Acknowledgements Preface 1 Introduction 1.1 Measurement 1.2 Working with Numbers 1.3 Numerics 1.4 Working with Units 1.5 Math Requirements 1.6 Some Mathematical Jargon and Notation in Physics 1.7 Summary 2 Velocity and Acceleration 2.

1 Coordinate Systems, Reference Frames, and Positions 2.2 Displacement 2.3 Position and Speed 2.4 Velocity 2.5 Straight-Line Acceleration: Speeding Up and Slowing Down 2.6 Graphing the Motion 2.7 Constant-Acceleration Motion 2.8 Free Fall 2.

9 How to Solve Physics Problems 2.10 Variable Acceleration 2.11 Summary 3 Vectors 3.1 Superposition 3.2 Vector and Scalars 3.3 Vector Addition 3.4 Components and Basis Vectors 3.5 Vector Addition (Revisited) 3.

6 Summary 4 Two-Dimensional Kinematics 4.1 Coordinate Systems and Position Vectors 4.2 Displacement and Velocity 4.3 Acceleration in Two Dimensions 4.4 Projectile Motion 4.5 Circular Motion and Centripetal Acceleration 4.6 Relative Velocity 4.7 Summary 5 Newton''s Laws 5.

1 Newton''s First Law 5.2 Newton''s Second Law 5.3 Newton''s Third Law 5.4 Forces 5.5 Free-Body Diagrams 5.6 Statics 5.7 Summary 6 Forces 6.1 Gravitational Force: Weight 6.

2 Normal Force 6.3 Frictional Forces -- Kinetic and Static 6.4 Problems on an Inclined Plane 6.5 Tension 6.6 Elastic and Spring Forces 6.7 Refrigerator Magnet Force 6.8 Apparent Weight 6.9 Centripetal Force 6.

10 Centrifugal and Other Inertial Forces 6.11 Summary 7 Energy 7.1 The Idea of Energy 7.2 Work and the Change in Mechanical Energy 7.3 Power 7.4 The Dot Product 7.5 Work by a Non-Uniform Force: The Definite Integral 7.6 Path Integrals 7.

7 Summary 8 Conservative Forces 8.1 Conservative and Non-Conservative Forces 8.2 Finding the Potential Energy 8.3 Finding the Potential Energy (Revisited) 8.4 Graphing the Potential Energy 8.5 Conservation of Energy 8.6 Summary 9 Momentum 9.1 Momentum and Impulse 9.

2 Total Momentum 9.3 Center of Mass 9.4 Collisions 9.5 Collisions in Two Dimensions 9.6 Elastic Collisions 9.7 Summary 10 Rotation about a Fixed Axis 10.1 Rotational Kinematics 10.2 Torque about an Axis 10.

3 Statics of Extended Bodies 10.4 Fixed-Axis Rotational Dynamics 10.5 Rotational Inertia of Continuous Bodies 10.6 Summary 11 Rotation in Three Dimensions 11.1 The Cross Product 11.2 Angular Momentum 11.3 Principal Axes 11.4 Precession 11.

5 Angular Momentum of a Translating and Rotating Body 11.6 Kinetic Energy of a Translating and Rotating Body 11.7 Single-Axis versus Three Dimensions 11.8 An Addendum: Torques and Cross Products (Optional) 11.9 Summary 12 Simple Harmonic Motion 12.1 The Hooke''s Law Problem 12.2 Differential Equations 12.3 Simple Harmonic Motion 12.

4 Energy in Simple Harmonic Motion 12.5 Other Harmonic Oscillators 12.6 Summary 13 Damped Driven Oscillators 13.1 Damping 13.2 Damped Harmonic Oscillators 13.3 Inhomogeneous Linear Differential Equations 13.4 Driven Damped Harmonic Oscillators 13.5 Resonance 13.

6 Summary 14 Pressure and Fluids 14.1 Pressure 14.2 Variation of Pressure with Depth 14.3 Pascal''s Principle 14.4 Archimedes'' Principle 14.5 The Equation of Continuity 14.6 Bernoulli''s Equation 14.7 Viscosity and Poiseuille''s Law 14.

8 Summary 15 Waves 15.1 Superposition 15.2 Reflection from the Ends 15.3 The Wave Equation 15.4 The Boundary-Value Problem 15.5 Continuous Waves 15.6 Reflection and Transmission at an Interface 15.7 An Addendum: The Pressure Wave Equation in a Fluid (Optional) 15.

