Calculus (original) (raw)
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Last Updated : 12 Jun, 2026
Calculus, developed by Newton and Leibniz, is the branch of mathematics that helps us study how quantities change and how they accumulate. It allows us to understand motion, growth rates and areas under curves.
Calculus has two main parts:
- Differential Calculus: study of derivatives and rates of change
- Integral Calculus: study of accumulation, areas and total values
Calculus 1: Limits, Continuity, and Differentiation
Build a strong foundation in limits, derivatives and the fundamental concepts of calculus.
Limits and Continuity
- Graphs and Limits
- Definition of a Limit
- One-Sided Limits
- Limit Laws
- Limits of Piecewise Functions
- Squeeze Theorem
- Limits and Continuity
- Limits at Infinity
- Intermediate Value Theorem
Derivatives Basics
- Average Rate of Change
- Limit Definition of Derivative
- Tangent Line Equations
- Differentiability
- Power Rule
- Product Rule
- Quotient Rule
Special Derivatives
- Derivatives of Trigonometric Functions
- Chain Rule
- Derivatives of Exponential Functions
- Derivatives of Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Inverse Trigonometric Functions
Applications of Derivatives
- Maxima and Minima
- First & Second Derivative Tests
- Extreme Value Examples
- Mean Value Theorem (and Proof)
- Concavity
- Curve Sketching
- Higher Order Derivatives
- Linear Approximation and Differentials
- L'Hôpital's Rule
- Indeterminate forms
- Newton's Method
- Real-Life Applications
Introduction to Integration
Calculus II: Integration, Series, and Advanced Topics
Explore advanced integration techniques, infinite series and multivariable concepts.
Integration Techniques
- Substitution
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitution
- Partial Fractions
- Improper Integrals
Applications of Integration
Sequences and Series
Advanced Calculus Topics
Practice for Calculus
Strengthen your understanding of calculus concepts through quizzes and practice problems.
- Limits Quiz
- Continuity of Function Quiz
- Maxima and Minima Quiz
- Integration Quiz
- Practice Questions on Calculus
Programs for Calculus
Apply calculus concepts using programming tools such as Python and MATLAB.
- Calculus with Python
- Program to Differentiate Given Polynomial
- Program to Calculate Double Integration
- Calculus in MATLAB
Explore
Basic Arithmetic
- Numbers in Maths2 min read
- Arithmetic Operations8 min read
- Fractions in Maths3 min read
- Decimals in Maths8 min read
- Exponents7 min read
- Percentage4 min read
Algebra
- Variable in Maths4 min read
- Polynomials2 min read
- Coefficient5 min read
- Algebraic Identities14 min read
- Properties of Algebraic Operations1 min read
Geometry
- Lines and Angles2 min read
- Geometric Shapes in Maths2 min read
- Area and Perimeter2 min read
- Surface Areas and Volumes1 min read
- Points, Lines and Planes11 min read
- Coordinate Axes and Coordinate Planes in 3D space6 min read
Calculus
- Introduction to Differential Calculus3 min read
- Limits in Calculus11 min read
- Continuity of Functions8 min read
- Differentiation2 min read
- Differentiability of Functions10 min read
- Integration2 min read
Probability and Statistics
- Basic Concepts of Probability6 min read
- Bayes' Theorem13 min read
- Probability Distribution1 min read
- Descriptive Statistic for Data Science5 min read
- Introduction to Inferential Statistics5 min read
- Measures of Central Tendency in Statistics8 min read
- Set Theory2 min read
Practice
- NCERT Solutions for Class 8 to 127 min read
- RD Sharma Class 8 Solutions for Maths: Chapter Wise PDF5 min read
- RD Sharma Class 9 Solutions10 min read
- RD Sharma Class 10 Solutions9 min read
- RD Sharma Class 11 Solutions for Maths13 min read
- RD Sharma Class 12 Solutions for Maths13 min read
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