Math 231 (section 007, CRN 20368)  Spring 2022

Differential Equations   I
  TR 2:50−4:05   Ayres 120

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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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