Calculus-Based Physics I

Volume I of a two-volume introductory calculus-based physics textbook is available free of charge. Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students. Calculus-Based Physics is a free physics textbook.

Book Description

There is the assumption that low or no cost means low quality. I think folks that read the book will discover the fallacy of that argument. The bottom line is that I wanted a book that would be ideally suited to my own calculus based physics course and I wanted to make it available to physics professors in a way that would allow them either to either use it as is or to easily edit it to create a book ideally suited, in the case of each professor, to their own physics course, a book that they could, if desired, release to the public to provide another starting point for the cycle. That’s why I wrote it, and that’s why I released it for free. I hope you find it useful.

Table of Contents

• Mathematical Prelude
• Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy
• Conservation of Mechanical Energy II: Springs, Rotational Kinetic Energy
• Conservation of Momentum
• Conservation of Angular Momentum
• One-Dimensional Motion (Motion Along a Line): Definitions and Mathematics
• One-Dimensional Motion: The Constant Acceleration Equations
• One-Dimensional Motion: Collision Type II
• One-Dimensional Motion Graphs
• Constant Acceleration Problems in Two Dimensions
• Relative Velocity
• Gravitational Force Near the Surface of the Earth, First Brush with Newton’s 2nd Law
• Freefall, aka Projectile Motion
• Newton’s Laws #1: Using Free Body Diagrams
• Newton’s Laws #2: Kinds of Forces, Creating Free Body Diagrams
• Newton’s Laws #3: Components, Friction, Ramps, Pulleys, and Strings
• The Universal Law of Gravitation
• Circular Motion: Centripetal Acceleration
• Rotational Motion Variables, Tangential Acceleration, Constant Angular Acceleration
• Torque & Circular Motion
• Vectors: The Cross Product & Torque
• Center of Mass, Moment of Inertia
• Statics
• Work and Energy
• Potential Energy, Conservation of Energy, Power
• Impulse and Momentum
• Oscillations: Introduction, Mass on a Spring
• Oscillations: The Simple Pendulum, Energy in Simple Harmonic Motion
• Waves: Characteristics, Types, Energy
• Wave Function, Interference, Standing Waves
• Strings, Air Columns
• Beats, The Doppler Effect
• Fluids: Pressure, Density, Archimedes’ Principle
• Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle
• Temperature, Internal Energy, Heat, and Specific Heat Capacity
• Heat: Phase Changes
• The First Law of Thermodynamics

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