Lectures for Math 337

1. Introduction (4-Panel) - Excel (E. coli), MatLab (E.coli) (ecoli_plot.m, sumsq_ecoli.m, ecoli_disc_plot.m, ec_disc_lst.m), Maple Commands (Maple .mw)
2. Qualitative Methods (4-Panel) -Maple Commands (Maple .mw) - Basic MatLab (murder.m, murder_plot.m) - Maple Direction Field (phase1D.mw) - MatLab Direction Field (dfield8.m) - MatLab graphing template (graph_plot.m)
   
3. Linear Equations (4-Panel) - MatLab Programming (lake2.m, lake_level.m, lake2_plot.m, fishdat.mat, sumsq_vonBert.m, vonBert_plot.m, powerfit.m, allo_plot.m, Hg_plot.m, sumsq_nonlin.m, sumsq_cubic.m, sumsq_Hg.m, sumsq_wtfish.m, wtfish_plot.m)
4. Separable Equations (4-Panel)
5. Exact and Bernoulli Equation (4-Panel)
6. Existence and Uniquess(4-Panel)
7. Numerical Methods (4-panel) - ODE Solvers (euler.m, im_euler.m, numeg.m, numeg_plot.m, numeg2.m, numeg2_plot.m, pop.m, pop_plot.m), Excel numeg.xls,
8. 2D Linear Systems A (4-panel) - MatLab System (greenhouse.m, greenh_plot.m, compet.m, pplane8, pplane.jar) - Maple System (greenh.mw) -
   
9. 2D Linear Systems B (4-panel) - Maple (sys_plots.mw)
   
10. 2D Linear Systems Appl (4-panel)
11. Second Order Differential Equations (4-panel)
12. Second Order Differential Equations: Part 2 (4-panel)
13. Laplace Transforms: Part A (4-panel) - Maple (invLaplace.mw) -Maple (laplace.mw)- Laplace Table
14. Laplace Transforms: Part B (4-panel)
15. Power Series (4-panel)

Lists of Lecture Videos and Computer Help Videos
Most videos are on unsubscribed YouTube Channels

• Allometric Models with Excel -- https://www.youtube.com/watch?v=N2ya0HJWjm8
  
• Allometric Models with MatLab -- https://www.youtube.com/watch?v=MRPHufnpHnM
  
• Nonlinear Models with Excel -- https://www.youtube.com/watch?v=oYVvz2-6Bis
  
• Nonlinear Models with MatLab -- https://www.youtube.com/watch?v=wLOcVUCj_14
  
• 2D Linear Systems B -- https://youtu.be/XR9jK5iY8kg
• 2D Linear Systems Applications --https://youtu.be/pXriSOisO5g
• 2D Linear Systems Applications b --https://youtu.be/k9zSlX5LFF8
• Second Order ODEs - Undetermined Coefficients --https://youtu.be/47AbWI1R2z4
• Second Order ODEs - Undetermined Coefficients (Part 2) --https://youtu.be/YmTM-Bwqmro
• Second Order ODEs - Cauchy-Euler Equations --https://youtu.be/7JzIzDOXHWk
• Second Order ODEs - Variation of Parameters --https://youtu.be/7eCcWwcJ5BY
• Laplace Transforms - Introduction --https://youtu.be/kBPndlCrTjo
• Laplace Transforms - Solving ODEs and Maple --https://youtu.be/PqaGFUGhSCk
• Laplace Transforms - Step Function and Discontinuous forcing --https://youtu.be/H6aKTxNmgzw
• Laplace Transforms - Periodic and Dirac delta functions --https://youtu.be/YBmXMVeJASw
• Power Series Solutions to ODEs --https://youtu.be/jjhoIbs6aBQ

Additional Resources

There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your written assignments.

Matlab:

• A practical introduction to Matlab (HTML, PDF)
• MathWorks - Getting Started and Overview links
• Other Overviews - University of Dundee,
• Matlab Help
• Matlab GUI for differential equations: dfield8 and pplane8.
• MatLab from Lectures
  
• Basic MatLab (murder.m, murder_plot.m) - Introduction to MatLab
• MatLab Programming (lake2.m, lake_level.m, lake2_plot.m, fishdat.mat, sumsq_vonBert.m, vonBert_plot.m, powerfit.m, allo_plot.m, Hg_plot.m, sumsq_allom.m, sumsq_cubic.m, sumsq_Hg.m, sumsq_wtfish.m, wtfish.m)
• ODE Solvers (euler.m, im_euler.m, numeg.m, numeg_plot.m, numeg2.m, numeg2_plot.m, pop.m, pop_plot.m)

Maple:

• Maple Workshop notes
• Maple from Lectures
• Maple Commands - Introduction (Maple .mw)
• Maple Phase Plots (Maple .mw)