539 Views

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

209 Views

Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.

184 Views

Graphs in coordinate plane, Intercepts, Symmetry.

125 Views

Slop of line (steepness), Angel of inclination.

97 Views

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

110 Views

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

89 Views

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

97 Views

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

107 Views

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

74 Views

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

88 Views

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

106 Views

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

87 Views

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

83 Views

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

75 Views

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

62 Views

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

78 Views

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

96 Views

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

68 Views

Derivatives of Logarithmic, Exponential and Invers functions.

67 Views

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

91 Views

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

94 Views

Maximum and Minimum values of functions.

79 Views

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

77 Views

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

61 Views

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

69 Views

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

67 Views

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

55 Views

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

67 Views

Evaluating definite integral by substitution, Approximation of Riemann sums.

55 Views

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

50 Views

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

52 Views

Definition of Surface Area, Surface area formulas.

54 Views

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

50 Views

Integrals over infinite interval, Integrals whose Integrands become infinite.

72 Views

L’Hopital’s Rule and Indeterminate forms.

61 Views

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

65 Views

Alternating Series, Conditional convergence.