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Thomas' Calculus.

For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or scienceClarity and precisionThomas' Calculus: Early Transcendentalshelps students reach the level of mathematical proficiency and maturity you require, but with support for students who...

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Bibliographic Details
Main Author: Hass, Joel R.
Other Authors: Heil, Christopher E., Weir, Maurice D.
Format: eBook
Language:English
Published: Harlow, United Kingdom : Pearson Education, Limited, 2019.
Edition:14th ed.
Subjects:
Calculus-Textbooks..
Geometry, Analytic-Textbooks.
Electronic books.
Online Access:View fulltext via EzAccess
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245 1 0 |a Thomas' Calculus. 
250 |a 14th ed. 
264 1 |a Harlow, United Kingdom :  |b Pearson Education, Limited,  |c 2019. 
264 4 |c ©2019. 
300 |a 1 online resource (1234 pages) 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a Front Cover -- My Lab Promotional Material -- Title Page -- Copyright Page -- Contents -- Preface -- 1 Functions -- 1.1 Functions and Their Graphs -- 1.2 Combining Functions -- Shifting and Scaling Graphs -- 1.3 Trigonometric Functions -- 1.4 Exponential Functions -- 1.5 Inverse Functions and Logarithms -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 2 Limits and Continuity -- 2.1 Rates of Change and Tangent Lines to Curves -- 2.2 Limit of a Function and Limit Laws -- 2.3 The Precise Definition of a Limit -- 2.4 One‐Sided Limits -- 2.5 Limits Involving Infinity -- Asymptotes of Graphs -- 2.6 Continuity -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 3 Derivatives -- 3.1 Tangent Lines and the Derivative at a Point -- 3.2 The Derivative as a Function -- 3.3 Differentiation Rules -- 3.4 The Derivative as a Rate of Change -- 3.5 Derivatives of Trigonometric Functions -- 3.6 The Chain Rule -- 3.7 Implicit Differentiation -- 3.8 Derivatives of Inverse Functions and Logarithms -- 3.9 Inverse Trigonometric Functions -- 3.10 Related Rates -- 3.11 Linearization and Differentials -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 4 Applications of Derivatives -- 4.1 Extreme Values of Functions on Closed Intervals -- 4.2 The Mean Value Theorem -- 4.3 Monotonic Functions and the First Derivative Test -- 4.4 Concavity and Curve Sketching -- 4.5 Indeterminate Forms and L'HÔpital's Rule -- 4.6 Applied Optimization -- 4.7 Newton's Method -- 4.8 Antiderivatives -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 5 Integrals. 
505 8 |a 5.1 Area and Estimating with Finite Sums -- 5.2 Sigma Notation and Limits of Finite Sums -- 5.3 The Definite Integral -- 5.4 The Fundamental Theorem of Calculus -- 5.5 Indefinite Integrals and the Substitution Method -- 5.6 Definite Integral Substitutions and the Area Between Curves -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 6 Applications of Definite Integrals -- 6.1 Volumes Using Cross‐Sections -- 6.2 Volumes Using Cylindrical Shells -- 6.3 Arc Length -- 6.4 Areas of Surfaces of Revolution -- 6.5 Work and Fluid Forces -- 6.6 Moments and Centers of Mass -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 7 Integrals and Transcendental Functions -- 7.1 The Logarithm Defined as an Integral -- 7.2 Exponential Change and Separable Differential Equations -- 7.3 Hyperbolic Functions -- 7.4 Relative Rates of Growth -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- 8 Techniques of Integration -- 8.1 Using Basic Integration Formulas -- 8.2 Integration by Parts -- 8.3 Trigonometric Integrals -- 8.4 Trigonometric Substitutions -- 8.5 Integration of Rational Functions by Partial Fractions -- 8.6 Integral Tables and Computer Algebra Systems -- 8.7 Numerical Integration -- 8.8 Improper Integrals -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 9 Infinite Sequences and Series -- 9.1 Sequences -- 9.2 Infinite Series -- 9.3 The Integral Test -- 9.4 Comparison Tests -- 9.5 Absolute Convergence -- The Ratio and Root Tests -- 9.6 Alternating Series and Conditional Convergence -- 9.7 Power Series -- 9.8 Taylor and Maclaurin Series -- 9.9 Convergence of Taylor Series. 
