## Calculus And Analytical Geometry - MTH101 - VU Video Lectures

4455 Views
Real numbers, Set theory, Interval, Inequlities, Oder properties of real numbers.
1033 Views
Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.
1249 Views
Graphs in coordinate plane, Intercepts, Symmetry.
661 Views
Slop of line (steepness), Angel of inclination.
599 Views
Distance formula, Pythagors theorem, Midpoint formula, Circle, Center and Radius of Circle, Quadratic equation.
642 Views
What is function, Notation of function, Domain of function, Rang of function.
612 Views
Opration of function, Function can be added, subtracted, multiplied, divided, and composed with each other.
471 Views
Repersent function by graphs, Visualize behaviour of function, Use of graphs.
558 Views
Limits (Intuitive Introduction).
505 Views
Limits and Computational Approach, Algebric techniques, Use limits of basic function to comlicated function.
491 Views
Formal definition of limit, Left-hand and Right-hand limits.
604 Views
Mathematical definition of Continuity of function, Properties of continuous function, Continuity of polynomials, Rational and Composite funcions, Intermediate value theorem.
677 Views
Continuity of sine, cosine and other trigonometric function, Squeeze theorem, Limit of sine and cosine.
464 Views
Tangent lines and Rates of change, Slope of Tangent lines.
529 Views
Definition of Derivative, Existence of derivative, Relationship between differentiability and Continuity, derivative at the endpoint of the interval.
474 Views
Techniques of Differentiation,Derivatives of special, Constant, power, And constant multipal functions.
362 Views
Derivatives of f(x)=sin(x), cos(x), tan(x), sec(x), cosec(x), cot(x) and other function made by these funcion.
569 Views
Chain rule, Generalized derivatives formula, Alternative approach to using chai rule.
390 Views
Implicit differentiation, Derivatives of rational power of x, Differentiability of implicit function.
410 Views
Derivatives of Logarithmic, Exponential and Invers functions.
419 Views
Applications of differentiation, Related rates, Increasing, Decreasing And Concavity of functions.
444 Views
Relative maxima and minima, Critical points, First and Second derivative test, Graphs of polynomials and Rational functions.
613 Views
Maximum and Minimum values of functions.
485 Views
Newton’s method, Rolle’s theorem and Mean value theorem.
511 Views
Integration, Integration formulas, Indefinite integral, Properties of indefinite integral.
422 Views
Integration by substitution.
539 Views
Definition of Sigma Notation, Index summation, Properties of sigma notation, Summation formulas.
479 Views
Area as limit, Definition of Area, Some technical considerations, Numerical approximation of area.
363 Views
Definite integral of Continuous and Discontinuous functions, Properties of definite integral, Inequalities involving definite integral.
329 Views
First fundamental theorem of calculus, Relationship between definite and indefinite integrals, Mean value theorem itegration, Average value of function.
383 Views
Evaluating definite integral by substitution, Approximation of Riemann sums.
331 Views
Dummy variable, definite integrals with vriable upper limit, Second fundamental theorem of calculus, Existence of antiderivatives for continuous functions, Functions defind by integral.
379 Views
Application of the definite integral.
337 Views
Volume by Slicing, Disks and Washers.
349 Views
Cylindrical shell, Volume of a cylindrical shell, Cylindrical shells centered on y-axis, Volume through surface area.
328 Views
Length of Plane Curve.
319 Views
Definition of Surface Area, Surface area formulas.
321 Views
Work done by constant and variable force, Fluid pressure, Pascal's principle.
295 Views
Integrals over infinite interval, Integrals whose Integrands become infinite.
439 Views
L’Hopital’s Rule and Indeterminate forms.
375 Views
Definition of sequence, Graph of sequences, Limit of sequence, Recursive sequence, Testing for Monotonicity, Eventually monotonic sequences, Convergence of monotonic sequence.
404 Views
Infinite Series.
433 Views