Mod-01 Lec-03 Topology of the Complex Plane Part-I | Courses.com

Course Lectures

Mod-01 Introduction
Prof. P. A. S. Sree Krishna

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Mod-01 Lec-01 Introduction to Complex Numbers
Prof. P. A. S. Sree Krishna

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Mod-01 Lec-02 de Moivre's Formula and Stereographic Projection
Prof. P. A. S. Sree Krishna

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Mod-01 Lec-03 Topology of the Complex Plane Part-I
Prof. P. A. S. Sree Krishna

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Mod-01 Lec-04 Topology of the Complex Plane Part-II
Prof. P. A. S. Sree Krishna

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Mod-01 Lec-05 Topology of the Complex Plane Part-III
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-01 Introduction to Complex Functions
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-02 Limits and Continuity
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-03 Differentiation
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-04 Cauchy-Riemann Equations and Differentiability
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-05 Analytic functions; the exponential function
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-06 Sine, Cosine and Harmonic functions
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-07 Branches of Multifunctions; Hyperbolic Functions
Prof. P. A. S. Sree Krishna

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Mod-02 Lec-08 Problem Solving Session I
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-01 Integration and Contours
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-02 Contour Integration
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-03 Introduction to Cauchy's Theorem
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-04 Cauchy's Theorem for a Rectangle
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-05 Cauchy's theorem Part - II
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-06 Cauchy's Theorem Part - III
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-07 Cauchy's Integral Formula and its Consequences
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-08 The First and Second Derivatives of Analytic Functions
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-09 Morera's Theorem and Higher Order Derivatives of Analytic Functions
Prof. P. A. S. Sree Krishna

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Mod-03 Lec-10 Problem Solving Session II
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-01 Introduction to Complex Power Series
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-02 Analyticity of Power Series
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-03 Taylor's Theorem
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-04 Zeroes of Analytic Functions
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-05 Counting the Zeroes of Analytic Functions
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-06 Open mapping theorem -- Part I
Prof. P. A. S. Sree Krishna

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Mod-04 Lec-07 Open mapping theorem -- Part II
Prof. P. A. S. Sree Krishna

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Mod-05 Lec-01 Properties of Mobius Transformations Part I
Prof. P. A. S. Sree Krishna

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Mod-05 Lec-02 Properties of Mobius Transformations Part II
Prof. P. A. S. Sree Krishna

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Mod-05 Lec-03 Problem Solving Session III
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-01 Removable Singularities
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-02 Poles Classification of Isolated Singularities
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-03 Essential Singularity & Introduction to Laurent Series
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-04 Laurent's Theorem
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-05 Residue Theorem and Applications
Prof. P. A. S. Sree Krishna

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Mod-06 Lec-06 Problem Solving Session IV
Prof. P. A. S. Sree Krishna

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