Tutoring in WEB 1622 is staffed every weekday, lecturers and teaching assistants:
Times and Staff WEB1622
If you discover a mistake or bad link, then please write to the email address
on the doorcard posted Here.
Click here to learn about The first Homework, 1.2-2 due Jan 14 and HW1 due Jan 21.
Abbreviations:
EP = Edwards-Penney, Differential Equations and Linear Algebra 3/E
EPbvp = Edwards-Penney, Differential Equations and Boundary Value Problems, any edition
EPH = Edwards-Penney-Haberman hybrid textbook for Utah, 2013 (the required textbook)
1.2-2: This is the first homework problem. A copy is submitted for review on Jan 14 and returned ungraded, with style comments, on Jan 16;
details Here
1.3-8: Print and use the graphic Here.
Email Messages. Please update your email address at the Registrar's web site
Here
Canvas
will be used during the semester to communicate grades and
publish messages; see the syllabus Here for more info.
Book supplements are sections 3.7 and 7.6 from any edition of the 2280 book,
Edwards-Penney Differential Equations with Boundary Value Problems, available for checkout from the math center.
Available as PDF files from Professor Korevaar [Google search "EP3.7.pdf" and "EP7.6.pdf"]:
Section 3.7 EP3.7.pdf HERE
Section 7.6 EP7.6.pdf HERE
WEEK 1, Jan 12-16 Key Examples Lecture details
======
1.1; differential equation, mathematical model.
1.2; integral as a general or particular solution.
1.3; slope field.
1.4; separable differential equation.
Submit Exercise 1.2-2 on Wed Jan 14 for review. Returned with comments on Fri Jan 16. Details Here.
Quiz1 Sample and Quiz1 Sample Solutions.
Take-home Quiz1 and Homework HW1 due next Wednesday.
Thursday Lab 1 Here.Ziwen Zhu intro on Jan 15. Lab due next Thursday.
Tuesday Problem Session Photo Directory Here
WEEK 2, Jan 19-23 Key Examples Lecture details
======
Monday Holiday, Martin Luther King. No classes.
1.5; linear differential equation.
EPbvp 3.7; LR and RC circuits.
2.1, 2.2, 2.3; mixture model, population model, cascades, equilibrium solution,
stability, acceleration-velocity models.
Quiz2 Sample and Solutions with graphs
Take-home Quiz2 and Homework HW2 due next Wednesday.
Thursday Lab 2 Here.
Tuesday Problem Session Photo Directory Here
WEEK 3, Jan 26-30 Key Examples Lecture details
======
2.3; escape velocity, Jules Verne problem.
2.4, 2.5, 2.6; numerical solutions.
Quiz3 Sample and Solutions
Take-home Quiz3 and Homework HW3 due next Wednesday. Numerical Project PDF here
Numerical maple and matlab resources Directory Here
Thursday Lab 3 Here.
Tuesday Problem Session Photo Directory Here
WEEK 4, Feb 2-6 Key Examples Lecture details
======
3.1, 3.2, 3.3; linear systems, matrices, Gaussian elimination;
3.4; reduced row echelon form.
Quiz4 Sample and Solutions
Take-home Quiz4 and Homework HW4 due next Wednesday.
Thursday Lab 4 Here.
Numerical maple, matlab and Wolfram Alpha resources Directory Here
Tuesday Problem Session Photo Directory Here
WEEK 5, Feb 9-13 Key Examples Lecture details
======
3.4; continue reduced row echelon form.
3.5; matrix operations, matrix inverses.
3.6; determinants.
Quiz5 Sample and Solutions
Take-home Quiz5 and Homework HW5 due next Wednesday.
Thursday Lab 5 Here.
PDF corrected: In Lab 5, Problem 3, replace gal=gram, L=liter, m=minute
both in the text and in the figure. An x_2 was missing in an array.
MuPad, Matlab examples PDF
Tuesday Problem Session Photo Directory Here
WEEK 6, Feb 16-20 Lecture details
======
Monday Holiday, President's Day. No classes.
