379 Views

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

241 Views

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

168 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.

200 Views

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

210 Views

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

159 Views

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

132 Views

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

149 Views

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

160 Views

The Chain Rule for Functions of many variables.

178 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.

157 Views

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

195 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.

154 Views

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

139 Views

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

154 Views

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

178 Views

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

192 Views

Double integral for non-rectangular region.

148 Views

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

154 Views

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

128 Views

Vector valued functions, Parametric equations in vector form.

125 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.

182 Views

Exact differential, Integration Of exact differentials, Line integrals.

122 Views

Line integral, Properties of line integrals.

127 Views

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

117 Views

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

155 Views

Definite integrals, Wallis sine formula, Integration by parts.

150 Views

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

136 Views

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

148 Views

Functions with period-T, Half-wave rectifier.

168 Views

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