Grant Gustafson at math.utah.edu

2250-1 and 2250-2 Due Dates Fall 2003

  1. 2250 [7:30am and 10:45am] due dates for submitted work
    Due dates updated daily

2250-1 and 2250-2 Midterm Exams Fall 2003

  1. Midterm 4 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2003
    Sample Exam 4 in-class (Wed 3 Dec) pdf postscript document (20k)
    Version A-D pdf postscript document (40k)
    Version E-K pdf postscript document (40k)
    Version L-R pdf postscript document (40k)
    Problem 1 TYPO: D=diag(7,-4,3). Wrong D=diag(-2,3,5) came from ver A-D. Nov 24.
    Version S-Z pdf postscript document (40k)
    Due Nov 26 (Problem 1) and Dec 3 (Problem 2) at class time. In-class exam is Wed Dec 3.
    Due Dec 10 in 113jwb (Problems 3,4)
    IMPORTANT Problem notes for Exam 4
  2. Midterm 3 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2003
    In-class Nov 19 sample exam3 (20k pdf)
    Version A-D pdf postscript document (40k)
    Wrong source posted Nov 1. New source Nov 6.
    Typo: change the DE in #3 to x'' + 4x' + 68x = 12 cos(wt). Nov 10.
    Version E-K pdf postscript document (40k)
    Wrong source posted Nov 1. New source Nov 6.
    Typo: remove extra term d6 sin(3x) in 2(b).
    Version L-R pdf postscript document (40k)
    Typo: remove extra term d5 sin(3x) in 2(b).
    Typo: change the DE in #3 to x'' + 4x' + 68x = 12 cos(wt). Nov 10.
    Version S-Z pdf postscript document (40k)
    Due Nov 10 (Problems 1,2)and Nov 14 (Problems 3,4) at class time. In-class exam is Wed Nov 19.
    IMPORTANT Problem notes for Exam 3
    Document on undetermined coefficients, Kummer's method, Table method (2k text)
  3. Midterm 2 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2003
    Version A-D pdf postscript document (47k)
    Version E-K pdf postscript document (47k)
    Version L-S pdf postscript document (47k)
    Version T-Z pdf postscript document (47k)
    Due Oct 15 (1,2)and Oct 17 (3,4) at class time. In-class exam is Oct 20.
    Scores for Exam 2 in 2250-1
    Scores for Exam 2 in 2250-2
  4. Midterm 1 for 2250-1 and 2250-2 (7:30am or 10:45am) Fall 2003
    pdf postscript document (33k)
    Sample inclass exam, pdf postscript document (25k)
    Due Sep 17, 2003 at class time. In-class exam is Sep 19.
    Scores for Exam 1 in 2250-1
    Scores for Exam 1 in 2250-2

  1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Fall 2003
    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 2003
    pdf postscript gradesheet (72k)
  3. 2250 format for submitted work
    How to improve your written work

DE and Linear Algebra Lecture Slides Fall 2003 updated 13 Nov

  1. Week 1 slides
    Memorization PDF Document (3 pages, 300k)
    Background+Direction fields PDF Document (4 pages, 450k)
    For more on direction fields, print Exponential modeling, PDF Document (25 pages, 286k)
  2. Week 2 slides
    1.4 Page 40 Exercises PDF Document (4 pages, 500k)
  3. Week 3 slides
    1.5 Page 53 Exercises PDF Document (2 pages, 280k)
  4. Week 4 slides
    1.3 Page 84 Exercises PDF Document (4 pages, 480k)
  5. Week 5 slides
    Ch3 Page 149+ Exercises PDF Document (6 pages, 890k)
    Ch4 Page 237+ Exercises PDF Document (4 pages, 480k)
  6. Week 6 slides
    Ch5 recipe PDF Document (6 pages, 700k)
    Ch5 exercises PDF Document (16 pages, 1.9mb)
    Ch5 undetermined coeff example PDF Document (3 pages, 0,5mb)
  7. Week 10 slides
    Ch6 Eigenanalysis PDF Document (6 pages, 1.3mb)
    Eigenanalysis theory and example PDF Document (4 pages, 870k)
  8. Week 11 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)
  9. Week 12 slides
    Ch10 Laplace PDF Document (9 pages, 1.95mb)

