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MATHEMATICS COURSE BOOK -10
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1. NUMBER THEORY
1.0 INTRODUCTION
1.1 SEQUENCES
1.1.1 Arithmetic Progression
1.1.2 Geometric Progression
1.2 SERIES
1.2.1 Sum to n terms of an A.P
1.2.2 Sum to n terms of a G.P
12.3 Summation of some special series
2. MENSURATION
2.0 INTRODUCTION
2.1 VOLUMES AND SURFACE AREAS
2.2 INVARIANT VOLUMES
3. THEORY OF SETS
3.0 INTRODUCTION
3.1 SETS
4. ALGEBRA
4.0 INTRODUCTION
4.1 SIMULTANEOUS EQUATIONS
4.1.1 Procedure of solving three given linear equations in x,y,z
4.1.2 Problems leading to simultaneous equations
4.2 Polynomial
4.2.1 Synthetic Division
4.2.2 Remainder Theorem
4.2.3 Factor Theorem
4.2.4 Factorisation
4.3 G.C.D AND L.C.M
4.3.1 Greatest Common Divisor (G.C.D)
4.3.2 Least Common Multiple (L.C.M)
4.4 RATIONAL EXPRESSIONS
4.4.1 Simplification of Rational expressions
4.4.2 Multiplication and division of rational expressions
4.4.3 Addition and Subtraction of Rational Numbers
4.5 SQUARE ROOT
4.5.1 Square root by factorisation method
4.5.2 Finding square root by division method
4.6 QUADRATIC EQUATION
4.6.1 Solution of quadratic equations by factorisation
4.6.2 Problems leading to quadratic equation
4.6.3 Nature of Roots
5. APPLIED MATHEMATICS
5.0 INTRODUCTION
5.1 LINEAR PROGRAMMING
5.2 NETWORK PROGRAMMING
6. GEOMETRY
6.0 INTRODUCTION
6.1 LOCUS
6.2 CIRCLES
6.3 ANGLES IN A CIRCLE
6.4 CIRCLES AND TANGENTS
6.5 SIMILAR TRIANGLE
7. ANALYTICAL GEOMETRY
7.0 INTRODUCTION
7.1 RATIO FORMULA
7.2 AREA OF ATRIANGLE
7.3 STRAIGHT LINE
7.4 SOME PROPERTIES OF STRAIGHT LINES
7.4.1 Intersection of two straight lines
7.4.2 Concurrency of straight lines
7.4.3 Incentre, circumcentre and orthocentre of a triangle
8. TRIGONOMETRY
8.0 INTRODUCTION
8.1 USE OF TRIGONOMETRIC TABLES
8.2 HEIGHTS AND DISTANCES
9. PRACTICAL GEOMETRY
9.0 INTRODUCTION
9.1 CONSTRUCTION OF CYCLIC QUADRILATERAL
9.2 CONSTRUCTION OF TRIANGLES
9.3 CONSTRUCTION OF TANGENTS TO CIRCLES
10. STATISTICS
10.0 INTRODUCTION
10.1 DISPERSION
10.2 PROBABILITY
11. GRAPHS
11.0 INTRODUCTION
11.1 QUADRATIC GRAPHS
11.2 SOME SPECIAL GRAPHS
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