Lehigh - CALC - 1,2,3

Lehigh - CALC - 1,2,3

March 2, 2005Announcements: The last homework will not be collected. K. Ross has changed her office hours for the rest of the quarter to Monday 4:30pm-5:30pm MSC, and Wednesday 4:30pm-5:30pm MSC.Today 9.3 Separable equations and mixing problems

Lehigh - CALC - 1,2,3

February 7, 2005Announcements Reading for the week:7.4, 7.5 and 7.7. Homework #5 (Week 5 Problems) (Covers 7.1, 7.2 and 7.3; see web for assignment) Collected Tomorrow: Tuesday, February 8. Today 7.4 Integration of Rational Functions by Partial F

Lehigh - CALC - 1,2,3

February 2, 2005Announcements T. Toro's office hours have been cancelled today. Today 7.2 Trigonometric Integrals1Trigonometric identities sin2 x + cos2 x = 1 sin2 x = 1 (1 - cos 2x) 22 x = 1 (1 + cos 2x) cos2 sin x cos x =1 sin 2x

Lehigh - CALC - 1,2,3

January 28, 2005 Announcements Exams will be returned in Section on Tuesday Detailed solutions are posted on the web under highlights. I will report on the overall class performance (statistics) and how to interpret your grade in Lecture on Monday

Lehigh - CALC - 1,2,3

January 24, 2005Reading from the book: Review sections 4.10, 5.1-5.5, 6.1-6.3. Sections 6.4 and 6.5. Announcements No quiz on Tuesday, January 25. One sheet (8 1 11) of handwritten notes (one sided) 2 allowed during the midterm. Sections cover

Lehigh - CALC - 1,2,3

January 14, 2005 Today 5.5 The substitution rule.The substitution rule If u = g(x) is a differentiable function whose range is an interval I and f is continuous on I, then f (g(x)g (x) dx = f (u) du.The substitution rule for definite integrals I

Lehigh - CALC - 1,2,3

January 19th, 2005 Announcements Assigned reading for the week: 6.1, 6.2 and 6.3 First Midterm: Thursday, January 27, 2005 Sample midterms can be found at http:/weber.math.washington.edu/~m125Today 6.1: Areas between 2 curves. 6.2: Volumes (sl

Lehigh - CALC - 1,2,3

January 21, 2005 Announcements First Midterm: Thursday, January 27, 2005 Sample midterms can be found at http:/weber.math.washington.edu/~m125Today 6.2: Volumes (slicing method) 6.3: Volumes (shell method)1Definition (Slicing method): Let S

Lehigh - CALC - 1,2,3

Integrals of Rational FunctionsGuidelines for Partial Fraction Decomposition off (x) g(x)1. If the degree of f ( x ) is not lower than the degree of g ( x ) , use long division to obtain the proper form. 2. Express g ( x ) as a product of linear

Lehigh - CALC - 1,2,3

CALCULUS 2: STRATEGY FOR EVALUATING INTEGRALS1. A few general tactics In trying to evaluate an integral with the collection of methods we have seen in Chapters 5 and 7, some general ideas are worth keeping in mind: Find antiderivatives first: It is

Lehigh - CALC - 1,2,3

Derivatives IDx c0 cDx u ( x ) cu ( x )Dx cu ( x ), where c is a real constant.Dx u(x) v(x) Dx u(x) v(x)Dx u(x ) v (x )Dx u(x) u(x)Dx v(x)Dx v(x)u (x ) v (x ) u( x ) v ( x ) v ( x ) u ( x )v (x )u (x ) u(x )v (x ) v (x )2v(x)Dx u

Lehigh - CALC - 1,2,3

"TAYLOR NOTES"Math 126: Taylor Polynomials and Infinite Series (An Epilogue to Single Variable Calculus) K. P. Bube University of Washington, Department of Mathematics, Seattle, WA 98195 March 2005IntroductionIn this "Epilogue to Single Variable

Lehigh - CALC - 1,2,3

Basic Course Information: Math 125A& BInstructor: Tatiana Toro, office: Padelford C-332, email: toro@math.washington.edu, phone: 543-1173. Office Hours: Monday 1-2, Wednesday 2-3 at the Math Study Center. Visit the class website (and explore each of

Lehigh - CALC - 1,2,3

January 5, 2005 Announcements You need to have the "Math 125 course pak". ($8.50 from the UW Copy Center in Communications (CMU) B042.) Always bring this to your Tu & Th sections. All the problems from the book Calculus, Early Transcendentals by Ja

