## Calculus II - MTH301 - VU Video Lectures

2881 Views
Introduction, Integral Calculus, Location of a point, Concept of a Function, Examples of function, Function of Several Variables.
1082 Views
Values of functions, Function of One,two,three and n Variables.
995 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.
1041 Views
Polar co-ordinates, Conversion formula from polar to Cartesian coordinates, Cylindrical co-ordinates, Spherical co-ordinates.
1019 Views
Limit of multivariable function, Domains and Ranges,Rules for limit.
856 Views
Geometry of continuous functions, Continuity of functions of two and three variables, Partial derivative.
847 Views
Geometric meaning of partial derivative, Partial Derivatives of Higher Orders, Laplace’s Equation, Euler’s theorem.
908 Views
Order of differentiation, Chain rule in function of One variable.
809 Views
The Chain Rule for Functions of many variables.
922 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.
1283 Views
The triple scalar, Directional derivative, Properties of directional derivatives.
1099 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.
853 Views
Orthogonal Surface, Normal line, total differential for function of one and two variables.
861 Views
Extrema of functions of two variables, Extreme value theorm, Absolute maximum and manimum.
906 Views
Graph of f(x,y), The second partial derivative test.
876 Views
Extreme valued theorem.
890 Views
Examples.
884 Views
Revision of integration, Double integral,Iterated or repeated integral.
907 Views
Use Of integrals.
881 Views
Double integral for non-rectangular region.
846 Views
Examples.
941 Views
Examples.
930 Views
Polar coordinate systems, Lines in polar coordinates, Circle in polar coordinates, Equation of circle in polar coordinates.
972 Views
Sketching, Sketching of curves in polar coordinates, Cardioids and Limacons, Spiral.
841 Views
Double integrals in polar co-ordinates.
845 Views
Examples.
859 Views
Vector valued functions, Parametric equations in vector form.
1057 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.
778 Views
Change of parameter.
1147 Views
Exact differential, Integration Of exact differentials, Line integrals.
833 Views
Line integral, Properties of line integrals.
801 Views
Examples, Dependence of the line integral.
817 Views
Examples, Exact differentials in three independent variables, Green’s thorem.
1451 Views
Examples, Gradient of a scalar function, Div(Divergence) and Curl of a vector function, Multiple operations.
937 Views
Definite integrals, Wallis sine formula, Integration by parts.
958 Views
Scalar and Vector fields.
831 Views
Examples, Conservative vector fields.
905 Views
Conservative vector fields, Divergence theorem (Gauss’ theorem), Stokes theorem.
881 Views
Periodic functions, Fourier series.
870 Views
Fourier series, Fourier coefficients, Result for fourier series, Dirichlet conditions.
1244 Views
Examples, Odd And even functions.
826 Views
Examples, Half-range series.
924 Views
Functions with period-T, Half-wave rectifier.
848 Views
Laplace transform, Euler formaula.
951 Views
First shift theorem, Inverse transforms, Rules of partial fractions.