Class 11 Applied Mathematics Chapter 3 Handwritten Notes

The handwritten notes on Class 11 Applied Mathematics Chapter 3 Set have been carefully prepared for quick revision, according to the latest 2026-27 CBSE syllabus. The PDF covers set notation, roster form, set-builder form, subsets, power set, intervals, Venn diagrams and counting formulas.

• Best for one-shot revision: all key Set definitions and symbols are grouped in one PDF.
• Aligned to 2026-27: follows the current Class 11 Applied Mathematics Unit 2 scope.
• Practice ready: counting formulas, Venn diagrams and interval notation are placed close to examples.

Set Handwritten Notes: What the PDF Covers

Set builds the language used later in relations, probability and data handling. The chapter starts with a well-defined collection, then moves to notation, representation, types of sets, subset rules and operations.

Set Quick Revision Video for Class 11

Source: Magnet Brains on YouTube

Roster Form and Set-Builder Form in Set

Roster form lists the members inside braces. For example, the set of even natural numbers less than 10 is {2, 4, 6, 8}. Order and repetition do not change a set, so {1, 2, 3} and {3, 2, 1} are equal.

Set-builder form writes the rule instead of the full list. For example, {x : x is an even natural number less than 10}. Use set-builder form when the list is long or infinite.

• Check whether every listed element follows the rule.
• Remove repeated elements before counting cardinality.
• Use clear conditions such as x in N, x in Z or x in R.

Types of Sets, Subsets and Power Set

The notes separate empty, singleton, finite, infinite, equal and equivalent sets. Equal sets have the same elements. Equivalent sets have the same number of elements, even when the elements are different.

A set A is a subset of B when every element of A is also in B. The empty set is a subset of every set. The power set of A contains all subsets of A, and a finite set with n elements has 2 to the power n subsets.

• {a, b, c} and {4, 5, 6} are equivalent, not equal.
• If A = {1, 2}, then P(A) has 4 subsets.
• Do not confuse 4, {4} and {{4}} in subset questions.

Intervals and Venn Diagrams in Set

Intervals are subsets of real numbers. Square brackets include endpoints, while round brackets exclude endpoints. For example, [a, b) means a is included and b is excluded. Infinity always takes a round bracket.

Venn diagrams show set regions inside a universal rectangle. The middle region shows common elements. The outside region inside U shows elements in neither set. A complement always depends on the universal set.

Counting Formulas for Set Questions

Counting questions are survey-style questions. Start by writing the overlap first. Then fill only-A, only-B and neither. This order prevents double-counting.

The two-set formula is n(A union B) = n(A) + n(B) - n(A intersection B). For three sets, subtract all pairwise intersections and add the triple intersection once.

• Use n(U) when the question asks for neither.
• Pair overlaps in three-set questions usually include the centre.
• Draw a Venn diagram before substituting numbers.

How to Revise Set Before Tests

Use the Set handwritten notes in two passes. First, revise definitions and symbols. Second, solve one example each on roster form, subset checks, interval notation, two-set counting and Venn diagrams.

• Copy the symbol table on one page.
• Practise one roster-to-set-builder conversion.
• List all subsets of a 3-element set once.
• Finish with one two-set survey question.

Related Resources for Set

Applied Mathematics Handwritten Notes for All Chapters