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.
Key Topics to Revise
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
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
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)
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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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?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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