1. Relations and Functions

    Content: This chapter focuses on types of relations and functions, including one-to-one, onto, and inverse functions. It also covers composition of functions and binary operations.

    Objective: To develop a clear understanding of various types of functions and their applications in real world scenarios, enhancing problem solving and logical reasoning skills.

2. Algebra

    Content: Algebraic topics covered include matrices, determinants, and their applications, system of linear equations, and elementary transformations.

    Objective: To build proficiency in solving algebraic equations and manipulating matrices and determinants, preparing students for higher studies in mathematics and commerce.

3. Calculus

    Content: This chapter introduces differentiation and integration. It covers differentiation techniques, application of derivatives, and basic integral calculus with definite and indefinite integrals.

    Objective: To equip students with the tools to handle change and growth situations, applicable in fields like economics and business analysis, fostering analytical thinking.

4. Probability

    Content: The study of probability includes conditional probability, independent events, and Bayes’ theorem, along with random variables, probability distributions, and binomial distribution.

    Objective: To enable students to calculate the likelihood of various outcomes and apply probability theory to business decision making and risk assessment.

5. Vectors

    Content: This chapter covers vector algebra, including operations on vectors, scalar and vector products, and applications in threedimensional geometry.

    Objective: To develop spatial awareness and the ability to represent quantities in terms of direction and magnitude, useful in fields like finance, physics, and economics.

6. ThreeDimensional Geometry

    Content: Focuses on the threedimensional coordinate system, direction cosines, direction ratios, equations of planes, and lines in space.

    Objective: To provide a strong understanding of geometric relations in 3D space, which can be applied in areas like architecture, engineering, and advanced financial modeling.

7. Applications of Integrals

    Content: This chapter deals with the application of integrals in calculating areas under curves, between two curves, and the volume of solids of revolution.

    Objective: To develop practical skills in applying integrals to solve real world problems involving areas and volumes, particularly useful in economics and commerce.

8. Application of Calculus

    Content: This chapter focuses on using calculus in optimizing functions, finding maxima and minima, and solving problems related to economics like cost and revenue analysis.

    Objective: To enable students to apply calculus in optimizing business processes, cost management, and revenue maximization, preparing them for commerce related professions.

9. Linear Regression

    Content: Linear regression includes the study of regression lines, the least squares method, and correlation coefficients, helping to understand the relationship between variables.

    Objective: To apply statistical tools to real life situations, particularly in business forecasting, data analysis, and financial modeling.

10. Linear Programming

    Content: The chapter covers the formulation of linear programming problems, graphical solutions, and optimization of Objective functions subject to constraints.

    Objective: To equip students with the ability to model and solve optimization problems in economics and business, such as cost minimization and profit maximization