Description:
The new edition regarding Thomas is a return toward what Thomas has always been: the book with the best exercises. For the 11th edition, the authors have added exercises cut in the 10th edition, as well as, going back toward the classic 5th furthermore 6th editions beneficial to additional exercises furthermore examples.
The book's theme is that Calculus is about thinking; one cannot memorize it all. The exercises develop this theme as a pivot point between the lecture in class, furthermore the understanding that comes with applying the ideas regarding Calculus.
In addition, the table regarding contents has been refined toward match the standard syllabus. Many regarding the examples have been trimmed regarding distractions furthermore rewritten with a clear focus at the main ideas. The authors have also excised extraneous information in general furthermore have made the technology much more transparent.
The ambition of
Thomas 11e is toward teach the ideas regarding Calculus so that students will be able toward apply them in new furthermore novel ways, first in the exercises but ultimately in their careers. Every effort has been made toward insure that all content in the new edition reinforces thinking furthermore encourages deep understanding regarding the material.
Table regarding Contents:
1. Preliminaries:
Real Numbers furthermore the Real Line.
Lines, Circles, furthermore Parabolas.
Functions furthermore Their Graphs.
Identifying Functions; Mathematical Models.
Combining Functions; Shifting furthermore Scaling Graphs.
Trigonometric Functions.
Graphing with Calculators furthermore Computers.
2. Limits furthermore Derivatives:
Rates regarding Change furthermore Limits.
Calculating Limits Using the Limit Laws.
Precise Definition regarding a Limit.
One-Sided Limits furthermore Limits at Infinity.
Infinite Limits furthermore Vertical Asymptotes.
Continuity.
Tangents furthermore Derivatives.
3. Differentiation:
The Derivative as a Function.
Differentiation Rules.
The Derivative as a Rate regarding Change.
Derivatives regarding Trigonometric Functions.
The Chain Rule furthermore Parametric Equations.
Implicit Differentiation.
Related Rates.
Linearization furthermore Differentials.
4. Applications regarding Derivatives:
Extreme Values regarding Functions.
The Mean Value Theorem.
Monotonic Functions furthermore the First Derivative Test.
Concavity furthermore Curve Sketching.
Applied Optimization Problems.
Indeterminate Forms furthermore L'Hopital's Rule.
Newton's Method.
Antiderivatives.
5. Integration:
Estimating with Finite Sums.
Sigma Notation furthermore Limits regarding Finite Sums.
The Definite Integral.
The Fundamental Theorem regarding Calculus.
Indefinite Integrals furthermore the Substitution Rule.
Substitution furthermore Area Between Curves.
6. Applications regarding Definite Integrals:
Volumes by Slicing furthermore Rotation About an Axis.
Volumes by Cylindrical Shells.
Lengths regarding Plane Curves.
Moments furthermore Centers regarding Mass.
Areas regarding Surfaces regarding Revolution furthermore The Theorems regarding Pappus.
Work.
Fluid Pressures furthermore Forces.
7. Transcendental Functions:
Inverse Functions furthermore their Derivatives.
Natural Logarithms.
The Exponential Function.
ax furthermore loga x.
Exponential Growth furthermore Decay.
Relative Rates regarding Growth.
Inverse Trigonometric Functions.
Hyperbolic Functions.
8. Techniques regarding Integration:
Basic Integration Formulas.
Integration by Parts.
Integration regarding Rational Functions by Partial Fractions.
Trigonometric Integrals.
Trigonometric Substitutions.
Integral Tables furthermore Computer Algebra Systems.
Numerical Integration.
Improper Integrals.
9. Further Applications regarding Integration:
Slope Fields furthermore Separable Differential Equations.
First-Order Linear Differential Equations.
Euler's Method.
Graphical Solutions regarding Autonomous Equations.
Applications regarding First-Order Differential Equations.
10. Conic Sections furthermore Polar Coordinates:
Conic Sections furthermore Quadratic Equations .
