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Calculus II - MTH301 - VU Video Lectures
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.
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