No products in the cart.

# Taylor and Maclaurin Series

149.00

This module incepts with the engineering relevance of Taylor series. The idea of Taylor series and graphical decoding have been deliberated at length. Significant number of model questions paper problems have been solved using unobvious methods such as integration, differentiation and nature of the function (odd or even) to give a comprehensive understanding of the examiner’s perspective.

Salient features of this module are:

• Pre-requisites to Elements of Differential Calculus
• Graphical visualization
• Concept testing
• Unravelling examiners mind
• Model question paper

Course Contents:

Pre-requisites to Taylor and Maclaurin Series

• Sign of Trigonometric Identities
• Sign of Trigonometric Identities – Introduction
• Sign of Trigonometric Identities – Quad I
• Sign of Trigonometric Identities – Quad II
• Sign of Trigonometric Identities – Quad III
• Sign of Trigonometric Identities – Quad IV
• Sign of Trigonometric Identities – Summary
• Sign of Trigonometric Identities – 1
• Sign of Trigonometric Identities – 2
• General solution for Trigonometric  ratios
• General solution for Trigonometric ratios (Example 1)
• General solution for Trigonometric ratios (Example 2)
• General solution for Trigonometric ratios (Example 3)
• General solution for Trigonometric ratios (Example 4)
• Concept of derivate – Slope
• Concept of Derivative – Slope – Straight line
• Concept of Derivative – Slope – Curve
• Differentiation of Basic functions
• Introduction – Chain and Quotient Rules
• Derivative of tan x
• Derivative of sec x
• Derivative of cosec x
• Derivative of cot x
• Derivative of [y = e^x * x^n]
• Derivative of [y = tan^(-1) x
• Derivative of [y = x/(ax+b)] – Quotient rule
• Derivative of [y = x/(ax+b)] – Chain rule
• Derivative of [x^2 + y^2 = k]
• Derivative of [y = 1/sqrt(ax^2 +b)]
• Derivative of [y = a^x (log (1+x^2))]
• Derivative of [y = a^sinx (1+sin^2 (x)) sec x]
• Graphical understanding of trigonometric derivatives
• Application of Derivative
• Finding nature of the curve
• Interpreting curvature of a curve
• Linearization of a curve
• L-Hospital Rule
• Use of second derivative (curvature)
• Maxima & Minima – 1
• Maxima & Minima – 2
• Angle between Curves & Radius of curvature
• Essential trigonometric identities 1
• Essential trigonometric identities 2
• Essential trigonometric identities 3
• Essential trigonometric identities 4
• Essential trigonometric identities 5

Taylor and Maclaurin Series:

• Taylor Series – Introduction
• Introduction
• Taylor Series – (Graphical Understanding)
• Graphical Understanding – sin x
• Graphical Understanding – cos x
• Decoding the Maclaurin Series
• Decoding the Maclaurin Series
• Taylor  Series – (Idea of Taylor Series)
• Idea of  Taylor Series
• Expanding functions using Maclaurin Series
• Function – 1
• Function – 2
• Function – 3
• Function – 3 (Alternate Method)
• Function – 4
• Function – 5
• Taylor  & Maclaurin Series – Problem
• Problem 1 – Taylor Series
• Problem 2 – Taylor Series
• Problem 2 – Maclaurin Series
• Problem 3
• Problem 4
• Problem 4 (Alternate Method)
• Problem 5
• Problem 6
• Problem 6 (Observation)
• Problem 7
• Problem 8
• Problem 9
• Unravelling the Enginer’s Mind

## Reviews

There are no reviews yet.

This will close in 20 seconds