MATH305-201 :       Applied Analysis and Complex Variables   (2nd term 2022/2023)

Lecture   I: Monday 12noon--1:00pm, BUCH-A203.

Lecture   II: Wednesday 12noon--1:00pm, BUCH-A203.

Lecture   III: Friday 12noon--1:00pm, BUCH-A203.

Office Hours: Every Monday, Wednesday, 3:00pm-4:30pm, LSK 303B. Friday and Sunday (Zoom): 9-10pm

Lecture Notes For MATH305

Lecture Notes Lecture Notes 1-Notes on Fundamentals (Sections 1.1-1.6, 2.1) Extra Notes

Lecture Notes Lecture Notes 2-Notes on Analyticity (Sections 2.2--2.5) Proof of Theorem 2 on CR Equations (expanded version: page 75 of book)

Lecture Notes 2.5 Lecture Notes on Conformal Mappings and Laplace Equation

Lecture Notes 3 Lecture Notes 3- Notes on Some Simple Functions (Sections 3.1-3.2)

Lecture Notes 4 Lecture Notes 4-Notes on Multi-valued Functions (Sections 3.3 and 3.5) (Also take a look at these notes on branch cuts by Prof. Rosales of MIT) (Here are also a few additional carefully worked out problems with branch cuts)

Lecture Notes 4.5 Lecture Notes 4.5-Notes on inverse function of sin (z)

Lecture Notes 5 Lecture Notes 5-Notes on Contour Integration, Cauchy's Integral Theorem (Sections 4.1--4.3): First batch of notes Second batch of notes

Lecture Notes 6 Lecture Notes 6-Notes on Nyquist Criterion

Lecture Notes 6.5 Lecture Notes 6.5-Notes on Rouche's Theorem

Lecture Notes 7 Lecture Notes 7-Notes on Residue Calculus

Lecture Notes 8 Lecture Notes 8-Notes on Integration by Residue Calculus

Lecture Notes 8-5 Lecture Notes 8-5: A Summary

Lecture Notes 9 Lecture Notes 9- Notes on Laurent Series, Singularities and Residue Calculus

Lecture Notes 10 Lecture Notes 10- Notes on Fourier Transforms and Applications

Downloads For MATH305

Download 1: Syllabus

Updates For MATH 305

Jan. 10, 2023: Fundamentals of complex variable. Euler's formula. Polar coordinate. Principal value of argument Arg (z).

Announcements For MATH 305

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