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Tipler Calc • 6th Edition •
Not the textbook you were looking for? Pick another one here.
Ch 01: Measurements and Vectors
Introduction to Units
Unit Conversions
Solving Density Problems
Dimensional Analysis
Counting Significant Figures
Operations with Significant Figures
Vectors, Scalars, & Displacement
Introduction to Vectors
Adding Vectors Graphically
Vector Composition & Decomposition
Adding Vectors by Components
Trig Review
Unit Vectors
Ch 02: Motion In One Dimension
Review of Vectors vs. Scalars
Average Velocity
Intro to Acceleration
Position-Time Graphs & Velocity
Conceptual Problems with Position-Time Graphs
Velocity-Time Graphs & Acceleration
Calculating Displacement from Velocity-Time Graphs
Conceptual Problems with Velocity-Time Graphs
Calculating Change in Velocity from Acceleration-Time Graphs
Graphing Position, Velocity, and Acceleration Graphs
Position Functions and Instantaneous Velocity
Velocity Functions & Instantaneous Acceleration
Kinematics Equations
Vertical Motion and Free Fall
Catch/Overtake Problems
Ch 03: Motion in Two and Three Dimensions
Intro to Motion in 2D: Position & Displacement
Velocity in 2D
Acceleration in 2D
Kinematics in 2D
Position Function in 2D
Instantaneous Velocity in 2D
Instantaneous Acceleration in 2D
Intro to Relative Velocity
Intro to Projectile Motion: Horizontal Launch
Negative (Downward) Launch
Symmetrical Launch
Projectiles Launched From Moving Vehicles
Special Equations in Symmetrical Launches
Positive (Upward) Launch
Using Equation Substitution
Uniform Circular Motion
Period and Frequency in Uniform Circular Motion
Ch 04: Newton's Laws
Newton's First & Second Laws
Forces & Kinematics
Vertical Forces & Acceleration
Vertical Equilibrium & The Normal Force
Forces with Calculus
Forces in 2D
Equilibrium in 2D
Newton's Third Law & Action-Reaction Pairs
Forces in Connected Systems of Objects
Ch 05: Additional Applications of Newton's Laws
Inclined Planes
Kinetic Friction
Static Friction
Inclined Planes with Friction
Systems of Objects with Friction
Systems of Objects on Inclined Planes with Friction
Stacked Blocks
Spring Force (Hooke's Law)
Review of Uniform Circular Motion
Centripetal Forces
Vertical Centripetal Forces
Flat Curves
Banked Curves
Intro to Center of Mass
Ch 06: Work and Kinetic Energy
Intro to Energy & Kinetic Energy
Intro to Calculating Work
Net Work & Work-Energy Theorem
Work On Inclined Planes
Work By Springs
Work As Area Under F-x Graphs
Introduction to Dot Product (Scalar Product)
Calculating Dot Product Using Components
Calculating Work via Integration
Power
Instantaneous Power
Ch 07: Conservation of Energy
Intro to Energy Types
Gravitational Potential Energy
Intro to Conservation of Energy
Energy with Non-Conservative Forces
Springs & Elastic Potential Energy
Solving Projectile Motion Using Energy
Motion Along Curved Paths
Rollercoaster Problems
Pendulum Problems
Energy in Connected Objects (Systems)
Force & Potential Energy
Ch 08: Conservation of Linear Momentum
Intro to Momentum
Intro to Impulse
Impulse with Variable Forces
Calculating Impulse via Integration
Intro to Conservation of Momentum
Push-Away Problems
Types of Collisions
Completely Inelastic Collisions
Adding Mass to a Moving System
Collisions & Motion (Momentum & Energy)
Ballistic Pendulum
Collisions with Springs
Elastic Collisions
How to Identify the Type of Collision
Ch 09: Rotation
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
Moment of Inertia via Integration
Intro to Rotational Kinetic Energy
Types of Motion & Energy
Energy of Rolling Motion
Conservation of Energy with Rotation
More Conservation of Energy Problems
Conservation of Energy in Rolling Motion
Intro to Torque
Net Torque & Sign of Torque
Torque Due to Weight
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 10: Angular Momentum
Intro to Angular Momentum
Angular Momentum of a Point Mass
Angular Momentum of Objects in Linear Motion
