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

7022 Views Real numbers, Set theory, Interval, Inequlities, Oder properties of real numbers.
2363 Views Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.
2288 Views Graphs in coordinate plane, Intercepts, Symmetry.
1298 Views Slop of line (steepness), Angel of inclination.
1331 Views Distance formula, Pythagors theorem, Midpoint formula, Circle, Center and Radius of Circle, Quadratic equation.
1331 Views What is function, Notation of function, Domain of function, Rang of function.
1340 Views Opration of function, Function can be added, subtracted, multiplied, divided, and composed with each other.
1053 Views Repersent function by graphs, Visualize behaviour of function, Use of graphs.
1221 Views Limits (Intuitive Introduction).
1133 Views Limits and Computational Approach, Algebric techniques, Use limits of basic function to comlicated function.
1133 Views Formal definition of limit, Left-hand and Right-hand limits.
1293 Views Mathematical definition of Continuity of function, Properties of continuous function, Continuity of polynomials, Rational and Composite funcions, Intermediate value theorem.
1534 Views Continuity of sine, cosine and other trigonometric function, Squeeze theorem, Limit of sine and cosine.
1201 Views Tangent lines and Rates of change, Slope of Tangent lines.
1286 Views Definition of Derivative, Existence of derivative, Relationship between differentiability and Continuity, derivative at the endpoint of the interval.
1175 Views Techniques of Differentiation,Derivatives of special, Constant, power, And constant multipal functions.
1146 Views Derivatives of f(x)=sin(x), cos(x), tan(x), sec(x), cosec(x), cot(x) and other function made by these funcion.
1288 Views Chain rule, Generalized derivatives formula, Alternative approach to using chai rule.
1057 Views Implicit differentiation, Derivatives of rational power of x, Differentiability of implicit function.
1401 Views Derivatives of Logarithmic, Exponential and Invers functions.
1105 Views Applications of differentiation, Related rates, Increasing, Decreasing And Concavity of functions.
1469 Views Relative maxima and minima, Critical points, First and Second derivative test, Graphs of polynomials and Rational functions.
1565 Views Maximum and Minimum values of functions.
1249 Views Newton’s method, Rolle’s theorem and Mean value theorem.
1178 Views Integration, Integration formulas, Indefinite integral, Properties of indefinite integral.
1122 Views Integration by substitution.
1442 Views Definition of Sigma Notation, Index summation, Properties of sigma notation, Summation formulas.
1144 Views Area as limit, Definition of Area, Some technical considerations, Numerical approximation of area.
950 Views Definite integral of Continuous and Discontinuous functions, Properties of definite integral, Inequalities involving definite integral.
887 Views First fundamental theorem of calculus, Relationship between definite and indefinite integrals, Mean value theorem itegration, Average value of function.
1025 Views Evaluating definite integral by substitution, Approximation of Riemann sums.
924 Views Dummy variable, definite integrals with vriable upper limit, Second fundamental theorem of calculus, Existence of antiderivatives for continuous functions, Functions defind by integral.
973 Views Application of the definite integral.
848 Views Volume by Slicing, Disks and Washers.
1000 Views Cylindrical shell, Volume of a cylindrical shell, Cylindrical shells centered on y-axis, Volume through surface area.
875 Views Length of Plane Curve.
783 Views Definition of Surface Area, Surface area formulas.
863 Views Work done by constant and variable force, Fluid pressure, Pascal's principle.
799 Views Integrals over infinite interval, Integrals whose Integrands become infinite.
1051 Views L’Hopital’s Rule and Indeterminate forms.
987 Views Definition of sequence, Graph of sequences, Limit of sequence, Recursive sequence, Testing for Monotonicity, Eventually monotonic sequences, Convergence of monotonic sequence.
973 Views Infinite Series.
1012 Views  