| 1 | Introduction | PDF unavailable |
| 2 | Introduction to Complex Numbers | PDF unavailable |
| 3 | de Moivre’s Formula and Stereographic Projection | PDF unavailable |
| 4 | Topology of the Complex Plane Part-I | PDF unavailable |
| 5 | Topology of the Complex Plane Part-II | PDF unavailable |
| 6 | Topology of the Complex Plane Part-III | PDF unavailable |
| 7 | Introduction to Complex Functions | PDF unavailable |
| 8 | Limits and Continuity | PDF unavailable |
| 9 | Differentiation | PDF unavailable |
| 10 | Cauchy-Riemann Equations and Differentiability | PDF unavailable |
| 11 | Analytic functions; the exponential function | PDF unavailable |
| 12 | Sine, Cosine and Harmonic functions | PDF unavailable |
| 13 | Branches of Multifunctions; Hyperbolic Functions | PDF unavailable |
| 14 | Problem Solving Session I | PDF unavailable |
| 15 | Integration and Contours | PDF unavailable |
| 16 | Contour Integration | PDF unavailable |
| 17 | Introduction to Cauchy’s Theorem | PDF unavailable |
| 18 | Cauchy’s Theorem for a Rectangle | PDF unavailable |
| 19 | Cauchy’s theorem Part - II | PDF unavailable |
| 20 | Cauchy’s Theorem Part - III | PDF unavailable |
| 21 | Cauchy’s Integral Formula and its Consequences | PDF unavailable |
| 22 | The First and Second Derivatives of Analytic Functions | PDF unavailable |
| 23 | Morera’s Theorem and Higher Order Derivatives of Analytic Functions | PDF unavailable |
| 24 | Problem Solving Session II | PDF unavailable |
| 25 | Introduction to Complex Power Series | PDF unavailable |
| 26 | Analyticity of Power Series | PDF unavailable |
| 27 | Taylor’s Theorem | PDF unavailable |
| 28 | Zeroes of Analytic Functions | PDF unavailable |
| 29 | Counting the Zeroes of Analytic Functions | PDF unavailable |
| 30 | Open mapping theorem – Part I | PDF unavailable |
| 31 | Open mapping theorem – Part II | PDF unavailable |
| 32 | Properties of Mobius Transformations Part I | PDF unavailable |
| 33 | Properties of Mobius Transformations Part II | PDF unavailable |
| 34 | Problem Solving Session III | PDF unavailable |
| 35 | Removable Singularities | PDF unavailable |
| 36 | Poles Classification of Isolated Singularities | PDF unavailable |
| 37 | Essential Singularity & Introduction to Laurent Series | PDF unavailable |
| 38 | Laurent’s Theorem | PDF unavailable |
| 39 | Residue Theorem and Applications | PDF unavailable |
| 40 | Problem Solving Session IV | PDF unavailable |