Week - 1 |
Integration of functions of one variable.
Properties of integral.
The integral of a function of two variables. |
Week - 2 |
The integral of a function of n variables.
Properties of the iterative integrals.
Integrable functions. |
Week - 3 |
Measurable and zero volume sets. |
Week - 4 |
Fubini Theorem. Integral over general regions. |
Week - 5 |
Applications of integrations. |
Week - 6 |
Changing of variable formula. Coordinate transformations in triple integration. |
Week - 7 |
Improper integrals. |
Week - 8 |
Line integrals.
Line integrals of a function. |
Week - 9 |
Line integrals of vector fields. Conservative vector fields. |
Week - 10 |
Green Theorem |
Week - 11 |
Surfaces, surface area. Surface integrals. |
Week - 12 |
First and second kind surface integrals. |
Week - 13 |
Applications of surface integrals. |