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Department: Important Questions, Answers TamilNadu State Board
Maths 11th std
Online Study Material, Lecturing Notes, Assignment, Reference, Wiki and important questions and answers
Chapter 1 Sets Relations and Functions
:
Sets, Relations and Functions: Introduction
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Sets
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Cartesian Product
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Constants and Variables, Intervals and Neighbourhoods
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Relations
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Functions
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Graphing Functions using Transformations
Chapter 2 Basic Algebra
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Basic Algebra: Introduction
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Real Number System
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Absolute Value
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Linear Inequalities
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Quadratic Functions
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Polynomial Functions
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Rational Functions
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Exponents and Radicals
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Logarithm
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Application of Algebra in Real Life
Chapter 3 Trigonometry
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Trigonometry: Introduction
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A recall of basic results
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Radian Measure
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Trigonometric functions and their properties
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Trigonometric Identities
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Trigonometric equations
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Properties of Triangle
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The Law of Sines or Sine Formula
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Area of a triangle (Heron’s Formula )
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Application to Triangle
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Inverse Trigonometric Functions
Chapter 4 Combinatorics and Mathematical Induction
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Combinatorics and Mathematical Induction: Introduction
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Fundamental principles of counting
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Factorials
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Permutations
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Combinations
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Mathematical induction
Chapter 5 Binomial Theorem Sequences and Series
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Binomial Theorem, Sequences and Series: Introduction
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Binomial Theorem
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Particular cases of Binomial Theorem
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Finite Sequences
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Finite Series
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Infinite Sequences and Series
Chapter 6 Two Dimensional Analytical Geometry
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Two Dimensional Analytical Geometry: Introduction
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Locus of a point
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Straight Lines
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Angle between two straight lines
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Pair of Straight Lines
Chapter 7 Matrices and Determinants
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Matrices and Determinants : Introduction
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Matrices
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General form of a matrix
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Types of Matrices
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Equality of Matrices
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Algebraic Operations on Matrices
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Properties of Matrix Addition, Scalar Multiplication and Product of Matrices
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Operation of Transpose of a Matrix and its Properties
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Symmetric and Skewsymmetric Matrices
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Determinants of Matrices of different order
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Properties of Determinants
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Application of Factor Theorem to Determinants
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Product of Determinants
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Relation between a Determinant and its Cofactor Determinant
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Determinants: Area of a Triangle
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Determinants: Singular and nonsingular Matrices
Chapter 8 Vector Algebra I
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Vector Algebra: Introduction
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Scalars and Vectors
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Representation of a vector and types of vectors
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Algebra of Vectors
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Position vectors
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Resolution of Vectors
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Direction Cosines and Direction Ratios
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Product of Vectors
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Scalar product and Properties of Scalar Product
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Vector Product and Properties of Vector Product
Chapter 9 Differential Calculus Limits and Continuity
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Differential Calculus  Limits and Continuity
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The calculation of limits
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One sided limits: lefthand limit and righthand limit
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Theorems on limits
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Infinite Limits
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Limits at infinity
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Limits of rational functions
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Applications of limits
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Sandwich Theorem
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Two special Trigonometrical limits
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Some important other limits
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Continuity  Differential Calculus
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Examples of functions Continuous at a point
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Algebra of continuous functions
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Removable and Jump Discontinuities  Differential Calculus
Chapter 10 Differential Calculus Differentiability and Methods of Differentiation
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Differential Calculus Differentiability and Methods of Differentiation
:
The concept of derivative
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The tangent line problem  The concept of derivative
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Velocity of Rectilinear motion  The concept of derivative
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The derivative of a Function  The concept of derivative
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One sided derivatives (left hand and right hand derivatives)  The concept of derivative
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Differentiability and Continuity
:
Differentiation Rules
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Derivatives of basic elementary functions  Differentiation Rules
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Examples on Chain Rule (Differentiation Rules)
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Implicit Differentiation
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Logarithmic Differentiation
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Substitution method  Differential Calculus
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Derivatives of variables defined by parametric equations
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Differentiation of one function with respect to another function
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Higher order Derivatives
Chapter 11 Integral Calculus
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Integral Calculus: Introduction
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Newton Leibnitz Integral
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Basic Rules or Formula of Integration
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Integrals of the Form (ax + b)
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Properties of Integrals
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Simple applications of Integral Calculus
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Methods of Integration
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Decomposition Methods of Integration
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Decomposition by Partial Fractions  Integration Method
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Integration Method of substitution or change of variable
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Important Results of Integral Calculus
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Integration by parts
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Bernoulli’s formula for Integration by Parts
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Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx
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Integration of Rational Algebraic Functions
Chapter 12 Introduction to Probability Theory
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Introduction to Probability Theory
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Basic definitions for Probability Theory
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Finite sample space  Probability Theory
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Classical definition (A priori) of probability (Bernoulli’s principle of equally likely)
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Axiomatic approach to Probability
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Odds  Probability Theory
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Some basic Theorems on Probability
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Conditional Probability
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Total Probability of an event
:
Bayes’ Theorem
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