DE and Linear Algebra manuscripts
updated: Nov 21, 2003


  1. Exponential Modeling manuscript
    PDF Document (25 pages, 286k)
  2. Numerical DE manuscript
    PDF Document (19 pages, 220k)
  3. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
  4. Linear Equations manuscript
    PDF Document (18 pages, 185k)
  5. Vector and matrix manuscript
    PDF Document (11 pages, 113k)
  6. Matrix Equations manuscript
    PDF Document (6 pages, 92k)
  7. Determinants and Cramer's Rule manuscript
    PDF Document (11 pages, 140k)
  8. Undetermined coefficients manuscript
    PDF Document (13 pages, 159k)
    Document on undetermined coefficients, Kummer's method, Table method (2k text)
  9. Laplace transform manuscript
    PDF Document (35 pages, 288k)
  10. Heaviside coverup method manuscript
    PDF Document (3 pages, 53k)
  11. Eigenanalysis manuscript
    PDF Document (13 pages, 165k)
  12. Laplace Theory manuscript
    PDF Document (34 pages, 300k)

  1. Maple labs 2250 updated: Wed Nov 26, 2003
    Korevaar's home page
  2. Maple Lab 3, Earthquakes
    quake project Fall 2003 (PDF) Due 4 Nov in 113jwb
    Typo in 3.2 "printf" fixed in pdf source. No change for txt or .mws sources.
    quake project Fall 2003 worksheet .mws (Shift-click to write file to disk)
    quake project Fall 2003 worksheet text .txt (Shift-click to write file to disk)
    quake project errors text (Shift-click to write file to disk)
  3. Maple Lab 2, Tacoma Narrows
    Tacoma project2 fall 2003 .pdf (print from acrobat reader)
    Tacoma project2 fall 2003 .mws (Shift-click to write file to disk)
    Tacoma project2 fall 2003 .txt (Shift-click to write file to disk)
    Tacoma page Fall 2003
    Typo in 2.3 has been fixed in pdf above Tue Oct 28 2003
  4. Maple Lab 1b, Newton Cooling
    pdf document Lab 1b Fall 2003
    maple text Lab 1b Fall 2003
  5. Maple Lab 1a, Solving quadratics and plotting functions
    pdf document Lab 1a Fall 2003
    maple worksheet text Lab 1a Fall 2003

  1. 2250 Student profiles Fall 2003
    How to submit your email profile

Engineering Math Local Documents Spring 2003


2250-1 and 2250-2 Due Dates Spring 2003

  1. 2250 [7:30am and 10:45am] due dates for submitted work
    Due dates updated daily

2250-1 and 2250-2 Midterm Exams Spring 2003

  1. Midterm 4 for 2250-1 and 2250-2 (7:30am or 10:45pm) Spring 2003
    pdf postscript document (28k)
    Due April 18, 2003 at class time.
    In-class exam is April 21.
  2. Midterm 3 for 2250-1 and 2250-2 (7:30am or 10:45pm) Spring 2003
    pdf postscript document (28k)
    Due April 7, 2003 at class time.
    In-class exam is April 4. Sample inclass exams from 2002
  3. Midterm 2 for 2250-1 and 2250-2 (7:30am or 10:45pm) Spring 2003
    pdf postscript document (33k)
    Due March 3, 2003 at class time.
    In-class exam is Feb 28. Sample inclass pdf postscript document (25k)
  4. Midterm 1 for 2250-1 and 2250-2 (7:30am or 10:45pm) Spring 2003
    pdf postscript document (33k)
    Due January 31, 2003 at class time. In-class exam is Jan 29.
    Answers to problems 1-4 (TEXT)

  1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Spring 2003
    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 Spring 2003
    pdf postscript gradesheet (72k)
  3. 2250 format for submitted work
    How to improve your written work

DE and Linear Algebra manuscripts, updated: Feb 9, 2003


  1. Exponential Modeling manuscript
    PDF Document (25 pages, 286k)
  2. Numerical DE manuscript
    PDF Document (16 pages, 184k)
  3. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
  4. Linear Equations manuscript
    PDF Document (18 pages, 185k)
  5. Vector and matrix manuscript
    PDF Document (11 pages, 113k)
  6. Matrix Equations manuscript
    PDF Document (6 pages, 92k)
  7. Determinants and Cramer's Rule manuscript
    PDF Document (11 pages, 140k)
  8. Undetermined coefficients manuscript
    PDF Document (13 pages, 159k)
  9. Laplace transform manuscript
    PDF Document (35 pages, 288k)
  10. Heaviside coverup method manuscript
    PDF Document (3 pages, 53k)

