Week - 1 |
Basic Concepts: Real numbers and real axis |
Week - 2 |
Cartesian coordinates in the plane, Complex numbers, Graphs of quadratic equations |
Week - 3 |
Functions; Limit and Continuity: Limit of functions, Continuity |
Week - 4 |
Derivative: Tangent lines and slopes |
Week - 5 |
The concept of derivative, rules of derivation |
Week - 6 |
Inverse, Exponential and Logarithmic Functions |
Week - 7 |
Derivative Applications: Indefinite forms |
Week - 8 |
Derivative Applications: Extreme values |
Week - 9 |
Derivative Applications: Graph sketching |
Week - 10 |
Integral: Definite integral and its properties |
Week - 11 |
Indefinite integral |
Week - 12 |
Integration Techniques: Change of variables, Integration by parts |
Week - 13 |
Integration of rational functions |
Week - 14 |
Improper integrals |