4.1; vector spaces, linear combinations in R^n.
4.2; span and independence.
4.3; subspaces.
Study Sample Exam 1 and Sample Exam 1 Solutions for Friday, Mar 6.
Exam 1 covers topics from week 1 to Friday of week 6.
Study for matching content Old 2250 Examswhich used Edwards-Penney.
Quiz6 Sample and Solutions
Take-home Quiz6 and Homework HW6 due next Wednesday. Technology use expected.
Thursday Lab 6 Here.
Tuesday Problem Session Photo Directory Here
WEEK 7, Feb 23-27 Lecture details
======
4.4; bases and dimension.
4.7; abstract vector spaces and solution space of a DE.
5.1, 5.2; second-order linear DE, general solutions, superposition.
Study Sample Exam 1 and Sample Exam 1 Solutions for Midterm 1 on Mar 6.
Study for matching content Old 2250 Examswhich used Edwards-Penney.
Quiz7 Sample and Solutions
Take-home Quiz7 due Wednesday March 11 after the exam.
Homework HW7 due Wednesday March 11 after the exam.
Thursday Lab 7 is Exam 1 Review. No lab due in Week 8.
Tuesday Problem Session Photo Directory Here Includes sample exam 1 problem 6.
WEEK 8, Mar 2-6 Lecture details
======
5.3; constant coefficients.
5.4; mechanical vibrations, phase-amplitude, pendulum model.
EPbvp 3.7; circuits.
Quiz8 Sample with interleaved solutions.
Take-home Quiz8 and Homework HW8 due Friday, March 13.
Thursday Lab 8 Here.
Study Sample Exam 1 and Sample Exam 1 Solutions for Midterm 1 on Mar 6.
Study for matching content Old 2250 Examswhich used Edwards-Penney.
Tuesday and Wednesday Problem Sessions Photo Directory Here Includes sample exam 1 problems 1,2,3,4,6,7,8.
Friday Feb Midterm Exam 1 over Week 1 to Week 6.
Midterm Exam 1 Solutions
WEEK 9, Mar 9-13 Lecture details
======
5.5; variation of parameters.
5.5; undetermined coefficients.
5.6; forced oscillations, resonance and mechanical vibrations.
Quiz9 Sample with interleaved solutions.
Take-home Quiz9 and Homework HW9 due the Wednesday after Spring Break.
Thursday Lab 9 Here. See also Ziwen's site for updates Sample Lab 9.
No photos from the Tuesday Problem Session, due to camera failure. We looked at Quiz 7, Lab 8, Ex 5.2-18.
Lab 9 and Quiz 9 solutions appear in the Tuesday Problem Session week 11 photo directory, infra.
WEEK 10, Mar 15-22 is Spring Break. No classes.
=======
No Lab10. No Quiz10. No HW10.
WEEK 11, Mar 23-27 Lecture details
=======
10.1, 10.2; Laplace transform intro, solving a DE with transforms.
10.3; Laplace transform rules.
7.1; Intro to systems for Laplace theory.
10.4; partial fractions, s-differentiation, shift theorem.
EPbvp 7.6; impulse response. Dirac impulse approximations.
Tuesday Problem Session Photo Directory Here Includes Lab9, Quiz9, 10.1-28, maple code
Quiz11 Sample with interleaved solutions.
Take-home Quiz11 and Homework HW11 due next Wednesday.
Thursday Lab 11 Here. [No Lab10, spring break was week 10]
WEEK 12, Mar 30 to Apr 3 Lecture details
=======
10.5; Unit step, ramp, convolution. Second shifting theorem.
6.1; eigenanalysis, eigenpairs.
6.2; Fourier's model.
Tuesday Problem Session Photo Directory Here Includes Quiz11, HW11, maple code
Quiz12 Sample with interleaved solutions [Edit: 56.5 changed to 56.3]
Take-home Quiz12and Homework HW12, both due Monday 13 April.
