1779 Views

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

493 Views

Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.

486 Views

Graphs in coordinate plane, Intercepts, Symmetry.

292 Views

Slop of line (steepness), Angel of inclination.

258 Views

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

317 Views

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

252 Views

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

217 Views

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

239 Views

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

213 Views

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

245 Views

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

259 Views

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

204 Views

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

234 Views

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

197 Views

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

150 Views

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

207 Views

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

181 Views

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

166 Views

Derivatives of Logarithmic, Exponential and Invers functions.

171 Views

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

203 Views

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

204 Views

Maximum and Minimum values of functions.

191 Views

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

190 Views

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

217 Views

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

174 Views

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

149 Views

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

139 Views

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

152 Views

Evaluating definite integral by substitution, Approximation of Riemann sums.

127 Views

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

155 Views

Application of the definite integral.

133 Views

Volume by Slicing, Disks and Washers.

136 Views

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

131 Views

Definition of Surface Area, Surface area formulas.

111 Views

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

110 Views

Integrals over infinite interval, Integrals whose Integrands become infinite.

161 Views

L’Hopital’s Rule and Indeterminate forms.

159 Views

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

154 Views

Alternating Series, Conditional convergence.