  1. Maple labs 2250
    Korevaar's home page
  2. Maple Lab 3, Earthquakes
    quake project Spring 2003 (PDF)
    quake project Spring 2003 worksheet .mws (Shift-click to write file to disk)
    quake project errors text (Shift-click to write file to disk)
  3. Maple Lab 2, Tacoma Narrows
    Tacoma project2 2003 .mws (Shift-click to write file to disk)
    Tacoma project2 2003 .txt (Shift-click to write file to disk)
    Tacoma page Spring 2003
  4. Maple Lab 1, Newton Cooling
    pdf document
    maple mws worksheet
    maple text

  1. 2250 Student profiles Spring 2003
    How to submit your email profile


LINEAR ALGEBRA 2270 Local Documents Fall 2003

2270-1 meets in AEB 350 MWF and JFB 103 Tues


2270-1 Due Dates Fall 2003

  1. 2270-1 [9:40am] due dates for submitted work
    Due dates updated daily
  2. 2270-1 [9:40am] Gradesheet with assignments. Copy due by Dec 10
    Gradesheet pdf

2270-1 Midterm Exams Fall 2003

  1. Midterm 4 for 2270-1 (9:40am) Fall 2003
    pdf postscript document (30k)
    Due December 10. Chapter 9 not due - apply to HW scores ch 1-8.
    Problem notes on Exam 4 (text)
  2. Midterm 3 for 2270-1 (9:40am) Fall 2003
    pdf postscript document (33k)
    Due at class time Tue 11 Nov (1,2) and Fri 14 Nov (3,4).
    In-class exam is Wed 19 Nov.
    Sample in-class Exam 3 (20k pdf)
    Problem notes on Exam 3 (text)
  3. Midterm 2 for 2270-1 (9:40am) Fall 2003
    pdf postscript document (33k)
    Due Oct 17, 2003 at class time. In-class exam is Oct 21.
    Notes on problem 2 Exam 2 Click here
  4. Midterm 1 for 2270-1 (9:40am) Fall 2003
    pdf postscript document (33k)
    Due Sep 19, 2003 at class time. In-class exam is Sep 23.

  1. Gustafson's 2270-1 (9:40am) course syllabus Fall 2003
    pdf postscript syllabus (124k)
    Linear Algebra, Otto Bretscher
    Print locally or use Adobe AcroRead [acrobat reader]
  2. Gustafson's 2270-1 gradesheet Fall 2003
    pdf postscript gradesheet (72k)
  3. 2270 format for submitted work
    How to improve your written work

  1. Linear Equations manuscript
    PDF Document (18 pages, 185k)
  2. Vector and matrix manuscript
    PDF Document (11 pages, 113k)
  3. Matrix Equations manuscript
    PDF Document (6 pages, 92k)
  4. Determinants and Cramer's Rule manuscript (see Ch6 of Otto's text)
    PDF Document (11 pages, 140k)
  5. Eigenanalysis slides
    PDF Document (4 pages, 870k)
  6. PDF Document (13 pages, 165k)


Previous Courses 1998-2003



Differential Equations 5420 Local Documents Spring 2003


  1. 5420 Midterm 3 Spring 2003 due 7-Apr at class time
    Postscript pdf
    This exam contains details for the Poincare project.
  2. 5420 Midterm 2 Spring 2003 due 14-Mar at class time
    Postscript pdf
  3. 5420 Midterm 1 Spring 2003 due 31-Jan at class time
    Postscript pdf
  4. Gustafson's 5420 course syllabus Spring 2003
    pdf postscript syllabus (130k)
    Undergraduate differential equations, Borrelli-Coleman
    Print locally or use Adobe AcroRead [acrobat reader]
  5. Gustafson's 5420 gradesheet 2003
    pdf postscript gradesheet (75k)
    Record-keeping for Take-homes, Midterms and maple labs.

  1. 5420 Poincare slides
    pdf postscript slides (132k)

  1. 5420 due dates for submitted work
    Due dates updated daily

Engineering Math Local Documents Fall 2002

  1. Midterm 4 for 2250-1 and 2250-3 (7:30am or 12:55pm) Fall 2002
    pdf postscript document (31k)
    Due December 2, 2002 at class time. In-class exam is on December 4.
    Errata and hints for Exam 4 (text)
  2. Midterm 3 for 2250-1 and 2250-3 (7:30am or 12:55pm) Fall 2002
    pdf postscript document (31k)
    Due November 13, 2002 at class time
    MAPLE odetest notes (txt)
  3. Midterm 2 for 2250-1 and 2250-3 (7:30am or 12:55pm) Fall 2002
    pdf postscript document (33k)
    Due October 18, 2002 at class time
  4. Midterm 1 for 2250-1 and 2250-3 (7:30am or 12:55pm) Fall 2002
    pdf postscript document (33k)
    Due September 13, 2002 at class time

