1. Mathematical Logic

    Content: Introduction to logical statements, connectives, and truth tables.

    Objective: To develop the ability to analyze and interpret logical statements and construct truth tables for different logical connectives.

 2. Matrices

    Content: Study of matrices, types of matrices, operations on matrices, and finding determinants.

    Objective: To understand the concept of matrices and determinants and apply matrix algebra to solve system of linear equations.

 3. Trigonometric Functions

    Content: Study of trigonometric identities, functions, and inverse trigonometric functions.

    Objective: To explore the properties of trigonometric functions and use them in solving equations and modeling periodic phenomena.

 4. Pair of Straight Lines

    Content: Study of equations representing a pair of straight lines, their angle of intersection, and condition for concurrency.

    Objective: To develop analytical skills in solving problems involving two intersecting lines and their geometric properties.

 5. Vectors

    Content: Introduction to vector algebra, vector addition, scalar multiplication, and dot and cross products.

    Objective: To understand vector operations and their applications in geometry, mechanics, and physics.

 6. Line and Plane

    Content: Study of lines and planes in 3D space, equations of lines and planes, and their intersections.

    Objective: To develop the ability to solve geometric problems in three dimensions involving lines and planes.

 7. Linear Programming

    Content: Introduction to linear programming problems (LPP), graphical methods, and optimization techniques.

    Objective: To solve optimization problems in reallife situations involving constraints and maximize or minimize Objective functions.

 8. Differentiation

    Content: Study of derivatives, differentiation rules, and higher order derivatives.

    Objective: To understand the concept of differentiation and apply it to solve problems in calculus and realworld applications.

 9. Applications of Derivatives

    Content: Application of derivatives in finding maxima and minima, rate of change, and tangents and normals to curves.

    Objective: To apply derivatives in solving practical problems like optimization and analyzing the behavior of functions.

 10. Indefinite Integration

    Content: Study of integration as the inverse process of differentiation, and methods of indefinite integration.

    Objective: To understand the concept of indefinite integration and apply it in solving problems related to finding general solutions to differential equations.

 11. Definite Integration

    Content: Study of definite integrals, properties of definite integrals, and evaluation techniques.

    Objective: To solve problems involving definite integrals and use them in reallife applications such as finding areas under curves.

 12. Application of Definite Integration

    Content: Applications of definite integrals in finding areas, volumes of revolution, and solving problems in geometry and physics.

    Objective: To apply definite integration in calculating areas between curves and solving practical problems in various fields.

 13. Differential Equations

    Content: Study of ordinary differential equations, methods of solving first order and higher order differential equations.

    Objective: To understand and solve differential equations, and apply them to model physical phenomena and dynamic systems.

 14. Probability Distributions

    Content: Introduction to probability distributions, including discrete and continuous distributions, and expected value.

    Objective: To analyze various probability distributions and apply them to realworld situations involving uncertainty and risk.

 15. Binomial Distribution

    Content: Study of the binomial distribution, its properties, and applications.

    Objective: To understand the binomial distribution and use it to solve problems involving trials with two outcomes (success/failure).