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Giancoli Calc • 4th Edition • 978-0131495089
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Ch 01: Introduction, Measurement, Estimating
Introduction to Units
Unit Conversions
Solving Density Problems
Dimensional Analysis
Counting Significant Figures
Operations with Significant Figures
Ch 02: Describing Motion: Kinematics in One Dimension
Vectors, Scalars, & Displacement
Average Velocity
Intro to Acceleration
Position-Time Graphs & Velocity
Conceptual Problems with Position-Time Graphs
Position Functions and Instantaneous Velocity
Velocity-Time Graphs & Acceleration
Conceptual Problems with Velocity-Time Graphs
Graphing Position, Velocity, and Acceleration Graphs
Velocity Functions & Instantaneous Acceleration
Kinematics Equations
Vertical Motion and Free Fall
Catch/Overtake Problems
Calculating Displacement from Velocity-Time Graphs
Calculating Change in Velocity from Acceleration-Time Graphs
Ch 03: Kinematics in Two or Three Dimensions; Vectors
Review of Vectors vs. Scalars
Introduction to Vectors
Adding Vectors Graphically
Vector Composition & Decomposition
Adding Vectors by Components
Trig Review
Unit Vectors
Intro to Motion in 2D: Position & Displacement
Velocity in 2D
Position Function in 2D
Instantaneous Velocity in 2D
Acceleration in 2D
Instantaneous Acceleration in 2D
Kinematics in 2D
Intro to Projectile Motion: Horizontal Launch
Negative (Downward) Launch
Symmetrical Launch
Projectiles Launched From Moving Vehicles
Positive (Upward) Launch
Using Equation Substitution
Intro to Relative Velocity
Ch 04: Dynamics: Newton's Laws of Motion
Newton's First & Second Laws
Forces & Kinematics
Forces with Calculus
Newton's Third Law & Action-Reaction Pairs
Vertical Forces & Acceleration
Vertical Equilibrium & The Normal Force
Forces in 2D
Equilibrium in 2D
Forces in Connected Systems of Objects
Inclined Planes
Ch 05: Using Newton's Laws: Friction, Circular Motion, Drag Forces
Kinetic Friction
Static Friction
Systems of Objects with Friction
Inclined Planes with Friction
Systems of Objects on Inclined Planes with Friction
Uniform Circular Motion
Period and Frequency in Uniform Circular Motion
Centripetal Forces
Vertical Centripetal Forces
Flat Curves
Banked Curves
Ch 06: Gravitation and Newton's Synthesis
Newton's Law of Gravity
Gravitational Forces in 2D
Gravitational Force Inside Earth
Acceleration Due to Gravity
Satellite Motion: Speed & Period
Geosynchronous Orbits
Overview of Kepler's Laws
Kepler's First Law
Kepler's Third Law
Kepler's Third Law in Elliptical Orbits
Mass Distributions with Calculus
Ch 07: Work and Energy
Intro to Energy & Kinetic Energy
Introduction to Dot Product (Scalar Product)
Calculating Dot Product Using Components
Intro to Calculating Work
Work On Inclined Planes
Work By Springs
Net Work & Work-Energy Theorem
Work As Area Under F-x Graphs
Calculating Work via Integration
Ch 08: Conservation of Energy
Intro to Conservation of Energy
Energy with Non-Conservative Forces
Motion Along Curved Paths
Energy in Connected Objects (Systems)
Solving Projectile Motion Using Energy
Springs & Elastic Potential Energy
Force & Potential Energy
Gravitational Potential Energy
Gravitational Potential Energy for Systems of Masses
Escape Velocity
Power
Instantaneous Power
Ch 09: Linear Momentum
Intro to Momentum
Intro to Impulse
Impulse with Variable Forces
Intro to Conservation of Momentum
Push-Away Problems
Adding Mass to a Moving System
How to Identify the Type of Collision
Completely Inelastic Collisions
Ballistic Pendulum
