1. Units and Measurements

• Base Units (Time, Length, Mass)
• Measurement of Volume
• Dimensional Analysis

2. Vectors

• Addition of Vectors (Graphical and Component Methods)
• Relative Velocity
• Unit Vectors (i, j, k notation)
• Vector Multiplication: Scalar (Dot) Product and Vector (Cross) Product

3. Motion in One Dimension

• Motion with Constant Acceleration (Kinematic Equations)
• Freely Falling Bodies

4. Motion in a Plane

• Position, Velocity, and Acceleration Vectors
• Projectile Motion

5. Newton’s Laws of Motion

• First, Second, and Third Laws
• Conservation of Linear Momentum
• Collisions and Coefficient of Restitution

6. Circular Motion

• Uniform Circular Motion
• Centripetal Force and Acceleration
• Motion Around a Curve (Banked and Unbanked)

7. Work and Energy

• Work Done by a Constant/Variable Force
• Kinetic Energy and the Work-Energy Theorem
• Power

8. Potential Energy and Conservation of Energy

• Gravitational Potential Energy
• Conservation of Mechanical Energy
• Energy Conservation with Friction (Non-conservative forces)
• Potential Energy of a Spring
• Simple Machines

9. Rotational Motion

• Angular Velocity and Acceleration
• Torque and Moment of Inertia
• Rotational Kinetic Energy

10. Statics and Elasticity

• Conditions for Rotational Equilibrium
• Stress, Strain, and Elastic Moduli

11. Oscillations

• Simple Harmonic Motion (SHM)
• Mass-Spring Systems and Simple Pendulums

12. Gravity

• Newton's Law of Universal Gravitation
• Gravitational Potential Energy
• Kepler's Laws (briefly)