MATH 300 Fall 2007 Advanced Boundary Value Problems I Solutions to Problem Set 1 To Be Completed by: Friday September 28, 2007
Department of Mathematical and Statistical Sciences University of Alberta
Question 1. [p 11, #1.2.4] Derive the diffusion

MATH 300 Fall 2007 Advanced Boundary Value Problems I Solutions to Problem Set 4 To Be Completed by: Friday November 9, 2007
Department of Mathematical and Statistical Sciences University of Alberta
Question 1. [p 194, #5.6.2] Consider the eigenvalu

MATH 300 Fall 2007 Advanced Boundary Value Problems I Solutions to Problem Set 3 To Be Completed by: Friday October 26, 2007
Department of Mathematical and Statistical Sciences University of Alberta
Question 1. [p 148, #4.4.7] Small vertical vibrati

MATH 300 Fall 2007 Advanced Boundary Value Problems I Solutions to Problem Set 2 To Be Completed by: Friday October 12, 2007
Department of Mathematical and Statistical Sciences University of Alberta
Question 1. [p 95, #3.2.2 (e), (f )] For the follo

Homework 11
APMA E3102
Due April 22 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most

Homework 9
APMA E3102
Due April 8 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most pr

Homework 1
APMA E3102
Due January 29 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most

Homework 8
APMA E3102
Due April 4 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most pr

Homework 5
APMA E3102
Due February 26 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own

Homework 3
APMA E3102
Due February 12 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own

Homework 10
APMA E3102
Due April 15 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most

Homework 7
APMA E3102
Due March 25 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most p

Syllabus for APMA E4200 PDEs
Fall 2015
Contact Information
Instructor. Oce hours in Mudd 203.
Vincent Quenneville-Blair
vq2111@columbia.edu
Mondays 3:30 to 5pm
Teaching assistants. Oce hours in Engineering Terrace 287.
John Brooks jwb2159@columbia.edu W

Homework 4
APMA E3102
Due February 19 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own

Homework 2
APMA E3102
Due February 5 before 3 pm in course mailbox
Usual Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to talk to others, but make sure you understand the material and that what you write
is your own

Homework 6
APMA E3102
Due March 21 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own. U

Applied Mathematics E3102
Problem Set 1
Due Tues., Jan. 29, 2013
1. ODE practice, I. Solve the following ODE:
dx
+ x = 1,
dt
where > 0 is a constant. Graph a x(t) and show the large-time asymptotic
behavior as t .
2. ODE practice, II. Solve the following

Applied Mathematics E3102
Problem Set 2
Due Thurs., Feb. 7, 2013
This may look like a lot of problems for one week but most of them are very short.
1. Chapter 1: 1.4.1, parts c and e; 1.4.7, part b.
2. Chapter 2 section 2.2: problems 2.2.2; 2.2.4 (both pa

Applied Mathematics E3102
Problem Set 3
Due Tues., Feb. 19, 2013
1. 2.4.1, part b. It will help to read section 2.4.
2. 2.4.4.
3. 2.5.3a.
4. 2.5.5, part b.
1

Applied Mathematics E3102
Problem Set 4
Due Thurs., Feb 28, 2013
1. 2.5.2, all three parts. For part b, it will help a lot to read section 2.5.1.
2. 3.2.2c, d.
3. 3.3.5b, 3.3.7.
4. 3.4.4b.
1

Applied Mathematics E3102
Problem Set 7
Due Thurs., Apr. 11, 2013
1. 5.6.1b
2. 8.2.6a,b.
3. 8.3.1e.
4. 8.5.2b. Resonance is a situation in which the amplitude of the forced oscillations
grows linearly in time without bound. It may help to read some of sec

Applied Mathematics 3102
Problem Set 8
Due Tues., Apr. 23, 2013
1. Consider
d2 u
= 1, with u(0) = 0 and u(L) = 0.
dx2
(a) Solve for u(x) by direct integration.
(b) Solve for u(x) using (9.3.15) and (9.3.16).
(c) For practice only - not required (but not h

Applied Mathematics 3102
Problem Set 9
Due Monday, May 6 - but this one is for practice only and will not be graded.
The material, however, is fair game for the nal exam, so please do it. Solutions will
be posted.
1. 10.4.5.
2. 12.2.5a,b,c, 12.2.6, 12.3.1

Homework 6
APMA E4200
Due November 9 strictly before class
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most problem