Office: B1H MLH Phone: 319-335-0778 Email: idarcymath+100 AT gmail.com or isabel-darcy AT uiowa.edu
You may bring a 3x5 card to the exam, but no calculator.
Newly posted handouts:
Exam 2,
answers ,
9.3
Syllabus
HW 1 (due 2/6)
1-1,
onto,
bijection
1.1: 1,2,11,14 - 20all, 28;
1.2: 1,7,8,9,14,17;
1.3: 1, 3, 5, 9
2.1: 1c, 2c, 8c, 18, 19
2.2: 1, 2, 13, 14, 25
HW 2 (due 2/13) -- note same day as first quiz
2.3: 7-10, 16, (20-23)a, 25a, 29
2.4: 1, 2, 8, 9, 15, 16, 21 - 25, 27 - 31, read 32
p. 134, 135: 36, 42, 47 (note p. 134,5 in 9th edition = p. 133 in
8th)
AND
HW 3 (due 2/20)
p. 134, 135: 48-51 (note p. 134,5 in 9th edition = p. 133 in
8th)
2.5: 8 (also draw the direction field), 12, 15, 20, 22
3.1: 2, 5
A.) By giving a specific counter-example, prove that the following
functions
are not linear functions: i) f(x) = \sqrt{x}. ii) g(x) =
1/x
B.) Prove that the following functions in a linear function: h(x) =
4x
HW 4 (due 2/27)
(if you are using the 8th edition, see
conversion
)
3.1: 8, 11, 14, 17, 21
3.2: 1, 2, 3, 9, 10, 13, 14, 15
3.3: 1, 9, 12, 15, 18, 21
3.4: 3, 9, 12, 14
HW 5 (due 3/6)
(if you are using the 8th edition, see
3.5
conversion
)
3.5: 1, 3, 9, 13, 19a, 21a, 22a
5.1: 7, 8, 12, 13, 24, 28
HW 6 (due 3/13)
5.2: 2, 7, 9, 12, 22
Note this is LONG HW assignment. You must provide complete answers
including induction proofs.
a.) Find the recurrence relation for the power series solution about the
given point x_0
b.) Find the first four terms in each of two solutions y_0, y_1 (unless
series terminates
sooner).
d.) Find the general term, a_n, and prove it. Determine the general
solution y = a_0y_0 + a_1y_1 and
determine the radius of convergence
c.) Show y_0 and y_1 form a fundamental set of solutions by evaluating
the Wronskian at x_0
Note that a - d applies only to the first 4 problems. For 22, you
only need to approximate the
solution with a cubic polynomial for 22b.
For more on series solutions see Paul's
Online Math Notes
(for printing select pdf chapter notes)
HW 7 (due 3/27) [except for 5.3:20, this is a short HW assignment, so get
an early start on long HW 8]
5.3: 8, 9 (but only for 5.2: 2, 7, 9, 12), 20
5.4: 2, 3, 4, 7, 10, 24
for 8th edition conversion, click here
HW 8 (due 4/3) [long assignment]
7.2: 4, 23, 25
7.3: 15, 16, 17
4.1: 4, 6, 7, 8, 18, 19bc
5.5: 3
for 8th edition conversion, click here
HW 9 (due 4/10)
7.5: 1a, 5a, 7a, 19, 24, 25, 27
7.1 (use matrix form): 4, 5, 6, 7, 15
for 8th edition conversion, click
here
HW 10 (due 4/17)
5.5: 7 (you must provide complete answers including induction proof and
determine radius of convergence.)
7.4: 1, 5
7.6: 4, 10
for 8th edition conversion, click here
HW 6 redo due 4/11 by noon
HW 11 (due 4/24 at the beginning of class)
9.1: 20, 21
9.2: 5
Read all HW answers for Ch 9 (see ICON). I STRONGLY recommend looking at each graph and
determining
stability type. Then check your answer by reading the text associated to the graph.
HW 12 (due 5/1)
Problem 1: State one interesting question that has not been answered regarding ch 9.