Lehigh - CALC - 1,2,3

January 7, 2005 Today 5.2 The Definite Integral: definition and properties.1When solving the area problem we encountered, Riemann sums, which are expressions of the formn i=1f (x)x = if (x )x + f (x )x + + f (x )x. n 1 2 We also studied

Lehigh - CALC - 1,2,3

January 10, 2005 Announcements Assigned reading for this week: 5.3, 5.4 and 5.5 Homework #1 (Week 1 Problems) will be collected tomorrow, Tuesday, January 11 (Covers 4.10, 5.1 and 5.2; see web for assignment)Today:5.3 The Fundamental Theorem of

Lehigh - CALC - 1,2,3

January 12, 2005 Today 5.4: Indefinite Integrals 5.4: Net Change Theorem and applications1Definition. Let f be a continuous function on an interval. The indefinite integral of f is the most general antiderivative of f and it is denoted by f (

Lehigh - CALC - 1,2,3

Positive-Term SeriesTheorems on Convergence or Divergence of a Positive-Term Series 1. Ifa n is a positive-term series and if there exists a number M such thatSn a1 a2 anM for every n, then the series converges and has a sum Sdiverges. 2. Inte

Lehigh - CALC - 1,2,3

SequencesTheorems on Sequences: I. Modeling Theorem Let {an } be a sequence, let f (n) an , and suppose that f ( x) exists for every real number x 1 . (i) lim f ( x) L , then lim f (n) L .x n(ii) lim f ( x)x(or) , then lim f (n)n(or).

Lehigh - CALC - 1,2,3

Formulae for Calculus 151 p. 1Differentiation Definition: f (a + h) - f (a) f (a) = lim h0 h General formulas: Product: (uv) = u v + uv Quotient: (u/v) = [u v - uv ]/v 2 Chain rule: [f (u)] = f (u) u Constant multiple: (cu) = cu Special functions:

Lehigh - CALC - 1,2,3

February 23, 2005 Announcements:1. Office hours today: A. Chen - 2:30-4:30 MSC K. Ross - 4:30-6:30 MSC T. Toro - 1:30-3:30 MSC 2. Bring your scientific calculator to the midterm tomorrow, you will need it. Recall graphing calculators are NOT all

Lehigh - CALC - 1,2,3

Lehigh - CALC - 1,2,3

January 26, 2005Announcements Math 125 A&B Joint Marathon Review Session! Today (Wednesday) 5:30 7:30 PM in GUG 317 . (Thanks to Bill, Kiana and Allen.) Sections covered by the midterm: 4.10, 5.1-5.5, 6.1-6.3. One sheet (8 1 11) of handwritten

Lehigh - ASIA/SSP - 198

Childhood in Urban China: Only HopeOne-Child Policy and ModernizationFong argues that the one-child policy and the cultural model of modernization has created extreme motivation and pressure on China's youth. How do the one-child policy and ec

Lehigh - CALC - 1,2,3

Lehigh - CALC - 1,2,3

Trigonometric SubstitutionsFor Expression in the IntegrandUse Trigonometric SubstitutionTo Obtaina 1 sin 2 a cosa2x2xa sin ,22a2x2xa tan ,2 02ora 1 tan 2a secx2a2xa sec ,2 3 2a sec 21a tansinx a

Tulane - FINC - 725

Risk and Risk AversionBKM Chapter 6 part 1What is risk? How do we measure risk? The trade-off between risk and return Risk-return assumptions of portfolio theory Utility functions and indifference curves Risk Q) What is risk? A) Two definitions

Lehigh - ECO - 001

Chapter 10Answers to End of Chapter Problems and Applications 2. Quantity of Workers 0 1 2 3 4 5 6 7 Total Output Marginal Product of Labor 0 400 900 1500 1900 2200 2400 2300 - 400 500 600 400 300 100 100 Average Product of Labor - 400 450 500 475

Lehigh - ECO - 001

Chapter 1 Answers to End-of-Chapter Problems and Applications 2. Yes, even Bill Gates faces scarcity because his wants exceed his resources. Gates has established a foundation with billions of dollars to spend on worthy causes like eradicating malari

Lehigh - ASIA/SSP - 198

Review of Income and Wealth Series 53, Number 1, March 2007URBAN POVERTY IN CHINA AND ITS CONTRIBUTING FACTORS, 19862000 by Xin Meng* and Robert GregoryAustralian National Universityand Guanhua WanUnited Nations UniversityWorld Institute for De

