430 Views

Introduction, Integral Calculus, Location of a point, Concept of a Function, Examples of function, Function of Several Variables.

268 Views

Values of functions, Function of One,two,three and n Variables.

194 Views

Distance formula in three dimension, Mid point of two points, Direction Angles, Direction Ratios, Direction cosines, Intesection of two surfaces and planes, Intersection of Cone and sphere, General Equation of Plane.

226 Views

Polar co-ordinates, Conversion formula from polar to Cartesian coordinates, Cylindrical co-ordinates, Spherical co-ordinates.

230 Views

Limit of multivariable function, Domains and Ranges,Rules for limit.

173 Views

Geometry of continuous functions, Continuity of functions of two and three variables, Partial derivative.

148 Views

Geometric meaning of partial derivative, Partial Derivatives of Higher Orders, Laplace’s Equation, Euler’s theorem.

161 Views

Order of differentiation, Chain rule in function of One variable.

175 Views

The Chain Rule for Functions of many variables.

206 Views

Introduction to vectors, Magnitude or Length Of vector, Unit vector, Addition Of vectors, Equal and Opposite vectors, Angle between two vectors, Right-hand rule.

182 Views

The triple scalar, Directional derivative, Properties of directional derivatives.

225 Views

Tangent planes to the surfaces, Normal line to the surfaces, General equation of straight line, Parametric equation of a line, Equation of a plane, Tangent Plane and Normal Line.

172 Views

Orthogonal Surface, Normal line, total differential for function of one and two variables.

153 Views

Extrema of functions of two variables, Extreme value theorm, Absolute maximum and manimum.

172 Views

Graph of f(x,y), The second partial derivative test.

197 Views

Revision of integration, Double integral,Iterated or repeated integral.

202 Views

Double integral for non-rectangular region.

164 Views

Polar coordinate systems, Lines in polar coordinates, Circle in polar coordinates, Equation of circle in polar coordinates.

173 Views

Sketching, Sketching of curves in polar coordinates, Cardioids and Limacons, Spiral.

139 Views

Vector valued functions, Parametric equations in vector form.

137 Views

Limits of vector valued functions, Continuity of vector-valued functions, Derivative of vector-valued functions, Rules of differentiation, Integral vector-valued function, Properties of integral.

207 Views

Exact differential, Integration Of exact differentials, Line integrals.

138 Views

Line integral, Properties of line integrals.

137 Views

Examples, Exact differentials in three independent variables, Green’s thorem.

134 Views

Examples, Gradient of a scalar function, Div(Divergence) and Curl of a vector function, Multiple operations.

169 Views

Definite integrals, Wallis sine formula, Integration by parts.

173 Views

Conservative vector fields, Divergence theorem (Gauss’ theorem), Stokes theorem.

149 Views

Fourier series, Fourier coefficients, Result for fourier series, Dirichlet conditions.

177 Views

Functions with period-T, Half-wave rectifier.

191 Views

First shift theorem, Inverse transforms, Rules of partial fractions.