505 8 |a 9.10 Applications of Taylor Series -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 10 Parametric Equations and Polar Coordinates -- 10.1 Parametrizations of Plane Curves -- 10.2 Calculus with Parametric Curves -- 10.3 Polar Coordinates -- 10.4 Graphing Polar Coordinate Equations -- 10.5 Areas and Lengths in Polar Coordinates -- 10.6 Conic Sections -- 10.7 Conics in Polar Coordinates -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 11 Vectors and the Geometry of Space -- 11.1 Three‐Dimensional Coordinate Systems -- 11.2 Vectors -- 11.3 The Dot Product -- 11.4 The Cross Product -- 11.5 Lines and Planes in Space -- 11.6 Cylinders and Quadric Surfaces -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 12 Vector‐Valued Functions and Motion in Space -- 12.1 Curves in Space and Their Tangents -- 12.2 Integrals of Vector Functions -- Projectile Motion -- 12.3 Arc Length in Space -- 12.4 Curvature and Normal Vectors of a Curve -- 12.5 Tangential and Normal Components of Acceleration -- 12.6 Velocity and Acceleration in Polar Coordinates -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 13 Partial Derivatives -- 13.1 Functions of Several Variables -- 13.2 Limits and Continuity in Higher Dimensions -- 13.3 Partial Derivatives -- 13.4 The Chain Rule -- 13.5 Directional Derivatives and Gradient Vectors -- 13.6 Tangent Planes and Differentials -- 13.7 Extreme Values and Saddle Points -- 13.8 Lagrange Multipliers -- 13.9 Taylor's Formula for Two Variables -- 13.10 Partial Derivatives with Constrained Variables -- Questions to Guide Your Review. 
505 8 |a Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 14 Multiple Integrals -- 14.1 Double and Iterated Integrals over Rectangles -- 14.2 Double Integrals over General Regions -- 14.3 Area by Double Integration -- 14.4 Double Integrals in Polar Form -- 14.5 Triple Integrals in Rectangular Coordinates -- 14.6 Applications -- 14.7 Triple Integrals in Cylindrical and Spherical Coordinates -- 14.8 Substitutions in Multiple Integrals -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 15 Integrals and Vector Fields -- 15.1 Line Integrals of Scalar Functions -- 15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux -- 15.3 Path Independence, Conservative Fields, and Potential Functions -- 15.4 Green's Theorem in the Plane -- 15.5 Surfaces and Area -- 15.6 Surface Integrals -- 15.7 Stokes' Theorem -- 15.8 The Divergence Theorem and a Unified Theory -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- 16 First‐Order Differential Equations -- 16.1 Solutions, Slope Fields, and Euler's Method -- 16.2 First‐Order Linear Equations -- 16.3 Applications -- 16.4 Graphical Solutions of Autonomous Equations -- 16.5 Systems of Equations and Phase Planes -- Questions to Guide Your Review -- Practice Exercises -- Additional and Advanced Exercises -- Technology Application Projects -- Appendices -- A.1 Real Numbers and the Real Line -- A.2 Graphing with Software -- A.3 Mathematical Induction -- A.4 Lines, Circles, and Parabolas -- A.5 Proofs of Limit Theorems -- A.6 Commonly Occurring Limits -- A.7 Theory of the Real Numbers -- A.8 Complex Numbers -- A.9 Probability -- A.10 The Distributive Law for Vector Cross Products. 
505 8 |a A.11 The Mixed Derivative Theorem and the Increment Theorem -- Answers to Odd‐Numbered Exercises -- Credits -- Applications Index -- Subject Index -- A Brief Table of Integrals -- Basic Algebra Formulas -- Limits, Differentiation Rules, and Integration Rules -- Back Cover. 
520 |a For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or scienceClarity and precisionThomas' Calculus: Early Transcendentalshelps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intui. 
526 0 |a AS120 - Diploma in Science  |z Syllabus Programme 
588 |a Description based on publisher supplied metadata and other sources. 
590 |a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2021. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.  
650 0 |a Calculus-Textbooks.. 
650 0 |a Geometry, Analytic-Textbooks. 
655 4 |a Electronic books. 
700 1 |a Heil, Christopher E. 
700 1 |a Weir, Maurice D. 
776 0 8 |i Print version:  |a Hass, Joel R.  |t Thomas' Calculus: Early Transcendentals in SI Units  |d Harlow, United Kingdom : Pearson Education, Limited,c2019  |z 9781292253114 
797 2 |a ProQuest (Firm) 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=https://ebookcentral.proquest.com/lib/uitm-ebooks/detail.action?docID=5621638  |z View fulltext via EzAccess 
966 0 |a 2021  |b ProQuest Ebook Central  |c UiTM Library  |d Mohd Fadhli Samsudin  |e Faculty of Applied Sciences  |f ProQuest 

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