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Curriculum Units (2 Modules):
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1

Mathematical Tools in Physics: Differentiation & Vectors

3-4 Questions • 12-16 Marks

Instantaneous rates of change, velocity/acceleration derivatives, dot and cross products.

Comprehensive Unit Scope:

Instantaneous rates of change, velocity/acceleration derivatives, dot and cross products.

Sub-Topics & Theorems (3):
Differentiation of Trigonometric and Polynomial Motion Functions
Maxima & Minima Conditions for Projectile Optimization
Vector Resolutions and Relative Velocity Vectors
Core Formula Benchmark:
v=dxdt,a=dvdt=vdvdx,A⃗⋅B⃗=ABcos⁡θv = \frac{dx}{dt}, \quad a = \frac{dv}{dt} = v\frac{dv}{dx}, \quad \vec{A} \cdot \vec{B} = AB\cos\theta
Launch Mathematical Tools in Physics: Differentiation & Vectors Studio
2

Integral Calculus in Work, Energy & Mechanics

4-5 Questions • 16-20 Marks

Variable force work integrals, center of mass, and moment of inertia derivations.