Grant Gustafson at math.utah.edu

Engineering Math Fall 2005

Updated: Fri Dec 16 20:08:34 MST 2005
  1. Final exam keys and exam 3 keys available. See below.
  2. Record now available for 10:45, with final exam scores.
    10:45 gradesheet record, sorted by rank in class, includes final exam
    Grades will be posted Monday morning 19 Dec. Please send corrections to ggustaf. The number of items is 120 [114 posted earlier neglected double credit on 2.4,2.5,2.6]. Extra credit is not part of the 120. The course average 0.3(dailies)+0.7(exams) is truncated to determine the letter grade, then exam scores are considered to see if the grade should increase by 1/3 GP (e.g., B- to B or B+ to A-).
    Exams and coursework are located in a box outside 113jwb.
  3. Record now available for 7:30, with final exam scores.
    7:30 gradesheet record, sorted by rank in class, includes final exam
    Grades will be posted Monday morning 19 Dec. Please send corrections to ggustaf. The number of items is 120. Extra credit is not part of the 120. The course average 0.3(dailies)+0.7(exams) is truncated to determine the letter grade, then exam scores are considered to see if the grade should increase by 1/3 GP (e.g., B- to B or B+ to A-).
    Exams and coursework are located in a box outside 113jwb.
  4. Daily 10.4-20 moved to extra credit. Not required.
  5. Final Exam study guide F2005 available. See below.
  6. 9 Nov: Makeup maple labs Tacoma and Earthquake. These can replace any missed lab items, all or part.

2250-1 and 2250-2 Due Dates Fall 2005

  1. 2250 [7:30am and 10:45am] Actual due dates for submitted work
    Due dates updated daily
    Problem list for Fall 2005 available in 2250gradesheetF2005.pdf
  2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Fall 2005.
    gradesheet (72k pdf)
  3. Gustafson's 2250 (7:30am or 10:45am) syllabus Fall 2005.
    syllabus (103k pdf)
  4. 2250 format suggestions for submitted work
    How to improve your written work

Maple labs 2250 Fall 2005

Updated: Mon Nov 21 10:07:25 MST 2005
  1. Maple Lab 1a, Solving quadratics and plotting functions [due 9 Sep]
    pdf document Lab 1a Fall 2005
    maple worksheet text Lab 1a Fall 2005
  2. Maple Lab 1b, Newton Cooling [due 21 Sep]
    pdf document Lab 1b Fall 2005
    maple worksheet text Lab 1b Fall 2005
  3. Maple Lab 2a, Matrix Algebra 2.1, 2.2, 2.3 [due 04 Nov]
    pdf document Lab 2a Fall 2005
    maple worksheet text Lab 2a Fall 2005
  4. Maple Lab 2b, Mechanical Oscillations Due Nov 23
    pdf document Lab 2b Fall 2005
    maple .mws Lab 2b Fall 2005
    Press SHIFT and then mouse-click to save the file to disk. Open the saved file in xmaple.
    In Mozilla firefox, click on the link then save off the FILE menu. Yes, the page will look like garbage, but ignore that and save it.
    Email message about maple lab 2b November 2005 text Document (1 page, 2k)
  5. Optional Extra Credit Maple Lab 3a: Tacoma Narrows 3.1, 3.2, 3.3
    pdf document Lab 3a Fall 2004
    maple .mws Lab 3a Fall 2004
    Press SHIFT and then mouse-click to save the file to disk. Open the saved file in xmaple.
    Tacoma page Fall 2004
  6. Optional Extra Credit maple Lab 3b, Earthquakes (same as Fall 2004)
    quake project Fall 2004 (PDF)
    quake project Fall 2004 worksheet .mws (Shift-click to write file to disk)
    quake project Fall 2004 worksheet text .txt (Shift-click to write file to disk)
    quake project errors text (Shift-click to write file to disk)

2250-1 and 2250-2 Midterm Exams Fall 2005 (Spring 2005 references also)

