Physics and Math with an emphasis on WHY!

My name is Zak Hannan, and I'm a college professor of physics and mathematics with 20 years of full-time teaching experience.

Zak's Lab is a physics and calculus instruction channel with hundreds of short lecture and example videos produced to flip my courses, and it is also an excellent resource for physics and math self-study.

Currently, my channel covers the following college and AP high school courses:

College Physics I and II (trigonometry based)/AP high school physics.
Engineering Physics I and II (calculus based).
Calculus I/AP high school calculus.
Calculus II

Browse dozens of playlists organized into the corresponding college course category. To see the full collection of playlists, please click the playlists button, as they do not all appear on the cover page.

Thanks for watching! -- Zak



Power and the power factor in the series RLC circuit [AC circuit physics]
14:57
Power and the power factor in the series RLC circuit [AC circuit physics]
Power in AC circuit elements - full calculus derivations with phasors [AC circuit physics]
17:38
Power in AC circuit elements - full calculus derivations with phasors [AC circuit physics]
RMS values for current and voltage - full calculus derivation [AC circuit physics]
19:26
RMS values for current and voltage - full calculus derivation [AC circuit physics]
But where does dy/dx come from? Implicit differentiation is really just the chain rule!
7:04
But where does dy/dx come from? Implicit differentiation is really just the chain rule!
RLC series circuit phasor analysis, impedance and phase angle. [AC circuit physics]
14:26
RLC series circuit phasor analysis, impedance and phase angle. [AC circuit physics]
Visual AC circuit physics: how phasors generate voltage waveforms in an RLC circuit.
0:30
Visual AC circuit physics: how phasors generate voltage waveforms in an RLC circuit.
The capacitor voltage phasor and capacitive reactance. [AC circuit physics]
9:06
The capacitor voltage phasor and capacitive reactance. [AC circuit physics]
The inductor voltage phasor and inductive reactance. [AC circuit physics]
6:36
The inductor voltage phasor and inductive reactance. [AC circuit physics]
The current phasor and resistor voltage phasor [AC circuit physics]
7:29
The current phasor and resistor voltage phasor [AC circuit physics]
Why the quadratic formula works: I never actually learned this in school!
8:07
Why the quadratic formula works: I never actually learned this in school!
Resonance in a damped oscillator: the derivation your physics book skipped over.
24:01
Resonance in a damped oscillator: the derivation your physics book skipped over.
Underdamped driven oscillator 4K physics animation.
0:55
Underdamped driven oscillator 4K physics animation.
Day 2 electron drift simulation: partially elastic collisions, 1 free electron per atom.
1:14
Day 2 electron drift simulation: partially elastic collisions, 1 free electron per atom.
Day 1 electron drift simulation: one electron, elastic collisions.
0:35
Day 1 electron drift simulation: one electron, elastic collisions.
I gave my calculus class a bad (but really interesting) question.
7:59
I gave my calculus class a bad (but really interesting) question.
Logarithmic differentiation + derivatives of x^x and (sin(x))^x
5:51
Logarithmic differentiation + derivatives of x^x and (sin(x))^x
Derivatives of logarithms with any base: d/dx(log_b(x)).
5:44
Derivatives of logarithms with any base: d/dx(log_b(x)).
Derivative of the natural log ln(x): visual proof, actual proof & examples.
4:54
Derivative of the natural log ln(x): visual proof, actual proof & examples.
How to find the derivative of b^x + chain rule examples.
5:36
How to find the derivative of b^x + chain rule examples.
Where does e actually come from? Deriving a limit definition of e and more!
12:09
Where does e actually come from? Deriving a limit definition of e and more!
Learn implicit differentiation in three examples! Finding slopes of implicit curves.
11:42
Learn implicit differentiation in three examples! Finding slopes of implicit curves.
Electric potential of a uniformly charged rod (electric potential integral and electric field).
9:16
Electric potential of a uniformly charged rod (electric potential integral and electric field).
Gauss' Law in dielectrics + spherical capacitor with dielectric.
16:34
Gauss' Law in dielectrics + spherical capacitor with dielectric.
Using the chain rule like a pro! The easy way to chain rule + 4 examples.
9:45
Using the chain rule like a pro! The easy way to chain rule + 4 examples.
Proof of the chain rule, and an example (derivative of sin(x^2))
7:10
Proof of the chain rule, and an example (derivative of sin(x^2))
Derivation of electric field energy density with a dielectric.
3:18
Derivation of electric field energy density with a dielectric.
Dielectrics, induced electric field, induced surface charge and permittivity + example.
14:52
Dielectrics, induced electric field, induced surface charge and permittivity + example.
Proof: the power rule works for negative exponents + examples.
5:53
Proof: the power rule works for negative exponents + examples.
Proof that conductors are equipotentials (in electrostatics).
3:50
Proof that conductors are equipotentials (in electrostatics).
Proof that electric field is perpendicular to equipotential curves.
4:18
Proof that electric field is perpendicular to equipotential curves.