# Engineering Math Spring 2005

Updated: Tue May 10 23:55:02 MDT 2005

## 10 May: 7:30 2250-1 final exam results, rank-in-class and dailies record report

7:30 2250-1 RANK-IN-CLASS, Exams Average, Dailies records (txt)
7:30 2250-1 Final Exam Grading key (pdf)

## 10 May: 10:45 2250-2 final exam results, rank-in-class and dailies record report

10:45 2250-2 RANK-IN-CLASS, Exams Average, Dailies records (txt)
10:45 2250-2 Final Exam Grading key (pdf)

## 2250-1 and 2250-2 Due Dates Spring 2005

1. 2250 [7:30am and 10:45am] Actual due dates for submitted work
Due dates updated daily
Problem list for Spring 2005 available in 2250gradesheetS2005.html
Problem list for Spring 2005 available in 2250submitScheduleS2005.html
2. Gustafson's 2250 (7:30am or 10:45am) gradesheet Spring 2005.
3. Gustafson's 2250 (7:30am or 10:45am) Tenative Due Dates Spring 2005.
Schedule for submissions (72k pdf)

# Maple labs 2250 Spring 2005

Updated: Sun Mar 20 11:37:15 MST 2005
1. Maple Lab 1a, Solving quadratics and plotting functions [due 2 Feb]
pdf document Lab 1a Spring 2005
maple worksheet text Lab 1a Spring 2005
2. Maple Lab 1b, Newton Cooling [due 11 Feb]
pdf document Lab 1b Spring 2005
maple worksheet text Lab 1b Spring 2005
3. Maple Lab 2a, Matrix Algebra 2.1, 2.2, 2.3 [due 25 Mar]
pdf document Lab 2a Spring 2005
maple worksheet text Lab 2a Spring 2005
4. Maple Lab 2b, Mechanical Oscillations
pdf document Lab 2b Spring 2005
maple .mws Lab 2b Spring 2005
Press SHIFT and then mouse-click to save the file to disk. Open the saved file in xmaple.
5. Optional makeup 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 makeup maple Lab 3b, Earthquakes (same as Spring 2004)
quake project Spring 2004 (PDF)
quake project Spring 2004 worksheet .mws (Shift-click to write file to disk)
quake project Spring 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 Spring 2005

1. Midterm 1 for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2005
Sample Midterm 1, Exam date Feb 16 (pdf).
Solution Key for 7:30 Midterm 1 Spring 2005
Solution Key for 10:45 Midterm 1 Spring 2005
2. Midterm 2 for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2005
Sample Midterm 2, Exam date Mar 28 (pdf)
Solution Key for 7:30 Midterm 2 Spring 2005 (26 Apr)
Solution Key for 10:45 Midterm 2 Spring 2005 (26 Apr)
3. Midterm 3 for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2005
Sample Exam 3 and Solutions, Exam date Apr 20 (pdf), updated Sat 16 Apr 2005
Exam 3 and Solution Key 7:30 (pdf)
Exam 3 and Solution Key 10:45 (pdf)
4. Final Exam for 2250-1 and 2250-2 (7:30am or 10:45am) Spring 2005
The 7:30 section exam is 7:45am May 4. The 10:45 section exam is 10:10am May 3.
Study guide for the final exam, Spring 2005
Sample 2250 7:30 final Exam. The actual 2250 final exam from Fall 2004
Grading key for the 10:45 Fall 2004 2250-2 final Exam.
Answers only, sketch of solution. Yes, this is 5 months old.
5. Final Exam Keys Spring 2005 7:30 and 10:45 2250 classes
7:30 2250-1 Final Exam Grading key (pdf)
10:45 2250-2 Final Exam Grading key (pdf)

# 2250 Syllabus and Gradesheet Spring 2005

1. Gustafson's 2250 (7:30am or 10:45am) course syllabus Spring 2004
pdf postscript syllabus (124k)
Engineering differential equations, Edwards-Penney
2. 2250 [7:30am and 10:45am] Tentative due dates for submitted work Fall 2004. To be updated S2005.
Tentative due dates (pdf)
3. Gustafson's 2250 (7:30am or 10:45am) gradesheet Spring 2005.
4. 2250 format for submitted work
How to improve your written work

# DE and Linear Algebra Lecture Slides Spring 2005

Updated: Thu Feb 3 09:50:01 MST 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 (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)
Eigenanalysis manuscript F2004 (PDF 13 pages, 165k)
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: Thursday 24 Feb 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. 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)
11. Undetermined coefficients manuscript
Fall 2004: Read the first and third manuscripts. Others are extended theory.
undetermined coefficients (PDF 8 pages)
undetermined coefficients II (PDF 16 pages)
variation of parameters (PDF 6 pages)
Cauchy's kernel (PDF 5 pages)
Document on undetermined coefficients, Kummer's method, Table method (2k text)
12. Laplace transform manuscript
PDF Document (35 pages, 288k)
13. Heaviside coverup method manuscript
PDF Document (4 pages, 86k)
14. Eigenanalysis manuscript. Updated S2005.
Eigenanalysis-I manuscript S2005 (PDF 19 pages, 145k)
PDF Document (13 pages, 165k)
15. Laplace Theory manuscript
PDF Document (34 pages, 300k)

# Old Maple labs 2250 Fall 2004

1. Old Maple labs 2250 from Fall 2004
2. Maple Lab 3b, Earthquakes
quake project Spring 2004 (PDF)
quake project Spring 2004 worksheet .mws (Shift-click to write file to disk)
quake project Spring 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
2. Link to Spring 2004 Eng Math documents
3. Link to Fall 2003 Eng Math documents
4. Link to Spring 2003 Eng Math documents
5. Link to Fall 2002 Eng Math documents
6. Link to Spring 2002 Eng Math documents
7. Link to 2000-2001 Eng Math documents
8. Link to 1995-1999 Eng Math documents
```        Grant B. Gustafson