Thursday Lab 12 Hereand Sample Lab12 Here
April 17: Midterm Exam 2 will have topics from weeks 7 to 12, including section 7.1.
Study Sample Exam 2and Sample Exam 2 Solution keyfor Friday, Apr 17.
WEEK 13, Apr 6-10 Lecture details
=======
6.2; Diagonalization, AP=PD, Fourier's model.
6.3; Google search and the power method, Cayley-Hamilton Theorem.
7.1; intro to first-order systems of ODE. System conversions.
7.2; Matrix systems of DE
Tuesday 7 Apr Problem Session: HW12, Quiz12, Lab12 , blackboard photo directory
Study Sample Exam 2 and Sample Exam 2 Solution key for Friday, Apr 17.
Quiz13 Sample questions onlyand Sample solutions
Take-home Quiz13due Monday after Exam 2.
Homework HW13due Monday after Exam 2.
Thursday Lab 13 Here.Due May 6 under the door JWB 113, or earlier.
Extra Credit Ch1-Ch5 only due May 6. Adds to HW score.
Extra Credit Maple Projects (Not Ziwen's Extra Credit Labs) due Friday, May 1. Adds to HW score.
WEEK 14, Apr 13-17 Lecture details
=======
7.3; eigenanalysis method, spring systems, unforced undamped systems.
7.4; systems and practical resonance.
Take-home Quiz ended in week 13.
Homework HW14due May 6 under the door 113 JWB.
Thursday Lab 14 Sample from 2014 Here.
Labs end with Lab13; see week 13.
Study Sample Exam 2 questions only.
Reference Sample Exam 2 Answers and Solutions
Tuesday Review Sessions in WEB 1250 and WEB 2250 Photo Directory Here
Friday 17 April: Midterm Exam 2 starts at 7:30am.
Exam 2 Solution key (posted May 1)
WEEK 15, Apr 20-24 Lecture details
=======
7.4; systems and practical resonance. Continued.
9.1; equilibria, stability.
9.2; phase portraits for non-linear systems.
9.3; populations and ecological models;
Thursday Lab 15 Sample from 2014 Here.
Labs end with Lab13; see week 13. This week's Lab is Final Exam Review, by Ziwen Zhu.
Homework HW15 due by 6pm Wednesday May 6 under the door JWB 113.
Tuesday Review Sessions in WEB 1250 Photo Directory Here Exercises 7.3-8, 7.3-30, 7.4-24
Study the Sample Final Exam Questions and Answers
Study the Final Exam Study Guide
WEEK 16, Apr 27-28 Lecture details
=======
9.4; nonlinear mechanical systems
Tuesday Review Sessions in WEB 1250 Photo Directory Here Sample final Ch9 and Ch10.
Chapter 9 examples with graphics Directory Here
Tuesday Review Session Photo Directory Here Sample final Ch3, Ch7 + others.
Sample Final Exam. Covers Chapters 1, 2, 3, 4, 5, 6, 7, 9, 10. Comprehensive Final Exam review.
Study the Sample Final Exam Questions and Answers
Study the Final Exam Study Guide
WEEK 17
=======
Finals week: Comprehensive final exam, Wednesday May 6, 7:15-10:15 a.m. in WEB 1230.
Homework HW15 due by 6pm, under the door 113 JWB, Tuesday May 5.
May 6, Final Exam S2015 Questions only(posted May 15)
May 6, Final Exam S2015 Questions and answers(posted May 15)
(he
- Updated due dates (Tuesday, 06 January 2015 at 05:33AM,
4.4K html)
- Extra credit Extra
Math and Technology Problems to Cancel Zeros and Fifties.
- Problem notes FAQ,
Solution Notes for Exercises and Extra Credit Maple Projects.
- Reading
Textbook Reading Schedule and WEB Site lecture links
- Lectures What
happened in class? Lecture material, slides and
references.
- Click here for
Notebook Computer files: lecture slides, manuscripts and documents.
