A Handbook of Mathematical Methods and Problem-Solving Tools for Introductory Physics

PRELIMS.pdf
	About the authors
		Joshua F Whitney and Heather M Whitney
CH001.pdf
	Chapter 1 Introduction
CH002.pdf
	Chapter 2 Kinematics
		2.1 Equations needed with symbols defined
		2.2 Understanding the equations
		2.3 Keeping the signs straight
		2.4 Motion in two dimensions: relating x and y
		2.5 Summary and important notes
CH003.pdf
	Chapter 3 Newton’s laws
		3.1 Applying the first law
		3.2 Applying the second law
		3.3 Applying the third law
		3.4 Examples
			Applying the first and second laws
			Applying the third law
			Applying all three laws together
		3.5 Summary and important notes
CH004.pdf
	Chapter 4 Energy and momentum
		4.1 Energy
		4.2 Example
		4.3 Momentum
		4.4 Types of collisions
		4.5 Summary and important notes
CH005.pdf
	Chapter 5 Circular and rotational motion
		5.1 Centripetal force
		5.2 Torque
			5.2.1 Moment of inertia
		5.3 Waves
		5.4 Oscillations
			5.4.1 Wavelength and period (λ, T, or τ)
			5.4.2 Frequency (f or ν)
			5.4.3 Angular frequency (ω)
			5.4.4 Wave number (k)
			5.4.5 Phase angle (ϕ)
			5.4.6 Quick reference guide for descriptions of oscillations
		5.5 Traveling waves
		5.6 Standing waves and boundary conditions
CH006.pdf
	Chapter 6 Basic optics
		6.1 Diffraction and interference
		6.2 Thin lenses
		6.3 Summary and important notes
CH007.pdf
	Chapter 7 The right-hand rule
		7.1 How to use it properly
		7.2 Special case of magnetic fields from currents
		7.3 Summary and important notes
CH008.pdf
	Chapter 8 Electric fields and electric potential
		8.1 Finding fields and forces from point charges
			8.1.1 Electric field integrals
		8.2 Electric potential from point charges
		8.3 Summary and important notes
CH009.pdf
	Chapter 9 Magnetic fields
		9.1 Biot–Savart law
			9.1.1 Right-hand rule for magnetic fields
			9.1.2 Calculations with the Biot–Savart law
			Example 1
			Example 2
		9.2 Magnetic forces
			Example 3
		9.3 Trigonometry for electric and magnetic field integrals
			Example 4
		9.4 Induced currents: Faraday’s and Lenz’s law
			Example 5
CH010.pdf
	Chapter 10 Circuits
		10.1 Ohm’s law
		10.2 Kirchhoff’s loop and junction laws
			10.2.1 Loop law: the sum of the potential differences around a closed circuit is zero
			Example 6
			10.2.2 Junction law: the sum of all currents into a junction must be equal to the sum of the currents out of the junction
			Example 7
		10.3 Summary and important notes
CH011.pdf
	Chapter 11 Modern physics
		11.1 Relativity
			11.1.1 Time dilation
			11.1.2 Length contraction
			11.1.3 Lorentz velocity transformations
		11.2 Quantum mechanics
			11.2.1 The photoelectric effect
			11.2.2 Electron transitions
			11.2.3 Wavefunctions and probability
		11.3 Brief aside on energy equations
		11.4 Summary and important notes
CH012.pdf
	Chapter 12 General problem-solving tips
		12.1 Break the problem down into as small pieces as possible
		12.2 Write down everything you have and what you are trying to find
		12.3 Check units
		12.4 Pull all the 10n factors out of your calculation before putting it in your calculator
		12.5 Practice algebra
		12.6 Keep everything symbolic as long as possible
		12.7 Electron volts