MATH 3423 Advanced Applied Math
NAME:
(Please print clearly)
Third Exam (solutions)
26 Apr 2013
1. The following boundary value problem represents steady state heat distribution in a
quarter disk. Solve it for u(r, ) in the form of an infinite sum with te
MATH 3423 Advanced Applied Math
NAME:
(please print clearly)
Second Exam (with solutions)
1 Apr 2013
1. For the following boundary value problem: y 00 + y = 0, y 0 (0) = 0, y(3) = 0, find
the eigenvalues and eigenfunctions. Note: there are no negative eig
MATH 3423 Advanced Applied Math
NAME:
(please print clearly)
First Exam (with solutions)
20 Feb 2013
Note: you do not have to simplify answers whether numbers or algebraic expressions.
1. Find the general solutions of the following constant coefficient li
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Fifth Quiz (with solutions)
Due 4 Mar 2013
Instructions: Please write your final answers on this sheet and as much of your work as
you can fit. Additional work may be written on additional sheet
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Seventh Quiz (with solutions)
Due 25 Mar 2013
Instructions: Please write your final answers on this sheet and as much of your work as
you can fit. Additional work may be written on additional sh
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Tenth Quiz (solutions)
Due 19 Apr 2013
1. Apply the Laplace transform in the t variable to convert the following to an ordinary
differential equation, with boundary conditions, for U (the Laplac
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Eighth Quiz (with solutions)
Due 29 Mar 2013
(This is the corrected version)
1. Solve the heat equation below, with the given boundary and initial conditions. Hint:
First find a function (x) (of
Math 3423 Advanced Applied Math
NAME:
Second Quiz (with solutions)
1 Feb 2013
1. For each of the following Cauchy-Euler equations, write down the general solution for
the interval (0, ).
(a) x2 y 00 + xy 0 4y = 0
Ans: m(m 1) + m 4 = 0 has roots 2 and 2, s
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Eleventh Quiz (take-home)
Due 22 Apr 2013
1. For the function defined and pictured below, find the complex Fourier transform, the
Fourier cosine transform and the Fourier sine transform.
(
y
0 <
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Sixth Quiz (take-home)
Due 13 Mar 2013
1. Using separation of variables, find all product solutions u of the partial differential equation below. Note: The ODEs you get should be first order and
Math 3423 Advanced Applied Math
NAME:
(please print clearly)
Ninth Quiz (solutions)
Due 10 Apr 2013
Please include all answers on this sheet. (If you dont have room, you are writing too
much.)
1. Consider the equations below in polar coordinates. Use sepa
Math 3423 Advanced Applied Math
NAME:
First Quiz (with solutions)
23 Jan 2013
Note: You are not required to simplify algebraic or numeric expressions.
1. Find the general solution of each of the following homogeneous constant-coefficient linear
differenti
Math 3423 Advanced Applied Math
NAME:
Fourth Quiz (with solutions)
Due 15 Feb 2013
1. For each pair of functions, determine whether or not they are orthogonal on the interval
0 x 1 . Please show your work.
(a) 1 and sin x .
1
Z 1
cos x
2
1(sin x) dx =
An
Math 3423 Advanced Applied Math
NAME:
Third Quiz (with solutions)
Due 8 Feb 2013
1. For each of the following Cauchy-Euler equations, find the general solution for the interval
(0, ).
(a) xy 00 2y 0 = 0.
Ans: (This really is Cauchy-Euler: see what happens
Sunday
Monday
Tuesday
15-Jan
16
Wednesday
17
22
23
24
26
The Basics Due
Functions Due
Absolute Value and
Linear Due
30
31
1-Feb
2
3
6
7
8
9
10
13
14
15
16
17
Linear Wiki Due
12
Test 1 The Basics to Absolute
Value and Linear Functions
Week 5
19
Week 6
Q
Math 2564 Calculus II
Last updated: January 13, 2017
SYLLABUS
Spring 2017
Instructor
Dr. Kristen Pueschel
Department of Mathematical Sciences
Office: SCEN 225
Email: pueschel@uark.edu
Office Hours
Mon and Wed 4-5pm and Thur 11:30-12:30 in SCEN 225, or by
Activity 10 - Coefficient of Restitution
Purpose
To explore the effects of the coefficient of restitution on the conservation of energy during
a collision.
Theory
The coefficient of restitution is a measure of the kinetic energy which remains in a system
Math 2564
Integrating Inverse Functions
Cal II
Integration by parts gives a useful tool to find antiderivatives of many inverse functions.
For a function f (x) we write its inverse function f 1 (x). Examples you should recognize are
ex and ln x, sin(x) an
Pick the Right Technique
For each of the following integrals, discuss what techniques you might choose to try when integrating.
Which section would you guess that the problem came from? What should be the first thing you try? What
is the most likely techn
MATH 2554 Exam #1 Review Answer Key
1a. 0
1b. -1
1c. Does not exist
1d. = 0, 1
2a. -1
2b. 2
2c. 2
2d. -3
2e. Does not exist
3a.
11
7
3b. 4
3c.
3d.
1
3
8
3
3e. Shouldnt have been on here
3f. Shouldnt have been on here
4a. 1
4b.
4c. -1
5a. = 5, 2
5b. odd
Pre-Class Lesson 3
Today, wont you join us for a discussion on FUNCTION OPERATIONS?
To start, lets recall that we have 4 basic operations of arithmetic addition,
subtraction, multiplication, and division. Just as we can do these operations with
numbers, v
Pre-Class Lesson 4
How about we jump right in and talk about LINEAR FUNCTIONS AND MODELS?
Do you know what we mean when we say MODEL? Were going to be using that term a lot this
semester. Basically a MODEL is a way to explain or represent observations. In
Pre-Class Lesson 6
Now, settle in for a moment, because we have a LOT of definitions and terminology to go
over. Are you ready? Here we go
A POLYNOMIAL FUNCTION can be represented by
() = + 1 1 + + 2 2 + 1 + 0
Where each coefficient is a real number, does
Pre-Class Lesson 1
Hi again! Good to see we didnt scare you away last time. Hopefully by now you
have registered on MyLabsPlus and maybe begun your first homework assignment.
If not, you need to do that ASAP before you fall too far behind.
Now last time w
Pre-Class Lesson 2
Hey there everybody! Welcome back! Were going to spend pretty much the
entire rest of the semester talking about, looking at, describing, solving, and
generally manipulating all kinds of different FUNCTIONS. This lesson is an
overview o
Pre-Class Lesson 0
Hello and Welcome to College Algebra (1203/1204) at the University of Arkansas. Over the
next 5 or 8 or 16 weeks, you will learn, explore, apply, problem solve, discuss, and
communicate mathematical topics. If you have taken High School
U NIVERSITY OF A RKANSAS
D EPARTMENT OF M ATHEMATICS
Calculus 1 Drill
Section 5.4 Working with Integrals
Todd Thomas
26 November 2013
1 I NTEGRATING E VEN AND O DD F UNCTIONS
Symmetry appears throughout mathematics in many different forms, and its use oft