Lecture#6 Complex Analysis by Denni G Zill || Ch# 1 Set of Points in Complex Plane Complex analysis

Lecture#6 Complex Analysis by Denni G Zill || Ch# 1 Set of Points in Complex Plane Complex analysis
Dear students in this interesting video you will learn easy concept of Set of points in the complex plane. Disks , Neighborhood, Circles, Open set , closed set , connected set and more concepts in one video. Subcribe For more updated and conceptual videos

Course Name: Complex Analysis By Dennis G Zill Solutions
Course Intstructior: Malik Aqeel ( Math Tutor-2)
Objectives:
The main objectives of this course are to:
 Get firm grip on basic ideas of complex numbers and their basic operations
with examples.
 Apply and use the concepts of analytic functions and limits.
 Know concretely about elementary functions and their properties.
 Understand ideas of complex integration and power series expansion.
 Use concept of residues.

PDF link:

Course Outline:
Complex Numbers: Complex Numbers and their Algebraic Properties, Cartesian and Polar
Coordinates
Analytic Functions: Limits, Continuity, Continuity in a Region, Uniform Continuity,
Derivatives, Cauchy-Riemann Equations
Elementary Functions: Exponential, Logarithmic, hyperbolic functions
Complex and Contour Integrations: Definite Integrals, Contours, Line Integrals, The CauchyGoursat Theorem, Proof of the Cauchy-Goursat Theorem, Simply and Multiply Connected
Domains, Indefinite Integrals, The Cauchy Integral Formula, Morera's Theorem, Maximum
Moduli of Functions, The Fundamental Theorem of Algebra and its applications, Liouvilles
theorem.
Power Series: Convergence of Sequences and Series, Taylor Series, Laurent Series, Uniform
Convergence, Integration and Differentiation of Power Series
The Calculus of Residues: Zeros of Analytic functions, Singularities and its types, Poles,
Residues at Poles, Cauchy’s Residue Theorem and its application in computing improper
integrals.
Recommended Books:
 Churchill, R. (2008). Complex Variables and Applications. McGraw –Hill.
 Pennissi, L. (1976). Elements of Complex Variables, Rinchart and Winston
 Mark J. Ablowitz and Fokas A.S, Complex Variables, Cambridge University Press.
 Shabat, B.V.(1992), Introduction to Complex Analysis, American Mathematical
Society.

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Thanks for watching

[Mr.Alihassan]

Sir ap k notes pdf ki form me mil sktay hain???

[maths.siddiqui]

Sir plz soft form me ye notes send krde plz .