Complex variables with applications
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Evaluation
Course programme
Lectures: 3 sessions / week, 1 hour / session
Recitations: 1 session / week, 1 hour / session
Differential Equations (18.03) or Honors Differential Equations (18.034)
The topics spanned Cauchy's theorem, Taylor, Fourier and Laurent series and Laplace transforms.
They also covered residues, evaluation of integrals, multivalued functions and potential theory in two dimensions.
Saff, Edward B., and Arthur David Snider. Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002. ISBN: 0139078746.
Some of the homework suggested in the readings section seemed especially well suited for the students' practice and for discussion at the recitations.
The 3 problem sets were due at lectures 8, 17 and 27.
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Complex variables with applications