Lehigh - CALC - 1,2,3

Indefinite Integrals III1 1 ux1 1 ux22u x dxArcsin u xCu x dxArc tan u xC1 ux ux2u x dx 1Arcsec u xCsinh u xu x dxcosh u xCcosh u xu x dxsinh u xCsech2 u xu x dxtanh u xCcsch2 u xu x dxcoth u x

Lehigh - CALC - 1,2,3

Integrals of Rational FunctionsGuidelines for Partial Fraction Decomposition off (x) g(x)1. If the degree of f ( x ) is not lower than the degree of g ( x ) , use long division to obtain the proper form. 2. Express g ( x ) as a product of linear

Lehigh - CALC - 1,2,3

Derivatives IIIDx Arcsin u( x ) 1 Dx Arccos u( x ) 1Dx Arctan u( x )1 ux 1 ux2 2u ( x)u ( x)1 1 ux1 1 u x2u ( x)D x Arccot u( x )2u ( x)Dx Arcsec u( x ) ux Dx Arccsc u( x ) ux1 ux 1 ux2 2u ( x) 1 u ( x) 1D x sinh u( x )

Lehigh - CALC - 1,2,3

Indefinite Integrals Ik dxkxC k u( x ) dxku( x ) dxwhere k is a real constant .[u( x ) v ( x )]dxnu( x )dxv ( x )dx1[u( x)]u ( x)dx[u( x)]n n 1C, if nC C1sin u( x ) u ( x )dx cos u( x ) u ( x )dxcos u( x ) sin u( x )

Lehigh - ECO - 001

Chapter 10Answers to End of Chapter Problems and Applications 2. Quantity of Workers 0 1 2 3 4 5 6 7 Total Output Marginal Product of Labor 0 400 900 1500 1900 2200 2400 2300 - 400 500 600 400 300 100 100 Average Product of Labor - 400 450 500 475

Lehigh - ECO - 001

Chapter 19Answers to End-of-Chapter Problems and Applications2. We would prefer working in an industry producing a normal good during an economic expansion, but an industry producing an inferior good during a recession. During an expansion, the i

Lehigh - ECO - 001

Chapter 25Answers to End-of-Chapter Problems and Applications2. As the Chinese government was being defeated, Chinese paper currency was ceasing to be fiat money, but, at least in Japan, had become a commodity money.4. There is no effect on M1

Lehigh - ECO - 001

Chapter 1Answers to End-of-Chapter Problems and Applications2. Yes, even Bill Gates faces scarcity because his wants exceed his resources. Gates has established a foundation with billions of dollars to spend on worthy causes like eradicating mala

Lehigh - ECO - 001

Chapter 1Answers to End-of-Chapter Problems and Applications2. Yes, even Bill Gates faces scarcity because his wants exceed his resources. Gates has established a foundation with billions of dollars to spend on worthy causes like eradicating mala

Lehigh - BIOS - 95

Introduction to BioinformaticsDan LoprestiAssociate Professor Office PL 404B dal9@lehigh.eduIntroduction to Bioinformatics Lopresti BioS 95 October 2007 Slide 1Motivation"Biology easily has 500 years of exciting problems to work on." Donald

Lehigh - BIOS - 95

Cell Division & the Cell Cycle1x14 10684,931 684 9311Cell divisions in your body-every cell from a cellBone marrow stem cells B t ll Skin t Ski stem cells ll Intestinal stem cells Muscle satellite cells Liver cells>1,000,000 divisions per

Lehigh - BIOS - 95

iBioSeminars at www.ascb.orgCytoskeletal Motor Proteinsby Dr. Ronald Vale, University of California, San FranciscoGeneral questions to consider: What are cytoskeletal motor proteins? Why is there an interest in studying cytoskeletal motor prot

SUNY Stony Brook - WRT - 102

Sarovar Chandra WRT 102The River Merchant's Wife, A Letter An Analytical StudyMy first reaction to reading `The Women Merchant's Wife' was that women in ancient China were rather oppressed. According to Ezra Pound's translation of Li Po's poem `T

Drexel - ACCT - 115

Date: 3/10/2008Income Statement - Years 1 - 3 Period Starting: Sales Sales Other Total Sales 530,000 100,000 200,000 710,000 1,450,000 670,000 1,300,000 5,400,000 8,400,000 700,000 1,260,000 10,360,000 530,000 100,000 200,000 710,000 1,450,000 670,

