1.1.1a Sets and their representation
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1.1.1b Union,Intersection,Complements and their Prperties
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1.1.1e.1c Composition of Functions
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1.2 Complex Numbers and Quadratic Eqns
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1.2.1a Complex Numbers as Ordered pair of Reals
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1.2.1b Algebra of Complex Numbers
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1.2.1b.1a Representation on a Plane
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1.2.1c.1a Relation between Roots and Coefficients
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1.2.1c.1c Forming Quadratic Eqns wit given Roots
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1.3.1c.1a Determinants of Matrices of Order 2,3
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1.3.1c.1b Properties of Determinants
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1.3.1c.1c Evaluation of Determinants
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1.3.1c.1d Area of Triangles using Determinants
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1.3.1d Adjoint Matrix,Inverse of Square Matrix
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1.3.1f Solution of Simultaneous Eqns in 2,3 vars
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1.4 Permutations and Combinations
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1.4.1d nPr,nCr representation and application
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1.5.1a Principle of Induction and simple Applications
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1.6.1a Binomial Theorem for positive index
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1.6.1b General Term and Middle Term of Binomial
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1.6.1c Properties of Binomial Coefficients and simple Applications
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1.7.1c Inserting AM,GM between 2 numbers
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1.7.1d Relation between AM,GM and HM
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1.7.1e Sum to n terms of n,n^2,n^3
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1.7.1f Arithmetico-Geometric Progression
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1.8 Limits,Continuity and Differentiabiility
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1.8.1c.1b Trigonometric Functions
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1.8.1e.1b Difference of 2 functions
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1.8.1e.1d Quotient of 2 functions
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1.8.1e.1e Trigonometric functions
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1.8.1e.1f Inverse Trigonometric functions
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1.8.1e.1i Composite and Implicit functions
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1.8.1e.1j Derivatives upto order 2
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1.8.1e.1k Rolle's Mean Value Theorem
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1.8.1e.1l Lagrange's Mean Value Theorem
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1.8.1g Applications of derivatives
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1.8.1g.1a Rate of change of Quantities
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1.8.1g.1b Monotonic Increasing and Decreasing functions
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1.8.1g.1c Maxima and Minima of functions in 1variable
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1.9.1a Integra as anti-derivative
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1.9.1b.1d Trigonometric functions
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1.9.1c Integration by Substitution
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1.9.1e Integration by partial fractions
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1.9.1f Integration using Trigonometric Identities
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1.9.1g Integration of typical quadratic denominator functions
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1.9.1h Integration as limit of a Sum
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1.9.1i Fundamental Theorem of Calculus
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1.9.1j.1a Properties of Definite Integrals
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1.9.1j.1b Evaluation of Definite Integrals
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1.9.1j.1c Areas of Regions bounded by Simple Curves
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2.1.1a Order and Degree of Differential Equations
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2.1.1b Formation of Differential Equations
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2.1.1c Solution of Differential Equations
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2.1.1c.1a Separation of variables
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2.1.1c.1b Solution of Homogeneous and linear differential Equations
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2.2.1a Cartesian system of coordinates in a plane
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2.2.1a.1c Locus and its Equations
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2.2.1.1b Parallel and Perpendicular Lines
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2.2.1.1f Distance of a point from a Line
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2.2.1.1g Equations of internal and External Bisectors
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2.2.1.1h Equation of family of Lines through intersection of 2 Lines
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2.2.1c.1a Coordinates of Centroid
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2.2.1c.1b Coordinates of Orthocentre
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2.2.1c.1c Coordinates of Circumcentre
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2.2.1d.1a Standard and General form of Equation of Circle
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2.2.1d.1b Equation when diameter end points are given
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2.2.1d.1c Points of Intersection of Line with Circle with centre at Origin
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2.2.1d.1d Condition for line to be tangent to a Circle
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2.2.1e Conic Section Equations in Standard Form
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2.2.1e.1d Condition for line y=mx+c to be tangent
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2.3.1a Coordinates of a point in Space
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2.3.1d Direction Ratios and Direction Cosines
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2.3.1e Angle between 2 intersecting Lines
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2.3.1g Equations of a Line and Plane in different forms
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2.3.1h Intersection of a Line and Plane
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2.4.1c Components of Vectors in 2D and 3D
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2.5.1a.1d Calculation of Standard Deviation
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2.5.1a.1e Calculation of Variance
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2.5.1a.1f Calculation of Mean Variance
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2.5.1b.1d Calculation of Standard Deviation
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2.5.1b.1e Calculation of Variance
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2.5.1b.1f Calculation of Mean Variance
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2.5.1b.1a Probability of an Event
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2.5.1b.1e Probability Distribution of a Random variate
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2.5.1b.1f Bernoulli Trials and Distribution
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2.6.1a Trigonometric Identities and Equations
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2.6.1c Inverse Trigonometric functions
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