Quizzes: A total of 9 (15 minute) quizzes are scheduled. Your quiz percent (Q above) is to be computed from your best 8 quiz scores. Missed quizzes are recorded as zero. Most quizzes occur on Fridays and all occur at the end of class. The material covered in quizzes will be announced in class during the week of the quiz. All quizzes will be closed book.

Exams: All Midterms and the Final are closed book. The Final exam is not comprehensive. The content of each exam will be announced at the review preceding the exam.

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Section   Problem Numbers
.     .
1.1   2,3,6,11,13,15,17,20,23,27,29
1.2   1-10 (integration review), 15, 29
1.3   1,3,12,14,15,19,27
1.4   1-17 (odd), 19, 20, 24,25,28,33,37,43
.     .
.     Quiz 1
.     .
1.5   1-21 (odd) 
1.5   26 , 27 (both done by letting x=x(y))
1.6   2,3,5,8,9,10 (all homogeneous)
1.6   16,17 (substitution)
1.6   19,21,23 (Bernoulli equations)
1.6   26 (v=y^3), 28 (v=e^y)
.     .
.     Quiz 2
.     .
1.6   31, 34, 35, 37 (Exact equations)
1.7   deleted from syllabus
1.8   deleted from syllabus
.     .
.     
 Some Review Problems for Midterm 1
.      Midterm 1 
.     .
.     .
1.6   43, 46, 53 (Reducible 2nd order diff. eqns.)
2.1   2,3,5,10,11,17,20,24,25 (IVP, theory)
2.1   33-40 (general solutions: const. coeff)
2.3   6-9 (general solutions: const. coeff)
2.1   51 (read), 52-55 (Euler Equations)
2.2   21-24 (Nonhomogeneous, 2nd order)
.     .
.     Quiz 3
.     .
2.3   11,13,14,15,16,18,24 (IVP)
2.3   27 (r=1), 28 (r=-1), 33 (r=3 since y=e^(3x))
2.5   1,2,3,4,31, and 5) on Review Problems below
.     .
.     Quiz 4
.     .
2.5    47,49,52 and 6) on Review Problems below
.     .
 Some Review Problems for Midterm 2
.     Midterm will also include reducible problems resulting
.     in separable or linear first-order equations
.     .
.      Midterm 2 
.     .
2.4   14, 15, 17, 18, 22
2.6   Should briefly read but deleted from syllabus
3.1   1,2,5,6,9,13
3.2   1-6 (find the recurrence relation and first few terms of each solution)
3.3   deleted from syllabus
3.4   deleted from syllabus
.     .
.     Quiz 5
.     .
4.1   1,2,3 (Hint: e^(3t+1)=e^1 * e^(3t)), 7,8, 11-16
4.1   17, 18 (Trig Identities), 20, 21

4.2   1-7 (for quiz only find the transform of the solution)
.     .
.     Quiz 6 
.     .
4.2   3,4,6,9,10 (Solve the Initial Value Problems)
4.3   1,2,3,5,6,7,8,9 (Shift property)
4.3   11-16 (Partial Fraction Expansions)
4.3   27-29 (Solve the Initial Value Problems)
.     .
.     Quiz 7
.     .
4.4   29-32 (Power Rule - do not invert!)
4.4    15,20,22
4.4   7-12 (Convolution Theorem - do not evaluate the integral)
4.5   deleted from syllabus
.     .
 Laplace Transforms is a Table of Laplace Transforms
which will be distributed during the Midterm below. You
will not be permitted other materials during the exam.

 Some Review Problems for Midterm 3
.     It will NOT cover anything from Chapter 2. 
.     It will contain all the material we covered in 3.1-3.2,4.1-4.4.
.     For some problems will will need to be able to 
.     solve simple separable first order equations (i.e.,Rev3, #5c)-d))
.     .
.      Midterm 3 
.     .
5.1   1,3,5,8
5.1   11,12,13,18,19 (Don't do the phase portrait drawing)
5.2   1-4, 12, 14, 23, 24
.     .
.     Quiz 8
.     .
5.3   1,3,4,5,6  (getting your feet wet with matrices)
5.3   11-18      (writing systems in matrix form)
5.3   21-23      (checking solutions are independent)
5.3   31-33      (solving initial value problems)
5.4   1-7        (Eigenvalue method (real-distinct): don't do phase portraits)
.     .
.     Quiz 9
.     .
5.4   8-12        (Eigenvalue method: complex case)
5.5   deleted from syllabus
5.6   1-4
.     .
 Some Review Problems for the Final
.     Covers Chapter 5 material listed above. 
.     For the Method of Elimination you may need to
.     review solving constant coefficient differential
.     equations, i.e., ay''+by'+cy=0 and simple fourth-order.
.     The review above does not have examples of this method
.     nor casting systems in matrix form.
.     .
.      Final  
.      Wednesday, December 14, 10:00-11:50am
.      Wilson 1-122
.     .

The scientific process

Course Summary and Policy a PDF file summarizing grading, schedule, etc. Same as handout given out first day of class.

Partials is a short writeup explaining what "partial" derivatives are. This is needed to state the existence and uniqueness Theorem for first order differential equations.

Second Order Equations is a short summary of theory and solutions of second order differential equations.

Dfield a link to an interactive Java applet for "dfield" - a program for generating slope fields of first order equations. For students who own a copy of "Matlab" a version of dfield which can be called within Matlab can be obtained off the same link.