Mathematics • 12th Grade / Senior Year /WASSCE / O Level.

Grade 12 mathematics covers a wide range of topics, aiming to provide students with a strong foundation in mathematical concepts and problem-solving skills. Here's an overview of the typical syllabus:

1. Relations and Functions: This includes types of relations and functions, composition of functions, inverse trigonometric functions, etc.

2. Algebra: Topics cover matrices, determinants, and their properties, as well as complex numbers and quadratic equations.

3. Calculus: Differential calculus involves topics such as continuity and differentiability, applications of derivatives, and differentiation of inverse trigonometric functions. Integral calculus covers definite and indefinite integrals, applications of integrals, and integrals of inverse trigonometric functions.

4. Vectors and Three-Dimensional Geometry: This section involves the study of vectors, scalar and vector products, and 3D geometry, including the distance between two points and direction cosines.

5. Linear Programming: This topic introduces students to the concepts of optimization using linear programming.

6. Probability: Students learn about probability as a measure of uncertainty, along with topics like conditional probability and independence of events.

7. Statistics: This includes measures of dispersion and measures of central tendency, as well as analysis of frequency distributions.

8. Differential Equations: This section covers various types of differential equations, such as those of first order and first degree, as well as higher-order differential equations.

9. Mathematical Reasoning: Students learn about statements, logical operations, and truth values.

10. Discrete Mathematics: Topics may include sets, relations, functions, and Boolean algebra.

11. Limits and Derivatives (optional): Some schools may include this topic, covering the basic concepts of limits and derivatives.

12. Mathematical Induction (optional): This topic involves proofs by mathematical induction.

It's worth noting that the CBSE curriculum may vary slightly from one school to another, and the syllabus may be updated periodically. Additionally, the emphasis on certain topics may differ based on the specific requirements of the board.