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Mod-01 Lec-00 Introduction |
Complex Analysis |
39 min |
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Mod-01 Lec-01 Introduction to Complex Numbers |
Complex Analysis |
64 min |
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Mod-01 Lec-02 de Moivres Formula and Stereographic Projection |
Complex Analysis |
49 min |
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Mod-01 Lec-03 Topology of the Complex Plane Part-I |
Complex Analysis |
56 min |
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Mod-01 Lec-04 Topology of the Complex Plane Part-II |
Complex Analysis |
53 min |
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Mod-01 Lec-05 Topology of the Complex Plane Part-III |
Complex Analysis |
55 min |
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Mod-02 Lec-01 Introduction to Complex Functions |
Complex Analysis |
54 min |
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Mod-02 Lec-02 Limits and Continuity |
Complex Analysis |
44 min |
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Mod-02 Lec-03 Differentiation |
Complex Analysis |
60 min |
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Mod-02 Lec-04 Cauchy-Riemann Equations and Differentiability |
Complex Analysis |
54 min |
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Mod-02 Lec-05 Analytic functions; the exponential function |
Complex Analysis |
52 min |
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Mod-02 Lec-06 Sine, Cosine and Harmonic functions |
Complex Analysis |
57 min |
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Mod-02 Lec-07 Branches of Multifunctions; Hyperbolic Functions |
Complex Analysis |
51 min |
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Mod-02 Lec-08 Problem Solving Session I |
Complex Analysis |
51 min |
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Mod-03 Lec-01 Integration and Contours |
Complex Analysis |
49 min |
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Mod-03 Lec-02 Contour Integration |
Complex Analysis |
52 min |
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Mod-03 Lec-03 Introduction to Cauchys Theorem |
Complex Analysis |
43 min |
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Mod-03 Lec-04 Cauchys Theorem for a Rectangle |
Complex Analysis |
61 min |
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Mod-03 Lec-05 Cauchys theorem Part – II |
Complex Analysis |
51 min |
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Mod-03 Lec-06 Cauchys Theorem Part – III |
Complex Analysis |
48 min |
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Mod-03 Lec-07 Cauchys Integral Formula and its Consequences |
Complex Analysis |
56 min |
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Mod-03 Lec-08 The First and Second Derivatives of Analytic Functions |
Complex Analysis |
52 min |
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Mod-03 Lec-09 Moreras Theorem and Higher Order Derivatives of Analytic Functions |
Complex Analysis |
51 min |
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Mod-03 Lec-10 Problem Solving Session II |
Complex Analysis |
56 min |
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Mod-04 Lec-01Introduction to Complex Power Series |
Complex Analysis |
49 min |
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Mod-04 Lec-02 Analyticity of Power Series |
Complex Analysis |
49 min |
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Mod-04 Lec-03 Taylors Theorem |
Complex Analysis |
50 min |
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Mod-04 Lec-04 Zeroes of Analytic Functions |
Complex Analysis |
51 min |
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Mod-04 Lec-05 Counting the Zeroes of Analytic Functions |
Complex Analysis |
52 min |
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Mod-04 Lec-06 Open mapping theorem — Part I |
Complex Analysis |
51 min |
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Mod-04 Lec-07 Open mapping theorem — Part II |
Complex Analysis |
47 min |
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Mod-05 Lec-01 Properties of Mobius Transformations Part I |
Complex Analysis |
48 min |
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Mod-05 Lec-02 Properties of Mobius Transformations Part II |
Complex Analysis |
47 min |
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Mod-05 Lec-03 Problem Solving Session III |
Complex Analysis |
48 min |
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Mod-06 Lec-01 Removable Singularities |
Complex Analysis |
45 min |
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Mod-06 Lec-02 Poles Classification of Isolated Singularities |
Complex Analysis |
48 min |
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Mod-06 Lec-03 Essential Singularity & Introduction to Laurent Series |
Complex Analysis |
47 min |
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Mod-06 Lec-04 Laurents Theorem |
Complex Analysis |
46 min |
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Mod-06 Lec-05 Residue Theorem and Applications |
Complex Analysis |
52 min |
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Mod-06 Lec-06 Problem Solving Session IV |
Complex Analysis |
53 min |
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