MATH 2114
Thursday, August 27th, 2015
Questions?
Test 3 Date
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The Magic Carpet Ride Task
Your work on Google Drive:
1.Include a snap shot of your Marker Board
2.Name video & snapshot:
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Solutions
Midterm 1
Math 2214 CRN 14553, Intro Dierential Equations, Spring 2013
Date: February 28, 2013
Instructor: Shor Bowman
Directions: This is a closed-book, closed-note test on 5 pages. You wil
Math 2114 Written Assignment #2
Due Thursday September 10th at class time.
A. Non-text book questions (please write your solutions neatly on a separate sheet of paper)
1. Suppose we have
CRN 94455
Math 2214, Intro Dierential Equations
Fall 2013
Last updated: August 26, 2013
Basic info about the course
Instructor: Adam (Shor) Bowman.
Instructor contact: Oce MCB 565B, Email asbowman@v
Math 2224
Common Final Exam
Fall 2012
FORM C
INSTRUCTIONS: Please enter your NAME, ID NUMBER, FORM DESIGNATION, and CRN
on the op-scan sheet. The CRN should be written in the box labeled COURSE. Do no
Notes for Day : . : Applications to Mechanics
You should be familiar by now with the "classical" model of a falling object in which: a(t) v(t) s(t) = -g = -g t + v gt +v +s , = -
which is obtained b
Linear Algebra
This document was written and copyrighted by Paul Dawkins. Use of this document and its online version is governed by the Terms and Conditions of Use located at http:/tutorial.math.lam
4.6 Complex Eigenvalues
4.6.1 Summary: Real Roots
Last time, we discussed the general solution to a homogeneous system of first-order equations
where the eigenpairs are are
2.4: Population Dynamics
2.4.1PopulationModels
Populationmodelsaresimilartomixingmodels,whichwecoveredlastweek.Inthemixing
model,wemeasuredthequantityofasubstanceflowinginandoutofthesystembasingour
di
3.10: Forced Mechanical Vibrations
3.10.1 Weight on a Spring (3.6)
In section 3.6, we talked about the action of a weight on a spring, which we modeled with the
equati
3.1: Second Order Differential Equations
3.1 Introduction
We move to second order differential equations. Chapter 3 covers only linear second order
differential equations. Much of what we did in Chapt
3.10: Forced Mechanical Vibrations
3.10.1 Weight on a Spring (3.6)
In section 3.6, we talked about the action of a weight on a spring, which we modeled with the
equati
2.4: Population Dynamics
2.4.1PopulationModels
Populationmodelsaresimilartomixingmodels,whichwecoveredlastweek.Inthemixing
model,wemeasuredthequantityofasubstanceflowinginandoutofthesystembasingour
di
2.4: Population Dynamics
2.4.1PopulationModels
Populationmodelsaresimilartomixingmodels,whichwecoveredlastweek.Inthemixing
model,wemeasuredthequantityofasubstanceflowinginandoutofthesystembasingour
di
Quiz #5 Name:
2013 Summer 1 Signature: \
This is an in class quiz. You may not use notes. You may use a calculator as long as it has N O symbolic capabilities. You
must complete this on your own witho
Quiz 1 (1.1-1.3, 2.1 2.3)
Summer 1 2011
Name
ID:
Key
This is an in class quiz. You may NOT use notes. You MAY use a calculator as long as it has NO
symbolic capabilities. You must complete this work o
2.9 Applications to Mechanics
7.2.9.1 Introduction
Heads up! These types of problems are computationally intensive - lots of integration and algebra
involved! You may nee
2.9 Applications to Mechanics
7.2.9.1 Introduction
Heads up! These types of problems are computationally intensive - lots of integration and algebra
involved! You may nee
Applications to Mechanics (Section 2.9)
Example 1: Falling object under the influence of a
drag force proportional to velocity.
The governing equation is
m
dv
= mg kv
dt
1
Example 2: Falling object un
Second and Higher Order Linear ODES
General form:
my" = F05, y, y)
Can be very hard to solve.
Linear equations (standard form):
Example: Bobbing motion of a oating object
3 .1 Introduction 109 Y
Equil
Eulers Method
This is a numerical method for solving ODEs of the
form
y 0 = f (t, y),
y(t0) = y0.
Its the simplest such method. A numerical method typically generates values
y1, y2, y3, . . . , yn
tha
Method of variation of parameters (variation
of constants)
This method allows us to find a particular solution for
any equation of the form
y 00 + p(t)y 0 + q(t)y = g(t)
(1)
provided the complementary