This course is designed for 10 to 11 moving students who are planning to prepare for IIT JEE (Main + Advanced) or any other engineering entrance examination.

This course is essential for solving problems in Physics. Mastery ensures efficient problem-solving and conceptual clarity. Mathematical tools are the backbone of JEE Physics.

To master JEE Physics, proficiency in key mathematical tools is vital:

1. Algebra & Trigonometry: Solve equations in kinematics, resolve vectors, and model oscillations (SHM) using trigonometric identities.
2. Calculus: Derivatives analyze instantaneous rates (velocity, acceleration); integrals compute work, flux, and moment of inertia. Differential equations model RC circuits and SHM.
3. Vectors: Dot/cross products calculate work, torque, and flux. 
4. Coordinate Geometry: Parabolas describe projectile motion; slopes interpret velocity-time graphs.
5. Graph Analysis: Extract data (slope = velocity, area = displacement) and link equations to real-world phenomena.  
6. Approximations: Binomial theorem and small-angle simplifications aid optics and gravitation problems.  

Key Focus: Calculus and vectors underpin mechanics and electromagnetism. Integrate tools like trigonometry with coordinate geometry for projectile/circular motion. Regular practice of math-physics synergy (e.g., deriving kinematic equations via integration) sharpens problem-solving skills, crucial for JEE success.

This course covers following topics and subtopics:

1. Introduction to Physics & Mathematical Tools  ----------------------  1 hrs
2. Trogonometry      -----------------------------------------------------   4 hrs
3. Quadratic Equation  ---------------------------------------------------  1 hrs
4. Arithmetic progression & Geometric progression  -------------------  2 hrs
5. Binomial Expression, Expansion & Approximation  ------------------  2 hrs
6. Co-Ordinate Geometry  ------------------------------------------------ 1 hrs
7. Introduction to Function  ---------------------------------------------- 1 hrs
8. Graph of Different Functions  -----------------------------------------  3 hrs
9. Logarithms, Logarithmic Function and its graph  --------------------  3 hrs
10. Differentiation  --------------------------------------------------------  3 hrs
11. Application of Derivatives in Physics, Maxima & Minima ------------  2 hrs
12. Integration & its application in Physics  ------------------------------ 3 hrs
13. Differential Equation & its application in Physics  ---------------------3 hrs
14. Vector & its application in Physics  ------------------------------------ 3 hrs

Total Duration of Course : 30 hrs