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University Calculus Early Transcendentals 4th edition By Joel Hass, Christopher Heil, Przemyslaw Bogacki, George Thomas, Maurice Weir ISBN 0136880912 9780136880912
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University Calculus Early Transcendentals 4th edition By Joel Hass, Christopher Heil, Przemyslaw Bogacki, George Thomas, Maurice Weir – Ebook PDF Instant Download/Delivery: 0136880912, 9780136880912
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ISBN 10: 0136880912
ISBN 13: 9780136880912
Author: Joel Hass, Christopher Heil, Przemyslaw Bogacki, George Thomas, Maurice Weir
University Calculus: Early Transcendentals helps you generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures and superior exercise sets. It offers the right mix of basic, conceptual and challenging exercises along with meaningful applications. In the 4th Edition, new co-authors Chris Heil (Georgia Institute of Technology) and Przemyslaw Bogacki (Old Dominion University) partner with Joel Hass to preserve the text’s time-tested features while revisiting every word, figure and question with students like you in mind. It is ideal for 3-semester or 4-quarter courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences or economics.
University Calculus Early Transcendentals 4th Table of contents:
- Functions
- 1.1 Functions and Their Graphs
- 1.2 Combining Functions; Shifting and Scaling Graphs
- 1.3 Trigonometric Functions
- 1.4 Graphing with Software
- 1.5 Exponential Functions
- 1.6 Inverse Functions and Logarithms
- 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 Continuity
- 2.6 Limits Involving Infinity; Asymptotes of Graphs
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- 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
- 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
- Integrals
- 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
- 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
- 6.6 Moments and Centers of Mass
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- Integrals and Transcendental Functions
- 7.1 The Logarithm Defined as an Integral
- 7.2 Exponential Change and Separable Differential Equations
- 7.3 Hyperbolic Functions
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- Techniques of Integration
- 8.1 Integration by Parts
- 8.2 Trigonometric Integrals
- 8.3 Trigonometric Substitutions
- 8.4 Integration of Rational Functions by Partial Fractions
- 8.5 Integral Tables and Computer Algebra Systems
- 8.6 Numerical Integration
- 8.7 Improper Integrals
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- 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
- 9.10 Applications of Taylor Series
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- 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
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- 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
- 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
- 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 Multiplier
- Questions to Guide Your Review
- Practice Exercises
- Additional and Advanced Exercises
- 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
- 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
- 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
- Second-Order Differential Equations
- 17.1 Second-Order Linear Equations
- 17.2 Non-homogeneous Linear Equations
- 17.3 Applications
- 17.4 Euler Equations
- 17.5 Power-Series Solutions
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Tags: Joel Hass, Christopher Heil, Przemyslaw Bogacki, George Thomas, Maurice Weir, University Calculus