Thomas Calculus Early Transcendentals 13th Edition Thomas Solutions Manual

Thomas Calculus Early Transcendentals 13th Edition Thomas Solutions Manual

Product details:

• ISBN-10 ‏ : ‎ 0321884078
• ISBN-13 ‏ : ‎ 978-0321884077
• Author: Joel Hass

Thomas’ Calculus: Early Transcendentals, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded—always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today’s learners.

Table contents:

• (Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.)?
• Preliminaries
• Real Numbers and the Real Line
• Lines, Circles, and Parabolas
• Functions and Their Graphs
• Identifying Functions; Mathematical Models
• Combining Functions; Shifting and Scaling Graphs
• Trigonometric Functions
• Graphing with Calculators and Computers
• 2. Limits and Derivatives
• Rates of Change and Limits
• Calculating Limits Using the Limit Laws
• Precise Definition of a Limit
• One-Sided Limits and Limits at Infinity
• Infinite Limits and Vertical Asymptotes
• Continuity
• Tangents and Derivatives
• 3. Differentiation
• The Derivative as a Function
• Differentiation Rules
• The Derivative as a Rate of Change
• Derivatives of Trigonometric Functions
• The Chain Rule and Parametric Equations
• Implicit Differentiation
• Related Rates
• Linearization and Differentials
• 4. Applications of Derivatives
• Extreme Values of Functions
• The Mean Value Theorem
• Monotonic Functions and the First Derivative Test
• Concavity and Curve Sketching
• Applied Optimization Problems
• Indeterminate Forms and L’Hopital’s Rule
• Newton’s Method
• Antiderivatives
• 5. Integration
• Estimating with Finite Sums
• Sigma Notation and Limits of Finite Sums
• The Definite Integral
• The Fundamental Theorem of Calculus
• Indefinite Integrals and the Substitution Rule
• Substitution and Area Between Curves
• 6. Applications of Definite Integrals
• Volumes by Slicing and Rotation About an Axis
• Volumes by Cylindrical Shells
• Lengths of Plane Curves
• Moments and Centers of Mass
• Areas of Surfaces of Revolution and The Theorems of Pappus
• Work
• Fluid Pressures and Forces
• 7. Transcendental Functions
• Inverse Functions and their Derivatives
• Natural Logarithms
• The Exponential Function
• ax and loga x
• Exponential Growth and Decay
• Relative Rates of Growth
• Inverse Trigonometric Functions
• Hyperbolic Functions
• 8. Techniques of Integration
• Basic Integration Formulas
• Integration by Parts
• Integration of Rational Functions by Partial Fractions
• Trigonometric Integrals
• Trigonometric Substitutions
• Integral Tables and Computer Algebra Systems
• Numerical Integration
• Improper Integrals
• 9. Further Applications of Integration
• Slope Fields and Separable Differential Equations
• First-Order Linear Differential Equations
• Euler’s Method
• Graphical Solutions of Autonomous Equations
• Applications of First-Order Differential Equations
• 10. Conic Sections and Polar Coordinates
• Conic Sections and Quadratic Equations
• Classifying Conic Sections by Eccentricity
• Quadratic Equations and Rotations
• Conics and Parametric Equations; The Cycloid
• Polar Coordinates
• Graphing in Polar Coordinates
• Area and Lengths in Polar Coordinates
• Conic Sections in Polar Coordinates
• 11. Infinite Sequences and Series
• Sequences
• Infinite Series
• The Integral Test
• Comparison Tests
• The Ratio and Root Tests
• Alternating Series, Absolute and Conditional Convergence
• Power Series
• Taylor and Maclaurin Series
• Convergence of Taylor Series; Error Estimates
• Applications of Power Series
• Fourier Series
• 12. Vectors and the Geometry of Space
• Three-Dimensional Coordinate Systems
• Vectors
• The Dot Product
• The Cross Product
• Lines and Planes in Spa

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