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12th Grade Math :
Calculus
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Our 12th Calculus Grade Online Tutoring program is designed to help you get the desired grade by mastering the subject.
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This is a representative list of topics covered in our Grade 12 Math  Calculus program. However all our programs will be customized for the individual student.

Limits operations on functions

Limits of sums

Limits of products

Limits of quotients

Limits of composition of functions

Continuity of a function

Intermediate value, extreme value theorem

Intermediate value theorem

Extreme value theorem

Derivatives, differentiability

Derivative of a function at a point

Differentiability

Derivatives of higher orders

Derivatives of functions

Derivatives of algebraic functions

Derivatives of trigonometric functions

Derivatives of inverse trigonometric functions

Derivatives of exponential functions

Derivatives of logarithmic functions

Chain rule

Rolle

Mean value theorem

Maxima, minima, inflection points, intervals

Maxima

Minima

Inflection points

Intervals

Newton's method (approximating the zeros of a function)

Differentiation to solve problems

Differentiation to solve optimization problems

Differentiation to solve rate problems

Definite/indefinite integrals

Definite integrals

Indefinite integrals

Riemann sums

Fundamental theorem of calculus

Definite integrals problems

Definite integrals in problems involving area

Definite integrals in problems involving velocity

Definite integrals in problems involving acceleration

Definite integrals in problems involving volume of a solid

Definite integrals in problems involving area of a surface of revolution

Definite integrals in problems involving length of a curve

Definite integrals in problems involving work

Techniques of integration

Techniques of integration – substitution

Techniques of integration  integration by parts

Techniques of integration  trigonometric substitution

Inverse trigonometric functions

Integrals of functions

Integrals of rational functions

Integrals of trigonometric functions

Simpson's rule, Newton's method

Simpson's rule

Newton's method

Improper integrals (limits of definite integrals)

Tests for convergence/divergence of sequences/series

Convergence and divergence of sequences of real numbers

Convergence and divergence of series of real numbers

Comparison test

Ratio test

Alternate series test

Power series, Taylor series/polynomials

Power series

Taylor series

Taylor polynomials

Elementary differential equations

Solutions of selected elementary differential equations

Applications of elementary differential equations  growthanddecay problems
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