Explore integral calculus through a comprehensive 5-hour video series covering arc length, volumes and surface areas of solids of revolution, multiple integrals, Taylor series, limits, continuity, and partial derivatives. Learn to apply formulas for arc length in Cartesian, parametric, and polar forms, calculate volumes using various integration techniques, and understand the principles of double and triple integrals. Dive into multivariable calculus concepts, including Taylor series expansions for functions of two variables, limits and continuity in multiple dimensions, and differentiability. Master important theorems like Dirichlet's, Mean Value, Rolle's, Lagrange's, and Cauchy's, while gaining proficiency in manipulating Taylor and Maclaurin series.
Overview
Syllabus
Arc Length | Arc Length Formula | Rectification | Integral Calculus Part-I.
Arc Length | Arc Length Formula | Rectification | Integral Calculus Part-II.
Arc Length | Arc Length of Polar Curve | Cardioid | Integral Calculus.
Volume of Solids of Revolution | Cartesian & Parametric Form BY GP Sir.
Surface Area of Solids of Revolution | Cartesian & Parametric Form.
Double Integral & Area By Double Integration | Multiple Integral.
Double Integration - Change of Order of Integration | Cartesian & Polar.
Triple Integral | Integral Calculus | Multivariable Calculus | GP Sir.
Triple Integral | Integral Calculus | Multivariable Calculus | Volume By Triple Integral.
Triple Integral | Dirichlet Theorem | Integral Calculus | Multivariable Calculus.
Taylor Series | Taylor Series Expansion | For Function Of Two Variable | Part-I.
Taylor Series | Taylor Series Expansion | For Function Of Two Variable | Part-II.
Limit of a function | Two Variable Function | Epsilon Delta definition of Limit | Examples.
Limit of a function | Two Variable Function | Examples & Solution | Part-II.
Continuity of a Function | Two Variable Function | Multivariable Calculus.
Partial Derivative | Function Of Two Variable | Examples By Limit Definition.
Differentiability | Two Variable Function | Multivariable Calculus.
Calculus | Important formulae | Limit Continuity And Differentiability.
Calculus | Mean Value Theorem | Important formulae | Rolles, Lagrange & Cauchy.
Calculus | Taylor Series | Maclaurin Series | Important formulae.
Taught by
Gajendra Purohit
