Basic Mathematics

Contents

1. LOGARITHMS              

1.1 Introduction    

1.2 Laws of Logarithm

1.3 Change of Base Rule

1.4 Types of Logarithm

2. DETERMINANT             

2.1 Introduction    

2.2 Definition and Expansion of Determinant    

2.3 Cramer’s Rule to Solve Simultaneous Equations in three Unknowns

2.4 Area of Triangle By Determinant Method

3. MATRICES              

3.1 Definition of Matrix  

3.2 Algebra of Matrices   

3.3 Transpose of Matri

3.4 Adjoint of Matrix

3.5 Solution of Simultaneous Equations

4. Partial Fraction          

4.1 Introduction    

4.2 Partial Fraction of Proper Fraction   

4.3 Partial Fractions of Improper Fraction

5. Trigonometric Ratios of Allied, Compound, Multiple and Submultiples Angles

5.1 Introduction    

5.2 Compound Angles 

5.3 Allied Angles   

5.4 Trigonometric Ratios of Multiple  Angles   

5.5 Trigonometric Ratios of Submultiple Angles

6. Factorization and Defactorization Formulae

6.1 Introduction    

6.2 Factorization Formulae (or Product Formulae)    

6.3 De-factorization Formulae

7. Inverse Trigonometric Ratios   

7.1 Introduction    

7.2 Principal Values

7.3 Properties of Inverse Trigonometric Functions

8. STRAIGHT LINE    

8.1 Introduction    

8.2 Various form of a Straight Line

9. Mensuration

9.1 Introduction    

9.2 Area of Regular Closed Figure   

9.3 Volume and Surface Area of a Solid

10. Statistics

10.1 Introduction   

10.2 The Range 

10.3 The Mean Deviation  

10.4 Standard Deviation  

10.5 Standard Deviation by Change of Origin and Scale OR Method of STEP Deviation    

10.6 Variance

10.7 Coefficient of S.D. 

10.8 Coefficient of Variance   

10.9 Computation of S.D. 

10.10 Standard Deviation by Step Deviation Method