M1 with Pre-requisites

Deriving Radius of Curvature
11 Topics
Cartesian form
Cartesian Form – Memory Structure
Pedal and Polar form – Holistic Understanding
Pedal form – Derivation
Pedal form – Memory Structure
Polar form – Derivation
Polar form – Memory Structure
Parametric form – Holistic Understanding
Parametric form – Derivation
Parametric form – Physical Basis
Parametric form – Memory Structure
Radius of Curvature – Solved Problems
13 Topics
Problem 1 – Cartesian Approach
Problem 1 – Parametric Approach
Problem 1 – Summary
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Formulae Summary
Unravelling the Examiner’s Mind
Holistic Summary – Part 1
1 Topic
Angle between curves: (Formula & Procedure)
Holistic Summary – Part 2
16 Topics
Angle between curves: (Memory Structure)
Angle between curves: (Obvious & Unobvious Facts)
Angle between curves: (Engineering Facts)
Pedal Equation: (Formula & Procedure)
Pedal Equation: (Memory Strucutre)
Pedal Equation: (Obvious & Unobvious Facts)
Pedal Equation: (Engineering Facts)
Radius of Curvature: (Formula & Procedure)
Radius of Curvature: (Memory Structure – Cartesian Form)
Radius of Curvature: (Memory Structure – Parametric Form)
Radius of Curvature: (Memory Structure – Pedal Form)
Radius of Curvature: (Memory Structure – Polar Form)
Radius of Curvature: (Forms of Radius of Curvature)
Radius of Curvature: (Important curves)
Radius of Curvature: (Obvious & Unobvious Facts)
Radius of Curvature: (Engineering Facts)
Concept Check
1 Quiz
Module-1: Differential Calculus – 1 (Quiz Questions)
Module-2: Differential Calculus - 2
Taylor Series – Introduction
1 Topic
Introduction
Taylor Series – (Graphical Understanding)
2 Topics
Graphical Understanding – sin x
Graphical Understanding – cos x
Decoding the Maclaurin and Taylor Series
1 Topic
Decoding the Maclaurin and Taylor Series
Taylor Series – (Idea of Taylor Series)
1 Topic
Idea of Taylor Series
Expanding functions using Maclaurin Series
6 Topics
Function – 1
Function – 2
Function – 3
Function – 3 (Alternate Method)
Function – 4
Function – 5
Taylor & Maclaurin Series – Problems
13 Topics
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 – Observations
Problem 7
Problem 8
Problem 9
Unravelling the Examiner’s Mind
Introduction to Partial Differentiation
1 Topic
Introduction to Partial Differentiation
Concept of Total Differential
1 Topic
Concept of Total Differential
Physical meaning of product of Derivatives
1 Topic
Physical meaning of product of Derivatives
Concept of Total Derivative: Engineering Relevance
1 Topic
Concept of Total Derivative: Engineering Relevance
Partial Differentiation – Problems
6 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Total Derivatives – Problems
5 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Unravelling the Examiner’s Mind
Indeterminate Forms – (Understanding L-Hospital Rule)
1 Topic
Understanding L-Hospital Rule
Indeterminate form – Problems
10 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 5 (Alternate Method)
Problem 6
Problem 7
Problem 8
Unravelling the Examiner’s Mind
Jacobian – Purpose definition
1 Topic
Purpose Definition
2 of 6
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Angle between curves: (Formula & Procedure)

M1 with Pre-requisites Holistic Summary – Part 1 Angle between curves: (Formula & Procedure)
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