First Order Nonlinear Equations
The most general nonlinear first order ordinary differential equation we could imagine would be of the form Ft, yt, y v t = 0. 1
In general we would have no hope of solving such an equation. A less general nonlinear equatio
Department of Physics and Astronomy
Third Year Thermodynamics
Lecture TOPIC 1 1 (Finn : 1.1,1.3,1.5)
Synopsis: Preview, and introduction. Systems, surroundings and thermodynamic
variables; work and equilibrium introduced.
Thermodynamics is the o
5.60 Thermodynamics & Kinetics
5.60 Spring 2008
H U + pV
The Geometry of the Dot and Cross Products
Department of Mathematics
Oregon State University
Corvallis, OR 97331
Corinne A. Manogue
Department of Physics
Oregon State University
Corvallis, OR 97331
DERIVATION OF BAC - CAB
USING TERM BY TERM
Use term - by - term expansion rather than summation notation to prove the following identity :
A B C = B A C - C A B
The strategy here will be to write out the left hand
Nuclear ScienceA Guide to the Nuclear Science Wall Chart
2003 Contemporary Physics Education Project (CPEP)
The Atomic Nucleus
Searching for the ultimate building blocks of the physical world has always been a
central theme in the history of sci
N uclear Science
Exp. II-Beta, Gamma Interaction
NUCLEAR SCIENCE RADIATION EXPERIMENT: Absorption of Beta Particles in Aluminum OBJECTIVES To study the absorption properties of beta particles. To observe the nature of the interaction of beta particles w
menentukan titik-titik antara n buah titik
1. Interpolasi Linier
menentukan titik-titik antara 2 buah titik dengan
menggunakan pendekatan fungsi garis lu
THE MILLIKAN OIL-DROP EXPERIMENT
1.R.A. Millikan, The Electron (photocopied excerpts available at the Resource Centre).
2.Instruction Manuals for Leybold-Heraeus apparatus (available at the Resource Centre).
THE PRISM SPECTROMETER
OBJECTIVES: 1) Learn the theory of the prism spectrometer, and be able to explain the functions of its various components. 2) Observe the spectrum of a mercury discharge lamp and record the angle of deviation for the spectral lines.
Calculus of Variations
The biggest step from derivatives with one variable to derivatives with many variables is from
one to two. After that, going from two to three was just more algebra and more complicated pictures.
Now the step will be from a nite num
Mathematical Methods in Physics
Homework Set #1.
Due Date: Thursday April 7, 2011
Solve the following exercises:
1. Boas, Chapter 7, Section 4, Problem 2.
2. Boas, Chapter 7, Section 5, Problem 7.
3. Boas, Chapter 7, Section 5, Problem 10.
using a Taylor-MacLaurin Series (Newtons Preferred
(Doug Ruby and Danielle Tarnow)
In his Method of Fluxions and Infinite Series, Sir Isaac Newton invented a way to
calculate the fluxion of a fluent (derivative of a variable)
Chapter 6: Bipolar Transistors -
1. Mampu memahami cara kerja transistor dan aliran arusnya
2. Mampu mendisain pengoperasian rangkaian transistor yang aman
1. Unbiased Transistor
2. The biased Transistor
MasteringPhysics: Assignment Print View
Page 1 of 10
Manage this Assignment: Print Version with Answers
13a Early Quantum Theroy and the Atomic Model
Due: 11:00pm on Sunday, April 11, 2010
Note: To understand how points are awarded, read your instructor'
Lecture 3: Determinants and cross product
September 14, 2010
Hand in homework.
Milbank help room is open 10AM6PM MonThurs,
Extra problems on back of the homework.
Next oce hours: Wed
PENYEARAH SATU FASA TIDAK TERKENDALI
FAKULTAS TEKNIK UNP
: TEKNIK ELEKTRO
NOMOR : III
WAKTU : 2 x 50 MENIT
MATA KULIAH/KODE : ELEKTRONIKA DAYA 1 TOPIK
: PENYEARAH SATU FASA
GELOMBANG PENUH DENGAN
Chapter 4 Conductors and the Electric Field
4 Conductors and the Electric Field
An ideal conductor is chock full of charged particles that are perfectly free to move around
within the conductor. Like all macroscopic samples of material, an ideal conductor
An Example of a Non-linear Dierential Equation
R. C. Daileda
In class we mentioned the following theorem, whose proof the interested reader can nd in Section 2.8 of . Theorem. 1. Consider the initial value problem (IVP) y = f (t, y), y(t0 ) = y0 . (1)
Electric Field of Uniformly Charged Solid Sphere
Radius of charged solid sphere: R Electric charge on sphere: 4 3 R . Q = V = 3 Use a concentric Gaussian sphere of radius r. Q r > R: E(4r2 ) =
1 Q 4 0 r2 1 ,
4 3 r r < R: E(4r2 ) = 3 0 1 Q E(r) = r
Electric Potential of Conducting Spheres (1)
A conducting sphere of radius r1 = 2m is surrounded by a concentric conducting spherical shell of radii r2 = 4m and r3 = 6m. The graph shows the electric field E(r). (a) Find the charges q1 , q2 , q3 on the thr
CHAPTER 1. VECTORS AND THE GEOMETRY OF SPACE
Unlike the dot product, the cross product is only dened for 3-D vectors. In
this section, when we use the word vector, we will mean 3-D vector.
Denition 44 (cross product) T
Harvey Mudd College Math Tutorial:
Elementary Vector Analysis
In order to measure many physical quantities, such as force or velocity, we need to determine
both a magnitude and a direction. Such quantities are conveniently represented as vectors.
Lecture 10: Carnot theorem
Feb 7, 2005
Equivalence of Kelvin and Clausius formulations
Last time we learned that the Second Law can be formulated in two ways.
The Kelvin formulation:
No process is possible whose sole result is the complete conversion of
Archimedes' Determination of Circular Area
Austin Cornett, Erin Loos, Ben Schadler
MA 330 - History of Mathematics
Archimedes of Syracuse
! ! ! !
Born 287 B.C. at Syracuse Father was an astronomer Developed life-long interest in the heaven
Rohedi's Technique of Finding Area and Circumference of a Circle.
As you know, the conventional way for finding area and circumference of a circle have been
teached at high school on the chapter of integral applications, while the advanced way a
Applied Partial Dierential Equations
4 First-order nonlinear equations
Now we consider general rst-order nonlinear scalar PDEs, that is ones that are not necessarily
quasi-linear. The general form of such an equation is
F (p, q, u,