1. Sets and Functions

    Content: Introduces the concept of sets, their operations, and functions. Topics include set notation, types of sets, operations on sets, and functions and their properties.

    Objective: To understand the basic concepts of set theory and functions, and to apply these concepts to solve problems in various mathematical contexts.

2. Algebra

    Content: Covers algebraic expressions, equations, and inequalities. Key topics include polynomials, factorization, quadratic equations, and algebraic identities.

    Objective: To develop skills in manipulating algebraic expressions and solving algebraic equations and inequalities, and to understand the applications of algebra in solving reallife problems.

3. Coordinate Geometry

    Content: Focuses on the Cartesian coordinate system, distance formula, section formula, and the equation of a straight line. Includes topics on slopes and intercepts.

    Objective: To apply coordinate geometry concepts to analyze and interpret geometric figures, and to solve problems involving lines and their properties.

4. Calculus

    Content: Introduces basic concepts of calculus, including limits, derivatives, and integrals. Covers techniques for differentiation and integration and their applications.

    Objective: To understand the fundamental principles of calculus, including differentiation and integration, and to apply these techniques to solve problems involving rates of change and areas under curves.

5. Financial Mathematics

    Content: Deals with mathematical concepts related to finance, including interest calculations (simple and compound interest), annuities, and amortization. Topics also cover financial statements and profit calculations.

    Objective: To apply mathematical principles to solve financial problems, including interest calculations and financial planning, and to understand the mathematical basis of financial decision making.

6. Statistics

    Content: Covers data collection, organization, and analysis. Topics include measures of central tendency (mean, median, mode), measures of dispersion (range, variance, standard deviation), and graphical representation of data.

    Objective: To analyze and interpret statistical data, calculate measures of central tendency and dispersion, and use statistical methods to make informed decisions based on data.

7. Probability

    Content: Introduces probability theory, including the concepts of probability, events, and sample spaces. Covers probability calculations for simple and compound events, and applications of probability in various contexts.

    Objective: To understand the principles of probability, calculate probabilities for different types of events, and apply probability concepts to solve problems involving uncertainty and chance.