CALCU - GBV
CALCUTHIRD EDITIONMonfy J. StraussTexas Tech UniversityGerald L BradleyClaremont McKenna CollegeKarl J. SmithSanta Rosa Junior CollegePrentice Hall, Upper Saddle River, New Jersey 07458
ContentsPrefaceix1 Functions and GraphsInput value x' SljL.1l.L.1.1Preliminaries21.21.31.4Lines in the Plane13Functions and Graphs19Inverse Functions; Inverse Trigonometric Functions33Chapter 1 Review42Guest Essay: Calculus Was Inevitable, John Troutman46Mathematical Essays48Output value5A: 2 22 Limits and Continuity2.12.22.32.4The Limit of a Function50Algebraic Computation of Limits61Continuity70Exponential and Logarithmic Functions80Chapter 2 Review9249
ivContents973 Differentiationy!I\IIe"i-- It——A7 fs lorfli neaXi 1 - 13.13.2An Introduction to the Derivative: TangentsTechniques of Differentiation1103.33.43.53.6Derivatives of Trigonometric, Exponential, and Logarithmic FunctionsRates of Change: Modeling Rectilinear Motion125The Chain Rule138Implicit Differentiation1463.73.8Related Rates and Applications157Linear Approximation and DifferentialsChapter 3 Review177Group Research Project: Chaos981191651814 Additional Applications of the Derivativea rad/secDrivingshaft4.14.24.34.44.5Extreme Values of a Continuous Function184The Mean Value Theorem195Using Derivatives to Sketch the Graph of a Function201Curve Sketching with Asymptotes: Limits Involving Infinity217I'Hopital's Rule2294.6Optimization in the Physical Sciences and Engineering4.7Optimization in Business, Economics, and the Life SciencesChapter 4 Review263Group Research Project: Wine Barrel Capacity1832382502695 Integration2715.15.25.3Antidifferentiation272Area as the Limit of a Sum282Riemann Sums and the Definite Integral5.45.55.6The Fundamental Theorems of Calculus302Integration by Substitution309Introduction to Differential Equations3165.7The Mean Value Theorem for Integrals; Average Value5.85.9Numerical Integration: The Trapezoidal Rule and Simpson's RuleAn Alternative Approach: The Logarithm as an Integral342Chapter 5 Review346Guest Essay: Kinematics of Jogging, Ralph Boas351Mathematical Essays352Cumulative Review: Chapters 1-5353290328334
Contents6 Additional Applications of the Integral6.16.26.36.4Area between Two Curves356Volume362Polar Forms and Area375Arc Length and Surface Area3856.5Physical Applications: Work, Liquid Force, and Centroids6.6Applications to Business, Economics, and Life SciencesChapter 6 Review417Group Research Project: Houdini's Escape3954074247 Methods of Integration7.17.27.37.47.57.67.7Review of Substitution and Integration by TableIntegration by Parts435Trigonometric Methods441Method of Partial Fractions448Summary of Integration Techniques457First-Order Differential Equations461Improper Integrals4727.8Hyperbolic and Inverse Hyperbolic FunctionsChapter 7 Review487Group Research Project: Buoy Design4254264814918 Infinite Seriesy-6- (mL e- "i i, »jh—.——!——X3554938.1Sequences and Their Limits4948.28.38.48.58.6Introduction to Infinite Series: Geometric Series , 505The integral Test; p-Series514Comparison Tests521The Ratio Test and the Root Test527Alternating Series; Absolute and Conditional Convergence8.78.8Power Series544Taylor and Maclaurin SeriesChapter 8 Review566553Group Research Project: Elastic TightropeCumulative Review: Chapters 6-8571570533
viContents9 Vectors in the Plane and in Space9.1Vectors in K 29.29.39.49.5Coordinates and Vectors in R 3582The Dot Product588The Cross Product597Parametric Representation of Curves; Lines in R 39.6Planes in R 39.7Quadric SurfacesChapter 9 Review573574606615622628Group Research Project: Star Trek63210 Vector-Valued Functions10.110.210.310.410.5633Introduction to Vector Functions634Differentiation and Integration of Vector Functions642Modeling Ballistics and Planetary Motion651Unit Tangent and Principal Unit Normal Vectors; Curvature660Tangential and Normal Components of Acceleration673Chapter 10 Review679Guest Essay: The Stimulation of Science, Howard EvesMathematical Essays687Cumulative Review: Chapters 1-1068868411 Partial Differentiation69311.1Functions of Several Variables69411.211.311.411.511.6Limits and Continuity701Partial Derivatives710Tangent Planes, Approximations, and DifferentiabilityChain Rules729Directional Derivatives and the Gradient73711.7Extreme of Functions of Two Variables11.8Lagrange MultipliersChapter 11 Review749761770Group Research Project: Desertification775720
