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Calculus

CBSE · Class 11 · Applied Mathematics

Quick revision notes for Calculus — CBSE Class 11 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

30 questions22 flashcards5 concepts

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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

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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?
Calculus covers several key topics that are frequently asked in CBSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Calculus — CBSE Class 11 Applied Mathematics?
Understand the core concepts first, then work through the 30 practice questions available for this chapter. Revise formulas and 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.

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All 12 chapters — CBSE Class 11 Applied Mathematics Revision Notes

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