Chapter 1 · 7 marks
Complex Numbers
Complex numbers from the ground up: modulus, conjugate and argument, operations, polar form and De Moivre's theorem, with fully worked solutions.
Open chapterPunjab Board · PCTB 2025
Class 11 Maths Notes
Free, step-by-step solved mathematics notes for Punjab Board Class 11 — all 14 chapters with theory, worked examples, complete exercise solutions, MCQs and formula sheets.
All chapters
Punjab Board Class 11 Mathematics — 14 chapters
Every chapter: theory, solved examples, exercise solutions, MCQs and a formula sheet.
Chapter 2 · 7 marks
Functions and Graphs
Functions and graphs: domain and range, inverse functions and graph transformations, explained with worked examples.
Open chapterChapter 3 · 13 marks
Theory of Quadratic Functions
Quadratic functions: roots, discriminant, vertex and axis of symmetry, with graph-based reasoning fully worked.
Open chapterChapter 4 · 13 marks
Matrices and Determinants
Matrices and determinants: operations, inverses, Cramer's rule and solving linear systems step by step.
Open chapterChapter 5 · 5 marks
Partial Fractions
Partial fractions: templates for every denominator type so the method stays consistent and fast.
Open chapterChapter 6 · 17 marks
Sequences and Series
Sequences and series: AP, GP, HP, means and sigma-notation sums — the highest-weightage chapter, fully solved.
Open chapterChapter 7 · 13 marks
Permutations and Combinations
Permutations and combinations: counting laws applied step by step so you always pick the right formula first.
Open chapterChapter 8 · 11 marks
Mathematical Induction and Binomial Theorem
Mathematical induction proofs with strict structure, plus binomial expansion: general term, middle term and approximations.
Open chapterChapter 9 · 12 marks
Division of Polynomials
Division of polynomials: long division, remainder and factor theorems with explicit algebraic working.
Open chapterChapter 10 · 12 marks
Trigonometric Identities
Trigonometric identities: the standard LHS-to-RHS proof strategy for every identity family, fully worked.
Open chapterChapter 11 · 3 marks
Trigonometric Functions and their Graphs
Trigonometric functions and their graphs: period, amplitude, domain and range with step-by-step sketches.
Open chapterChapter 12 · 13 marks
Limit and Continuity
Limit and continuity: one-sided limits and the standard algebraic techniques, explained clearly.
Open chapterChapter 13 · 8 marks
Differentiation
Differentiation: first principles, all the rules, the chain rule and applications with careful working.
Open chapterChapter 14 · 5 marks
Vectors in Space
Vectors in space: dot and cross products, lines and planes in 3D with geometric meaning made clear.
Open chapterExam resources
Prepare for the board paper
Pairing Scheme
Chapter-wise marks distribution for the 1st year maths paper.
Open →Guess Paper
Important short and long questions, chapter by chapter.
Open →Past Papers
Previous years\u{2019} 1st year mathematics papers.
Open →Date Sheet & Syllabus
Exam schedule and the PCTB syllabus outline.
Open →Why these notes work
Class 11 is the year mathematics stops being about copying a method and starts being about understanding why the method works. Most free notes publish a final answer and leave the reasoning out — which falls apart the moment a question is worded slightly differently.
These notes do the opposite. Every solution shows each step and names the formula, identity or theorem used at the point it is applied — the habit that earns method marks in the exam hall. Everything follows the PCTB 2025 book chapter order, so nothing is out of place when you revise.
Frequently asked questions
Are these Class 11 maths notes really free?
Yes. Every chapter, exercise solution and formula sheet on this site is free to read in the browser. No sign-up, no paywall.
Which book do these notes follow?
The Punjab Curriculum and Textbook Board (PCTB) 2025 Class 11 Mathematics book — the same book used by BISE Lahore, Gujranwala, Rawalpindi, Faisalabad, Multan, Sahiwal, Sargodha, Bahawalpur and D.G. Khan.
How many chapters are covered?
All 14 chapters: Complex Numbers, Functions and Graphs, Theory of Quadratic Functions, Matrices and Determinants, Partial Fractions, Sequences and Series, Permutations and Combinations, Mathematical Induction and Binomial Theorem, Division of Polynomials, Trigonometric Identities, Trigonometric Functions and their Graphs, Limit and Continuity, Differentiation, and Vectors in Space.
What does each chapter include?
Theory and definitions, solved textbook examples, complete step-by-step exercise solutions, MCQs with answers, and a one-page formula sheet.
How should I use the exercise solutions?
Attempt each question yourself first, then compare your working with the published solution. Every solution names the formula or identity used at each step, so you learn the method — not just the answer.
Is there a pairing scheme and guess paper?
Yes. The pairing scheme, guess paper, past papers, date sheet and syllabus pages are linked below — use them after your concepts are clear.