2269 Views

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

614 Views

Absolute Values, Inequlities involving Absolute Values, Theorem inequlities.

656 Views

Graphs in coordinate plane, Intercepts, Symmetry.

372 Views

Slop of line (steepness), Angel of inclination.

325 Views

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

412 Views

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

308 Views

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

277 Views

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

302 Views

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

276 Views

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

352 Views

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

377 Views

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

266 Views

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

327 Views

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

262 Views

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

203 Views

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

279 Views

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

234 Views

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

221 Views

Derivatives of Logarithmic, Exponential and Invers functions.

224 Views

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

255 Views

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

320 Views

Maximum and Minimum values of functions.

269 Views

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

241 Views

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

297 Views

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

239 Views

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

192 Views

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

188 Views

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

227 Views

Evaluating definite integral by substitution, Approximation of Riemann sums.

163 Views

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

194 Views

Application of the definite integral.

169 Views

Volume by Slicing, Disks and Washers.

176 Views

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

164 Views

Definition of Surface Area, Surface area formulas.

144 Views

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

146 Views

Integrals over infinite interval, Integrals whose Integrands become infinite.

199 Views

L’Hopital’s Rule and Indeterminate forms.

200 Views

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

225 Views

Alternating Series, Conditional convergence.