DAVID LIAO.COM

I have tutored for over 2000 hours since 2013. I have tutored students from Ridge, Bernards HS, BRHS, WHRHS, Millburn HS, Pingry, Gill St. Bernards, Rutgers, and Barnard College.

PhD Physics, Princeton University

BS Physics, Harvey Mudd College

Physics GRE: 990 (2004 Nov)

I am local to zip codes 07924, 07921, 07920, 07978, and 08807. Student keeps fixed hourly rate until the first semester s/he is no longer enrolled at the school s/he attended when lessons began. There is no cancellation fee. If cancellations (especially cancellations with shorter than 24-hr notice) become excessive, lessons will discontinue. **Integrity:** I will not provide assistance on any exam without written permission from the classroom instructor.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Attribute by leaving the URL davidliao.com intact in each handout you share.
© Copyright 2016 David Liao.

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Lists of physics and calculus reference sheets are periodically updated on this page. Scroll toward the right or jump to a section using the table of contents below.

- Make AP Physics cribsheets
- Create AP Physics 1/2 problems
- AP Physics 1
- AP Physics 2
- SAT Physics
- AP Physics C Mechanics
- AP Physics C Electricity & Magnetism
- Make AP Calculus cribsheets
- AP Calculus AB
- AP Calculus BC

A real-time copy of all tutoring handouts is available via DropBox.

