Prof Ghrist Math
this is a channel for those on the road to Mathematics.
i'm professor ghrist; you can call me prof-g. i'll be your guide, with finely-crafted video-texts.
the premiere products are Calculus BLUE, a video-text for multivariable calculus; and Calculus GREEN, for single-variable calculus (in progress).
a physical book -- Calculus Blue Guide -- is a 200 page guide full of discussion questions, exercises, answers, and more: available on Amazon at: https://www.amazon.com/Calculus-Blue-Guide-Robert-Ghrist/dp/1944655077/
there are video-matching electronic-texts for calc BLUE with exercises, custom designed for phones & laptops, are at the amazon kindle store:
https://www.amazon.com/Calculus-BLUE-Multivariable-Vectors-Matrices-ebook/dp/B019IY9G7Q
additional resources for teachers & students can be found at https://www2.math.upenn.edu/~ghrist/BLUE.html
original soundtrack by EPLIAX streaming on Amazon/Apple/Spotify/etc...
see the video at https://www.youtube.com/watch?v=ekq3jmU0wcc
CalcGREEN 2 : Ch. 6.4 : The Stability Criterion for Equilibria
CalcGREEN 2 : Ch 6.3 : Visualizing ODEs
CalcGREEN 2 : Ch. 6.2 : Types of Equilibria
CalcGREEN 2 : Ch. 6.1 : Nonlinear ODEs, oh no
CalcGREEN 2 : Ch. 5.4 : Nonlinear ODEs & Series
CalcGREEN 2 : Ch. 5.3 : Simple Harmonic Example
CalcGREEN 2 : Ch. 5.2 : Exponential Example
CalcGREEN 2 : Ch. 5.1 : Taylor Time
CalcGREEN 2 : Ch. 4.4 : So Many ODEs
CalcGREEN 2 : Ch. 4.3 : Stirred Tank Redux
CalcGREEN 2 : Ch. 4.2 : Integrating Factors
CalcGREEN 2 : Ch. 4.1 : Challenging ODEs
CalcGREEN 2 : Ch. 3.6 : Existence of Solutions
FTDA 1.6 : COMPLEXES : Metric Data
FTDA 1.5: КОМПЛЕКСЫ: Подразделение
FTDA 1.4 : COMPLEXES : Maps
FTDA 1.3 : COMPLEXES : Realization
FTDA 1.2 : COMPLEXES : Subcomplexes
FTDA 1.1 : COMPLEXES : Combinatorics
FTDA : INTRO to TOPOLOGICAL DATA ANALYSIS
CalcGREEN 2 : Ch. 3.5 : Nonautonomous Separable ODEs
CalcGREEN 2 : Ch. 3.4 : Towards Nonlinear ODEs
CalcGREEN 2 : Ch. 3.3 : Affine ODEs in Practice
CalcGREEN 2 : Ch. 3.2 : Affine ODEs and Integration