Grant Gustafson at math.utah.edu

2280 4:30pm Spring 2006
Updated: Mon May 8 07:59:21 MDT 2006
  1. Grades posted 9 May. Waiting for error reports by email.
  2. Semester Records link for 2280-2 S2006
    Electronic records for 2280-2 4:30pm S2006 [5 May 2006]
  3. Exam keys for exams 1,2,3 and final exam available.
  4. Sample exam 3 available 17 April. Exam date 27 April.
  5. Sample final exam available 17 April. Exam date 2 May.

Intro Differential Equations 2280 S2006

2280 meets in LCB 222 4:30pm


2280 4:30pm Due Dates Spring 2006

  1. 2280 [4:30pm] due dates for submitted work
    Due dates updated daily
  2. 2280 [4:30pm] Gradesheet with assignments.
    Gradesheet pdf (26k)

2280 4:30pm Midterm Exams Spring 2006

Updated: Thu Feb 2 18:52:16 MST 2006
  1. Midterm 1 for 2280 4:30pm Spring 2006
    S2006 Sample Midterm 1, Exam date Feb 9 (pdf).
    Solution Key for 2280 4:30 Midterm 1 Spring 2006
    Similar exams from previous 2250 courses, same topics
    S2005 Sample 2250 Midterm 1, Exam date Feb 16 [old] (pdf).
    S2005 Solution Key for 2250 7:30 Midterm 1 Spring 2005 [old]
    S2005 Solution Key for 2250 10:45 Midterm 1 Spring 2005 [old]
    Solution Key for 2250 7:30 Midterm 1 Fall 2005 [old]
    Solution Key for 2250 10:45 Midterm 1 Fall 2005 [old]
  2. Midterm 2 for 2280 4:30pm Spring 2006
    S2006 Sample Midterm 2 with answers and solution outlines, Exam date March 30 (pdf).
    Solution Key for 2280 4:30 Midterm 2 Spring 2006
  3. Midterm 3 for 2280 4:30pm Spring 2006
    S2006 Sample Midterm 3, Exam date April 27 (pdf).
  4. Sample Final Exam for 2280 4:30pm Spring 2006
    S2006 Sample Final Exam, Exam date May 2, 4:30-8:00pm (pdf).
    Solution Key for 2280 4:30 final exam Spring 2006 [2 May 2006]

  1. Gustafson's 2280 4:30pm course syllabus Spring 2006
    pdf postscript syllabus (90k)
    Differential Equations, Edwards-Penney 3rd Edition 2005
    Print locally or use Adobe AcroRead [acrobat reader]
  2. Gustafson's 2280 gradesheet Spring 2006
    pdf postscript gradesheet (26k)
  3. 2280 format for submitted work
    How to improve your written work

FLASH Animations of applications

  • The physics animations in the link below [85 animations] were written by David M. Harrison, Dept. of Physics, Univ. of Toronto. They are Copyright 2002 - 2006 David M. Harrison.
    Harrison's physics animations
    The areas covered in the 85 animations appear below. A high percentage of them touch the subject matter of this course.
    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

    Updated: Wed Jan 18 10:21:42 MST 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)

        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)

        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

        Link to Department of Mathematics, University of Utah