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Mathematics · Category

Calculus and Numerical Methods

Limits, differentiation, integration, differential equations and numerical methods.

9 chapters

Chapter 30
Functions and Limits
Review of Functions · Limit of a Function · Theorems on Limits · Important Limits …
5 topics
Class 12A Level
Chapter 31
Differentiation
Derivative from First Principles · Power Rule · Product and Quotient Rules · Chain Rule …
8 topics
Class 12A Level
Chapter 32
Applications of Differentiation
Tangents and Normals · Rates of Change · Increasing and Decreasing Functions · Maxima and Minima …
6 topics
Class 12A Level
Chapter 33
Differentiation of Vector Functions
Vector Functions · Derivative of a Vector Function · Velocity and Acceleration Vectors
3 topics
Class 12
Chapter 34
Integration
Integration as Anti-differentiation · Standard Integrals · Integration by Substitution · Integration by Parts …
9 topics
Class 12A Level
Chapter 35
Differential Equations
Order and Degree · Separation of Variables · Growth and Decay Models · Applications of Differential Equations
4 topics
Class 12A Level
Chapter 36
Partial Differentiation
Functions of Two Variables · Partial Derivatives · Applications of Partial Derivatives
3 topics
Class 12
Chapter 37
Numerical Methods
Locating Roots by Change of Sign · Iteration · Bisection Method · Newton–Raphson Method …
6 topics
Class 12A Level
Chapter 38
Introduction to MAPLE
What is MAPLE? · Basic Commands · Plotting Graphs · Solving Equations …
5 topics
Class 12