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Calculus

Our package involves a detailed study of the small building blocks. It would ensure a deep rooted system of learning through understanding of the very basics. Then, we shall move on to the advanced concepts like derivatives and integrals, trigonometric functions and their applications. Learning calculus from our experts would be fun. Tutoring being carried on in a very interacting and interactive manner, clearly explains why a lot many students go for TCYonline.com
The bottom line is if other can, you too!

Tutoring: $18/hour

Module-I	Limits And Continuity Graphical and Numerical interpretation of Limits Convergence and Divergence of a function One-Sided Limits Infinite Limits Limits at infinity Graphical and Numerical interpretation of continuity Intermediate and Extreme Value Theorems	Suggestive Number Of Hours 10 hrs
Module-II	Derivatives The Derivative of the function as slope of the Tangent Line Basic Differentiation Rules and Rates of Change Relation between Differentiability and Continuity The Product and Quotient Rules and Higher-Order Derivatives The Chain Rule Implicit Differentiation Derivates of Higher orders	8 hrs
Module-III	Derivative Applications Rolle's Theorem, the Mean Value Theorem and L’Hopital’s rule Increasing and Decreasing Functions and the First Using derivatives to find graphs of function Identifying Maxima, Minima and Inflection points Newton's Method Optimization in a variety of pure and applied contexts Rate problems	10 hrs
Module-IV	Integration Riemann Sums and Definite Integrals Applying integrals in real life like Physics, Economics etc. The Fundamental Theorem of Calculus Interpret integrals as antiderivatives Application of definite integrals in Area, Velocity, Acceleration, Volume, Work and length of curve Integration by parts Trigonometric substitution	12 hrs
Module-V	Trigonometric Functions Properties of inverse trigonometric functions Expressing them as indefinite integrals Integrals of trigonometric functions	3 hrs
Module-VI	Applications Simpson’s rule and Newton’s method Improper integrals as limits of definite integrals Convergence and Divergence of series Computing the radius of the convergence of power series Taylor polynomials and Taylor series of basic functions Growth and Decay problems.	10 hrs

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