Skip to main content
Super TutorResources
Chapter 8 of 12
Revision Notes

Calculus — Revision Notes

CBSE · Class 11 · Applied Mathematics

Calculus revision notes for CBSE Class 11 Applied Mathematics: 4 topics in quick points. Part of the CBSE Class 11 Applied Mathematics syllabus.

30 questions22 flashcards3 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Calculus? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

Key Topics to Revise

1

Functions and Their Properties

  • A function is a relationship between input (independent variable) and output (dependent variable) where each input has exactly one output
  • Functions can be represented by equations, graphs, or tables
  • Domain is the set of all possible input values; Range is the set of all possible output values
2

Types of Functions

  • Polynomial functions: f(x) = a₀xⁿ + a₁xⁿ⁻¹ + ... + aₙ where n is a non-negative integer
  • Rational functions: quotient of two polynomials f(x) = P(x)/Q(x) where Q(x) ≠ 0
  • Exponential functions: f(x) = aˣ where a > 0 and a ≠ 1
3

Limits of Functions

  • Limit describes the behavior of a function as the input approaches a particular value
  • lim(x→a) f(x) = L means f(x) approaches L as x approaches a
  • Left-hand limit: lim(x→a⁻) f(x), Right-hand limit: lim(x→a⁺) f(x)
4

Continuity of Functions

  • A function is continuous at x = a if lim(x→a) f(x) = f(a)
  • Three conditions for continuity: function is defined at a, limit exists at a, limit equals function value
  • Types of discontinuities: removable, jump, and infinite discontinuities

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A function is a mathematical relationshipDomain is the set of allFunctions are classified into various typesThe limit of a function f(x)A function is continuous at point

Frequently Asked Questions

What are the important topics in Calculus for CBSE Class 11 Applied Mathematics?
Key topics in Calculus include Functions and Their Properties, Types of Functions, Limits of Functions, Continuity of Functions. Study these first, then practise questions on each for Class 11 exams.
How should I revise Calculus for Class 11 exams?
Learn the core ideas first, then work through the 30 practice questions on Calculus. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Calculus

All CBSE Class 11 Applied Mathematics Revision Notes

For serious students

Get the full Calculus chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 11 Applied Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free