Tamil Nadu Board of Secondary EducationHSC Science Class 11th

# Mathematics Class 11th HSC Science Tamil Nadu Board of Secondary Education Topics and Syllabus

Tamil Nadu Board of Secondary Education Syllabus For Class 11th Mathematics: Knowing the Syllabus is very important for the students of Class 11th. Shaalaa has also provided a list of topics that every student needs to understand.

The Tamil Nadu Board of Secondary Education Class 11th Mathematics syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the Class 11th Mathematics Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Tamil Nadu Board of Secondary Education Class 11th Mathematics Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for Class 11th Mathematics in addition to this.

## Tamil Nadu Board of Secondary Education Class 11th Mathematics Revised Syllabus

Tamil Nadu Board of Secondary Education Class 11th Mathematics and their Unit wise marks distribution

## Syllabus

1 Sets, Relations and Functions
2 Basic Algebra
• Introduction to Basic Algebra
• Real Number System
• Rational Numbers
• The Number Line
• Irrational Numbers
• Properties of Real Numbers
• Absolute Value
• Definition and Properties
• Equations Involving Absolute Value
• Some Results For Absolute Value
• Inequalities Involving Absolute Value
• Linear Inequalities

Given alpha,beta as roots then find the equation whose roots are of the form alpha^3, beta^3 , etc

Case I:a>0 -> 1)Real roots, 2)Complex roots,3)Equal roots

Case II:a<0 -> 1)Real roots, 2)Complex roots,3)Equal roots

Where ‘a’ is the coefficient of x2 in the equations of the form ax2 + bx + c = 0.

Understanding the fact that a quadratic expression (when plotted on a graph) is a parabola.

• Steps to Solve Quadratic Inequalities
• Polynomial Functions
•  Division Algorithm
•  Important Identities
• Rational Functions
• Rational Inequalities
• Partial Fractions
• Graphical Representation of Linear Inequalities
•  Exponents
• Properties of Exponents
• Exponential Function
• Properties of Exponential Function
• A Special Exponential Function
• Logarithms
• Properties of Logarithm
• Application of Algebra in Real Life
3 Trigonometry
• Introduction of Trigonometry
• A Recall of Basic Results
• Angles
• Different Systems of measurement of angle
• Degree Measure
• Angles in Standard Position
• Coterminal angles
• Basic Trigonometric ratios using a right triangle
• Exact values of trigonometric functions of widely used angles
• Basic Trigonometric Identities
• Relationship between Degree and Radian Measures
• Trigonometric Functions and Their Properties
• Trigonometric Functions of any angle in terms of Cartesian coordinates
• Trigonometric ratios of Quadrantal angles
•  Trigonometric Functions of real numbers
• Signs of Trigonometric functions
•  Allied Angles
•  Some Characteristics of Trigonometric Functions
• Periodicity of Trigonometric Functions
• Odd and Even trigonometric functions
• Trigonometric Identities
1.  Sum and difference identities or compound angles formulas
2.  Multiple angle identities and submultiple angle identities
3.  Conditional Trigonometric Identities
• Trigonometric Equations
• Properties of Triangle
• The Law of Sines or Sine Formula
• Law of Sines
• Law of Cosines
• Projection Formula
• Projection Formula
• Half-Angle formula
• Area of a triangle (Heron’s Formula )
• Application to Triangle
• Inverse Trigonometric Functions
• Inverse sine function
• Inverse cosine function
• Inverse tangent function
• Inverse cosecant function
• Inverse secant function
• Inverse cotangent function
• Principal Values of Inverse Trigonometric Functions
• Properties of inverse trigonometric functions
4 Combinatorics and Mathematical Induction
5 Binomial Theorem, Sequences and Series
6 Two Dimensional Analytical Geometry
• Introduction to Two Dimensional Analytical Geometry
• Locus of a Point
• Procedure for finding the equation of the locus of a point
• Straight Lines
• Inclination of a line
• Slope of a line
• Perpendicular Lines
• Angle between intersecting lines
• Different Forms of an equation of a straight line
• General form to other forms
• Angle Between Two Straight Lines
• Condition for Parallel Lines
• Condition for perpendicular Lines
• Position of a point with respect to a straight line
• Distance Formulas
• Family of lines
• One parameter families
• Two parameters families
• The family of equation of straight lines through the point of intersection of the two givenlines
• Pair of Straight Lines

3.3.1 Combined equation of the pair of straight lines

3.3.2 Pair of straight lines passing through the origin

3.3.3 Angle between pair of straight lines passing through the origin

3.3.4 The condition for general second degree equation to represent the pair of straight

lines

•  Equation of the bisectors of the angle between the lines
•  General form of Pair of Straight Lines
7 Matrices and Determinants
• Introduction to Matrices and Determinants
• Matrices
• General form of a matrix
• Types of Matrices
• Equality of Matrices
• Algebraic Operations on Matrices
• Properties of Matrix Addition, Scalar Multiplication and Product of Matrices
• Operation of Transpose of a Matrix and its Properties
• Symmetric and Skew-symmetric Matrices
• Determinants
• Determinants of Matrices of different order
• Properties of Determinants
• Application of Factor Theorem to Determinants
• Product of Determinants
• Relation between a Determinant and its Cofactor Determinant
• Area of a Triangle
• Singular and non-singular Matrices
8 Vector Algebra
9 Differential Calculus - Limits and Continuity
• Introduction to Differential Calculus -limits and Continuity
• Limits
• The calculation of limits
• One sided limits
• Theorems on limits
• Infinite limits and limits at infinity
• Limits at infinity
• Limits of rational functions
• Applications of limits
• Sandwich Theorem
• Two special Trigonometrical limits
• Some important other limits
• Continuity
• Examples of functions Continuous at a point
• Algebra of continuous functions
• Removable and Jump Discontinuities
10 Differential Calculus - Differentiability and Methods of Differentiation
11 Integral Calculus
12 Introduction to Probability Theory