9.2: 17, 18, 23, 26, 27
9.3: 5, 12
HW 13 (due 5/8)
1.) Fully state 7 theorems that you would prefer to prove on the final exam (over other
theorems). You do not need to provide proofs for this HW, just state
the theorems.
2.) State at least one theorem that you do not want to prove on the final exam.
Recommended problems (not HW):
2.6: 13, 14 (and 1 - 12)
2.8: 1, 2, [3 - 6 a & c], 9a, 10a
Extra Credit (due 5/10, 2 points for each problem added to your HW
grade)
6.1: 15, 18
6.2: 2, 5, 11, 19, 20, 22
6.3: 5, 11, 14, 15, 19, 21, 34, 35
for 8th edition conversion, click here
Note: Old exams from 22M:034 are available from my previous course
websites:
22M:034:091 Engineering Math IV: Differential Equations 9:30A - 10:20A
MWF 217 MLH
(Fall 10)
22M:034:081 Engineering Math IV: Differential Equations 8:30A - 9:20A
MWF
105 MLH
(Fall 08)
22M:034:102 Engineering Math IV: Differential Eqns. 10:30A - 11:20A
MWF
210 MLH
(Spring 05)
22M:034:102 Engineering Math IV: Differential Equations TR 10:55 - 12:10,
118 MLH (Fall 03)
TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on
date/section
for pdf file of corresponding class material):
| Monday | Wednesday | Friday | |
| Week 1 | 1/23: 1.1 | 1/25: ch 1, 2.2 , Ex 2.4.1 | |
| Week 2 | 1/28: 1.2, 2.2 ex | 1/30: ch1, 2.1, 2.2 , df | 2/1: 2.1 - 2.3 int by parts |
| Week 3 | 2/4: 2.3, 2.4 | 2/6: 2.4 | 2/8: 2.4ex partial fractions p. 134, 5 (133 in 8th ed) |
| Week 4 | 2/11: ex, IVP ex, Ex 2.4.1, | 2/13: 2.5, quiz 1, answers, | 2/15: 2.5, linear fns, 3.1 |
| Week 5 | 2/18: 3.2, 3.3, 3.4 | 2/20: review 3.1 - 3.4 | 2/22: 3.2, 3.3, |
| Week 6 | 2/25: 2.3 #22, 3.2, Review | 2/27: Exam 1, answers | 3/1: 5.1, 3.2, 3.5 |
| Week 7 | 3/4: 3.5, 5.1 | 3/6: 5.1, 5.2 | 3/8: 5.2 |
| Week 8 | 3/11: 5.2 | 3/13: 5.3, 5.4 | 3/15: 5.3, 5.4 |
| Spring break 3/18 - 3/22 | |||
| Week 9 | 3/25: 5.4, | 3/27: 4.1, 5.5 | 3/29: 5.5 part 2 |
| Week 10 | 4/1: 7.1, 7.2, 7.3, E.V. | 4/3: 7.5, 7.4, Quiz 2 over 7.2, 7.3 Answers | 4/5: 7.5, 7.4 |
| Week 11 | 4/8: 7.6 E.V. | 4/10: 7.6, 9.1 maple | 4/12: ch7, 9.1, 9.1, maple |
| Week 12 | 4/15: 9.2 | 4/17: 9.2, Quiz 3: Ch 5, Ch 7, Answers | 4/19: 9.3 resonance , |
| Week 13 | 4/22: 9.3 | 4/24: Review | 4/26: Exam 2 answers in 301 VAN |
| Week 14 | 4/29: 9.3 | 5/1: 2.6 | 5/3: 2.6, 2.8 |
| Week 15 | 5/6: 2.8, review 3.1 - 3.4, 3.5, ch 4 | 5/8: 3.6, 5.6 | 5/10: Revew |
Final Exam Fri 5/17/2013
3:00 PM - 5:00 PM, NOTE: LOCATION 205 MLH
Newly posted handouts: Final exam