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Calculus II - MTH301 - VU Video Lectures
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.
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