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Course: MA 607, Summer 2011
School: University of Alabama...
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607 Howell 10/18/2011 Homework MA\PH Handout VII Addendum (version 1) A. Let e ? @ f be a basis-based coordinate system for the plane based on a basis e b&quot; b# f as indicated below. Assume the smallest angle between b&quot; and b# is lb&quot; l # #1 and that \$ lb# l \$ . and v=4 v=3 v=2 v=1 v=0 v -1 u=5 p u=4 u=3 u=2 b1 O b2 q u=1 u=0 u = = -1 1. What are the ? @ coordinates of...

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607 Howell 10/18/2011 Homework MA\PH Handout VII Addendum (version 1) A. Let e ? @ f be a basis-based coordinate system for the plane based on a basis e b" b# f as indicated below. Assume the smallest angle between b" and b# is lb" l # #1 and that \$ lb# l \$ . and v=4 v=3 v=2 v=1 v=0 v -1 u=5 p u=4 u=3 u=2 b1 O b2 q u=1 u=0 u = = -1 1. What are the ? @ coordinates of the points p and q ? 2. Plot the point B \$ " 3. Find the distance between points : and ; , dist(:,; ) . 4. Sketch the straight line ? #@ 5. Sketch the curve ? @# . "
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University of Alabama in Huntsville - MA - 607
MA/PH 607Howell10/31/2011Homework Handout VIIIA. In a previous problem, you sketched the curvesx&gt;3&gt; 9&gt; &gt; #1 &gt;withx&gt;3&gt; 9&gt; &gt;# withx&gt;3&gt; 9&gt; % &gt;1\$0&gt;&gt;with 0 &gt; 41Now:.xin terms of the polar coordinates and the associated tangent vectors e3
University of Alabama in Huntsville - MA - 607
MA/PH 607Howell11/7/2011Homework Handout IXA. For the following problems, we will use Cartesiancoordinates to describe points in the plane, and willlet V&quot; , V# , V\$ and V% be the four curves from! ! to # % indicated in the figure. Note that:+ V&quot; a
University of Alabama in Huntsville - MA - 607
1Intro1.1Some of What We Will CoverHere is a very rough idea of what the rst part of the Math Physics course will cover:1.Linear Algebra(a) We will start with a fundamental development of the theory for traditional vectors(developed in a manner th
University of Alabama in Huntsville - MA - 607
8Multidimensional Calculus: BasicsWeve nished the basic linear algebra part of the course; now we start a major part onmultidimensional calculus This will included discussions of eld theory, differential geometry.and a little tensor analysis. Here is
University of Alabama in Huntsville - MA - 607
9Multidimensional Calculus:Mainly Differential TheoryIn the following, we will attempt to quickly develop the basic differential theory of calculus inmultidimensional spaces. Youve probably already seen much of this theory. Hopefully, we willdevelop
University of Alabama in Huntsville - MA - 607
9Multidimensional Calculus:Mainly Differential TheoryIn the following, we will attempt to quickly develop the basic differential theory of calculus inmultidimensional spaces. Youve probably already seen much of this theory. Hopefully, we willdevelop
University of Alabama in Huntsville - MA - 607
Multidimensional Calculus: Differential TheoryChapter &amp; Page: 99Final Comments on Christoffel Symbols and AccelerationUsing the above, we can nd formulas for acceleration (and Christoffel symbols) in Euclideanspaces and in nonEuclidean subpaces contai
University of Alabama in Huntsville - MA - 607
Multidimensional Calculus: Differential Theory9.3Chapter &amp; Page: 913The Classic Gradient, Divergence and CurlBasic Denitions in Euclidean SpaceFor expediency, we will rst dene the classical differential operators for scalar and vector eldsin a Eucli
University of Alabama in Huntsville - MA - 607
Multidimensional Calculus: Differential Theory9.5Chapter &amp; Page: 919General Formulas for the Divergence and CurlLater, we will discover the geometric signicance of the divergence and the curl of a vector eld.Then, using those, we can both redene dive
University of Alabama in Huntsville - MA - 607
Note on Example 1.8.3(page 46 of A&amp;W)I've done enough partial derivation of equation 1.80 to believe it is true. However,their derivation is garbage. In using the BACCAB rule they seem to ignore the fact thatf is an operator, not a vector subject to t
University of Alabama in Huntsville - MA - 607
The Sheet That Should Be Handed OutThe First Day Of ClassMathematical Methods for Physicists ~ Fall 2011(revised 8/18/2011)General StuffCourse: Mathematical Methods (for Physicists), MA 607 and PH 607Partial Prerequisites: A basic course in linear a
University of Alabama in Huntsville - MA - 607
Preparing for the First ExamThe test covers everything done up through change of bases&quot; and volumes of hyperparallelepipeds&quot; (Chapter 5 in the online notes). The problems will be morecomputational than theoretical, but calculators will be unnecessary.1
University of Alabama in Huntsville - MA - 607
MA/PH 60710/14/2011HowellTAKE HOME PORTION OFTEST II(40 points)GENERAL NOTES:Due at the beginning of class on Friday, October 21.This is NOT to be a team effort. Do your own work! (You may, of course, consultwith the instructor.)Hand in the next
University of Alabama in Huntsville - MA - 607
MA/PH 60710/14/2011HowellTAKE HOME PORTION OFTEST II(40 points)GENERAL NOTES:Due at the beginning of class on Friday, October 21.This is NOT to be a team effort. Do your own work! (You may, of course, consultwith the instructor.)Hand in the next
