UTK - Math 475 - Spring 2022
Industrial Mathematics & Modeling
TR 4:30-5:45, Ayres 121
Qualifies for the Interdisciplinary Graduate Minor in Computational Science (IGMCS) program

  •   Course Announcement   (printable PDF)   ( comments from former students)
  •   Course Syllabus
  •   Term/Team Project
  •   Guide for preparing Project Reports
  •   Guide for preparing a proposal

  • Math Modeling: Computing and Communicating SIAM 2018
  • MathModels.org
  • PICmath case studies
  • NASA Computational Case Studies
  • Maths for Planet Earth (school-level, but some could be developed into projects)
    The ASSIGNMENTS were here

    Ten Commandments of Computer Ethics
    "The nice thing about computers is that they will do exactly what you tell them to do.
    Unfortunately, they will do it exactly, so you need to get your instructions exactly right."
                      --David J. Eck, The Most Complex Machine, p.173
    "A computer lets you make more mistakes faster than any invention in human history,
    with the possible exception of handguns and tequila."
                      -- Mitch Ratliffe, Technology Review, Apr. 1992

  • DeepMind AI invents faster matrix multiplication algorithms Oct.2022 ← NEW
  • Hybrid modeling: towards the next level of scientific computing in engineering J.Math.Industry, 2022 ← NEW
  • Matrix multiplication speed record achieved n2.3728596, Quanta Magazine, Mar.2021
  • How to get started in quantum computing, Nature, Mar.2021
  • Ten computer codes that transformed science, Nature Feb.2021: Fortran compiler #1!
  • Machine Learning and Computational Mathematics Weinan E, Commun. Comput. Phys., 28:1639-1670, 2020
  • Numbers limit how accurately digital computers model chaos Phys.org, Sep.2019
  • Tech degree advantages , Feb.2016 ...applies best to math+computing!  
  • Gravity waves exemplify the power of intelligent equations , ScienceNews, Feb.2016
  • Jobs Rated 2019 : #1 Data Scientist, #2 Statistician, #3 Professor, #8 Mathematician !!!
  • How-To Essentials (unix,vi,zip,Xwindows,gnuplot,f77,WWW) PDF for printing
  • Linux cheat sheet , very extensive, more than you really need...
  • gnuplot basics ,   a short intro ,   gnuplot FAQ,   the gnuplot site   and   gnuplot for win32
    gnuplot - How to print ,    gnuplot - On the fly (on unix/Linux)  and  template (for win or linux)

  • WSL_ubuntu (setup instructions) simplest way to have Linux on Windows10   ← NEW
  • VirtualBox next best way to have Linux on Mac or Win   instructions and set up shared folder
  • tcsh shell in Linux: setup-tcsh
  • A matlab clone GNU Octave   available for all platforms (free!)
  • An even better super-matlab FreeMat   for all platforms (free!)
  • Fortran and C compilers for linux/windows/mac: gfortran   gcc   (free!)
  • zip archive/compress for win32/64 (zip/unzip entire folders): 7-Zip   (free!)
  • VI editor vim ,   most powerful editor, available for all platforms (free!)   vi_QuickGuide.pdf
  • Postscript viewer: GSview for win32 (for .ps files) (free!)
  • Remote login tools for win: PuTTY and PSCP   or:   openSSH   or:   SSH Tunnel   (free!)
  • X Windows on your PC:   Xming   or   NX Free   ...but best is   WSL for Win10 or VirtualBox !
  • LaTeX help 1.1
  • UTK computer and email accounts , in particular Linux/Volweb accounts
  • UTK-ORNL Joint Institute for Computational Sciences (JICS)
  • Interdisciplinary Graduate Minor in Computational Science (IGMCS)
  • Research and Education in Computational Science and Engineering SIAM Review, Sep 2018 ( excellent overview of the field)
  • Thoughts about Mathematical Modeling(.pdf) by A. Neumaier,   and a nice overview of Numerical Analysis(.pdf) by A. Iserles
  • Some useful shell scripts, in particular tcsh setup
  • Some useful aliases and how to set them up
    About Mathematics
  • In AI, is bigger always better? Nature, Mar.2023, profound issues about Generative AI, LLMs ← NEW
  • Illustrating the Impact of the Mathematical Sciences nice! ← NEW
  • How Imaginary Numbers Were Invented, Veritasium, excellent video, very revealing history and story, Nov.2021
  • A New IEEE 754 Standard for Floating-Point Arithmetic in an Ever-Changing World SIAM News, July 2021
  • DeepXDE: A Deep LearningLibrary for Solving Differential Equations, by Lu-Meng-Mao-Karniadakis, SIAM Review 63(1):208-228, 2021
  • 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
  • Timeline 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!)
  • 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
  • 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)
  • 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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