Classifying Conic Sections by Eccentricity.
Quadratic Equations furthermore Rotations.
Conics furthermore Parametric Equations; The Cycloid.
Polar Coordinates .
Graphing in Polar Coordinates.
Area furthermore Lengths in Polar Coordinates.
Conic Sections in Polar Coordinates.
11. Infinite Sequences furthermore Series:
Sequences.
Infinite Series.
The Integral Test.
Comparison Tests.
The Ratio furthermore Root Tests.
Alternating Series, Absolute furthermore Conditional Convergence.
Power Series.
Taylor furthermore Maclaurin Series.
Convergence regarding Taylor Series; Error Estimates.
Applications regarding Power Series.
Fourier Series.
12. Vectors furthermore the Geometry regarding Space:
Three-Dimensional Coordinate Systems.
Vectors.
The Dot Product.
The Cross Product.
Lines furthermore Planes in Space.
Cylinders furthermore Quadric Surfaces .
13. Vector-Valued Functions furthermore Motion in Space:
Vector Functions.
Modeling Projectile Motion.
Arc Length furthermore the Unit Tangent Vector T.
Curvature furthermore the Unit Normal Vector N.
Torsion furthermore the Unit Binormal Vector B.
Planetary Motion furthermore Satellites.
14. Partial Derivatives:
Functions regarding Several Variables.
Limits furthermore Continuity in Higher Dimensions.
Partial Derivatives.
The Chain Rule.
Directional Derivatives furthermore Gradient Vectors.
Tangent Planes furthermore Differentials.
Extreme Values furthermore Saddle Points.
Lagrange Multipliers.
*Partial Derivatives with Constrained Variables.
Taylor's Formula beneficial to Two Variables.
15. Multiple Integrals:
Double Integrals.
Areas, Moments furthermore Centers regarding Mass*.
Double Integrals in Polar Form.
Triple Integrals in Rectangular Coordinates.
Masses furthermore Moments in Three Dimensions.
Triple Integrals in Cylindrical furthermore Spherical Coordinates.
Substitutions in Multiple Integrals.
16. Integration in Vector Fields:
Line Integrals.
Vector Fields, Work, Circulation, furthermore Flux.
Path Independence, Potential Functions, furthermore Conservative Fields.
Green's Theorem in the Plane.
Surface Area furthermore Surface Integrals.
Parametrized Surfaces.
Stokes' Theorem.
The Divergence Theorem furthermore a Unified Theory.
Appendices:
Mathematical Induction.
Proofs regarding Limit Theorems.
Commonly Occurring Limits .
Theory regarding the Real Numbers.
Complex Numbers.
The Distributive Law beneficial to Vector Cross Products.
Determinants furthermore Cramer's Rule.
The Mixed Derivative Theorem furthermore the Increment Theorem.
The Area regarding a Parallelogram's Projection at a Plane.
crysis 2 COMPRESSED GAME FREE DOWNLOAD Crysis 2 is a first-person shooter video game developed by Crytek , published by Electronic Art...
More than 100 Keyboard Shortcuts !!! Keyboard Shortcuts (Microsoft Windows) 1. CTRL+C (Copy) 2. CTRL+X (Cut) 3. CTRL+V (Paste) 4. CTRL+Z (U...
Free Download 18 Wheels of Steel Haulin This 18 Wheels of Steel Haulin PC Game is about: Life on the manner is filled with ...
Commandos 3 Destination Berlin Highly Compressed Commandos 3 Destination Berlin Commandos 3 Destination Berlin Highly ...
trainz simulator 12 full version COMPRESSED GAME FREE DOWNLOAD Trainz Simulator 12 , or TS12 , was released on 12 April 2011. Among other u...
Lost Planet Extreme Condition COMPRESSED GAME FREE DOWNLOAD Lost Planet: Extreme Condition received positive to mixed reviews. Aggregating ...
