This class is specifically designed for Class 12 Mathematics students, focusing on topics they find challenging or wish to explore further. The sessions will be customized based on student demands, ensuring a targeted and efficient learning experience.

The Class 12 Maths syllabus lays a robust groundwork in mathematics, covering diverse topics essential for academic success. Here’s an overview of the chapters and key concepts we will cover:

1. Relations and Functions

   • Exploring types of relations
   • Properties of functions
   • Composition and inverse of functions

2. Inverse Trigonometric Functions

   • Understanding trigonometric ratios and their inverses
   • Key properties of inverse trigonometric functions

3. Matrices

   • Classification and operations on matrices
   • Determinants and their significance

4. Determinants

   • Essential properties of determinants
   • Solving equations using Cramer’s Rule

5. Continuity and Differentiability

   • Concept of function continuity
   • Differentiability and derivatives
   • Rolle’s Theorem and Mean Value Theorem

6. Application of Derivatives

   • Rate of change of quantities
   • Tangents, normals, maxima, and minima

7. Integrals

   • Indefinite and definite integrals
   • Fundamental Theorem of Calculus
   • Advanced integration techniques

8. Applications of Integrals

   • Calculating area under curves
   • Introduction to differential equations

9. Differential Equations

   • Understanding order and degree
   • Formation and solutions of differential equations

10. Vector Algebra

    • Properties and applications of vectors
    • Scalar and vector products

11. Three-Dimensional Geometry

    • Direction cosines and ratios
    • Equations of lines and planes in 3D

12. Linear Programming

    • Fundamentals of linear programming
    • Solving problems using the graphical method

13. Probability

    • Random experiments and events
    • Conditional probability and Bayes’ theorem

With this course, students will not only master the syllabus but also gain confidence in solving complex problems, paving the way for success in board exams and competitive exams like JEE Mains and Olympiads