8 Summary 16 Sound Waves and Standing Waves 16.1 Sound Waves 16.2 The Doppler Effect 16.3 Interference and Beats 16.4 Standing Waves 16.5 Standing Waves on a String 16.6 Reflection of Sound in an Air Column 16.7 Longitudinal Standing Waves 16.

8 Summary 17 Thermal Physics 17.1 Temperature 17.2 Thermal Expansion 17.3 Specific Heat 17.4 Latent Heats 17.5 Energy Transfer 17.6 Heat Conduction 17.7 Summary 18 Thermodynamics 18.

1 The Kinetic Theory of Gases 18.2 The Ideal Gas Law 18.3 Molecular Speed Distribution in a Gas 18.4 Energy and the First Law 18.5 Specific Heats of a Gas 18.6 Thermodynamic Processes 18.7 Entropy and the Second Law 18.8 An Addendum: Statistical Mechanics (Optional) 18.

9 Summary 19 Electric Forces and Fields 19.1 Charge 19.2 Coulomb''s Law 19.3 Induction and Polarization 19.4 Electric Fields 19.5 Continuous Distributions of Charge 19.6 Electric Field Lines 19.7 Electric Flux and Gauss''s Law 19.

8 Summary 20 Electric Potential 20.1 The Gravitational Potential 20.2 The Electric Potential 20.3 Fields and Potentials 20.4 Uniformly Charged Parallel Plates 20.5 Equipotential Surfaces 20.6 Capacitance 20.7 Polarization and Dielectrics 20.

8 Energy in a Capacitor 20.9 Summary 21 Electric Circuits 21.1 Current and Wires 21.2 Batteries 21.3 Resistors and Light Bulbs 21.4 Energy and Power in Circuit Elements 21.5 Circuits 21.6 Equivalent Resistance 21.

7 Kirchhoff''s Laws 21.8 RC Circuits 21.9 Summary 22 Magnetic Forces and Fields 22.1 Magnetic Fields 22.2 Magnetic Force on a Charged Particle 22.3 Magnetic Force on a Current-Carrying Wire 22.4 Calculating the Magnetic Field 22.5 Magnetic Field Due to a Wire 22.

6 Loops and Solenoids 22.7 Amp'ere''s Law 22.8 Magnetic Properties of Materials 22.9 An Addendum: General Proof of Amp'ere''s Law (Optional) 22.10 Summary 23 Induction 23.1 Faraday''s Law 23.2 Lenz''s Law 23.3 Inductors 23.

4 RLC Circuits 23.5 Induced Magnetic Fields 23.6 The Definition of the Kilogram 23.7 Maxwell''s Equations 23.8 An Addendum: The Differential Form of Maxwell''s Equations (Optional) 23.9 Summary 24 Light and Electromagnetic Waves 24.1 Electromagnetic Waves 24.2 Electric and Magnetic Fields in a Wave 24.

3 The Electromagnetic Spectrum 24.4 Huygens''s Principle and Reflection 24.5 Refraction 24.6 Energy in Electromagnetic Waves 24.7 An Addendum: The Electromagnetic Wave Equation (Optional) 24.8 Summary 25 Geometrical Optics 25.1 Spherical Waves and Curvature 25.2 Thin Lenses 25.

3 Ray Tracing and Image Size 25.4 Spherical Mirrors 25.5 Combining Optical Elements 25.6 Optical Instruments 25.7 An Addendum: The Lensmaker''s Formula (Optional) 25.8 Summary 26 Wave Optics 26.1 Double-Slit Interference 26.2 Phasors 26.

3 Gratings 26.4 Diffraction 26.5 Resolution 26.6 Thin Films 26.7 Polarization 26.8 Circular Polarization 26.9 Summary Appendices A Trig Review for Physics A.1 Sine, Cosine, and Tangent A.

2 Trigonometric Identities A.3 The Calculus of Trigonometric Functions B Calculus for Physics B.1 Limits B.2 Derivatives B.3 Integrals B.4 The Partial Derivative B.5 Table of Integrals C Physical and Fundamental Constants C.1 Some Physical Constants C.

2 Some Astronomical Constants D Coordinate Systems for Physics D.1 Cartesian, Cylindrical, and Spherical Coordinates D.2 Coordinate Transformations Index.