M518 - Alexiades - UTK/Math

Math 518 - Fall 2024 - Alexiades
ASSIGNMENTS
Labs are due by midnight of Due Date

*Assignment*	*Due Date*	*Description*
Lab1	S Aug 23	Warmup programming and plotting
Lab2	W Aug 27	Newton solver
read § 1		about Applied/Industial Math
Lab3	S Sep 6	Roots, free software
Lab4	W Sep 10	Roots and Equilibria
HW 1	—	practice on Euler schemes
Lab5	S 13 Sep	Euler scheme
Project1	R 9 Oct	Project1: Single-size crystals
Lab6	R 25 Sep	Euler scheme for systems
HW 2	—	solving ODEs analytically
HW 3	R 23 Oct	similarity solution for diffusion
Lab 7	W 29 Oct	Explicit scheme for Diffusion
Project2	R 20 Nov	Crystals of 2 sizes
Lab 8	W 26 Nov	Advection - Diffusion

*Assignment*	*due*	*Description*

Important Dates

Sep 1: Submit topic(s) for Team-Project (by email with Subject: TeamProject topics)

Sep 15: Submit a Team-Project title, short description

Oct 1: Submit Team-Project proposal

Nov 1: Submit a rough draft of Team-Project Report

Dec 2: (last class) Submit the Team-Project Report

Dec 10: Team-Project presentations, during final exam period, 1-3pm

Lecture Notes:
1. roots-Newton.pdf 2. crystal-precip.pdf 3. ODEs.pdf 4. single-size.pdf
5. Euler-scheme.pdf 6. errors.pdf 7. N-sizes.pdf 8. Euler-systems.pdf
9. chemReactions.pdf 10. AI-ML-NN-DNN.html
11. PDEbk-ch00.pdf 12. classfication.pdf
13. FV-mesh.pdf 14. FV-discr-BCs.pdf 15. CFL-code.pdf 16. erfSol.pdf
17. advection.pdf 18. adv-diff.pdf 19. adv-consistency.pdf
20. 2D-scheme.pdf 21. 2D-CFL.pdf
22. solvable.pdf
23. sts.CNME96.pdf 23. sts.pdf
24. approx.p1-5.pdf 25. approx.p6-9.pdf

Handouts: 0. About roundoff

Supplementary (enrichment) materials:

The Future of AI, Nature, 14 Nov.2025, videos of 6 AI leaders/experts opinions, profound, must watch!

Learning to Code Still Matters in the Age of AI IEEE Spectrum, Oct.2025 (...an optimistic view...)

What Exactly Are A.I. Companies Trying to Build? NYT, Sep.2025 local copy

Artificial Intelligence and the Future of Work National Academies Report, Nov.2024

How close is AI to human-level intelligence? Nature News, Dec.2024

timings of 17 ODE solvers (talk slides on laser ablation)

FFT: The 60-Year Old Algorithm Underlying Today’s Tech IEEE Spectrum, Aug.2025

Solving ODEs by Heng Li, 2009

Teams and their Projects - Fall 2025

Team A: Brophy, Joyner, Oyedeji : Examining Dynamics of Phosphorus in Lakes

Team B: Hartvig, McMullan-Gunsolus, Ramirez : Optimizing Rush Hour Traffic around ORNL

Calendar: Fall 2025 (Aug 18 - Dec 2) (if not aligned, use Firefox or Opera or Edge browser)

  
          August                  September               October
   Su Mo Tu We Th Fr Sa    Su Mo Tu We Th Fr Sa    Su Mo Tu We Th Fr Sa
                               1  2  3  4  5  6              1  2  3  4
                            7  8  9 10 11 12 13     5  6  7  8  9 10 11
                           14 15 16 17 18 19 20    12 13 14 15 16 17 18
      18 19 20 21 22 23    21 22 23 24 25 26 27    19 20 21 22 23 24 25
   24 25 26 27 28 29 30    28 29 30                26 27 28 29 30 31

                    November                  December
              Su Mo Tu We Th Fr Sa      Su Mo Tu We Th Fr Sa
                                 1          1  2  3  4  5  6
               2  3  4  5  6  7  8       7  8  9 10
               9 10 11 12 13 14 15 
              16 17 18 19 20 21 22
              23 24 25 26 27 28 29

Cvs