# Calculus-Based Physics

Written by: Jeffrey W. Schnick (Saint Anselm College)

This is a free physics textbook written by Dr. Jeffrey W. Schnick from the Physics Department of Saint Anselm College. Dr. Schnick set out to write a concise text, free of jargon and which did not require students to continually search for equations and figures that were presented earlier in the text by including it each time it is used. This book is written in two volumes, one for each semester of a year-long course.

Dr. Schnick begins each chapter with a short mathematics or other tutorial that is designed to lead students to a better understanding of the material and even techniques on performing better on tests and exams.

Each volume of this calculus-based physics textbook is offered in PDF and MS Word formats. The author has also included a cover page and spine text for anyone wishing to create a printed copy of the text. There are also formula sheets, SAC physics problems, solutions (in the form of gif files, QuickTime movies, wmv files, and movie executables), class questions, and online quizzes (with answers).

1. Mathematical Prelude
2. Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy
3. Conservation of Mechanical Energy II: Springs, Rotational Kinetic Energy
4. Conservation of Momentum
5. Conservation of Angular Momentum
6. One-Dimensional Motion (Motion Along a Line): Definitions and Mathematics
7. One-Dimensional Motion: The Constant Acceleration Equations
8. One-Dimensional Motion: Collision Type II
9. One-Dimensional Motion Graphs
10. Constant Acceleration Problems in Two Dimensions
11. Relative Velocity
12. Gravitational Force Near the Surface of the Earth, First Brush with Newton’s nd Law
13. Freefall, a.k.a. Projectile Motion
14. Newton’s Laws #: Using Free Body Diagrams
15. Newton’s Laws #: Kinds of Forces, Creating Free Body Diagrams
16. Newton’s Laws #: Components, Friction, Ramps, Pulleys, and Strings
17. The Universal Law of Gravitation
18. Circular Motion: Centripetal Acceleration
19. Rotational Motion Variables, Tangential Acceleration, Constant Angular Acceleration
20. Torque & Circular Motion
21. Vectors: The Cross Product & Torque
22. Center of Mass, Moment of Inertia
23. Statics Work and Energy
24. Potential Energy, Conservation of Energy, Power
25. Impulse and Momentum
26. Oscillations: Introduction, Mass on a Spring
27. Oscillations: The Simple Pendulum, Energy in Simple Harmonic Motion
28. Waves: Characteristics, Types, Energy
29. Wave Function, Interference, Standing Waves
30. Strings, Air Columns
31. Beats, The Doppler Effect
32. Fluids: Pressure, Density, Archimedes’ Principle
33. Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle
34. Temperature, Internal Energy, Heat, and Specific Heat Capacity
35. Heat: Phase Changes
36. The First Law of Thermodynamics

1. Charge & Coulomb&#;s Law
2. The Electric Field: Description and Effect
3. The Electric Field Due to one or more Point Charges Conductors and the Electric Field
4. Work Done by the Electric Field, and, the Electric Potential
5. The Electric Potential Due to One or More Point Charges
6. Equipotential Surfaces, Conductors, and Voltage
7. Capacitors, Dielectrics, and Energy in Capacitors
8. Electric Current, EMF, Ohm&#;s Law
9. Resistors in Series and Parallel; Measuring I & V
10. Resistivity, Power
11. Kirchhoff’s Rules, Terminal Voltage
12. RC Circuits
13. Capacitors in Series & Parallel Magnetic Field Intro: Effects
14. Magnetic Field: More Effects
15. Magnetic Field: Causes
17. Induction, Transformers, and Generators
18. Faraday’s Law and Maxwell’s Extension to Ampere’s Law
19. The Nature of Electromagnetic Waves
20. Huygens’s Principle and -Slit Interference
21. Single-Slit Diffraction
22. Thin Film Interference
23. Polarization
24. Geometric Optics, Reflection
25. Refraction, Dispersion, Internal Reflection
26. Thin Lenses: Ray Tracing
27. Thin Lenses: Lens Equation, Optical Power
28. The Electric Field Due to a Continuous Distribution of Charge on a Line
29. The Electric Potential due to a Continuous Charge Distribution
30. Calculating the Electric Field from the Electric Potential
31. Gauss’s Law
32. Gauss’s Law Example
33. Gauss’s Law for the Magnetic Field, and, Ampere’s Law Revisited
34. The Biot-Savart Law
35. Maxwell’s Equations

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Calculus-Based Physics 