SUNY Stony Brook - PHI - 108

PHI 108.04Logical and Critical ReasoningSpring 2008The Basics of Arguments III1. NECESSARY AND SUFFICIENT CONDITIONS A necessary condition is a condition which must be present in order for a given result to follow. For example, there are a num

Drexel - ACCT - 115

President Kline,The Master Budget for the second quarter has been completed and attached. In brevity, let me explain some of the key points that should be pointed out:Our company is growing rapidly and impressively. If our sales estimates are cor

Drexel - ACCT - 115

Student Name: Class: Case 09-23 CRAVAT SALES COMPANY Budgets April Sales budget: Budgeted sales in units Selling price per unit Total sales May June 60,000 $8 480,000 Correct! Quarter 140,000 $8 1,120,000 Correct! $48,000 168,000 280,000 270,000 120,

Drexel - ACCT - 115

Student Name: Class: Problem 3-30 SOUTHWORTH COMPANY Schedule of Cost of Goods Manufactured Direct materials: Beg. Raw Materials Purchases Raw Mat. Avail. For Sale Ending Raw Materials Materials used in production Direct labor Mfg. overhead applied t

Drexel - ACCT - 115

Accounting 115 Annual Report Project"We began as a technology company and evolved into a software, technology, internet, advertising, and media company all rolled into one." Summary Google has brought together the brightest minds of our era to crea

USC - GEOL - 107Lxg

Exploration of the Ocean Needs for Ocean Exploration -Boats getting there and back; type, size, materials -Navigation finding your way; sun and stars, compass and other aids, maps, charts, and atlases -Ocean exploration is the history of developmen

USC - CTCS - 190

Realism Primitive realism Arrival of a Train at the Station, early/silent cinema, camera placed like from 5th row center, photography and the stage influenced it. Naturalism Derived from literary school of authors such as Jack London, reflects histo

Lehigh - BIOS - 95

Cancer and Oncogenes Bioscience in the 21st CenturyLinda Lowe-Krentz Just a Few Numbers Becoming Cancer Genetic Defects DrugsOur friends and family180 160 140 120 100 80 60 40 20 0 to to to to to to to 5 15 30 45 60 75 90Incidence of cance

Lehigh - BIOS - 95

Jennifer Swann PhD Lehigh university g y Bios 90/95Circadian rhythmsThe following have a common link in circadian rhythms. Three mile island, Exon Valdez, Chernobyl Jet lag AnestheticsWhat is rhythm?Circadian rhythms are a subset of biolog

Lehigh - BIOS - 95

Biophysics of contractile ring assemblyDimitrios Vavylonis Department of Physics, Lehigh UniversityOctober 1, 2007"Physical biology of the cell"Physical processes in cell organization and function: Transport of biomolecules e.g. transport of c

Lehigh - BIOS - 95

Functional Magnetic Resonance ImagingBridging the Science Between Animal and Human ResearchCraig Ferris, Ph.D. Director Center for Comparative Neuroimaging Department of Psychiatry University of Massachusetts Medical SchoolCenter For Comparative

Lehigh - BIOS - 95

Cytoskeletal Motor Proteins Part 2 Compare the similarities and differences between dynein and the other classes of cytoskeletal motor proteins (kinesins, myosins) Consider how studies of cytoskeletal motor proteins contribute to advances in bi

USC - CTCS - 190

A. Introduction a. Sound and the other arts i. Film uses sound to convey meaning and effect. b. Sound's neglect in film i. Film is visual medium, not verbal, thought they didn't need dialogue/sound, people don't experience hearing the sound, can't an

USC - CTCS - 190

A. Duration of spatial organization a. Rule i. Start when the content begins to rise, ends on peak of content curve (audience has accumulated all elements) b. Pace/Tempo/Timing i. Control time ii. Actors slow down, long shots play faster, not as many

USC - CTCS - 190

CTCS 190 FINAL EXAM STUDY GUIDEFinal Exam Dates: Tuesday Lecture: Thursday Dec. 7, 2:00-4:00pm in Norris Theater * Please note that you must attend the final exam on the date which corresponds to the lecture for which you are registered, unless prio

Lehigh - BIOS - 95

Genome Sequencing TechnologiesJutta Marzillier, Ph.D.Lehigh University Department of Biological Sciences Iacocca HallJutta Marzillier, 2007Sciences start with ObservationJutta Marzillier, 2007Sciences start with Observation and flourish wit