These free Mathematics Class 11 (1st Year) notes cover the complete FSc/ICS Part-I syllabus for the PECTAA Board, in English medium, across all 14 units — from Complex Numbers and Functions through Trigonometry, Limits, Differentiation, and Vectors in Space.
Every unit follows the same consistent structure: an overview and learning objectives, key concepts explained in plain language, important definitions, a quick-reference table of key formulas, custom diagrams, worked Solved Examples showing every method step by step, short and long question-answers, MCQs with explanations, a revision summary, and exam tips — so students can both learn a topic from scratch and revise it quickly before an exam.
Each unit page has its own downloadable PDF, and this hub page links to a single combined PDF containing all 14 units for offline study.
All 14 Units
- Unit 1: Complex Numbers
- Unit 2: Functions and Graphs
- Unit 3: Theory of Quadratic Functions
- Unit 4: Matrices and Determinants
- Unit 5: Partial Fractions
- Unit 6: Sequences and Series
- Unit 7: Permutations and Combinations
- Unit 8: Mathematical Inductions and Binomial Theorem
- Unit 9: Division of Polynomials
- Unit 10: Trigonometric Identities
- Unit 11: Trigonometric Functions and their Graphs
- Unit 12: Limit and Continuity
- Unit 13: Differentiation
- Unit 14: Vectors in Space
Frequently Asked Questions
What board and class do these Mathematics notes cover?
These notes cover Mathematics for FSc/ICS Part-I (1st Year / Class 11) under the PECTAA Board, English medium.
How many units are covered in the Class 11 Mathematics notes?
All 14 units of the syllabus are covered: Complex Numbers, Functions and Graphs, Theory of Quadratic Functions, Matrices and Determinants, Partial Fractions, Sequences and Series, Permutations and Combinations, Mathematical Inductions and Binomial Theorem, Division of Polynomials, Trigonometric Identities, Trigonometric Functions and their Graphs, Limit and Continuity, Differentiation, and Vectors in Space.
Do the notes include solved examples?
Yes — every unit has a dedicated Solved Examples section with fully worked, step-by-step solutions so students can see exactly how each method is applied, not just the final formulas.
Can I download the notes as a PDF?
Yes. Each unit has its own downloadable PDF, and a single combined PDF with all 14 units is available from this page for complete offline study.
Are these notes free to use?
Yes, all notes on freebooks.pk are completely free to read online and download.
Do the notes include MCQs and past-paper-style questions?
Yes — every unit includes multiple choice questions with explanations, plus short and long question-answers written in the style used in board exams.