| 1 | Definition of Complex Numbers, Their Algebraic and geometric properties | [1] p. 1-20, [2] p. 1-24, [3] p. 1-30, [4] p. 1-28 |
| 2 | Polar Form of Complex Numbers and Their Powers and Roots | [1] p. 1-20, [2] p. 1-24, [3] p. 1-30, [4] p. 1-28 |
| 3 | Topology of Complex Plane | [2] p. 25-31, [3] p. 30-38, [4] p. 29-33, [5] p. 29-56 |
| 4 | Complex Sequences | [1] p. 141-145, [2] p. 32-44, [3] p. 95-99, [5] p. 17-22 |
| 5 | Complex Series and Power Series | [1] p. 141-145, [2] p. 153-164, [3] p. 99-116, [4] p. 303-313, [5] p. 23-36 and 73-79 |
| 6 | Functions of a Complex Variable and mappings | [1] p. 22-25, [3] p. 38-53, [4] p. 49-100 |
| 7 | Limits of a Complex Function | [1] p. 25-32, [3] p. 53-60, [4] p. 110-119 |
| 8 | The Riemann Sphere and Stereographic Projection | [2] p. 44-48 and 56-59, [3] p. 66-70 |
| 9 | Continuity and uniform continuity of a Complex Function | [1] p. 33-36, [2] p. 48-56, [3] p. 53-60, [4] p. 119-132 |
| 10 | Derivatives of Complex Function and Cauchy-Riemann Equations | [1] p. 36-45, [2] p. 121-130, [3] p. 71-84, [4] p. 141-158, [5] p. 61-69 |
| 11 | Analytical functions and their relevance to sustainable engineering. | [1] p. 46-47, [2] p. 130-141, [4] p. 141-158, [5] p. 70-73 |
| 12 | The Exponential, Logarithm, and Trigonometric Functions | [1] p. 52-72, [2] p. 91-120, [3] p. 125-156, [4] p. 175-221, [5] p. 79-96 |
| 13 | Properties of Analytic Functions | [1] p. 46-47, [2] p. 141-152, [4] p. 141-158, [5] p. 70-73 |
| 14 | Properties of Analytic Functions | [1] p. 46-47, [2] p. 141-152, [4] p. 141-158, [5] p. 70-73 |