The midterm exam dates are Fridays Mar 6, Apr 17.
The Final Exam is on Wednesday May 6, 2015 at 7:15am.
Click
here for all sample exams, solution keys and
study guides for this semester.
Also linked here are old exam keys for the last 5 years.
- Gustafson's 2250 8:05am syllabus S2015.
syllabus
- Gustafson's 2250 book mark with problem list (130 problems to be graded)
S2015.
Book Mark
- Gustafson's 2250 Roster and Majors S2015.
Roster (pdf)
- 2250 format ideas and suggestions: How
to improve written reports.
- Khan Academy
Video Tutorials on Differential Equations and Linear Algebra
- Learning Math
Peter Alfeld's Guide to Understanding Mathematics
Mail, Phone, Email Address
Mail address:
Grant B. Gustafson
155 South 1400 East Room 233
Salt Lake City, UT 84112-0090
Office phone: (801) 581-6879
For email address,
click here for the doorcard.
Maple Tutorials
- Examples for the impatient. A small command set for Maple, MuPad and MatlabPDF
- Starting Maple, MuPad, Matlab from a remote terminal login. Text interface, no graphics.TEXT Here
- Maplesoft Quick Reference Cards Click
Here
- Douglas Meade's Quick Reference Card for Maple 12 to 17
Click Here
- A rookie maple tutorial for the impatient from Indiana
University Click
Here
- Maple programming examples by topic from Kettering
University Click
Here
- Utah Maple tutorial 2015 in html format
Used in LCB115 maple intro lectures.
Click Here
- How to use maple 18 under unix, windows, OS/X (text)
Here
- Maple graphics and low speed internet
Maple at home
- Peter Stone's Maple Resource page
for undergraduate math topics
Click Here
Matlab Tutorials
- A one-page pdf Matlab cheat sheet from Strang's linear
algebra course at MIT Click
Here
- A matlab tutorial at MIT, contains basic information. No video camera, only code examples and text information. Link is HERE
- Mathworks matlab tutorials and documents are HERE. Register for the short tutorials, then try a few using your univ of Utah computer account. Matlab has a site license
valid for all campus computers.
Mathematica Tutorials
- Printed or free PDF tutorials on special topics are available at Wolfram Research: HERE
- New users can start with John McLoone's YouTube video (2010) HERE
- A complete set of short tutorial videos are available at Wolfram Research, addressing special topics HERE
- Wolfram videos and screencasts cover a wide range of applications and interests. See Wolfram Broadcast Videos
FLASH Animations, Science Applications
- The 85 physics animations in the link below are
Copyright 2002-2011 David M. Harrison, Dept. of Physics,
Univ. of Toronto.
Harrison's
physics animations
A high percentage of the areas covered in the 85
animations touch the subject matter of this course:
Chaos, Classical Mechanics, Electricity and
Magnetism, Micrometer Caliper, Miscellaneous,
Nuclear, Optics, Oscilloscope, Quantum Mechanics,
Relativity, Sound Waves, Vectors, Waves.
- The physics animations in the link below are
Copyright 1998-2014 Dan Russell, Dept. of Physics,
Kettering Univ. See in particular the movies and
animations for harmonic motion, forced oscillations
and resonance.
Dan
Russell's physics animations
- Dan Russell has returned to Penn State as Professor of Acoustics.
See Russell's Demo Collection 2014
* Simple Harmonic Oscillator - with and without damping, transfer of energy between kinetic and potential forms
* Damped Harmonic Oscillator - underdamped, overdamped, and critically damped
* Forced Harmonic Oscillator - transient and steady state response to a force applied to the mass
* The Simple Pendulum - comparing the linear approximation (small angle) with a real pendulum
* Coupled Oscillators - energy transfer between two mass-spring systems coupled together
* Dynamic Absorbers - J.P. Den Hartog's classical undamped tuned dynamic absorber
* Tacoma Narrows Bridge - (0.668 MB mpeg movie) - resonance and aerodynamic flutter, historical film 1940