SSS 3 Mathematics Syllabus1. SSS 3 Mathematics for SSS 3- Introduction to advanced mathematical concepts and techniques
- Review of basic mathematical principles and operations
2. SSS 3 Surds- Definition and properties of surds
- Simplification and rationalization of surds
- Operations involving surds
- Solving equations involving surds
3. SSS 3 Matrices and Determinants- Definition and properties of matrices and determinants
- Operations with matrices and determinants
- Solving systems of linear equations using matrices
- Applications of matrices and determinants in real-life situations
4. SSS 3 Logarithm- Definition and properties of logarithms
- Laws of logarithms
- Solving logarithmic equations
- Applications of logarithms in various fields
5. SSS 3 Arithmetic of Finance- Compound interest and its applications
- Annuities and their calculations
- Present value and future value of money
- Amortization and sinking funds
6. SSS 3 Trigonometry Graphs of Trigonometric Ratios- Review of trigonometric ratios and their properties
- Graphs of sine, cosine, and tangent functions
- Transformations of trigonometric graphs
- Solving trigonometric equations and inequalities
7. SSS 3 Surface Area and Volume of Sphere- Formulas for calculating the surface area and volume of a sphere
- Applications of sphere in geometry and real-life situations
- Problems involving the surface area and volume of composite figures
8. SSS 3 Longitude and Latitude- Understanding the concept of longitude and latitude
- Finding coordinates using longitude and latitude
- Determining distances and angles on the Earth's surface using longitude and latitude
9. SSS 3 Coordinates Geometry of Straight Lines- Equations of straight lines in different forms
- Slope and intercept of a line
- Parallel and perpendicular lines
- Applications of coordinate geometry in various fields
10. SSS 3 Differentiation- Definition and basic rules of differentiation
- Differentiation of polynomial, exponential, logarithmic, and trigonometric functions
- Applications of differentiation in optimization and rate of change problems
11. SSS 3 Integration- Definition and basic rules of integration
- Integration of polynomial, exponential, logarithmic, and trigonometric functions
- Applications of integration in finding areas and volumes
This syllabus is designed to provide SSS 3 students with a comprehensive understanding of advanced mathematical concepts and techniques. It covers various topics including surds, matrices and determinants, logarithm, arithmetic of finance, trigonometry, surface area and volume of a sphere, longitude and latitude, coordinate geometry of straight lines, differentiation, and integration. Through this syllabus, students will develop problem-solving skills and the ability to apply mathematical concepts in real-life situations.
This course is helpful for the following exams: SSS 3