Calculus For Physics: Motion, Forces, and Energy: A Problem-Based Calculus Workbook for Physics and Engineering Students

This workbook covers a variety of essential calculus skills, including:

• derivatives of position, velocity, and acceleration

• integrating acceleration to find displacement

• projectile motion with calculus

• non-uniform circular motion

• variable forces and Newton’s second law

• work as the integral of force

• conservative forces and potential energy

• impulse and momentum theorems

• center of mass for continuous bodies

• moment of inertia integrals

• rotational kinematics

• simple harmonic motion

• hydrostatic pressure integrals

• flow rate and continuity

• work done by expanding gases

• heat capacity and entropy rates

• wave equation derivatives

• electric field integrals

• Gauss’s law and flux

• magnetic induction rates

The goal of this workbook is not to cover every possible topic in calculus or physics, but to focus on the most essential skills needed to apply calculus to real physical systems in mechanics, fluids, thermodynamics, waves, and electromagnetism.