Professor Dave Explains

We just looked at some simple ways to solve systems of differential equations, via modeling and elimination. But there are other methods, some of which involve matrices. This will require that we remember some concepts from linear algebra, so let's dive into it!

Script by Lorcan Nicholls

Watch the whole Differential Equations playlist: http://bit.ly/ProfDaveDiffeq
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath

Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
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We know a lot about functions now, so let's look at some special cases where functions get weird and jump around.

Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath

Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

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Why do some things dissolve in water while others don't? Is a supersaturated solution just a beaker with a cape? Let's talk about solubility, the Born-Haber cycle, and more!

Watch the whole General Chemistry playlist: http://bit.ly/ProfDaveGenChem

Study for the AP Chemistry exam with me: https://bit.ly/ProfDaveAPChem

Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

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The podcast bro space is destroying human civilization. People like Joe Rogan and his copycats consistently platform a string of grifting frauds whose lies poison public perception of science. This has culminated in the public welcoming the Trump administration, which between the supreme orange leader and evil henchman RFK Jr., are completely obliterating the American scientific community. Budgets have been slashed, federal institutions have been purged of anyone who will not bow down to the new state-sanctioned disinformation narrative, vaccine-preventable diseases are killing children once more, and everything is a mess. How can we get through to the brainwashed masses that exclusively gather their worldview from the frauds on these shows? What if we can invade their space! Well I managed to do that. I went on the Danny Jones podcast. How did it go? Let me tell you all about it!

My Danny Jones episode: https://www.youtube.com/watch?v=GBlvdZGPATg

Watch my other debunks/debates/discussions: http://bit.ly/ProfDaveDebunk

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn

Learn more about your ad choices. Visit megaphone.fm/adchoices

Now those pesky moles are swimming! But how much solute is there? Let's learn about how we measure concentrations of solutions, and how to perform dilution calculations.

Watch the whole General Chemistry playlist: http://bit.ly/ProfDaveGenChem

Study for the AP Chemistry exam with me: https://bit.ly/ProfDaveAPChem

Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

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With the early Byzantine Empire understood from the perspective of its military and political affairs, let's check out its organization, economy, and religion. This entailed a lot of drama, with religious debates regarding iconoclasm and the nature of the trinity. Let's check it out!

Script by Peter Wyetzner

Watch the whole World History playlist: http://bit.ly/ProfDaveWorldHistory

American History Tutorials: http://bit.ly/ProfDaveAmericanHistory
Italian Tutorials: http://bit.ly/ProfDaveItalian
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn

Learn more about your ad choices. Visit megaphone.fm/adchoices

What are electrolytes? Yes, they're what plants crave. But they are also ionic solids dissociated in solution, such that they can conduct electrical current. Learn about solutions!

Watch the whole General Chemistry playlist: http://bit.ly/ProfDaveGenChem

Study for the AP Chemistry exam with me: https://bit.ly/ProfDaveAPChem

Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

Learn more about your ad choices. Visit megaphone.fm/adchoices

Just like any other science, forensic science is based on principles and laws. These are the law of individuality, the law of progressive change, Locard's law of exchange, the law of probability, the principle of comparison, and the principle of analysis. What do these mean, and how do they guide crime scene investigation? Let's find out!

Script by Kuldeep Kawar

Watch the whole Forensic Science playlist: http://bit.ly/ProfDaveForensic

Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology/Genetics Tutorials: http://bit.ly/ProfDaveBio
Pharmacology Tutorials: http://bit.ly/ProfDavePharma
Psychology Tutorials: http://bit.ly/ProfDavePsych

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn

Learn more about your ad choices. Visit megaphone.fm/adchoices

We know that we are made of cells. But we start out as just one tiny little cell in the womb. How does that become enough cells to look like a baby? And how does that baby get enough cells to become an adult? The answer is mitosis! This is how cells divide to produce new cells with all the DNA for that organism. How does this work? Let's find out!

Watch the whole Biology/Genetics playlist: http://bit.ly/ProfDaveBio

General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Anatomy & Physiology Tutorials: http://bit.ly/ProfDaveAnatPhys
Biopsychology Tutorials: http://bit.ly/ProfDaveBiopsych
Microbiology/Infectious Diseases Tutorials: http://bit.ly/ProfDaveMicrobio
Pharmacology Tutorials: http://bit.ly/ProfDavePharma

History of Drugs Videos: http://bit.ly/ProfDaveHistoryDrugs

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

Learn more about your ad choices. Visit megaphone.fm/adchoices

Mothers go through all kinds of changes during pregnancy and after the birth of their child, in terms of hormones and broader psychological changes. But what about fathers? Do their brains change? When and how? Can we compare biological factors with sociological and anthropological ones? Darby Saxbe is a USC psychologist who wrote a book on this very topic. Let's chat with her and learn all about it!

Order Darby's book here: https://www.darbysaxbe.com/dadbrain

Check out my biopsychology tutorials: http://bit.ly/ProfDaveBiopsych
Check out my psychology tutorials: http://bit.ly/ProfDavePsych

Watch my other debunks/debates/discussions: http://bit.ly/ProfDaveDebunk

EMAIL► [email protected]
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn

Learn more about your ad choices. Visit megaphone.fm/adchoices