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Complex Variables with Applications >> Content Detail



Handouts



Handouts

Our supplementary handouts were mostly graphical, and they appeared at the lectures listed in this table.

LEC #TOPICSHANDOUTS
I. Complex Algebra and Functions
5Simple Mappings: az+b, z2, √z

Idea of Conformality
(PDF)
6Complex Exponential(PDF)
7Complex Trigonometric and Hyperbolic Functions(PDF)
II. Complex Integration
11Contour Integrals(PDF)
15Bounds

Liouville's Theorem

Maximum Modulus Principle
(PDF)
17Radius of Convergence of Taylor Series(PDF)
III. Residue Calculus
21Real Integrals From -∞ to +∞

Conversion to cx Contours
(PDF)
IV. Conformal Mapping
25Invariance of Laplace's Equation(PDF)
27Bilinear/Mobius Transformations(PDF)
28Applications I(PDF)
29Applications II(PDF)
V. Fourier Series and Transforms
30Complex Fourier Series(PDF)
31Oscillating Systems

Periodic Functions
(PDF)
32Questions of Convergence

Scanning Function

Gibbs Phenomenon
(PDF)
35Special Topic: The Magic of FFTs I(PDF)
36Special Topic: The Magic of FFTs II(PDF)

 








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