# Engineering Math Spring 2004 Updated: Sat Dec 20 2003

## 2250-1 and 2250-2 Due Dates Spring 2004

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

## 2250-1 and 2250-2 Midterm Exams Spring 2004

1. Final Exam for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2004
IMPORTANT Sample final exam (PDF)
IMPORTANT Problem notes for the final exam
2. Midterm 3 for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2004
IMPORTANT Sample midterm 3 (PDF)
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) Spring 2004
IMPORTANT Sample midterm 2 (PDF)
IMPORTANT Problem notes for Exam 2
4. Midterm 1 for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2004
IMPORTANT Sample midterm 1 (PDF)
IMPORTANT Problem notes for Exam 1

1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Spring 2004
pdf postscript syllabus (124k)
Engineering differential equations, Edwards-Penney
2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Spring 2004
3. 2250 format for submitted work
How to improve your written work
4. 2250 Student profiles Spring 2004
How to submit your email profile

# DE and Linear Algebra Lecture Slides Spring 2004 updated 19 Dec 2003

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 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 7 slides
Ch6 Eigenanalysis PDF Document (6 pages, 1.3mb)
Eigenanalysis theory and example PDF Document (4 pages, 870k)
8. Week 8 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 9 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: Fri Dec 19, 2003
2. Maple Lab 3, Earthquakes
quake project Spring 2004 (PDF)
quake project Spring 2004 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 Spring 2004 .pdf (print from acrobat reader)
Tacoma project2 Spring 2004 .mws (Shift-click to write file to disk)
Tacoma project2 Spring 2004 .txt (Shift-click to write file to disk)
Tacoma page Spring 2004
4. Maple Lab 1b, Newton Cooling
pdf document Lab 1b Spring 2004
maple text Lab 1b Spring 2004
5. Maple Lab 1a, Solving quadratics and plotting functions
pdf document Lab 1a Spring 2004
maple worksheet text Lab 1a Spring 2004

# Fall 2003 Engineering Math 2250 Documents

## 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
2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Fall 2003
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
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

# 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

## 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.
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
2. Gustafson's 2270-1 gradesheet Fall 2003
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

## 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.

1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Spring 2003
pdf postscript syllabus (124k)
Engineering differential equations, Edwards-Penney
2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Spring 2003
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
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

# 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)
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

# Differential Equations 5410 Local Documents 2002

1. 5410 Midterm 4 Fall 2002 due Dec 4 at class time
Postscript pdf
2. 5410 Midterm 3 Fall 2002 due Nov 15 at class time
Postscript pdf
Problem 4 typo correction Fri Nov 8 11:09:20 MST 2002.
3. 5410 Midterm 2 Fall 2002 due 21-Oct at class time
Postscript pdf
Problem 4 typo correction Wed Oct 16 11:18:35 MDT 2002.
4. 5410 Midterm 1 Fall 2002 due 16-Sep at class time
Postscript pdf
5410 Midterm 1 Problem 3 Notes (text)
5. 5410 Picard Project. Proofs due 15-November-2002
Postscript pdf

1. Gustafson's 5410 course syllabus 2002
pdf postscript syllabus (130k)
Record-keeping for Take-homes, Midterms and maple labs.

1. 5410 profile instructions
How to submit your email profile
2. 5410 Student profiles Fall 2002

### Documents for 5410 Fall 2002 (pdf)

1. Exponential Modeling document for BC chapter 1
PDF Document (25 pages, 490k)
2. Numerical DE manuscript
PDF Document (16 pages, 330k)
3. Undetermined coefficients manuscript for BC chapter 3
PDF Document (13 pages, 160k)
4. Laplace transform manuscript
PDF Document (35 pages, 300k)
5. Heaviside coverup method manuscript
PDF Document (3 pages, 53k)

### Maple Labs for 5410 Fall 2002

1. Maple lab1: Direction fields
PDF Document (2 pages, 35k)
2. Maple lab2: Teddy bears and DEplot
PDF Document (2 pages, 35k)
3. Maple lab3: Euler, Heun and RK4 Methods
PDF Document (4 pages, 42k)
4. Maple lab4: Antihistamine problems
PDF Document (2 pages, 32k)
5. Maple lab5: Picard Iteration Experiments
PDF Document (1 pages, 29k)
6. Maple lab6: Phase diagrams
PDF Document (3 pages, 44k)
7. Maple lab7: Chaos and Euler's method
PDF Document (3 pages, 44k)
Use this lab to replace one section of chapter 3 homework.
8. 5410 due dates for submitted work
Due dates updated daily

# 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)
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

# OLD Engineering Math Local Documents 1998-2003

1. Link to Fall 2003 Eng Math documents
2. Link to Spring 2003 Eng Math documents
3. Link to Fall 2002 Eng Math documents
4. Link to Spring 2002 Eng Math documents
5. Link to 2000-2001 Eng Math documents
6. Link to 1995-1999 Eng Math documents
7. Link to 2001 Math 5410 documents

# 1996 Math Contest Solutions

1996 Contest Solutions. Click here to view LaTeX (116k) | PostScript(860k) | DVI (234k)
Held March 15, 1996 at UofU. More than 2700 people entered.

# 1995 Math Contest Solutions

1995 Contest Solutions. Click here to view LaTeX (131k) | PostScript (700k) | DVI (378k)
Held March 17, 1995 at UofU. More than 2500 people entered.

# Utah 2000

1. Max Brough's PeopleSoft Primer Link

# PC Computer Vendors

Where to buy PC parts or whole computers? Info on the current cost. The links on the page below are for comparison shopping. Purchases from these sites are at your own risk (don't blame me!). If you look at this page often, then make a bookmark!
• Link to PC vendors Page