1. Chaos
2. Classical Mechanics
3. Electricity and Magnetism
4. Micrometer Caliper
5. Miscellaneous
6. Nuclear
7. Optics
8. Oscilloscope
9. Quantum Mechanics
10. Relativity
11. Sound Waves
12. Vectors
13. Waves

Maple labs 2850 Spring 2006

1. Maple Lab 1, Solving quadratics and plotting functions
   pdf document Lab 1 Spring 2006
   maple worksheet text Lab 1 Spring 2006
2. Maple Lab 2, Newton Cooling
   pdf document Lab 2 Spring 2006
   maple worksheet text Lab 2 Spring 2006

2280 Slides and Documents

1. Week 1 slides
   Three Examples, Fundamental Theorem of Calculus, Method of quadrature, Decay law derivation, Background formulae (6 pages, pdf)
   Three Examples, solved 1.2-1,2,5,8,10 by Tyson Black, Jennifer Lahti, GBG (11 pages, pdf)
   Recipes for 1st, 2nd order and 2x2 Systems of DE PDF Document (2 pages, 50kb)
   Log+exponential Background+Direction fields PDF Document (4 pages, 450k). Decay law derivation. Problem 1.2-2. Direction field examples.
   For more on direction fields, print Direction fields document (typeset, 11 pages, pdf)
2. Week 2 slides
   Picard-Lindelof and Peano Existence theory (typeset, 9 pages, pdf)
   Picard-Lindelof and Peano Existence Example, similar to 1.3-14 (1 page, pdf)
   1.4 Page 40 Exercise slides (4 pages, 500k)
   Separable Equations (typeset, 9 pages, PDF)
   Linear DE method, Section 1.5 slides: 1.5-3,5,11,33+Brine mixing (9 pages, pdf)
   Linear DE part I (Integrating Factor Method), (typeset, 8 pages, pdf)
   Linear DE part II (Variation of Parameters, Undetermined Coefficients), (typeset, 7 pages, pdf)
   How to do a maple answer check for y'=y+2x (TEXT 1k)
3. Week 3 slides
   Verhulst logistic equation (typeset, 5 pages, pdf)
   Kinetics, falling bodies, projectiles (typeset, 16 pages, pdf)
   Science and Eng Applications, Torricelli law (typeset, 15 pages, pdf)
   Phase Line and Bifurcation Diagrams (includes "Stability, Funnel, Spout, and bifurcation") (typeset, 6 pages, 161k pdf)
   ch2 sections 1,2,3 Slides: 2.1-6,16,38, 2.2-4,10, 2.3-9,27+Escape velocity (8 pages, pdf)
   ch2 Numerical Methods Slides, Exercises 2.4-5,2.5-5,2.6-5 plus Rect, Trap, Simp rules (5 pages, pdf)
   ch2 DEplot maple example 1 for exercises 2.2, 2.3 (1 page, 1k)
   ch2 DEplot maple example 2 for exercises 2.2, 2.3 (1 page, 1k)
4. Week 4 slides
   Report details on 2.4,2.5,2.6 prob 6
   Report details on 2.4,2.5,2.6 prob 12
   Numerical Solution of First Order DE (typeset, 19 pages, 220k pdf)
   Numerical DE coding hints, TEXT Document (1 pages, 2k)
   Sample Report for 2.4-3 (pdf 3 pages, 350k)
   Sample maple code for Euler, Heun, RK4 (maple worksheet)
   Sample maple code for exact/error reporting (maple worksheet)
5. Week 5 slides
   Basic Reference: First order constant coefficient recipe + theory + variation of parameters and undetermined coefficients (typeset, 11 pages pdf)
   Ch3. Constant coefficient recipe (typeset, 2 pages, pdf)
   Second order constant coefficient recipe + theory (typeset, 7 pages pdf)
   Second order variation of parameters (typeset, 7 pages pdf)
   Second order undetermined coefficients (typeset, 8 pages pdf)
   Higher order linear differential equations. Higher order recipe. Higher order undetermined coefficients. (typeset, 9 pages pdf)
   History of undetermined coefficients, Kummer's method, Table method (2k text)
   Ch3. Slides for exercises 3.1 to 3.6 (16 pages, 1.9mb pdf)
   Ignore the 3.5 examples which refer to Kummer's method or Cauchy's kernel. When edited out this message will vanish.
6. Week 6 slides
   Ch3 undetermined coeff example PDF Document (3 pages, 0,5mb)
   This is a basic undetermined coffficient example. The textbook references are to an older edition.
   Problem notes 3.4: 34 (1 page, text)
   Problem notes 3.5: 48, 52, 60 (1 page, text)
   Unforced mechanical oscillations (typeset, 8 pages pdf)
   Forced mechanical oscillations (typeset, 8 pages pdf)
   Resonance (typeset, 7 pages pdf)
7. Week 7 slides
   Matrix Exponential and Putzer's spectral formula for exp(At) [7 pages pdf]
   Ch5 Systems of DE slides 7.1,7.2,7.3 (4 pages, 0.8mb pdf)
   Recipes for 1st, 2nd order and 2x2 Systems of DE PDF Document (2 pages, 50kb)
   DE systems manuscript F2005 (typeset 66 pages, 909k pdf)

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   2280 Solved Homework Problems, Group Effort

   1. Lund, 1.1-8 (pdf)
   2. Isono, 1.1-12 (pdf)
   3. Lund, 1.1-35 (pdf)
      Schlub, 1.1-35 (pdf)
   4. Adeel, 1.1-39 (pdf)
   5. Anatoly Zharkikh, 1.3-33 (pdf)
   6. Lund, 2.1-7 (pdf)
   7. Stefanishis, 4.2-34 (pdf)
   8. Stefanishis, 4.3-10 (pdf)
   9. Stefanishis, 5.2-36 (pdf)
   10. Stefanishis, 5.3-19 (pdf)

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   Mail address:

           Grant B. Gustafson
           155 South 1400 East Rm113
           Salt Lake City, UT 84112-0090
   

   Office phone: (801) 581-6879 (ans machine after 2 rings).
   Grant Gustafson

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   Link to Department of Mathematics, University of Utah