Week - 1 |
Basic Concepts: Real numbers and the real axis |
Week - 2 |
Cartesian coordinates in the plane, Complex numbers, Graphs of quadratic equations |
Week - 3 |
Functions; Limit and Continuity: Limits of functions, Continuity |
Week - 4 |
Derivative: Tangent lines and their slopes |
Week - 5 |
Concept of derivative, Differentiation Rules |
Week - 6 |
Inverse, Exponential and Logarithmic Functions |
Week - 7 |
Applications of Derivative: Indeterminate forms |
Week - 8 |
Applications of Derivative: Extremum values |
Week - 9 |
Applications of Derivative: Sketching the graph of a function |
Week - 10 |
Integral: Definite integral and its properties |
Week - 11 |
Indefinite integral |
Week - 12 |
Integration Techniques: Change of variables, integration by parts |
Week - 13 |
Integrals of rational functions |
Week - 14 |
Improper integrals |