Mathematics Volume 1 of 4: Intermediate (11 and 12 Classes)

A Focused Intermediate Mathematics Textbook

Dr. V. K. Sachan’s Mathematics Volume 1 of 4 is built for students navigating the 11th and 12th class mathematics syllabus. It opens with sets, relations, and functions before moving into algebra, trigonometry, combinatorics and mathematical induction, binomial theorem, sequences and series, and two-dimensional analytical geometry. The aim is straightforward: explain fundamental concepts clearly, then give students enough worked practice to use them confidently.

What the Book Covers

• Sets, Relations and Functions: set operations, Cartesian products, intervals, relations, functions, graphing transformations, and inverse functions.
• Basic Algebra: real numbers, absolute value, inequalities, quadratic and polynomial functions, exponents, radicals, logarithms, and real-life applications.
• Trigonometry: core trigonometric ideas and problem-solving practice.
• Combinatorics and Mathematical Induction: counting principles and proof techniques.
• Binomial Theorem, Sequences and Series: expansions, progressions, and series work.
• Two Dimensional Analytical Geometry: coordinate methods for lines, curves, and conic sections.

How the Material Is Presented

Each chapter is planned as an independent unit, so the book can support sequential study or topic-wise revision. The author includes a large number of solved examples, carefully designed diagrams, graded problems, and multiple-choice questions with detailed solutions. Examples and problems draw on recent papers from UP Board, CBSE, and ICSE examinations, helping students become familiar with common question patterns.

Who Will Find It Useful

This volume is intended for Intermediate students in the 11th and 12th classes, as well as teachers and tutors who want a clear classroom-friendly reference. The simple language and worked examples make it approachable for learners who need step-by-step explanation, while the range of problems gives more confident students room to practice.

Why This Volume Matters

Volume 1 of 4 lays the foundation for later mathematical study. Rather than treating topics in isolation, it connects functions, algebra, trigonometry, and coordinate geometry into a coherent first course. For students preparing for board examinations, the emphasis on solved examples and objective questions can be especially practical.

Start Your Intermediate Mathematics Preparation

If you are working through the 11th and 12th class syllabus and want a resource that explains the fundamentals without skipping the practice, this volume offers a structured place to begin. Add it to your Digital Delights library and work through the topics at your own pace.