Exercise#4.1Complex Analysis By Denni Zill - How to solve Complex logarithmic function@MathTutor2-

Exercise#4.1Complex Analysis By Denni Zill - How to solve Complex logarithmic function @Math Tutor 2
Dear students in this lecture we will learn how to solve complex logarithmic functions. Subscribe my channel to get more video lectures.

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

[mathmagician]

Sir ji ap Bakammal teacher haen qassam say.Merra Rab ap ko Deen o dunniaan maen kamyabiaan daey.

[sadiatayyab]

Thank you sir for such a help may Allah bless you

[adeelzafer]

Thanks a lot Sir g Allah pak aap ko hamesha khush rakhe ameen

[diamonds]

Amazing lectures thanku so much for great help.... a little mistake in quadrant of ques 22 there will be quad 4th instead of 3

[fatimamurtaza]

Sir plz upload complex analysis
chapter 2
exercise #2.6
continuity exercise solution

[Rahejannat-]

Sir plz 4.4 kay next questions bhi upload kr day plz

[S----]

Kindly Qno#33 sy 36 tk b upload kr dyn

[ahadraza]

Sir kindly section 3.7 ki vedio upload kr dein

[queenjasmine]

Qno 22 main jo angle find kiya hai ap ny x +ve & y-ve hai then 4th qudrant banta kasey kar diya

[ArfaRana]

Sir yh 2nπ Jo add krty h yh Kesy pta chlta kis ma add krna

[ahmadraza]

Sir g 4.1 k question 32 se 50 tk krwa dy plzz

[hammadsafimaths]

Sir is video Ka pdf Nahi ha .kindly wo share kijiya

[Rahejannat-]

A.o.a sir question no 28 my hm nay 2nΠ add q nahi kiia argument may jesay baqi questions may add kia tha

[Rahejannat-]

Or question no may agr radian may convert na karay 180 ki jagaa 3.14 hi likh kr solve karay to kya theek hoga

[Khizer]

Q22- mistake. 4th quadrant me aata h theta -π/2 bnta h 😊