Algebra

TNSCERT

8th

ALGEBRA 74-120
3.1 Introduction 76
3.2 Multiplication of Algebraic Expressions 77
3.3 Division of Algebraic Expressions 82
3.4 Avoid some Common Errors 84
3.5 Identities 86
3.6 Cubic Identities 88
3.7 Factorisation 92
3.8 Linear Equation in One Variable
3.9 Graph 107
3.10 Linear Graph

9th
ALGEBRA 78
3.1 Introduction 78
3.2 Polynomials 81
3.3 Remainder Theorem 92
3.4 Algebraic Identities 97
3.5 Factorisation 102
3.6 Division of Polynomials 108
3.7 Greatest Common Divisor (GCD)
3.8 Linear Equation in Two Variables

10th
Algebra 85-160
3.1 Introduction 85
3.2 July Simultaneous Linear Equations in Three Variables 87
3.3 GCD and LCM of Polynomials 93
3.4 Rational Expressions 98
3.5 Square Root of Polynomials 103
3.6 Quadratic Equations 106
3.7 Graph of Variations 123
3.8 Quadratic Graphs 130
3.9 Matrices

11th
CHAPTER 2 – Basic Algebra
2.1 Introduction 52
2.2 Real number system 53
2.3 Absolute value 55
2.4 Linear inequalities 57
2.5 Quadratic functions 59
2.6 Polynomial functions 64
2.7 Rational functions 68
2.8 Exponents and radicals 73
2.9 Logarithm 77
2.10 Application of algebra in real life

CHAPTER 7 – Matrices and Determinants P.No Month
7.1 Introduction 1
7.2 Matrices 2 October
7.3 Determinants 20

CHAPTER 8 – Vector Algebra
8.1 Introduction 47
8.2 Scalars and vectors 49
8.3 Representation of a vector and types of vectors 49
8.4 Algebra of vectors 51
8.5 Position vectors 56 October
8.6 Resolution of vectors 60
8.7 Direction cosines and Direction ratios 63
8.8 Product of vectors

12th
1 Applications of Matrices and Determinants 1 Jun
1.1 Introduction 1
1.2 Inverse of a Non-Singular Square Matrix 2
1.3 Elementary Transformations of a Matrix 16
1.4 Applications of Matrices: Solving System of
Linear Equations 27
1.5 Applications of Matrices: Consistency of system of
linear equations by rank method 38

2 Complex Numbers 52 Jul
2.1 Introduction to Complex Numbers 52
2.2 Complex Numbers 54
2.3 Basic Algebraic Properties of Complex Numbers 58
2.4 Conjugate of a Complex Number 60
2.5 Modulus of a Complex Number 66
2.6 Geometry and Locus of Complex Numbers 73
2.7 Polar and Euler form of a Complex Number 75
2.8 de Moivre’s Theorem and its Applications 83

3 Theory of Equations 97 Jul
3.1 Introduction 97
3.2 Basics of Polynomial Equations 99
3.3 Vieta’s Formulae and Formation of Polynomial Equations 100
3.4 Nature of Roots and Nature of Coefficients of
Polynomial Equations 107
3.5 Applications of Polynomial Equation in Geometry 111
3.6 Roots of Higher Degree Polynomial Equations 112
3.7 Polynomials with Additional Information 113
3.8 Polynomial Equations with no additional information 118
3.9 Descartes Rule

Applications of Vector Algebra 221 Aug/Sep
6.1 Introduction 221
6.2 Geometric Introduction to Vectors 222
6.3 Scalar Product and Vector Product 224
6.4 Scalar triple product 231
6.5 Vector triple product 238
6.6 Jacobi’s Identity and Lagrange’s Identity 239
6.7 Application of Vectors to 3-Dimensional Geometry 242
6.8 Different forms of Equation of a plane 255
6.9 Image of a point in a plane 273
6.10 Meeting point of a line and a plane