University of Alabama in Huntsville - MA - 607
Preparing for Test IIThe test covers everything from Elementary Linear Transform Theory up throughWednesdays discussion of curves and derivatives (In the online notes: chapters 6, 7and pages 1 to the top of 19 of chapter 8, excluding section 8.5); (see
University of Alabama in Huntsville - MA - 607
Three Coordinate Sytems for the Plane(Each with a Cartesian System)1. Relative to the e B C f system, thecurves ? ?! and @ @! arestraight lines with slopes&quot;and 2,\$respectively. The ? ?! curvecrosses the \ -axis at B \$?! , andthe @ @! curve cross
University of Alabama in Huntsville - MA - 607
2Traditional Vector TheoryThe earliest denition of a vector usually encountered is that a vector is a thing possessinglength and direction This is the arrow in space view with length naturally being the.length of the arrow and direction being the dir
University of Alabama in Huntsville - MA - 607
MA/PH 607Howell9/14/2011Homework Handout IVA. LetU&quot;&amp;#'#3\$!#&amp;&quot;'3\$!!&quot;' &amp;3\$!.1. Compute UT and U .2. Verify that U is unitary.3. Let U e e&quot; e# e\$ f be any orthonormal set of vectors (so e4 le5 \$45 ), and lete b&quot; b# b\$ f be given by
University of Alabama in Huntsville - MA - 607
MA/PH 607Howell9/14/2011Homework Handout IVA. LetU&quot;&amp;#'#3\$!#&amp;&quot;'3\$!!&quot;' &amp;3\$!.1. Compute UT and U .2. Verify that U is unitary.3. Let U e e&quot; e# e\$ f be any orthonormal set of vectors (so e4 le5 \$45 ), and lete b&quot; b# b\$ f be given by
LSE - ECON - 301
Chapter 2: Economic developmentChapter 2: Economic developmentAims of the chapterMany economics concepts are widely used but usually imprecisely defined.Economic development is one of these. This chapter will: cover the concept of development and how
LSE - ECON - 301
Chapter 3: Models of growth and developmentChapter 3: Models of growth anddevelopmentAims of the chapterThis chapter covers economic models that explain growth anddevelopment. It starts with the popular HarrodDomar growth model,discusses the Neoclas
LSE - ECON - 301
Chapter 4: Domestic resources and inflationChapter 4: Domestic resources andinflationAims of the chapterFinancing development requires resources. These resources can beaccumulated or acquired from abroad. This chapter addresses the role offinance in
University of Sydney - FINC - 3018
FINC3018BANK FINANCIAL MANAGEMENTSemester 2, 2011Unit Coordinator Paul MartinBUSINESSSCHOOLObjectives of Todays SessionAn overview of the CourseAppreciate why banks are specialExamine the role of banks and FIs and the resultant risks that this ro
University of Sydney - FINC - 3018
FINC3018BANK FINANCIAL MANAGEMENTWeek 2BUSINESSSCHOOLObjectives of this Weeks Session To obtain an overview of the risks that banks areexposed to:- Market Risk- Interest Rate Risk (as a subset of market risk)- Identify the significance of these
University of Sydney - FINC - 3018
FINC3018BANK FINANCIAL MANAGEMENTWeek 3BUSINESSSCHOOLThis Weeks ObjectivesBuild on the models examined last week andTo examine the application of- Duration;- Modified Duration;- Duration Gap;- Present Value of a Basis Point (PVBP) andto the me
University of Sydney - FINC - 3018
FINC3018BANK FINANCIAL MANAGEMENTWeek 4BUSINESSSCHOOLObjectives of this Weeks SessionTo examine the approaches to the assessment ofRisk-Daily Earnings at Risk (DEAR)-Various Value at Risk (VaR) Models-Their application to portfolios-The bro
Princeton - MAT - 203
MATH 203 Problem SetsFall 2009Due Monday September 28, 20091.1 Vectors in two and three dimensional space: 5*, 9, 16, 18*, 251.2 The inner product, length and distance: 4*,6*, 10, 14, 18*, 241.3 Matrices, determinants and the cross product: 2c*, 6, 1
Princeton - MAT - 203
MAT 203. Advanced Multivariable CalculusCourse Syllabus and Information, Fall 2009This course will cover most of the material contained in the book Vector Calculus5th edition, by J. Marsden and A. Tromba. We will begin by studying propertiesof vectors
Princeton - MAT - 203
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Princeton - MAT - 203
Please write out the honor pledge and sign it:NAME (print):Instructor / class section:MAT 203 FinalJanuary 13th, 20101:30-5:00PMInformationPlease read and sign the exam conditions rst before turning the page: No books / notes / calculators / colla
Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
1. (a) The volume of the parallelepiped spanned by u, v and w is the absolute value ofdeterminant of the matrix spanned by u, v and w . Calculate1231491 8 27=1230260 6 24=1266 241231491 8 27= 12.= 12.(b) Note that w = w v . Therefore,123
Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - MAT - 203
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
Physics 105 Problem Set 3Due: Thursday, October 8, 2009, 3 PM to 208 Jadwin.Reading: K&amp;K, chapters 3 and 4.Turn this in to the Undergraduate Physics Oce in Jadwin 208 by 3:00 PM on Thursday.Please NEATLY write your name, the time (9 or 10 AM) and the
Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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Princeton - PHY - 105
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