Calculus-Based Physics I by Jeffrey Schnick
Calculus-Based Physics I - Table of Contents
1. Mathematical Prelude
2. Conservation of Mechanical Energy I: Kinetic Energy and Gravitational Potential Energy
3. Conservation of Mechanical Energy II: Springs and 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: 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 Application of Newton’s Second Law
13. Free Fall (Projectile Motion)
14. Newton’s Laws I: Using Free-Body Diagrams
15. Newton’s Laws II: Types of Forces and Creating Free-Body Diagrams
16. Newton’s Laws III: Components, Friction, Ramps, Pulleys, and Strings
17. The Universal Law of Gravitation
18. Circular Motion: Centripetal Acceleration
19. Rotational Motion Variables, Tangential Acceleration, and Constant Angular Acceleration
20. Torque and Circular Motion
21. Vectors: The Cross Product and Torque
22. Center of Mass and Moment of Inertia
23. Statics
24. Work and Energy
25. Potential Energy, Conservation of Energy, and Power
26. Impulse and Momentum
27. Oscillations: Introduction and Mass on a Spring
28. Oscillations: The Simple Pendulum and Energy in Simple Harmonic Motion
29. Waves: Characteristics, Types, and Energy
30. Wave Functions, Interference, and Standing Waves
31. Strings and Air Columns
32. Beats and the Doppler Effect
33. Fluids: Pressure, Density, and Archimedes’ Principle
34. Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle
35. Temperature, Internal Energy, Heat, and Specific Heat Capacity
36. Heat and Phase Changes
37. The First Law of Thermodynamics
What You Will Learn in Calculus-Based Physics I
"Calculus-Based Physics I" by "Jeffrey Schnick" is an open-access textbook designed for the "first semester" of a "calculus-based physics" course, ideal for science and engineering students. It introduces fundamental concepts in "mechanics", energy, momentum, waves, fluids, and thermodynamics, using calculus to provide a deeper understanding of motion, forces, and physical laws. The book balances clear explanations with practical examples, helping students develop both conceptual understanding and problem-solving skills.
The text begins with a brief review of necessary "mathematical tools", including basic calculus concepts, to prepare students for applying mathematics to physics problems. Core topics such as Newton’s laws, work and energy, conservation of momentum, oscillations, wave behavior, fluid dynamics, and heat are presented with step-by-step explanations and worked examples. Exercises throughout each chapter encourage students to apply what they learn and build confidence in solving quantitative physics problems.
Published under a "Creative Commons license", the book is freely available in digital formats, making it accessible for classroom use or self-study. Its applied focus, clear structure, and emphasis on "mathematical application" make it suitable for students beginning their journey in physics. Overall, "Calculus-Based Physics I" provides a solid foundation in classical mechanics and prepares learners for more advanced topics in "physics" and related scientific fields.
Book Details & Specifications
Title:
Calculus-Based Physics I by Jeffrey Schnick
Publisher:
Jeffrey W. Schnick
Year:
2008
Pages:
267
Type:
PDF
Language:
English
ISBN-10 #:
149376800X
ISBN-13 #:
978-1493768004
License:
CC BY-SA 2.5
Amazon:
Amazon
About the Author: Jeffrey Schnick
The author
Jeffrey Schnick
is a physics professor at "Saint Anselm College" and the author of "Calculus-Based Physics I". His textbook introduces "calculus-based physics" topics such as mechanics, kinematics, energy, and momentum, providing clear explanations and step-by-step examples for science and engineering students. Schnick emphasizes active learning, practical exercises, and "quantitative reasoning". Supporting "open educational resources", the book is freely accessible and adaptable.
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