  1. Gustafson's 2250 (7:30am or 12:55pm) course syllabus Fall 2002
    pdf postscript syllabus (124k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  2. Gustafson's 2250 (7:30am or 12:55pm) gradesheet Fall 2002
    pdf postscript gradesheet (72k)
  3. 2250 format for submitted work
    How to improve your written work

  1. Exponential Modeling manuscript
    PDF Document (25 pages, 490k)
  2. Numerical DE manuscript
    PDF Document (16 pages, 330k)
  3. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
  4. Linear Equations manuscript
    PDF Document (18 pages, 300k)
  5. Vector and matrix manuscript
    PDF Document (11 pages, 185k)
  6. Matrix Equations manuscript
    PDF Document (6 pages, 150k)
  7. Determinants and Cramer's Rule manuscript
    PDF Document (11 pages, 230k)
  8. Undetermined coefficients manuscript
    PDF Document (13 pages, 160k)
  9. Laplace transform manuscript
    PDF Document (35 pages, 300k)
  10. Heaviside coverup method manuscript
    PDF Document (3 pages, 53k)

  1. Maple labs 2250, all sections
    Korevaar's home page
  2. Maple lab 1 2250, Temperature Oscillations, Newton Cooling
    PDF file for maple lab 1 (95k)
    MAPLE text for lab 1 (5k) [Hold SHIFT, then click mouse to save on disk.]
  3. Maple lab 2 2250, Tacoma Narrows, McKenna dynamics
    HTML index for maple lab 2
    MAPLE worksheet (.mws) for lab 2 (12k) [Hold SHIFT, then click mouse to save on disk.]
    Errors in lab 2 (text)
  4. Maple lab 3 2250, Earthquake dynamics on tall buildings
    MAPLE worksheet (.mws) for lab 3 (12k) [Hold SHIFT, then click mouse to save on disk.]
    Lab 3 documentation PDF (38k)
    Errors in lab 3 (text)

  1. 2250-1 7:30am Student profiles Fall 2002
    Click Here
  2. 2250-3 15:55pm Student profiles Fall 2002
    Click Here
  3. 2250 profile instructions
    How to submit your email profile
  4. 2250 [7:30am and 12:55pm] due dates for submitted work
    Due dates updated daily

Engineering Math Local Documents Spring 2002

  1. Gustafson's 2250 (7:30am or 6:00pm) course syllabus Spring 2002
    pdf postscript syllabus (124k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  2. Gustafson's 2250 (7:30am or 6:00pm) gradesheet Spring 2002
    pdf postscript gradesheet (84k)
  3. Numerical DE manuscript
    PDF Document (7 pages, 300k)
  4. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
  5. Linear Equations manuscript
    PDF Document (18 pages, 300k)
  6. Vector and matrix manuscript
    PDF Document (11 pages, 185k)
  7. Matrix Equations manuscript
    PDF Document (6 pages, 150k)
  8. Undetermined coefficients manuscript
    PDF Document (13 pages, 270k)
  9. Laplace transform manuscript
    PDF Document (8 pages, 190k)
  10. Heaviside coverup method manuscript
    PDFDocument (2 pages, 96k)
  11. Sample Exam Fall 2001
    PDF Document (2 pages)
  12. Midterm Exam Fall 2001
    PDF Document (2 pages)
  13. Maple labs 2250, all sections
    Korevaar's home page
  14. Maple lab 1 2250, Temperature Oscillations, Newton Cooling
    PDF file for maple lab 1 (95k)
    MAPLE text for lab 1 (5k) [Hold SHIFT, then click mouse to save on disk.]
  15. Maple lab 3 2250, Laplace theory
    PDF file for maple lab 3 (130k)
  16. 2250 [7:30am and 6:00pm] due dates for submitted work
    Due dates updated daily

Engineering Math Local Documents 2001

  1. Gustafson's 2250-1 (7:30) course syllabus Autumn 2001
    pdf postscript syllabus (124k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  2. Gustafson's 2250-1 (7:30) gradesheet Autumn 2001
    pdf postscript gradesheet (84k)
  3. Gustafson's 2250-5 (6pm) course syllabus Autumn 2001
    pdf postscript syllabus (124k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  4. Gustafson's 2250-5 (6pm) gradesheet Autumn 2001
    pdf postscript gradesheet (84k)
  5. Undetermined coefficients manuscript
    PDF Document (13 pages)
  6. Sample Exam Fall 2001
    PDF Document (2 pages)
  7. Maple labs 2250, all sections
    Korevaar's home page

