Math 302 Differential Equations

Spring 2009   (CRN 46174)    Ed Bueler

Ed Bueler: ffelb@uaf.edu, x7693
Office: Chapman 301C (Hours)

Class times and rooms:
     MWF 9:15--10:15
         Gruening 208

Text
:
  • Nagle, Saff & Snider, Fundamentals of Differential Equations, 7th edition
Syllabus  (revised)


LINKS:

 Schedule:  (version 5/4/09)

Day Sect
Topic
Assigned or Due
1/23 Fri
1.1
intro
A#1 due Fri 1/30:
  1.1 # 2,4,8,14,16
  1.2 # 4,8,10,14,16,19,24
  1.3 # 2,3,4,5,6,10a,
           10c,10d,12,16,18
1/26 Mon
1.2
solutions, and when there is one

1/28 Wed
1.3
direction fields

1/30 Fri
1.4
Euler's method, the obvious approximation
A#1 DUE
A#1 Solutions (PDF)
A#2 due Mon 2/9:
  1.4 # 2,8,10,11,12
  2.2 # 1,3,4,8,10,12,13,18,
            22,38
  2.3 # 2,3,4,8,9,12,18,24,
            25a,30
  Group: project C, "Magnetic
      dipole", on pp. 33-34
2/2 Mon
2.2
separable eqns

2/4 Wed
2.3
linear eqns

2/6 Fri

linear cont

2/9 Mon
2.4
exact eqns
A#2 DUE
A#2 Solutions (REVISED; PDF)
A#3 due Mon 2/16:
  2.4 # 2,4,6,10,12,14,15,22,
            26,27,28,30,32
  2.6 # 10,12,13,14
  3.2 # 2,6,8,10,18,20,25,26 
2/11 Wed
2.6
exact cont; "homogeneous" eqns

2/13 Fri
3.2 compartmental analysis
2/16 Mon
3.4
Newtonian mechanics
A#3 DUE
A#3 Solutions (PDF)
A#4; underlined are due Fri 2/27:
  3.4 # 2,8,18, 3,12,14,24
  3.5 # 1,2, 3,7
  3.6 # 2,8, 3,7,10
2/18 Wed
3.5
electical circuits

2/20 Fri
3.6
improved numerics

2/23 Mon

MIDTERM #1
covers sections 1.1, 1.2, 1.3, 1.4, 2.2, 2.3, 2.4, 2.6 (homogeneous only), 3.2
SOLNS TO MIDTERM #1

(SAMPLE EXAM,
SOLNS TO SAMPLE EXAM)

in class exam; no calculators or notes or book
2/25 Wed
4.1
numerics cont; 2nd order eqns

2/27 Fri

2nd order linear eqns cont

plot of A(Omega), B(Omega) for synchronous solutions of y''+3y'+2y=sin(Omega t)
A#4 DUE (underlined only; others not collected)
A#4 Solutions (PDF)
exer3pt6num8.m

3/2 Mon
4.2
homogeneous case: real roots
A#5 due Mon 3/16:
4.1 # 1,2,3,6,8
4.2 # 2,4,8,11,14,16,20,21,
         22,28,29,30,38,39,43
4.3 # 2,4,8,11,14,18,22,24,
         28,31abc,34,35
3/4 Wed
4.3
homogeneous case: complex roots

3/6 Fri
4.4
non-homogeneous: undetermined coeffs

3/9--3/13

SPRING BREAK

3/16 Mon
non-homo. cont. A#5 DUE
A#5 Solutions (PDF)
exer4pt3_28.m
A#6 due Mon 3/23:
4.4 # 2,3,10,12,14,16,22,28,30,34
4.7 # 10,11,14,30,32,38,46,47,49
Group project. IDE lab "11. Forced Vibrations: an introduction":
   lab as PDF
   IDE Tool
3/18 Wed
4.7 variable coeffs: Cauchy-Euler and reduction of order

3/20 Fri

cont; variation of parameters

3/23 Mon 4.8
energy
A#6 DUE
A#6 Solutions (PDF)
A#7 due Mon 3/30:
4.7 # 33
4.8 # 2,5,6,7,8,11,17
4.9 # 4,6,8,16,17a,18
3/25 Wed
4.9
cont; a bit more on mass-spring systems

3/27 Fri

cont

3/30 Mon 5.1,5.2
systems of first-order equations, like connected tanks of fluid
A#7 DUE
A#7 Solutions (PDF)
exer4pt9_4.m
4/1 Wed

cont
A#8 due Mon 4/13:
5.2 # 2,3,6,8,19,20,31,32,38
5.3 # 2,5,6,10,13,16,19 [16&19 use Euler if not RK]
   correct answer to #11 in 5.3, for reference
5.4 # 1,4,5,8,10,12,14,15,20,21,31
Euler's method for systems applet
4/3 Fri



4/6 Mon
MIDTERM #2
covers sections 3.4, 3.5, 3.6, 4.1, 4.2, 4.3, 4.4, 4.7, 4.8, 4.9
SOLNS TO MIDTERM #2

4/8 Wed



4/10 Fri
5.3
Euler's and other methods for systems

4/13 Mon 5.4
phase plane picture
A#8 DUE
4/15 Wed
7.2
Laplace transform
A#8 DUE  REVISED
A#8 Solutions (PDF)
A#9 due Mon 4/27:
7.2 # 2,4,6,10,14,15,20,22,23,25,27,
          29abde
7.3 # 1,6,7,10,12,13,18,19,21,24,25,
          29,30,31,32,35
7.4 # 2,5,6,8,13,14,16,18,25,26,27,28
4/17 Fri
7.3 cont

4/20 Mon
7.4 computing inverse Laplace transform

4/22 Wed
7.5 solving ODEs with Laplace
A#10 due Fri 5/1:
7.5 # 3,4,7,8,16,26,30
8.1 # 2,3,4,5,6,8,13
4/24 Fri

springfest: no class

4/27 Mon 8.1 Taylor series
A#9 DUE
A#9 Solutions (PDF)
4/29 Wed
8.2
manipulating series
5/1 Fri
8.3
series solutions of ODEs
A#10 DUE
A#10 Solutions (PDF) slightly revised
A#11 not due! (but covered on final)
8.2 # 1,3,5,8de,9,11,13,19,21,23
8.3 # 11,13,19,23,25,29
5/4 Mon
regular class day: finish up, and review for final
A#11 Solutions (PDF)
5/8 Fri

FINAL EXAM
8:00--10:00 am
IN CLASS
emphasis (75%) on sections 5.2, 5.3, 5.4, 7.2, 7.3, 7.4, 7.5, 8.1,  8.2, 8.3; older material as needed; some problems compare older methods to new methods; about 25% review material
Download Adobe's Acrobat Reader for free to view PDF files.                                     doc info