Math Warmup for Physical Chemistry
Much of physical chemistry comes down to explaining how chemistry works through the lens of physics, and that requires quite a bit of mathematics from a wide variety of sub-disciplines of mathematics! This video goes over many of these concepts, including examples of each.
This video is part of my Quantum Mechanics for Physical Chemistry playlist: • Quantum Mechanics
In this video, I teach some of the concepts using freely downloadable GUIs (graphical user interfaces), which I have created for this purpose. The GUIs can be downloaded from my website under "Teaching Tools":
https://gianmarc.com/
I'll add timestamps for the various topics here:
0:00 - intro
1:49 - lecture begins
3:05 - units and measurements
5:28 - fundamental vs. derived units
11:13 - what are functions?
13:09 - translating and scaling a parabola (lesson incorporates a GUI)
18:11 - derivatives (lesson incorporates a GUI)
26:25 - integrals (lesson incorporates a GUI)
34:17 - common mathematical relationships
35:15 - common derivatives
37:14 - the chain law for derivatives
42:58 - the product rule for derivatives
44:05 - integration by parts
49:03 - vector basics
52:18 - vector dot product
54:34 - matrix multiplication on a vector
56:33 - unit vectors
59:27 - operators
1:00:46 - rotation matrix as an operator
1:02:36 - the differential operator
1:03:57 - the gradient operator
1:08:59 - outro