University of Illinois at Urbana-Champaign
Department of Mathematics
Math 285 - Spring 2004
Orange & Blue Bar

Differential Equations and Orthogonal Functions

Section  M1TuTh  9:00 -  10:20am in 245 Altgeld Hall
 

Instructor | Tutoring | Text | Syllabus | Grading | Resources | Homework | Quizzes and Exams | News and Announcements |Lecture Log
 IODE software
 

Instructor

Professor Steven Bradlow [bradlow@uiuc.edu]
Office: 238 Illini Hall
Office Hours: 8:00-10:00am Wednesday, or by appointment
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Tutoring Service

Tutors for all Math 285 students are available Monday to Thursday:
3pm-5pm in Altgeld 443 and
7pm-9pm in Altgeld 241.

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Text

Differential Equations with Boundary Value Problems: Computing and Modeling (3rd edition)
by C. Henry Edwards and David E. Penney (Prentice Hall , 2003)
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Syllabus

                    Chapter 1, Sections 1-6
                    Chapter 2, Sections 1,3
                    Chapter 3, Sections 1-6, 8
                    Chapter 9, Sections 1-7
                    Chapter 10 Sections 1-3

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Grading:

Your grade for the course will be determined by a weighted average of your scores for homework,  quizzes,
two midterms and a final.   The weights of each will be:
Homework      =   10%
Quizzes           =    20%
Midterm1        =   20%
Midterm2        =   20%
Final                =   30%

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Resources

IODE (for "Illinois" and "ODEs"; rhymes with diode) is an educational software package specifically designed for Math 285.
It can be used to explore

To find out more about what it can do, where to find it, and and how to use it, click here.

Prentice Hall has a useful website for the Edwards and Penney textbook.  Look here for an ODE solver, worksheets, animated demonstrations
 
  


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Homework

Homework will be assigned each class and posted at this website. The homework from the week ending the preceding
Thursday will be collected on Thursday.  A (small) subset will be graded.

Assignment 1  Assignment 2  Assignment 3  Assignment 4  Assignment 5  Assignment 6  Assignment 7

Assignment 8  Assignment 9  Assignment 9(Part II)  Assignment 10  Assignment 11   Assignment 12

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Quizzes and Exams

Short (approximately 10 minutes) quizzes will be given in class roughly every second week. These will cover only the work of the preceding two weeks. In addition here will be two in-class midterms and a final exam. Dates and syllabi will be announced at least one week in advance.  The (tentative) dates for the midterms are Thursday February 26 and Thursday April 15.

Quiz Solutions:
Here are solutions to:  Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5



Midterm 1:
When:  9:00-10:20 am on Thursday February 26
Where:  Altgeld 245
Syllabus:  Sections 1.1-1.6; 2.1;  3.1-3.3
Study Aid, including a summary of (most) key ideas and results. WARNING: This is only an aid  to - i.e. not a substitute for - your studying.
[Calculators not needed (and thus not permitted)]
Solutions
Average Grade: 61/80



Midterm 2:
When:  9:00-10:20 am on Thursday April 22
Where:  Altgeld 245
Syllabus:  Sections 3.4-3.6, 3.8, 9.1-9.6
Study Aid, i.e. a summary of (most) key ideas and results. WARNING: This is only an aid  to - i.e. not a substitute for - your studying.
[Calculators not needed (and thus not permitted)]

Solutions
Average Grade: 49/65

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Final

When:  8:00-11:00 am on Friday  May 7
Where:  The usual classroom, i.e. Altgeld 245

Syllabus:  Sections 1.1-1.6; 2.1;  3.1-3.6, 3.8, 9.1-9.7, 10.1-10.2 (heat equation example only)

The applications (in sections 1.4, 2.1, 2.3, 3.4, 3.6) are part of the syllabus, but will not be emphasized.

In particular, you will not be expected to know any of the physics or biology!

[Calculators not needed (and thus not permitted)]

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News and Information

Click here for the latest news

  1/27/04: Since the problems on Assignment 1 come from the 2nd edition of the book, I have
added a copy of the relevant pages of that book to this Website. If you've already done some problems
in the 3rd edition you can hand those in instead of the correspondingly numbered ones in the 2nd edition.

1/26/04: Quiz 1 will be on Thursday January 29 and will cover Sections 1.1 - 1.3
2/5/04:   Quiz 2 will be on Thursday February 12 and will cover Sections 1.4 - 1.6 and 2.1
2/12/04: Information about the (a) software package IODE , and (b) Math 285 tutoring service
has been added to this website.
2/18/04:
1. Look here for solutions to Quiz 1 and Quiz 2.
2. Look here for information about the first Midterm.
3. Hint for problem  43 in section 3.3: look at problem 36!
2/22/04: Look here for a Study Aid for the first midterm. This is only an aid to your studying. It is not a substitute for
doing your own studying!
3/1/04:
1. Quiz 3 will be on Thursday March 11 (material covered will be announced soon!)
2. Homework 6 is due on Tuesday March 9 (i.e. NOT this Thursday)
3. Look here for solutions to Midterm 1
3/4/04:  Quiz 3  (on Thursday March 11) will cover Section 3.4 and Section 3.5 up to page 204, i.e.
NOT including Variation of Parameters.
3/17/04: Quiz 4 will be on Thursday April 1 (i.e. the first Thursday after the midterm break). It will cover
variation of parameters (section 3.5), and Sections 3.6 and 3.8.
3/24/04:

4/05/04:
1. About Homework 9: I forgot to link the updated  Homework 9 webpage to the correct website.
Thus the problems from Section 9.3 will NOT be due tomorrow. I have put them in a separate Homework 9(Part II),
which is due on Thursday April 8.  Homework 10 will be due on Thursday April 15.
2. The second midterm will be on Thursday April 22 (i.e. one wek later than the original estimated date). Watch here for more details.
3. The next quiz will be on Thursday April 15.

4/09/04:
1. Quiz 5 on Thursday April 15 will cover sections 9.1-9.4
2. A Study Aid for Midterm 2 can be found here.

4/20/04:  I will be out of town the rest of the week. In particular, I will not be in my office tomorrow
morning during the regular office hours. Sorry!

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Lecture Log (i.e. what was done in class)

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Last modified May 4, 2004