Chapter 1 – Complex Numbers
Complex numbers, algebraic operations, Argand diagram, modulus & argument
Updated 2027
Chapter 1 – Complex Numbers
Complex numbers, algebraic operations, Argand diagram, modulus & argument
Chapter 2 – Functions and Graphs
Types of functions, domain & range, inverse functions, graphical representation
Updated 2027
Chapter 2 – Functions and Graphs
Types of functions, domain & range, inverse functions, graphical representation
Chapter 3 – Theory of Quadratic Functions
Nature of roots, symmetric functions of roots, system of quadratic equations
Updated 2027
Chapter 3 – Theory of Quadratic Functions
Nature of roots, symmetric functions of roots, system of quadratic equations
Chapter 4 – Matrices and Determinants
Matrix operations, determinants, inverse of a matrix, Cramer’s rule
Updated 2027
Chapter 4 – Matrices and Determinants
Matrix operations, determinants, inverse of a matrix, Cramer’s rule
Chapter 5 – Partial Fractions
Rational fractions, linear and repeated quadratic factors decomposition
Updated 2027
Chapter 5 – Partial Fractions
Rational fractions, linear and repeated quadratic factors decomposition
Chapter 6 – Sequences and Series
Arithmetic, geometric & harmonic progressions, means and sum of series
Updated 2027
Chapter 6 – Sequences and Series
Arithmetic, geometric & harmonic progressions, means and sum of series
Chapter 7 – Permutation and Combination
Fundamental counting principle, factorials, permutations, combinations & probability
Updated 2027
Chapter 7 – Permutation and Combination
Fundamental counting principle, factorials, permutations, combinations & probability
Chapter 8 – Binomial Theorem
Mathematical induction, binomial expansion for positive and fractional indices
Updated 2027
Chapter 8 – Binomial Theorem
Mathematical induction, binomial expansion for positive and fractional indices
Chapter 9 – Division of Polynomials
Synthetic division, remainder theorem, factor theorem and polynomial roots
Updated 2027
Chapter 9 – Division of Polynomials
Synthetic division, remainder theorem, factor theorem and polynomial roots
Chapter 10 – Trigonometric Identities
Fundamental identities, allied angles, sum-to-product & double angle formulas
Updated 2027
Chapter 10 – Trigonometric Identities
Fundamental identities, allied angles, sum-to-product & double angle formulas
Chapter 11 – Trigonometric Functions and their Graphs
Even & odd functions, period, amplitude, graphs and maximum/minimum values
Updated 2027
Chapter 11 – Trigonometric Functions and their Graphs
Even & odd functions, period, amplitude, graphs and maximum/minimum values
Chapter 12 – Limits and Continuity
Theorems on limits, trigonometric & exponential limits, continuity of functions
Updated 2027
Chapter 12 – Limits and Continuity
Theorems on limits, trigonometric & exponential limits, continuity of functions
Chapter 13 – Differentiation
Derivative from first principles, power, product, quotient & chain rules, rates of change
Updated 2027
Chapter 13 – Differentiation
Derivative from first principles, power, product, quotient & chain rules, rates of change
Chapter 14 – Vectors in Space
3D coordinates, unit vectors, dot product, cross product and scalar triple product
Updated 2027
Chapter 14 – Vectors in Space
3D coordinates, unit vectors, dot product, cross product and scalar triple product