Contents77712 Multiple IntegrationTangent planeRvAv12.112.212.312.4Double Integration over Rectangular Regions778Double Integration over Nonrectangular Regions787Double Integrals in Polar Coordinates795Surface Area80412.512.6Triple Integrals812Mass, Moments, and Probability Density Functions12.7Cylindrical and Spherical Coordinates12.8Jacobians: Change of Variables843Chapter 12 Review852Group Research Project: Space-Capsule Design82283385713 Vector Analysis85913.113.213.313.413.513.6Properties of a Vector Field: Divergence and Curl860Line Integrals867The Fundamental Theorem and Path Independence877Green's Theorem887Surface Integrals898Stokes'Theorem90813.7The Divergence Theorem916Chapter 13 Review924Guest Essay: Continous vs. Discrete MathematicsCumulative Review: Chapters 11 - 1 3930Mathematical Essays931Cumulative Review: Chapters 11-1393292914 Introduction to Differential Equations .; --Ejcactsolution14.114.214.3ji/tgh\i x0;First-Order Differential Equations936Second-Order Homogeneous Linear Differential Equations947Second-Order Nonhomogeneous Linear Differential Equations957Chapter 14 Review966Group Research Project: Save the Perch Projectyn).Xvii969935
Monfy J. Strauss Texas Tech University Gerald L Bradley Claremont McKenna College Karl J. Smith Santa Rosa Junior College Prentice Hall, Upper Saddle River, New Jersey 07458. Contents Preface ix 1 Functions and Graphs Input value x ' SljL.1l. L. Output value 5A:2 2 1.1 Preliminaries 2 1.2 Lines in the Plane 13 1.3 Functions and Graphs 19 1.4 Inverse Functions; Inverse Trigonometric .
GBV. Increase public awareness of GBV by moving away from the mere 16 days of activism to a robust 365 days campaign against GBV and encourage every citizen to take specific steps to prevent GBV in both the private and public arena. In light of the recommendations made the Government UN GBV JP facilitated a one day workshop
managing a GBV program with an NGO or coordinating a GBV working group. GBV coordinators can and are recruited without GBV program management experience and sometimes move from coordination into program management positions. Many GBV Program Managers do not move
The Gender Based Violence (GBV) conference will bring together partners working in the GBV Sector; Government Department stakeholders; representatives from donors in the Development Sector, SANAC and the Global Fund. The conference will focus on: The State's Response in dealing with GBV Exploring the link between GBV & HIV
Report Title: Disability Considerations in GBV Programming during . risk mitigation and response efforts during the COVID-19 pandemic. This document complements other resources relating to GBV and COVID-19 and assumes that the user is already familiar with common GBV prevention, risk mitigation and response . There is currently no research .
gender-based violence (GBV) across all sectors of humanitarian response. . promotes resilience and supports lasting solutions to the problem of GBV. Two overarching strategic priorities – inclusivity and adopting a supportive communications . Humanitarian actors are aware of and support the GBV Guidelines, and management and leadership .
What is a Gender-based Violence Specialist? . Able to conduct strategic planning for GBV prevention and response (B) . can and are recruited without GBV program management experience and sometimes move from coordination into program management positions. Many GBV Program Managers do not move into
availability of gender based violence (GBV) prevention and response services and deterred . The Provincial Programme Analyst, GBV will contribute to the effective management of UNFPA supported GBV activities, ensuring multi-sectoral approach to prevention, mitigation . Strategic Engagement and Technical Coordination
Washington University master’s students conducted a literature review on GBV in Ethiopia. Research questions examined the m agnitude of GBV in Ethiopia, GBV laws and policies and their enforcement, the implications of GBV for development work in Ethiopia
