Zak's Lab

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

Под каким углом снаряд приземлится сверху? Задача на движение снаряда!

Two blocks pulled vertically: find the maximum acceleration given breaking strength.

How to find displacement and average velocity from a velocity time graph.

Propagation of errors on a projectile motion result: find muzzle velocity from height and range.

Kinematics with two different accelerations: find the total displacement.

A small but cool vector theorem: v-w is perpendicular to v+w if v and w have the same length.

How to find the angle between two vectors given in i-hat j-hat components.

Odd function symmetry short cut: integral of x^2*tan(x) on [-1,1].

Cool periodicity trick: definite integral of x+cos(x) on 0 to pi.

Find the derivative of ln(sec(x)) using the chain rule.

How to use the chain rule: derivative of sqrt(x^2+2)

Chain rule derivative of tan(x^2+1) (derivative review problem)

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]

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!

RLC series circuit phasor analysis, impedance and phase angle. [AC circuit physics]

The capacitor voltage phasor and capacitive reactance. [AC circuit physics]

The inductor voltage phasor and inductive reactance. [AC circuit physics]

The current phasor and resistor voltage phasor [AC circuit physics]

Why the quadratic formula works: I never actually learned this in school!

Resonance in a damped oscillator: the derivation your physics book skipped over.

Day 2 electron drift simulation: partially elastic collisions, 1 free electron per atom.

I gave my calculus class a bad (but really interesting) question.

Logarithmic differentiation + derivatives of x^x and (sin(x))^x

Derivatives of logarithms with any base: d/dx(log_b(x)).

Derivative of the natural log ln(x): visual proof, actual proof & examples.