** Math 231 (section 007, CRN 20368) Spring 2022 **

** Differential Equations I **

TR 2:50−4:05 Ayres 120

** Please wear MASK in class**
** Course Information **

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** About Mathematics**
How Imaginary Numbers Were Invented, Veritasium,
excellent video, very revealing history and story, Nov.2021
**← NEW**
A New IEEE 754 Standard for Floating-Point Arithmetic in an Ever-Changing World
SIAM News, July 2021
**← NEW**
How math helps us get even better vaccines even faster,
short video, July 2021
**← NEW**
DeepXDE: A Deep LearningLibrary for Solving Differential Equations,
by Lu-Meng-Mao-Karniadakis, SIAM Review 63(1):208-228, 2021
**← NEW**
The role of applied math in real-time pandemic response,
excellent talk by Nina Fefferman (UTK), Apr.2020
DEs, a tourist guide
But what is a PDE?
But what is a Neural Network?
excellent videos by Grant Sanderson, of many at
3Blue1Brown
Timelind of Mathematics from 500BC to today, nice infographic
Pros and Cons of the Algorithm Age, Pew Research, Feb.2017
profound questions about the future...
The Map of Computer Science
and
The Map of Mathematics ,
by Dominic Walliman, 2017 (excellent videos!)
Mathematical Sciences in 2025 Nat.Academies Press 2013
... and extracted
Findings
LOGICOMIX, An epic search for truth *
told in a brilliant graphic novel, must read!*
SIAM:
Math Matters, Apply It!
Math in Our Lives Video Series
Mathematics - The Science of Patterns and Algorithms
by *Ingrid Debauchies*
Mathematics as a Key to Key Technologies (.pdf)
excellent paper by *H. Neunzert*
Mathematicians of the Day
and
Famous Scientists chronology
(from Kai Lai Chung: *Green, Brown, and Probability,*1995)

* Big Data / Data Science:*
Data Science Programs Guide for Students
Best jobs 2021: Data Science is #1
**← NEW**
Frontiers in Massive Data Analysis Nat.Academies Press 2013,
and
What Does It Take SIAM News,2013
How Google Finds Your Needle in the Web's Haystack
The $25,000,000,000 Eigenvector: The Linear Algebra behind Google
( SIAM Review 48(3):569-581, 2006)
Sparse-Land ( SIAM Review 51(1):34-81, mar2009)
*the latest glory of linear algebra*
and a tutorial
Making Do with Less: An Introduction to Compressed Sensing
( SIAM Review 55(3):547–566, sep2013)
central ideas

Jobs in the New U.S. Economy 2016-2026 :
mathematician ranks very high, 33% growth projected
Cheer up, Math/CS/Engineering are most Lucrative College Majors:
Economic Value of College Majors
SIAM Career Center
and
Careers in Applied Mathematics (SIAM brochure)
**. . .**
and some funny
occupational descriptions
Worldwide Job Market for Mathematicians
STEM Links
(excellent, includes Career Resources)
and
7 facts about the STEM workforce,
Jan.2018
STEM jobs growth 2009-2015, math jobs grew 40%, by far highest!
Jobs Rated 2014:
#1 Mathematician, #2 Professor, #3 Statistician, #4 Actuary !!!
Rankings of Mathematics Graduate Programs
(according to YOUR criteria)

.......
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