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

7309 Views Real numbers, Set theory, Interval, Inequlities, Oder properties of real numbers.
2574 Views Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.
3032 Views Graphs in coordinate plane, Intercepts, Symmetry.
1444 Views Slop of line (steepness), Angel of inclination.
1547 Views Distance formula, Pythagors theorem, Midpoint formula, Circle, Center and Radius of Circle, Quadratic equation.
1519 Views What is function, Notation of function, Domain of function, Rang of function.
1512 Views Opration of function, Function can be added, subtracted, multiplied, divided, and composed with each other.
1214 Views Repersent function by graphs, Visualize behaviour of function, Use of graphs.
1422 Views Limits (Intuitive Introduction).
1283 Views Limits and Computational Approach, Algebric techniques, Use limits of basic function to comlicated function.
1332 Views Formal definition of limit, Left-hand and Right-hand limits.
1452 Views Mathematical definition of Continuity of function, Properties of continuous function, Continuity of polynomials, Rational and Composite funcions, Intermediate value theorem.
1999 Views Continuity of sine, cosine and other trigonometric function, Squeeze theorem, Limit of sine and cosine.
1345 Views Tangent lines and Rates of change, Slope of Tangent lines.
1427 Views Definition of Derivative, Existence of derivative, Relationship between differentiability and Continuity, derivative at the endpoint of the interval.
1390 Views Techniques of Differentiation,Derivatives of special, Constant, power, And constant multipal functions.
1296 Views Derivatives of f(x)=sin(x), cos(x), tan(x), sec(x), cosec(x), cot(x) and other function made by these funcion.
1431 Views Chain rule, Generalized derivatives formula, Alternative approach to using chai rule.
1478 Views Implicit differentiation, Derivatives of rational power of x, Differentiability of implicit function.
2104 Views Derivatives of Logarithmic, Exponential and Invers functions.
1241 Views Applications of differentiation, Related rates, Increasing, Decreasing And Concavity of functions.
1625 Views Relative maxima and minima, Critical points, First and Second derivative test, Graphs of polynomials and Rational functions.
1846 Views Maximum and Minimum values of functions.
1400 Views Newton’s method, Rolle’s theorem and Mean value theorem.
1329 Views Integration, Integration formulas, Indefinite integral, Properties of indefinite integral.
1263 Views Integration by substitution.
1998 Views Definition of Sigma Notation, Index summation, Properties of sigma notation, Summation formulas.
1334 Views Area as limit, Definition of Area, Some technical considerations, Numerical approximation of area.
1100 Views Definite integral of Continuous and Discontinuous functions, Properties of definite integral, Inequalities involving definite integral.
1048 Views First fundamental theorem of calculus, Relationship between definite and indefinite integrals, Mean value theorem itegration, Average value of function.
1171 Views Evaluating definite integral by substitution, Approximation of Riemann sums.
1066 Views Dummy variable, definite integrals with vriable upper limit, Second fundamental theorem of calculus, Existence of antiderivatives for continuous functions, Functions defind by integral.
1194 Views Application of the definite integral.
993 Views Volume by Slicing, Disks and Washers.
1225 Views Cylindrical shell, Volume of a cylindrical shell, Cylindrical shells centered on y-axis, Volume through surface area.
1050 Views Length of Plane Curve.
941 Views Definition of Surface Area, Surface area formulas.
1036 Views Work done by constant and variable force, Fluid pressure, Pascal's principle.
1001 Views Integrals over infinite interval, Integrals whose Integrands become infinite.
1204 Views L’Hopital’s Rule and Indeterminate forms.
1174 Views Definition of sequence, Graph of sequences, Limit of sequence, Recursive sequence, Testing for Monotonicity, Eventually monotonic sequences, Convergence of monotonic sequence.
1147 Views Infinite Series.
1153 Views  