Engineering Math Local Documents Spring Semester 2001

  1. Gustafson's 2250 course syllabus Spring 2001
    pdf postscript syllabus (120k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  2. Gustafson's 2250 gradesheet Spring 2001
    pdf postscript gradesheet (74k)
  3. Gustafson's 2250 assignments Spring 2001
    pdf postscript problem list (48k)
    text problem list (2k)
  4. Gustafson's 2250 Maple Lab1 Spring 2001
    pdf postscript Lab1 (95k)
  5. Gustafson's 2250 Maple Lab2 Spring 2001
    Text format Lab2 (12k)
  6. Link to 2250 Maple Lab2 Spring 2001 (Tacoma)
    html format Lab2
  7. Gustafson's 2250 Maple Lab3 Spring 2001 (Earthquake)
    Text format Lab3 (6k)
  8. Link to 2250 Maple Worksheet Lab3 Spring 2001
    maple worksheet Lab3
  9. Undetermined coefficients manuscript
    PDF Document (13 pages)

Differential Equations 5420 Local Documents 2001

  1. Gustafson's 5420 course syllabus 2001
    pdf postscript syllabus (120k)
    Undergraduate differential equations, Borrelli-Coleman
    Print locally or use Win95 Adobe AcroRead [acrobat reader]

Old Engineering Math Local Documents 1995-2000

  1. Transfer these small files to test feasibility DVI (1k) | LaTeX (1k)
  2. Gustafson's 2250 Labs /w Maple Notes 1999
    pdf postscript DE problems and answers (650k)
    pdf postscript Linear algebra problems and answers (320k)
    Engineering differential equations, Edwards-Penney
    Print locally or use Win95 Adobe AcroRead [acrobat reader]
  3. LaTeX Style sources for Gustafson's 251,252,353 Labs styles.zip (52k)
  4. Gustafson's 251 Labs /w Maple Notes DVI (245k) | LaTeX (160k) | postscript gzip (211k)
    Engineering differential equations, Kreyszig 7th
  5. Gustafson's 252 Labs /w Maple Notes DVI (220k) | LaTeX (146k) | postscript gzip (175k)
    Engineering linear algebra and vector calculus, Kreyszig 7th
  6. Gustafson's 353 Labs /w Maple Notes DVI (215k) | LaTeX (160k) | postscript gzip (204k)
    Engineering Fourier series and PDE, Kreyszig 7th


Differential Equations PhD Written Preliminary Examination 2002

  1. Gustafson PhD Prelim Syllabus June 2002
    pdf postscript (65k)
  2. Gustafson PhD Prelim+Solutions August 2002
    pdf postscript (195k)

Differential Equations 6410-6420 Local Documents 2001-2002

  1. Gustafson's 6410 course syllabus Fall 2001
    pdf postscript syllabus (120k)
    Graduate differential equations, Schmitt-Thompson
    Print locally or use Adobe AcroRead [acrobat reader]
  2. Gustafson's 6410 ch01 slides, Fall 2001
    pdf postscript slides (200k) Schmitt-Thompson text
  3. Gustafson's 6410 ch02 slides, Fall 2001
    pdf postscript slides (70k) Schmitt-Thompson text
  4. Gustafson's 6410 ch03 slides, Fall 2001
    pdf postscript slides (121k)
  5. Gustafson's 6410 ch04 slides, Fall 2001
    pdf postscript slides (102k) Schmitt-Thompson text
  6. Gustafson's 6410 ch05 slides, Fall 2001
    pdf postscript slides (126k) Schmitt-Thompson text
  7. Gustafson's 6410 ch06 slides, Fall 2001
    pdf postscript slides (102k) Schmitt-Thompson text
  8. Gustafson's 6410 ch07 slides, Fall 2001
    pdf postscript slides (68k) Schmitt-Thompson text
  9. Gustafson's 6410 ch08 slides, Fall 2001
    pdf postscript slides (130k) Schmitt-Thompson text
  10. Gustafson's 6420 ch09 slides, Spring 2002
    pdf postscript slides (132k) Schmitt-Thompson text
  11. Gustafson's 6420 ch10 slides, Spring 2002
    pdf postscript slides (71k) Schmitt-Thompson text
  12. Gustafson's 6420 ch11 slides, Spring 2002
    pdf postscript slides (137k) Schmitt-Thompson text