T.2 AP Physics 1 & 2 Problem scenario maker.pdf

T.3 AP Physics 1 Problem categorization.pdf

1.2 Kinematics graph interpretation.pdf

1.2.1 Kinematics graph interpretation worksheet.pdf

1.3 Kinematics 1-d instructions.pdf

1.3.1 Kinematics 1-d worksheet.pdf

2.1 Vectors.pdf

2.2 Kinematics 2-d instructions.pdf

2.3 Kinematics 2-d worksheet.pdf

3.1 Forces figures.pdf

3.2 Force and Newton's laws cribsheet.pdf

3.3 Spring force.pdf

3.4 Forces worksheet.pdf

3.5 Drag force.pdf

4.1 UCM cribsheet.pdf

4.2 UCM aIN deriv.pdf

4.3 UCM Forces worksheet.pdf

4.4 Gravitation.pdf

4.5 Elliptical orbits.pdf

5.1 Work done by a force.pdf

5.2.1 Potential energy.pdf

5.2.3 Spherical symmetry and potential energy functions.pdf

5.3 Non-conservation laws.pdf

5.4 Parallels energy momentum.pdf

5.5 Energy conservation worksheet.pdf

6.1 Impulse delivered by a force.pdf

6.2 Momentum conservation worksheet.pdf

6.3 Types of collisions.pdf

6.4 Opt Momentum transfer.pdf

7.1 Center of mass cribsheet.pdf

8.1 Rotational kinematics and dynamics cribsheet.pdf

8.2 Torque concept.pdf

8.3 Torques and forces worksheet.pdf

8.4 Angular momentum conservation worksheet.pdf

10.1 SHO cribsheet.pdf

10.2 SHO Ignoring gravity.pdf

10.3 SHO Graphs.pdf

10.4 Resonance.pdf

11.1.1 Waves.pdf

11.2 Speed of wave on string.pdf

12.1 Electric charge and force.pdf

12.2 Charge transfer worksheet.pdf

12.3.1 Electric potential.pdf

12.4 Current.pdf

12.5 DC (equilibrated) operation.pdf

12.6 Laboratory precautions and measurements for DC circuits.pdf

12.7 DC Circuit heuristic steps.pdf

7.3 Fluid mechanics.pdf

7.4 Kinetic theory of ideal gas.pdf

11.1.2 Waves continued.pdf

12.3.2 Electric fields and potentials.pdf

12.8 Capacitors.pdf

13.1 Magnetism.pdf

13.2 Magnetism in materials.pdf

13.3 Mass spectrometer.pdf

14.1 Electromagnetism.pdf

15.1 Physical (wave) optics.pdf

16.1 Geometric (ray) optics.pdf

16.2 Specular and diffuse reflection.pdf

16.3 Raytracing to determine visibility.pdf

16.4 Mirror and lens ray approximations.pdf

16.5 Light interrupted.pdf

16.6 Snell's law.pdf

16.7 Total internal reflection.pdf

17.1 Quantum physics.pdf

17.2 Subatomic physics.pdf

18.1 Thermo first law.pdf

18.2 Thermo second law.pdf

5.2.2 Thermal expansion.pdf

5.4 Heat engines.pdf

6.2 Special relativity.pdf

6.3 Special relativity steps.pdf

15 Polarization.pdf

(Supplements to mechanics reference sheets for AP Physics 1).

1.1 1-d Kinematics describe calc.pdf2.1 Vectors for AP Phy C.pdf

2.2 2-d Kinematics calc tiles.pdf

3.2 Force and Newton's laws cribsheet.pdf

4.1 Circular motion cribsheet.pdf

4.3 Circular motion forces worksheet.pdf

5.1.2 Work done along a path.pdf

5.2.2 Potential energy landscapes calc.pdf

5.4 Parallels energy momentum.pdf

6.2 Momentum conservation worksheet.pdf

7.2 Mass-averaging over continuous mass distributions.pdf

8.1 Rotational kinematics and dynamics cribsheet.pdf

8.4 Angular momentum conservation worksheet.pdf

A.1 Spatial integrals for AP Physics C Mech.pdf

E1.1.1 Charge transfer worksheet.pdf

E1.2 Electric fields and potentials with calculus.pdf

E1.3 Conductors near equilibrium.pdf

E1.4 Gauss's law.pdf

E1.5 Capacitors.pdf

E2.1.1 Current.pdf

E2.1.2 DC (equilibrated) operation.pdf

E2.1.3 Laboratory precautions and measurements for DC circuits.pdf

E2.2 Informal and formal circuit analysis.pdf

E2.3 RC Charging.pdf

E2.3.1 Mnemonic for exponential decays.pdf

E2.4 Electromotive force.pdf

M1.1 Magnetism with calculus.pdf

M1.2 Magnetism in materials.pdf

M1.3 Solenoids.pdf

M1.4 Mass spectrometer.pdf

N1.1 Electromagnetism.pdf

N1.2 Inductors.pdf

N1.3 LR Increasing current.pdf

N1.4 LC and RLC.pdf

N2.1 Maxwell's equations.pdf

1.3 Calculating limits.pdf

1.4 Continuity and IVT.pdf

2.1 Derivatives.pdf

2.2.1 Derivatives of circle functions intuitive.pdf

2.2.2 Derivatives of circle functions.pdf

2.3 l'Hospital's rule.pdf

2.4 Extrema.pdf

2.5 Rolle & MVT.pdf

2.6 Derivative tests.pdf

2.7 Curve sketching.pdf

2.8 Related rates & Optimization.pdf

3.1 Definite integrals and area.pdf

3.2 RAM.pdf

3.2.2 TAM.pdf

3.2.3 Integration table.pdf

3.3.1 Fundamental theorem of calculus.pdf

3.3.2 Fundamental theorem of calculus flashcard.pdf

3.3.3 Fundamental theorem of calculus keeping track.pdf

3.4 Derivatives and integrals in kinematics.pdf

3.5.1 Using integrals for areas.pdf

3.5.2 Using integrals for volumes.pdf

4.1 Derivatives inverse functions.pdf

4.2 Exponentials and logarithms.pdf

5.1 IVPs and DEs.pdf

(Supplement for AB packet)

2.1 Integration by parts.pdf2.2 Partial fractions and intro logistic growth.pdf

2.3 Improper integrals.pdf

2.4 Euler method.pdf

3.1 Parametric.pdf

3.2 Arc lengths and surfaces of revolution.pdf

3.3 Polar calculus.pdf

4.2 Series, tests, and remainders.pdf

4.3 Common Taylor series.pdf

4.4.1 Series calculus tricks Recognize summation.pdf

4.4.2 Series calculus tricks Obtaining series.pdf