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Calculus Videos Tutorials

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Derivativesby LearnOnline Through OCW

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The introduction of differentiation is given in this video lecture. The definition of derivative is explained. The geometrical and physical interprita...

Use of partial derivative in max-min problems.by LearnOnline Through OCW

518 Views

The use of partial derivatives in maximization and minimization problems is explained with the help of some examples. The approximation formula is sta...

Parametric equations of a line.by LearnOnline Through OCW

208 Views

How to find the equation of the line of intersection of two planes is discussed in this video. The trajectory of a moving point is discussed using the...

Substitution of the variables in double integrationby LearnOnline Through OCW

487 Views

How the variables in a double integral can be substituted by other variables, this is explained through examples in this video lecture. The double int...

Theorems on gradient and its application.by LearnOnline Through OCW

194 Views

Gradient is defined and explained in this video tutorial by Prof. Denis Auroux. The theorems related to gradient are analysed. Some problems are solve...

Average value and weighted average.by LearnOnline Through OCW

174 Views

Riemann definition of integration as an avegage value of the given function at various points including the starting and the end points is derived. ...

Formulas of derivative and integration of trigonometric functions.by LearnOnline Through OCW

852 Views

The basic formulas of integrating trigonometric functions are explained by Prof. David Jerison in this video tutorial. Application of these formulas a...

Use of non independent variables.by LearnOnline Through OCW

158 Views

Example from Physics is discussed when three or more variables are dependent on each other e.g. pressure volume and temperature are non independent va...

Introduction of double integration.by LearnOnline Through OCW

375 Views

Integration of a function of a single variable is defined as the area below the graph of the function in a certain interval where as double integratio...

Integration by inverse substitutionby LearnOnline Through OCW

204 Views

Relations of various trigonometric functions are discussed in this video lecture.as well as integration of trigonometric functions using inverse subst...

Convergent and divergent integrals finite and infinite series.by LearnOnline Through OCW

671 Views

Second kind of improper integrals is defined. Methods to identify convergent and divergent integrals and finite and infinite series are discussed. Fro...

Specific and general derivative formulasby LearnOnline Through OCW

464 Views

The video explains the formulas for differentiating various trigonometric functions viz, sin x, cos x. Also it includes geometrical proof of some bas...

Examples of maxima minima problems.by LearnOnline Through OCW

554 Views

Maxima-minima problems are solved in this video. Difference between minimum point and minimum value is explained with the help of various examples. ho...

Vector fields and line integrals in the planeby LearnOnline Through OCW

426 Views

The vector field is defined and explained in this video tutorial. Examples of vector field e.g the picture of wind patterns off the coast California w...

Triple integrals in rectangular and cylindrical coordinates.by LearnOnline Through OCW

417 Views

Work, flux curl etc are introduced in the space that is the form of this in three dimensional geometry is discussed in this video tutorial by Prof. D...

Physical interpretation of divergence of a field.by LearnOnline Through OCW

497 Views

The divergence theorem gives us a way to compute the flux of a vector field for a closed surface, this is explained taking example of a closed surface...

Vector fields in 3D; surface integrals and flux.by LearnOnline Through OCW

404 Views

Vector field is explained in the space, that is in three dimensional coordinates. Examples of vector fields in the space e.g the the gravitational fo...

Flux and the normal form of Green's theoremby LearnOnline Through OCW

480 Views

The flux of a vector field across a plane curve is defined and explained by Prof. Denis Auroux in this video tutorial. The normal vector of a curve i...

Stoke's and Path independence.by LearnOnline Through OCW

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Understanding path independence using the Stoke's theorem. In what condition a region is said to be simply connected. is defined with example of curv...

Definition and geometrical view of vectorsby LearnOnline Through OCW

168 Views

Vector is defined. Geometrical view of vector is shown and analysed. Scaling, adding and subtracting of vectors is discussed. in this video lecture. ...