First Course in Differential Equations - Math 383 Sec. 1
Syllabus
Instructor: Dr. Christopher Strickland
Email: [email protected]
Oce: PH 366
Oce Hours: Tuesday and Thursday 10:45 - 11:45. Tuesday 1:00 - 2:00. If you are unable to
make these times, yo
1
A Brief Review of Elementary Ordinary
Differential Equations
At various points in the material we will be covering, we will need to recall and use material
normally covered in an elementary course on ordinary differential equations. In these notes, we
w
DIFFERENTIAL EQUATIONS with TI-89
ABDUL HASSEN and JAY SCHIFFMAN
We will assume that the reader is familiar with the calculators keyboard and the basic operations. In
particular we have assumed that the reader knows the functions of the SECOND, APLHA, and
1
It s easy t o get confused and t hink t hat non-singular means non-invert ible. But in fact , it means t he
opposit e! Wat ch out !
1
n
2
Admit t edly, we have not act ually dened what we mean by volume here, but hopefully t he int uit ion
should be cle
Integration by Parts review and shortcut
Math 256 Fall, 2012
This handout will review integration by parts, particularly repeated integration by parts, giving a substantial shortcut for the latter.
Integration by Parts:
Integration by parts is the integra
Problems on Linear Transformations
Testing knowledge
A linear transformation T : V W verifies what two properties?
Give an example of a linear transformation from R2 to R2 .
Give an example of a function from R2 to R2 that is not a linear transformatio
Calculations
Enthalpy of Reaction 1:
Enthalpy of Reaction 2:
Using Hesss Law to Determine Enthalpy for Combustion of
Magnesium:
Percent Error for Experimental Heat of Combustion:
Ajay Majmudar
Outline
Into
anecdote- short story to hook. describes a victim of cyber bullying reading hateful
messages
background info on cyber bullying (give interesting facts on cyber bullying)
thesis=Social media has made cyber bullying crueler than j
Ajay Majmudar
1/20/16
Period 3
1st Body Paragraph-The Counter Argument
Although a lot of individuals are quick to blame social media as the main
cause of cyber bullying, many do not view it that way. According to authors
Wanda Cassidy, Karen Brown, and Ma
Math 383
A First Course in Differential Equations
Spring 2017
Contact
instructor: Xavier Mela
office: Phillips 324K
office hours: Mon. 1:30p-2:30p, Wed. 3:20p-4:20p, and by appointment
email: [email protected]
website: Sakai, WebAssign
Overview
This class
Exam1
Math 383
Fall 2015
Name:
/ 100
Part I : WebAssign
Part II : Paper
/ 20
/ 80
Part II : Paper
Problem 1 (30pts). In this problem y is a function of x. In part (a) and (b), simply
write the general solution of the differential equation (no justificat
Linear Transformations (key points)
1
Definitions and examples
Let V and W be vector spaces. A linear transformation T from V to W is a function that
satisfies the following:
v V, c R,
T (cv) = cT (v)
v1 , v2 V,
T (v1 + v2 ) = T (v1 ) + T (v2 )
Note that
Math 383
Exam1
Spring 2015
Name:
/ 100
Part I : WebAssign
Part II : Paper
/ 20
/ 80
Part II : Paper
Problem 1 (15pts). Assume y is a function of x. In part (a) and (b), simply write
the general solution of the differential equation (no justification nee
Math383 - Problems on Linear Transformations II
Question 1. If T is a linear transformation and cfw_v1 , . . . , vn a basis, show that knowing
T (vi ), for all i, entirely determines T .
Question 2. Recall that if cfw_v1 , . . . , vn is a basis and v =
Math 383
Exam2
Fall 2015
Name:
/ 100
Part I : WebAssign
/ 20
Part II : Paper
/ 80
Part II : Paper
Problem 1 (20pts). Find a fundamental set of solutions to the 6th order equation
y (6) y (5) 5y 0000 3y 000 = 0.
Problem 2 (30pts). Solve the initial value
Exam 2
Math383
Name:
Spring 2011
Grade:
/ 100
Instructions: You must show all work and explain all reasoning to
receive credit. Clarity will be considered in grading. Good luck!
Variation of parameters
A particular solution to y 00 + p(t)y 0 + q(t)y = g(t
Math 383
Exam 2
Name:
Fall 2013
Grade:
/ 100
You must show all work and explain all reasoning to receive credit. Good
luck!
Problem 1. For each equation, write the correct form for the particular solution,
but DO NOT SOLVE THE EQUATION:
(a) y 00 + 4y =
Math 383
Exam 1
Fall 2013
Name:
Grade:
/ 100
You must show all work and explain all reasoning to receive credit. Each
problem is worth 20 points.
Problem 1. Suppose that x~p is a solution to the system of equations A~x = ~b, and
that x~h is a solution t
Math383
Exam 1
Fall 2010
Name:
Grade:
/ 100
Instructions: I will take in account the clarity of your answers. Use scrap paper.
Justify your answers for full credit.
Problem 1. Consider the following vectors
3
1
1
1
2
1
v~1 =
1 , v~2 = 0 , v~3
Math 383
Name:
Exam2
Spring 2015
/ 100
Instructions: You must show all work and explain all reasoning to
receive credit. Clarity will be considered in grading. Good luck!
Problem 1 (10pts). Consider the three functions y1 = x, y2 = e2x and y3 = cos(x).
Welcome Chat Quiz
Submit to the Introduction Assignment drop box for 10 extra points.
1. Why do you need to complete the Student Orientation Course before June 6?
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2. Why should you print your session schedule?_
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3. If you will be on vacation during