Physics with Calculus

This textbook is designed for use with first- and second-year college level physics for engineers and scientists. While the content is not mathematically complicated or very advanced, the students are expected to be familiar with differential calculus and some integral calculus.

Unlike the Modern Physics textbook, this textbook will stay with the traditional order in presentation of topics in mechanics, thermodynamics, electromagnetism, and geometric optics. These consist the first two semesters and perhaps first few weeks of the third semester. The topics in modern physics, which can be covered during the third semester in the remaining time, can be presented or read in any order.

In keeping with maintaining the orthodox order, we will also maintain the traditional chapter-section organization. A few suggested break points between semesters are shown below as well. These break points are marked by a horizontal line between chapters.

(Note to editors: For the purpose of hierarchical organization, at least until the organization of the book is settled down, it should be: "Physics with Calculus/General Topic/Specific Topic", where "General Topic" is any of the following: Mechanics, Thermodynamics, Waves, Electromagnetism, Optics, Modern. No additional "general topic" should be necessary. "Specific Topic" is what it sounds like it is. It can be as specific as necessary, such as "Conservation of Angular Momentum in Spin-Orbit Coupling", or as general as necessary, such as "Newton's Laws". More specific information, such as ordering of chapters will be kept in this module only. This should minimize the need to rename books each time one section moves from one chapter to another, without the unclear "Part I" or "Unit I".)

Introductions

 * Introduction to Textbook
 * Introduction to Physics (general)
 * Introduction for Engineers
 * Introduction for Chemists
 * Introduction for Geologists
 * Introduction for Biologists
 * Introduction for Mathematicians

Measurement

 * 1) The SI Unit System
 * 2) Scalar and Vector Quantities
 * 3) Significant Figures

Kinematics

 * 1) Motion in One Dimension
 * 2) Motion in Two Dimensions
 * 3) Projectile Motion
 * 4) Relative Motion
 * 5) Velocity and Acceleration

Newton's Laws

 * 1) Newton's First Law
 * 2) Newton's Second Law
 * 3) Newton's Third Law
 * 4) Center of Mass
 * 5) Linear Motion and Statics

Energy

 * 1) Work and Energy
 * 2) Energy and Conservation of Energy

Gravity

 * 1) Newton's Law of Gravitation and Weight
 * 2) Gravitational Potential Energy

Other Topics

 * 1) Momentum and Conservation of Momentum
 * 2) Rotational Motion
 * 3) Linear-Rotational Analogs
 * 4) Fluid Mechanics
 * 5) Harmonic Motion, Waves, and Sounds

Thermodynamics

 * 1) Pressure and Temperature
 * 2) The Ideal Gas
 * 3) Intensive and Extensive Properties
 * 4) Entropy

Electromagnetism

 * 1) Electric Charge and Coulomb's Law
 * 2) Electric Fields
 * 3) Continuous Charge Distributions
 * 4) Gauss' Law
 * 5) Voltage
 * 6) Field Energy
 * 7) Capacitance, Inductance, LRC Circuits
 * 8) Current and Circuits
 * 9) Resistance
 * 10) Magnetic fields
 * 11) Ampere's Law
 * 12) Electromagnetic Induction
 * 13) AC Circuits
 * 14) Maxwell's Equations
 * 15) Electromagnetic Waves

Optics

 * 1) Light
 * 2) Geometric Optics
 * 3) Wave Properties of Light

Modern Physics

 * 1) Relativity
 * 2) Special Relativity
 * 3) Quantum Mechanics
 * 4) Atoms
 * 5) The Bohr Model
 * 6) The Schroedinger Equation

Indices and appendices

 * Glossary
 * Appendix 1: Derivatives
 * Appendix 2: Examples of Derivatives