  1. Midterm 1 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2005
    S2005 Sample Midterm 1, Exam date Feb 16 (pdf).
    S2005 Solution Key for 7:30 Midterm 1 Spring 2005
    S2005 Solution Key for 10:45 Midterm 1 Spring 2005
    Solution Key for 7:30 Midterm 1 Fall 2005
    Solution Key for 10:45 Midterm 1 Fall 2005
  2. Midterm 2 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2005
    S2005 Sample Midterm 2, Exam date Mar 28 (pdf)
    S2005 Answers and answer check for Sample Midterm 2 from Fall 2004
    S2005 Solution Key for 7:30 Midterm 2 Spring 2005 (26 Apr)
    S2005 Solution Key for 10:45 Midterm 2 Spring 2005 (26 Apr)
    Sample exam 2 and answers Fall 2005 (pdf)
    Solution Key for 7:30 Midterm 2 Fall 2005
    Solution Key for 10:45 Midterm 2 Fall 2005
  3. Midterm 3 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2005
    S2005 Sample Exam 3 and Solutions, Exam date Apr 20 (pdf), updated Sat 16 Apr 2005
    S2005 Exam 3 and Solution Key 7:30 (pdf)
    S2005 Exam 3 and Solution Key 10:45 (pdf)
    Fall 2005 Sample Exam 3, 10 problem study guide. Exam date 2 Dec 2005 (2 pages pdf)
    Fall 2005 Sample Exam 3, 10 problem study guide with Solution Key. Exam date 2 Dec 2005 (4 pages pdf)
    Fall 2005 Exam 3 solution key 7:30am [2 Dec 2005] (5 pages pdf)
    Fall 2005 Exam 3 solution key 10:45am [2 Dec 2005] (5 pages pdf)
  4. Final Exam for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2005
    The 7:30 section exam is 7:45am Dec 14 2005. The 10:45 section exam is 10:10am Dec 13 2005.
    Study guide for the final exam, Fall 2005
    Please use previous semester final exams and solution keys provided below plus F2005 exams 1,2,3 (above) to study for the final exam.
    Fall 2005 Final Exam grading key 7:30am [14 Dec 2005] (6 pages pdf)
    Fall 2005 Final Exam grading key 10:45am [13 Dec 2005] (6 pages pdf)
  5. Final Exam for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2005
    The 7:30 section exam was 7:45am May 4 2005. The 10:45 section exam was 10:10am May 3 2005.
    Study guide for the final exam, Spring 2005
    Sample 2250 7:30 final Exam. The actual 2250 final exam from Fall 2004
    No sample final answers available, please don't ask, answers don't exist. Yes, this is 12 months old.
    Grading key for the 10:45 Fall 2004 2250-2 final Exam.
    Answers only, sketch of solution. Yes, this is 12 months old.
  6. Final Exam Keys Spring 2005 7:30 and 10:45 2250 classes
    7:30 2250-1 Spring 2005 Final Exam Grading key (pdf)
    10:45 2250-2 Spring 2005 Final Exam Grading key (pdf)

2250 Syllabus and Gradesheet Fall 2005

  1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Fall 2005
    pdf postscript syllabus (124k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Adobe AcroRead [acrobat reader]
  2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Fall 2005.
    pdf postscript gradesheet (72k)
  3. 2250 format for submitted work
    How to improve your written work

DE and Linear Algebra Lecture Slides Fall 2005

Updated: Wed Jul 27 09:43:36 MDT 2005
  1. Week 1 slides
    Memorization PDF Document (3 pages, 300k)
    Recipes for 1st, 2nd order and 2x2 Systems of DE PDF Document (2 pages, 50kb)
    Background+Direction fields PDF Document (4 pages, 450k)
    For more on direction fields, print Direction fields, PDF Document (6 pages, 120k)
  2. Week 2 slides
    1.4 Page 40 Exercises PDF Document (4 pages, 500k)
    Separable Equations PDF Document (9 pages, 157k)
    1.5 Page 53 Exercises PDF Document (2 pages, 280k)
    Linear DE (Integrating Factor Method) document, PDF (11 pages, 137k)
    1.4+1.5 slides PDF Document (3 pages, 470k)
    How to do a maple answer check for y'=y+2x (TEXT 1k)
  3. Week 3 slides
    PDF phase line and bifurcation Document (includes "Stability, Funnel, Spout, and bifurcation") (6 pages, 161k)
    ch2 Page 84 Exercises PDF Document; Brine Mixing; Escape Velocity (4 pages, 480k)
    ch2 DEplot maple example 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 14
    Numerical DE, PDF Document (19 pages, 220k)
    Numerical DE coding hints, TEXT Document (1 pages, 2k)
    Sample Report for 2.4-3 (pdf 3 pages, 350k)
  5. Weeks 5,6 slides
    Ch3 Page 149+ Exercises PDF Document (6 pages, 890k)
  6. Week 7 slides
    Ch4 Page 237+ Exercises PDF Document (4 pages, 480k)
  7. Weeks 8,9 slides
    Ch5 recipe PDF Document (6 pages, 700k)
    Ch5 exercises PDF Document (16 pages, 1.9mb)
    Ignore the 5.5 examples which refer to Kummer's method or Cauchy's kernel.
    Problem notes 5.5: 4, 10, 24, 34, 48, 52 (1 page, text)
  8. Weeks 9,10 slides
    Ch5 undetermined coeff example PDF Document (3 pages, 0,5mb)
    This is a basic undetermined coffficient example. The textbook references are to an older edition.
    Manuscript and example, undetermined coefficients (PDF 8 pages, Fall 2004)
  9. Week 11 slides
    Ch6 Eigenanalysis PDF Document (6 pages, 1.3mb)
    Eigenanalysis theory and example PDF Document (4 pages, 870k)
    Eigenanalysis-I manuscript S2005 (PDF 19 pages, 145k)
  10. Week 12 slides
    Ch7 Systems of DE PDF Document (4 pages, 0.8mb)
    Recipes for 1st, 2nd order and 2x2 Systems of DE PDF Document (2 pages, 50kb)
  11. Week 13 slides
    Ch10 Laplace PDF Document (9 pages, 1.95mb)

