Standard syllabus
Calculus-based physics · Undergraduate · Physics
Topics
Calculus-enhanced mechanics
- Instantaneous velocity and acceleration from derivatives
- Integrals for work, impulse, and center of mass
- Differential equations for damped oscillations (intro)
- Variable force problems using integration
- Energy methods with potential energy functions
Rotational and oscillatory systems
- Angular kinematics with calculus
- Torque and angular momentum as vector quantities
- Small-angle approximations for pendulums
- Coupled oscillators and normal modes (overview)
- Rolling without slipping constraints
Fields and circuits
- Electric and magnetic fields with vector notation
- Gauss's law integrals for symmetric charge distributions
- RC circuit charging as exponential decay
- Maxwell's equations in integral form
- Wave equation for electromagnetic radiation
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