Sets, relations and functions Complex numbers and quadratic equations Matrices and determinants Permutations and combinations Mathematical induction Binomial theorem and its simple applications Sequences and series Limit, continuity and differentiability Integral calculus Differential equations Co-ordinate geometry Three dimensional geometry Vector algebra Statistics and probability Trigonometry Mathematical reasoning

Algebra

Algebra of Complex Numbers Triangle Inequality Geometric Interpretations Quadratic Equations with Real Coefficients Arithmetic Geometric and Harmonic Progressions Logarithms and their Properties Permutations and Combinations Matrices Probability

Trigonometry

Trigonometric Functions General Solution of Trigonometric Equations Relations between Sides and Angles of a Triangle Inverse Trigonometric Functions

Differential Calculus

Real Valued Functions of a Real Variable Limit and Continuity of a Function Even and Odd Functions Derivative of a Function Derivative of the Sum Derivative of Implicit Functions Rolle’s Theorem and Lagrange’s Mean Value Theorem

Integral Calculus

Integration as the Inverse Process of Differentiation Fundamental Theorem of Integral Calculus Integration by Parts Formation of Ordinary Differential Equations

Analytical Geometry

Two Dimensions Equation of a Straight Line in Various Forms Concurrency of Lines Equation of a Circle in Various Forms Parametric Equations of a Circle Equations of a Parabola Locus Problems Three Dimensions

Vectors

Addition of Vectors Scalar Multiplication Dot and Cross Products Scalar Triple Products their Geometrical Interpretations

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