Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications.
Course Curriculum
| DOUBLE INTEGRAL | |||
| Introduction to Double Integrals | 00:12:00 | ||
| Change of Order | 01:50:00 | ||
| Transformation of Variables | 01:01:00 | ||
| BETA AND GAMMA FUNCTION | |||
| Beta and Gamma Function | 00:33:00 | ||
| Dirichlet Theorem | 00:21:00 | ||
| VOLUME | |||
| Introduction and Problems on Volume Calculation | 01:04:00 | ||
| Calculating Volumes Using Polar Coordinates | 00:55:00 | ||
| Centre of Mass | 00:43:00 | ||
| Moment of Inertia | 00:08:00 | ||
| Volume of the Region Bounded by Surface of Revolution | 00:57:00 | ||
| SURFACE AREA | |||
| Surface Area | 00:40:00 | ||
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