3240 Views

Real numbers, Set theory, Interval, Inequlities, Oder properties of real numbers.

1158 Views

Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.

4638 Views

Graphs in coordinate plane, Intercepts, Symmetry.

694 Views

Slop of line (steepness), Angel of inclination.

843 Views

Distance formula, Pythagors theorem, Midpoint formula, Circle, Center and Radius of Circle,
Quadratic equation.

662 Views

What is function, Notation of function, Domain of function, Rang of function.

645 Views

Opration of function, Function can be added, subtracted, multiplied, divided, and composed
with each other.

557 Views

Repersent function by graphs, Visualize behaviour of function, Use of graphs.

772 Views

Limits and Computational Approach, Algebric techniques, Use limits of basic function to
comlicated function.

611 Views

Formal definition of limit, Left-hand and Right-hand limits.

524 Views

Mathematical definition of Continuity of function, Properties of continuous function, Continuity of polynomials, Rational and Composite funcions, Intermediate value theorem.

490 Views

Continuity of sine, cosine and other trigonometric function, Squeeze theorem, Limit of sine and cosine.

607 Views

Tangent lines and Rates of change, Slope of Tangent lines.

587 Views

Definition of Derivative, Existence of derivative, Relationship between differentiability and Continuity, derivative at the endpoint of the interval.

494 Views

Techniques of Differentiation,Derivatives of special, Constant, power, And constant multipal
functions.

434 Views

Derivatives of f(x)=sin(x), cos(x), tan(x), sec(x), cosec(x), cot(x) and other function made
by these funcion.

464 Views

Chain rule, Generalized derivatives formula, Alternative approach to using chai rule.

453 Views

Implicit differentiation, Derivatives of rational power of x, Differentiability of implicit function.

521 Views

Derivatives of Logarithmic, Exponential and Invers functions.

596 Views

Applications of differentiation, Related rates, Increasing, Decreasing And Concavity of functions.

586 Views

Relative maxima and minima, Critical points, First and Second derivative test, Graphs of polynomials and Rational functions.

746 Views

Maximum and Minimum values of functions.

492 Views

Newton’s method, Rolle’s theorem and Mean value theorem.

571 Views

Integration, Integration formulas, Indefinite integral, Properties of indefinite integral.

466 Views

Definition of Sigma Notation, Index summation, Properties of sigma notation, Summation
formulas.

385 Views

Area as limit, Definition of Area, Some technical considerations, Numerical approximation of
area.

440 Views

Definite integral of Continuous and Discontinuous functions, Properties of definite integral,
Inequalities involving definite integral.

534 Views

First fundamental theorem of calculus, Relationship between definite and indefinite integrals,
Mean value theorem itegration, Average value of function.

405 Views

Evaluating definite integral by substitution, Approximation of Riemann sums.

449 Views

Dummy variable, definite integrals with vriable upper limit, Second fundamental theorem of calculus, Existence of antiderivatives for continuous functions, Functions defind by integral.

405 Views

Application of the definite integral.

426 Views

Volume by Slicing, Disks and Washers.

383 Views

Cylindrical shell, Volume of a cylindrical shell, Cylindrical shells centered on y-axis, Volume through surface area.

369 Views

Definition of Surface Area, Surface area formulas.

397 Views

Work done by constant and variable force, Fluid pressure, Pascal's principle.

418 Views

Integrals over infinite interval, Integrals whose Integrands become infinite.

483 Views

L’Hopital’s Rule and Indeterminate forms.

409 Views

Definition of sequence, Graph of sequences, Limit of sequence, Recursive sequence, Testing for Monotonicity, Eventually monotonic sequences, Convergence of monotonic sequence.

415 Views

Alternating Series, Conditional convergence.