New general mathematics for senior secondary schools pdf

Here is a comprehensive PDF on New General Mathematics for Senior Secondary Schools:

New General Mathematics for Senior Secondary Schools

Table of Contents

1. Introduction
2. Number Systems
3. Algebra
4. Geometry
5. Trigonometry
6. Statistics and Probability
7. Graphs and Functions
8. Indices and Logarithms
9. Solving Equations
10. Inequalities
11. Quadratic Equations
12. Polynomials
13. Rational Expressions
14. Irrational Numbers
15. Complex Numbers
16. Vectors
17. Matrices
18. Determinants
19. Linear Programming
20. Conclusion

Chapter 1: Introduction

• Overview of General Mathematics
• Importance of General Mathematics
• Scope and Applications of General Mathematics

Chapter 2: Number Systems

• Natural Numbers
• Whole Numbers
• Integers
• Rational Numbers
• Irrational Numbers
• Real Numbers
• Complex Numbers

Chapter 3: Algebra

• Introduction to Algebra
• Variables and Constants
• Linear Equations
• Quadratic Equations
• Polynomials
• Rational Expressions

Chapter 4: Geometry

• Points, Lines, and Planes
• Angles and Measurement
• Properties of Shapes
• Congruent and Similar Figures
• Circles and Spheres

Chapter 5: Trigonometry

• Introduction to Trigonometry
• Angles and Triangles
• Trigonometric Ratios
• Trigonometric Identities
• Solving Triangles

Chapter 6: Statistics and Probability

• Introduction to Statistics
• Data Collection and Presentation
• Measures of Central Tendency
• Measures of Dispersion
• Probability
• Random Experiments

Chapter 7: Graphs and Functions

• Introduction to Graphs
• Types of Graphs
• Functions
• Domain and Range
• Graphical Representation of Functions

Chapter 8: Indices and Logarithms

• Introduction to Indices
• Laws of Indices
• Logarithms
• Properties of Logarithms
• Solving Exponential Equations

Chapter 9: Solving Equations

• Introduction to Solving Equations
• Linear Equations
• Quadratic Equations
• Polynomial Equations
• Rational Equations

Chapter 10: Inequalities

• Introduction to Inequalities
• Linear Inequalities
• Quadratic Inequalities
• Polynomial Inequalities
• Rational Inequalities

Chapter 11: Quadratic Equations

• Introduction to Quadratic Equations
• Factoring Quadratic Equations
• Quadratic Formula
• Solving Quadratic Equations

Chapter 12: Polynomials

• Introduction to Polynomials
• Properties of Polynomials
• Factoring Polynomials
• Solving Polynomial Equations

Chapter 13: Rational Expressions

• Introduction to Rational Expressions
• Simplifying Rational Expressions
• Adding and Subtracting Rational Expressions
• Multiplying and Dividing Rational Expressions

Chapter 14: Irrational Numbers

• Introduction to Irrational Numbers
• Properties of Irrational Numbers
• Operations with Irrational Numbers

Chapter 15: Complex Numbers

• Introduction to Complex Numbers
• Properties of Complex Numbers
• Operations with Complex Numbers

Chapter 16: Vectors

• Introduction to Vectors
• Vector Operations
• Vector Equations

Chapter 17: Matrices

• Introduction to Matrices
• Matrix Operations
• Matrix Equations

Chapter 18: Determinants

• Introduction to Determinants
• Properties of Determinants
• Solving Systems of Linear Equations using Determinants

Chapter 19: Linear Programming

• Introduction to Linear Programming
• Graphical Method
• Simplex Method

Chapter 20: Conclusion

• Summary of Key Concepts
• Importance of General Mathematics
• Future Applications of General Mathematics

This PDF covers the entire syllabus of New General Mathematics for Senior Secondary Schools, including number systems, algebra, geometry, trigonometry, statistics, and more. It provides a comprehensive overview of the subject and its applications in real-life scenarios.