DE and Linear Algebra manuscripts

Updated: Wed Nov 2 15:51:30 MST 2005
  1. Exponential Modeling manuscript
    PDF Document (34 pages, 350k)
  2. Direction fields manuscript
    Direction fields, PDF Document (6 pages, 120k)
  3. Numerical DE manuscript
    PDF Document (19 pages, 220k)
  4. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
  5. Phase line and bifurcation manuscript
    PDF Document (6 pages, 161k)
  6. Linear Equations manuscript
    PDF Document (21 pages, 207k)
  7. Vector and matrix manuscript
    PDF Document (11 pages, 113k)
  8. Matrix Equations manuscript
    PDF Document (6 pages, 92k)
  9. Determinants and Cramer's Rule manuscript
    PDF Document (11 pages, 140k)
  10. Independence, Rank, Dimension manuscript
    PDF Document (17 pages, 180k)
  11. First and Second order DE manuscripts
    First order constant coefficient recipe + theory + variation of parameters and undetermined coefficients (PDF 11 pages)
    Second order constant coefficient recipe + theory (PDF 7 pages)
    Second order variation of parameters (PDF 7 pages)
    Second order undetermined coefficients (PDF 8 pages)
  12. Undetermined coefficients manuscript
    undetermined coefficients (PDF 8 pages)
    variation of parameters (PDF 6 pages)
    Document on undetermined coefficients, Kummer's method, Table method (2k text)
    Document on Higher order linear differential equations. Higher order recipe. (9 pages pdf)
    Document on unforced mechanical oscillations (8 pages pdf)
    Document on forced mechanical oscillations (8 pages pdf)
    Document on resonance (7 pages pdf)
  13. Laplace transform manuscript
    PDF Document (35 pages, 288k)
  14. Heaviside coverup method manuscript
    PDF Document (4 pages, 86k)
  15. Eigenanalysis manuscript. Updated S2005.
    Eigenanalysis-I manuscript S2005 (PDF 19 pages, 145k)
    PDF Document (13 pages, 165k)
  16. Differential systems examples and theory, manuscript. Updated F2005.
    DE systems manuscript F2005 (PDF 66 pages, 909k)
  17. Laplace Theory manuscript
    PDF Document (34 pages, 300k)

Old Maple labs 2250 Fall 2004

  1. Old Maple labs 2250 from Fall 2004
    Korevaar's home page
  2. Maple Lab 3b, Earthquakes
    quake project Fall 2004 (PDF)
    quake project Fall 2004 worksheet .mws (Shift-click to write file to disk)
    quake project Fall 2004 worksheet text .txt (Shift-click to write file to disk)
    quake project errors text (Shift-click to write file to disk)
  3. Maple Lab 3a, Tacoma narrows
    pdf document Lab 3a Fall 2004
    maple .mws Lab 3a Fall 2004
    Press SHIFT and then mouse-click to save the file to disk. Open the saved file in xmaple.
    Tacoma page Fall 2004
  4. Maple Lab 2b, Mechanical Oscillations
    pdf document Lab 2b Fall 2004
    maple .mws Lab 2b Fall 2004
    Press SHIFT and then mouse-click to save the file to disk. Open the saved file in xmaple.
  5. Maple Lab 2a, Matrix algebra
    pdf document Lab 2a Fall 2004
    Errata: Item (4) X:=col(C,4); should read X:=col(R,4);
  6. Maple Lab 1b, Newton Cooling
    pdf document Lab 1b Fall 2004
    maple text Lab 1b Fall 2004
  7. Maple Lab 1a, Solving quadratics and plotting functions
    pdf document Lab 1a Fall 2004
    maple worksheet text Lab 1a Fall 2004

OLD Engineering Math Local Documents 1998-2004

  1. Link to Fall 2004 Eng Math documents
    Click here
  2. Link to Spring 2004 Eng Math documents
    Click here
  3. Link to Fall 2003 Eng Math documents
    Click here
  4. Link to Spring 2003 Eng Math documents
    Click Here
  5. Link to Fall 2002 Eng Math documents
    Click Here
  6. Link to Spring 2002 Eng Math documents
    Click Here
  7. Link to 2000-2001 Eng Math documents
    Click Here
  8. Link to 1995-1999 Eng Math documents
    Click Here
  9. Link to 2001 Math 5410 documents
    Click Here
Mail address: 
        Grant B. Gustafson
        155 South 1400 East Room 233
        Salt Lake City, UT 84112-0090
Office phone: (801) 581-6879

Grant Gustafson. For email address, see class notes.
Link to Department of Mathematics, University of Utah