577 Views

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

364 Views

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

293 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.

344 Views

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

298 Views

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

243 Views

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

228 Views

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

255 Views

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

233 Views

The Chain Rule for Functions of many variables.

273 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.

277 Views

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

334 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.

234 Views

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

215 Views

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

243 Views

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

267 Views

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

266 Views

Double integral for non-rectangular region.

214 Views

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

262 Views

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

216 Views

Vector valued functions, Parametric equations in vector form.

190 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.

336 Views

Exact differential, Integration Of exact differentials, Line integrals.

218 Views

Line integral, Properties of line integrals.

191 Views

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

203 Views

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

221 Views

Definite integrals, Wallis sine formula, Integration by parts.

270 Views

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

224 Views

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

274 Views

Functions with period-T, Half-wave rectifier.

255 Views

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