Mathematics 1st Year ICS book for Part 1 (Class 11) is published by the Punjab Education, Curriculum, Training and Assessment Authority (PECTAA). The latest 2025–26 edition is based on the Updated/Revised National Curriculum of Pakistan 2023. It covers fourteen units from Complex Numbers and Functions to Differentiation and Vectors in Space.
For ICS Part 1 students, Mathematics is the most important subject in the programme. Each unit builds on earlier concepts with clear theory, worked examples, and graded exercises. The PDF lets students revise formulas, practice numerical problems, and go over difficult topics at any time before the final board exam.
Book Overview
- Class: 11 (ICS Part 1 / First Year)
- Subject: Mathematics
- Category: ICS
- Board: Punjab Board (PECTAA, Lahore)
- Curriculum: NCP 2023 (Updated/Revised)
- Total Chapters: 14
- Format: PDF
Chapter List
Unit 1 – Complex Numbers
Introduces complex numbers, their representation, algebraic operations, modulus, argument, and polar form. Includes De Moivre’s theorem and its applications.
Unit 2 – Functions and Graphs
Covers types of functions, domain and range, composition and inverse of functions, and graphing techniques for various function types.
Unit 3 – Theory of Quadratic Functions
Deals with the nature of roots using the discriminant, sum and product of roots, and forming quadratic equations. Includes quadratic inequalities.
Unit 4 – Matrices and Determinants
Covers matrix types, operations, determinants, inverse of a matrix, and solving systems of linear equations using matrices and Cramer’s rule.
Unit 5 – Partial Fractions
Explains resolving rational expressions into partial fractions. Covers all four standard cases with step-by-step worked examples.
Unit 6 – Sequences and Series
Covers arithmetic and geometric sequences and series, sum formulas, arithmetic and geometric means, and infinite geometric series.
Unit 7 – Permutations and Combinations
Explains counting principles, factorial notation, permutations (with and without repetition), combinations, and their applications in probability.
Unit 8 – Mathematical Inductions and Binomial Theorem
Covers the principle of mathematical induction and the Binomial Theorem for positive and negative/fractional exponents with applications.
Unit 9 – Division of Polynomials
Explains long division and synthetic division of polynomials. Covers the remainder theorem, factor theorem, and finding roots of polynomial equations.
Unit 10 – Trigonometric Identities
Covers fundamental trigonometric identities, sum and difference formulas, double and half angle formulas, and proving trigonometric identities.
Unit 11 – Trigonometric Functions and their Graphs
Explains trigonometric functions of any angle, their domains, ranges, and graphs. Covers inverse trigonometric functions and solving trigonometric equations.
Unit 12 – Limit and Continuity
Introduces the concept of limits, limit laws, one-sided limits, and continuity of functions. Lays the foundation for calculus in later units.
Unit 13 – Differentiation
Covers rules of differentiation (power, product, quotient, chain rule), derivatives of trigonometric functions, and applications including rate of change and tangents.
Unit 14 – Vectors in Space
Introduces vectors in 2D and 3D, vector addition, scalar and vector products, and applications in geometry and physics problems.
Download Mathematics Class 11 ICS Book PDF
Two editions are available below. Click the button for the edition you need — each opens in a new tab and is ready to read or save on any device.
2025–26 Edition (NCP 2023 — PECTAA)
⬇ Download PDF (2025–26)E-Learn Punjab Edition
⬇ Download PDF (E-Learn Punjab)Who Should Read This
This book is for ICS Part 1 (First Year) students preparing for the Punjab Board annual exam. Mathematics is the core subject of ICS, and this book covers all topics required for the board paper. It is also useful for students planning for ECAT and other entry tests, as topics like complex numbers, matrices, sequences, and calculus are directly tested.
Applicable Boards
This textbook is published by PECTAA and is used in Punjab Board colleges. Students from the Federal Board (FBISE) and AJK Board can also use it for reference, as the ICS Mathematics syllabus is very similar across these boards. Students from Sindh and KPK boards will also find most units relevant.
FAQs
Is this the latest Mathematics book for ICS Part 1 Punjab Board?
Yes. The 2025–26 edition is the latest, published by PECTAA and based on the Updated/Revised National Curriculum of Pakistan 2023.
How many chapters are in Mathematics Class 11 ICS?
There are 14 units, from Complex Numbers to Vectors in Space.
Is this book the same as the FSC Mathematics book?
Yes. ICS and FSC students study the same Mathematics book. The content, chapters, and exercises are identical.
Is this book useful for ECAT preparation?
Yes. Topics like complex numbers, matrices, trigonometry, binomial theorem, and differentiation from this book are directly tested in ECAT.
What is the difference between the 2025-26 and E-Learn Punjab editions?
Both follow the same NCP 2023 curriculum. The E-Learn Punjab edition is the digital version from the Punjab government’s e-learning platform. The 2025–26 edition is the latest printed version approved by PECTAA.
Is the PDF free to download?
Yes. Both editions of the Mathematics Class 11 ICS book PDF are completely free to download and read on any device.