A classic that is particularly useful for discussion of the eigenvalue and eigenvector problem. Reading will be from this book for that section.
Hornbeck, "Numerical Methods", 1st ed., 1975. Another classic that is particularly good at describing quadrature (numerical integration).
Epperson, "An Introduction to Numerical Methods and Analysis", 1st ed., 2002. Very close to Burden and Faires. A good mathematically-oriented reference for alternate explanations.
Kincaid and Cheney, "Numerical Analysis: Mathematics of Scientific Computing", 3rd ed., 2002. Another good mathematically-oriented reference for alternate explanations.
Schilling and Harris, "Applied Numerical Methods for Engineers: Using Matlab and C", 1st ed., 2000. Perhaps a bit more basic than Burden and Faires, but a good alternative. Uses Matlab and C.
Atkinson and Han, "Elementary Numerical Analysis", 3rd ed., 2004. More basic (less mathematical) than Burden and Faires. Matlab examples.
Mathews and Fink, "Numerical Methods Using Matlab", 4th ed., 2004. Good alternative with Matlab examples.
Faires and Burden, "Numerical Methods", 3rd ed., 2003. Same chaps but different order. This text is more concerned with the implementation of numerical methods without the analysis. More basic than Burden and Faires.

Prerequisite

ENGINEERING SCIENCES 20 or COMPUTER SCIENCE 5 or 14.

Lab

There will be weekly computer labs involving programming during the term. Each lab is designed to provide the opportunity to explore the various numerical methods and analyses introduced in lecture.

Blackboard

More information about this course can be found at the ENGS 91 Blackboard site. You can login to Blackboard using your DND username and password. If you have registered for ENGS 91, you will see a link for COSC.026.01-ENGS.091.01-MATH.026.01-FA06: Numerical Methods in Comp (FA06) in your My Courses list.