Angular Momentum & Newton's Second Law
Conservation of Angular Momentum
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
Ch 11: Gravity
Satellite Motion: Intro
Overview of Kepler's Laws
Kepler's First Law
Kepler's Third Law
Kepler's Third Law in Elliptical Orbits
Newton's Law of Gravity
Gravitational Forces in 2D
Acceleration Due to Gravity
Satellite Motion: Speed & Period
Geosynchronous Orbits
Gravitational Potential Energy
Gravitational Potential Energy for Systems of Masses
Escape Velocity
Energy of Circular Orbits
Energy of Elliptical Orbits
Gravitational Force Inside Earth
Mass Distributions with Calculus
Black Hole
Ch 12: Static Equilibrium and Elasticity
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
More 2D Equilibrium Problems
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: Traveling Waves
Intro to Waves
Wave Functions & Equations of Waves
Velocity of Transverse Waves (Strings)
Sound Waves
Sound Intensity
The Doppler Effect
Ch 16: Superposition and Standing Waves
Wave Interference
Beats
Standing Waves
Standing Sound Waves
Ch 17: Temperature and Kinetic Theory of Gases
Temperature
Linear Thermal Expansion
Phase Diagrams, Triple Points and Critical Points
The Ideal Gas Law
Kinetic-Molecular Theory of Gases
Ch 18: Heat and the First Law of Thermodynamics
Moles and Avogadro's Number
Calorimetry with Temperature and Phase Changes
Latent Heat & Phase Changes
Advanced Calorimetry: Equilibrium Temperature with Phase Changes
Specific Heat & Temperature Changes
Heat Equations for Special Processes & Molar Specific Heats
First Law of Thermodynamics
Isothermal Processes
Ch 19: The Second Law of Thermodynamics
Heat Engines and the Second Law of Thermodynamics
Heat Engines & PV Diagrams
The Otto Cycle
The Carnot Cycle
Refrigerators
Entropy and the Second Law of Thermodynamics
Ch 20: Thermal Properties and Processes
Volume Thermal Expansion
Heat Transfer
Ch 21: The Electric Field: Discrete Charge Distributions
Electric Charge
Charging Objects
Charging By Induction
Conservation of Charge
Coulomb's Law (Electric Force)
Electric Field
Electric Fields in Capacitors
Electric Field Lines
Dipole Moment
Electric Fields in Conductors
Gauss' Law with Calculus
Ch 22: The Electric Field: Continuous Charge Distributions
Coulomb's Law with Calculus
Electric Fields with Calculus
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
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 Current and Direct-Current Circuits
Intro to Current
Current with Calculus
Resistors and Ohm's Law
Power in Circuits
Microscopic View of Current
Combining Resistors in Series & Parallel
Kirchhoff's Junction Rule
Solving Resistor Circuits
Kirchhoff's Loop Rule
Ch 26: The Magnetic Field
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 27: Sources of the 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 28: Magnetic Induction
Intro to Induction
Magnetic Flux
Magnetic Flux with Calculus
Faraday's Law
Faraday's Law with Calculus
Lenz's Law
Motional EMF
Transformers
Mutual Inductance
Self Inductance
Inductors
LR Circuits
LC Circuits
LRC Circuits
Ch 29: Alternating-Current 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 30: Maxwell's Equations and Electromagnetic Waves
Intro to Electromagnetic (EM) Waves
The Electromagnetic Spectrum
Intensity of EM Waves
Wavefunctions of EM Waves
Radiation Pressure
The Doppler Effect of Light
Ch 31: Properties of Light
Ray Nature Of Light
Law of Reflection
Snell's Law
Total Internal Reflection
Polarization & Polarization Filters
Refraction At Spherical Surfaces
Ch 32: Optical Images
Ray Diagrams For Mirrors
Mirror Equation
Ray Diagrams For Lenses
Thin Lens And Lens Maker Equations
Ch 33: Interference and Diffraction
Diffraction
Diffraction with Huygen's Principle
Young's Double Slit Experiment
Single Slit Diffraction
Ch 39: Relativity
Inertial Reference Frames
Special Vs. Galilean Relativity
Consequences of Relativity
Lorentz Transformations
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