Calculating Impulse via Integration
Momentum & Impulse in 2D
Types of Collisions
Elastic Collisions
Collisions & Motion (Momentum & Energy)
Collisions with Springs
Intro to Center of Mass
Ch 10: Rotational Motion
Rotational Position & Displacement
Rotational Velocity & Acceleration
Equations of Rotational Motion
Converting Between Linear & Rotational
Types of Acceleration in Rotation
Rolling Motion (Free Wheels)
Intro to Connected Wheels
More Connect Wheels (Bicycles)
Intro to Moment of Inertia
Moment of Inertia of Systems
Moment of Inertia & Mass Distribution
Parallel Axis Theorem
Intro to Rotational Kinetic Energy
Energy of Rolling Motion
Conservation of Energy with Rotation
More Conservation of Energy Problems
Conservation of Energy in Rolling Motion
Types of Motion & Energy
Moment of Inertia via Integration
Intro to Torque
Net Torque & Sign of Torque
Torque Due to Weight
Torque on Discs & Pulleys
Torque on Discs & Pulleys
Torque & Acceleration (Rotational Dynamics)
How to Solve: Energy vs Torque
Torque with Kinematic Equations
Rotational Dynamics with Two Motions
Rotational Dynamics of Rolling Motion
Ch 11: Angular Momentum; General Rotation
Intro to Cross Product (Vector Product)
Calculating Cross Product Using Components
Intro to Angular Momentum
Conservation of Angular Momentum
Angular Momentum of a Point Mass
Angular Momentum of Objects in Linear Motion
Opening/Closing Arms on Rotating Stool
Spinning on String of Variable Length
Intro to Angular Collisions
Angular Collisions with Linear Motion
Jumping Into/Out of Moving Disc
Angular Momentum & Newton's Second Law
Ch 12: Static Equilibrium; Elasticity and Fracture
More 2D Equilibrium Problems
Torque & Equilibrium
Equilibrium with Multiple Objects
Equilibrium with Multiple Supports
Review: Center of Mass
Center of Mass & Simple Balance
Equilibrium in 2D - Ladder Problems
Beam / Shelf Against a Wall
Ch 13: Fluids
Density
Intro to Pressure
Pascal's Law & Hydraulic Lift
Pressure Gauge: Barometer
Pressure Gauge: Manometer
Pressure Gauge: U-shaped Tube
Buoyancy & Buoyant Force
Ideal vs Real Fluids
Fluid Flow & Continuity Equation
Ch 14: Oscillations
Spring Force (Hooke's Law)
Intro to Simple Harmonic Motion (Horizontal Springs)
Energy in Simple Harmonic Motion
Simple Harmonic Motion of Vertical Springs
Simple Harmonic Motion of Pendulums
Energy in Pendulums
Ch 15: Wave Motion
Intro to Waves
Wave Functions & Equations of Waves
Velocity of Transverse Waves (Strings)
Wave Interference
Standing Waves
Ch 16: Sound
Sound Waves
Standing Sound Waves
Sound Intensity
The Doppler Effect
Beats
Ch 17: Temperature, Thermal Expansion, and the Ideal Gas Law
Temperature
Linear Thermal Expansion
Volume Thermal Expansion
The Ideal Gas Law
Moles and Avogadro's Number
Ch 18: Kinetic Theory of Gases
Kinetic-Molecular Theory of Gases
Average Kinetic Energy of Gases
Root-Mean-Square Velocity of Gases
Speed Distribution of Ideal Gases
Phase Diagrams, Triple Points and Critical Points
Mean Free Path of Gases
Ch 19: Heat and the First Law of Thermodynamics
Internal Energy of Gases
Specific Heat & Temperature Changes
Intro to Calorimetry
Latent Heat & Phase Changes
Calorimetry with Temperature and Phase Changes
Advanced Calorimetry: Equilibrium Temperature with Phase Changes
First Law of Thermodynamics
PV Diagrams & Work
Work Done Through Multiple Processes
Isothermal Processes
Heat Equations for Special Processes & Molar Specific Heats
Cyclic Thermodynamic Processes
Heat Transfer
Ch 20: Second Law of Thermodynamics
Heat Engines and the Second Law of Thermodynamics
