Exercise43Complex analysis by denni zill How to solve Complex trigonometric functions

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Exercise#4.3Complex analysis by denni zill - How to solve Complex trigonometric function @Math Tutor 2 • Dear students in this lecture we will learn how to solve complex trigonometric 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:https://drive.google.com/file/d/1f9tH... • • 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. • *************************************************************************************************************************************** • #Complex_Analysis_by_denni_Zill_Solutions • #Exercise_solutions • #Math_tutor_2 • Thanks for watching

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