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 Curriculum and Textbook Board
Class 11 Maths Notes Punjab Board
All 14 chapters of the PCTB 2025 Class 11 Mathematics book — theory, solved examples, step-by-step exercise solutions, MCQs and formula sheets. Free for every Punjab BISE student.
All 14 chapters
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 chapterPunjab Board FAQs
Which book do the Punjab Board notes follow?
The PCTB 2025 Class 11 Mathematics book, used by all nine Punjab BISE boards: Lahore, Gujranwala, Rawalpindi, Faisalabad, Multan, Sahiwal, Sargodha, Bahawalpur and D.G. Khan.
How is the 1st year maths paper structured?
The paper is 100 marks in 3 hours: 20 marks of objective MCQs, 50 marks of short questions and 30 marks of long questions. The passing threshold is 40%.
Which chapters carry the most marks?
Sequences and Series (17 marks) is the heaviest, followed by Theory of Quadratic Functions, Matrices and Determinants, Permutations and Combinations, and Limit and Continuity (13 marks each).