800 Views

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

486 Views

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

413 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.

488 Views

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

415 Views

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

351 Views

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

325 Views

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

366 Views

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

324 Views

The Chain Rule for Functions of many variables.

388 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.

404 Views

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

509 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.

335 Views

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

331 Views

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

347 Views

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

380 Views

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

361 Views

Double integral for non-rectangular region.

330 Views

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

368 Views

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

322 Views

Vector valued functions, Parametric equations in vector form.

299 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.

536 Views

Exact differential, Integration Of exact differentials, Line integrals.

320 Views

Line integral, Properties of line integrals.

289 Views

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

324 Views

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

349 Views

Definite integrals, Wallis sine formula, Integration by parts.

367 Views

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

326 Views

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

388 Views

Functions with period-T, Half-wave rectifier.

394 Views

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