Heat Engines & PV Diagrams
The Carnot Cycle
The Otto Cycle
Refrigerators
Entropy and the Second Law of Thermodynamics
Entropy Equations for Special Processes
Statistical Interpretation of Entropy
Ch 21: Electric Charge and Electric Field
Electric Charge
Charging Objects
Charging By Induction
Conservation of Charge
Coulomb's Law (Electric Force)
Coulomb's Law with Calculus
Electric Field
Electric Fields with Calculus
Electric Fields in Capacitors
Electric Field Lines
Dipole Moment
Electric Fields in Conductors
Ch 22: Gauss' Law
Electric Flux
Gauss' Law
Electric Flux with Calculus
Gauss' Law with Calculus
Ch 23: Electric Potential
Electric Potential Energy
Electric Potential
Work From Electric Force
Relationships Between Force, Field, Energy, Potential
Potential Difference with Calculus
The ElectronVolt
Equipotential Surfaces
Electric Field As Derivative of Potential
Ch 24: Capacitance, Dielectrics, Electric Energy
Capacitors & Capacitance
Parallel Plate Capacitors
Energy Stored by Capacitor
Capacitance Using Calculus
Combining Capacitors in Series & Parallel
Solving Capacitor Circuits
Intro To Dielectrics
How Dielectrics Work
Dielectric Breakdown
Ch 25: Electric Currents and Resistance
Intro to Current
Current with Calculus
Resistors and Ohm's Law
Power in Circuits
Microscopic View of Current
Ch 26: DC Circuits
Combining Resistors in Series & Parallel
Kirchhoff's Junction Rule
Solving Resistor Circuits
Kirchhoff's Loop Rule
Ch 27: Magnetism
Magnets and Magnetic Fields
Summary of Magnetism Problems
Force on Moving Charges & Right Hand Rule
Circular Motion of Charges in Magnetic Fields
Mass Spectrometer
Magnetic Force on Current-Carrying Wire
Force and Torque on Current Loops
Ch 28: Sources of Magnetic Field
Magnetic Field Produced by Moving Charges
Magnetic Field Produced by Straight Currents
Magnetic Force Between Parallel Currents
Magnetic Force Between Two Moving Charges
Magnetic Field Produced by Loops and Solenoids
Toroidal Solenoids aka Toroids
Biot-Savart Law (Calculus)
Ampere's Law (Calculus)
Ch 29: Electromagnetic Induction
Intro to Induction
Magnetic Flux
Magnetic Flux with Calculus
Faraday's Law
Faraday's Law with Calculus
Lenz's Law
Motional EMF
Transformers
Ch 30: Inductance, Electromagnetic Oscillations, and AC Circuits
Mutual Inductance
Self Inductance
Inductors
LR Circuits
LC Circuits
LRC Circuits
Alternating Voltages and Currents
RMS Current and Voltage
Power in AC Circuits
Phasors
Resistors in AC Circuits
Phasors for Resistors
Capacitors in AC Circuits
Phasors for Capacitors
Inductors in AC Circuits
Phasors for Inductors
Impedance in AC Circuits
Series LRC Circuits
Resonance in Series LRC Circuits
Ch 31: Maxwell's Equations and Electromagnetic Waves
Intro to Electromagnetic (EM) Waves
The Electromagnetic Spectrum
Intensity of EM Waves
Wavefunctions of EM Waves
The Doppler Effect of Light
Ch 32: Light, Reflection and Refraction
Ray Nature Of Light
Law of Reflection
Snell's Law
Total Internal Reflection
Ch 33: Lenses and Optical Instruments
Ray Diagrams For Mirrors
Mirror Equation
Refraction At Spherical Surfaces
Ray Diagrams For Lenses
Thin Lens And Lens Maker Equations
Ch 34: The Wave Nature of Light; Interference
Diffraction
Diffraction with Huygen's Principle
Young's Double Slit Experiment
Ch 35: Diffraction and Polarization
Single Slit Diffraction
Polarization & Polarization Filters
Ch 36: Special Relativity
Inertial Reference Frames
Special Vs. Galilean Relativity
Consequences of Relativity
Lorentz Transformations
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