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Calculus II - MTH301 - VU Video Lectures
751 Views
Introduction, Integral Calculus, Location of a point, Concept of a Function, Examples of function, Function of Several Variables.
453 Views
Values of functions, Function of One,two,three and n Variables.
377 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.
452 Views
Polar co-ordinates, Conversion formula from polar to Cartesian coordinates, Cylindrical co-ordinates, Spherical co-ordinates.
380 Views
Limit of multivariable function, Domains and Ranges,Rules for limit.
317 Views
Geometry of continuous functions, Continuity of functions of two and three variables, Partial derivative.
296 Views
Geometric meaning of partial derivative, Partial Derivatives of Higher Orders, Laplace’s Equation, Euler’s theorem.
327 Views
Order of differentiation, Chain rule in function of One variable.
292 Views
The Chain Rule for Functions of many variables.
356 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.
369 Views
The triple scalar, Directional derivative, Properties of directional derivatives.
468 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.
304 Views
Orthogonal Surface, Normal line, total differential for function of one and two variables.
297 Views
Extrema of functions of two variables, Extreme value theorm, Absolute maximum and manimum.
314 Views
Graph of f(x,y), The second partial derivative test.
349 Views
Revision of integration, Double integral,Iterated or repeated integral.
330 Views
Double integral for non-rectangular region.
292 Views
Polar coordinate systems, Lines in polar coordinates, Circle in polar coordinates, Equation of circle in polar coordinates.
332 Views
Sketching, Sketching of curves in polar coordinates, Cardioids and Limacons, Spiral.
289 Views
Vector valued functions, Parametric equations in vector form.
264 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.
487 Views
Exact differential, Integration Of exact differentials, Line integrals.
286 Views
Line integral, Properties of line integrals.
256 Views
Examples, Exact differentials in three independent variables, Green’s thorem.
289 Views
Examples, Gradient of a scalar function, Div(Divergence) and Curl of a vector function, Multiple operations.
307 Views
Definite integrals, Wallis sine formula, Integration by parts.
334 Views
Conservative vector fields, Divergence theorem (Gauss’ theorem), Stokes theorem.
291 Views
Fourier series, Fourier coefficients, Result for fourier series, Dirichlet conditions.
346 Views
Functions with period-T, Half-wave rectifier.
346 Views
First shift theorem, Inverse transforms, Rules of partial fractions.
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