At the end of every unit, all necessary identities, derivatives, integrals, and geometric properties are compiled into high-density reference tables for quick revision. Chapter-by-Chapter Syllabus Analysis
You might have noticed the word "patched" in some contexts when referring to this study material. In the world of educational resources, "patched" simply means an updated and improved version. It signifies that a previous version has been revised to correct minor errors, incorporate clarifications, or align better with the latest exam pattern. When you find a "patched" version, you can be confident that you are accessing the most refined and accurate edition of Mr. S. Rajan's excellent work.
Algebraic operations, Argand diagrams, polar form, Euler form, and De Moivre’s theorem. At the end of every unit, all necessary
Mr. S. Rajan holds an impressive string of academic credentials——making him not just a subject matter expert but a trained master of pedagogy. His study materials stand out for several reasons:
Highlights the "strip method" (horizontal vs. vertical strips) to set up correct integral limits easily. Chapter 10: Ordinary Differential Equations It signifies that a previous version has been
: Includes one-mark solutions and material specifically "patched" or updated for the 2021 exam cycle. Chapter Breakdown
| Chapter Number | Typical Chapter Title | Key Concepts & Focus Areas | | :--- | :--- | :--- | | | Relations and Functions | Types of relations (reflexive, symmetric, transitive) & functions (one-one, onto, composite). | | 2 | Inverse Trigonometric Functions | Principal values, properties, and graphs of inverse trigonometric functions. | | 3 | Matrices | Types of matrices, matrix operations, transpose, and elementary operations. | | 4 | Determinants | Finding determinants, properties, and applications (solving linear equations). | | 5 | Continuity and Differentiability | Understanding differentiability, chain rule, and derivatives of composite functions. | | 6 | Application of Derivatives | Finding rate of change, tangents/normals, increasing/decreasing functions, and maxima/minima. | | 7 | Integrals | Indefinite and definite integrals, methods like substitution, and evaluation of definite integrals. | | 8 | Application of Integrals | Finding areas under simple curves and between two curves. | | 9 | Differential Equations | General and particular solutions, variable separation method, and homogeneous equations. | | 10 | Vector Algebra | Vectors and scalars, direction cosines, vector addition, and scalar/dot product. | | 11 | Three Dimensional Geometry | Equations of a line and a plane in space, and angles between them. | | 12 | Linear Programming | Mathematical formulation and graphical solution of LPPs. | | 13 | Probability | Conditional probability, multiplication theorem, Bayes' theorem, and probability distributions. | Rajan's excellent work
: Typically available as chapter-wise PDF guides, spanning over 270 pages for full volumes. Key Features :
: Finding rank, solving systems of linear equations, and calculating inverses.