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Calculus A New Horizon Combined 6th Edition by Howard Anton

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Calculus eBooks . We hope mathematician or person who’s interested in mathematics like these books. Calculus A New Horizon Combined 6th Edition written by Howard Anton . This text is aimed at future engineers and professional scientists. Applications modules at the ends of chapters demonstrate the need to relate theoretical mathematical concepts to real world examples. These modules examine problem-solving as it occurs in industry or research settings, such as the use of wavelets in music and voice synthesis and in FBI fingerprint analysis and storage.

Calculus A New Horizon Combined 6th Edition written by Howard Anton cover the following topics.

• 1. Functions
1.1 Functions and the Analysis of Graphical lnformation
1.2 Properties of Functions
1.3 Graphing Functions on Calculators and Computers; Computer Algebra Systems
1.4 New Functions {rom Old
1.5 Mathematical Models; Linear Models
1.6 Families of Functions
1.7 ParametricEquations
Horizon Module: lteration and Dynamical Systems

• 2. Limit and AND Continuity
2.1 Limits (An lntuitive lntroduction)
2.2 Limits(ComputationalTechniques)
2.3 Limits (Discussed More Rigorously)
2.4 Continuity
2.5 Limits and Continuity of Trigonometric Functions

• 3. The Derivative
3.1 Tangent Lines and Rates of Change
3.2 The Derivative
3.3 Techniques of.Differentiation
3.4 Derivatives of Trigonometric Functions
3.5 The Chain Rule
3.6 Local LinearApproximation; Differentials
Horizon Module e: Robotics

• 4. Logarithmic and Exponential Funtions
4.1 lnverse Functions
4.2 Logarithmic and Exponential Functions
4.3 lmplicitDifferentiation
4.4 Derivatives of Logarithmic and Exponential Functions
4.5 Derivatives of Inverse Trigonometric Functions
4.6 Related Rates
4.7 L Hopital s Rule; lndeterminate Forms

• 5. Analysis of Functions and their Graphs
5.1 Analysis of Functions l: lncrease, Decrease, and Concavity
5.2 Ana ysis of Functions ll: Relative Extrema; First and Second Derivative Tests
5.3 Analysis of Functions lll: Applying Technology and the Tools of Calculus
5.4 Horizontal Module: Functions from Data

• 6. Application of the derivative
6.1 Absolute Maxima and Minima
6.2 Applied Maximum and Minimum Problems
6.3 Rectilinear Motion (Motion Along a Line)
6.4 Newton's Method
6.5 Rolle s Theorem; Mean-Value Theorem

• 7. Integration
7.1 An Overview of the Area Problem
7.2 The lndefinite lntegral; lntegral Curves and Direction Fields
7.3 lntegration by Substitution
7.4 Sigma Notation
7.5 The Definite lntegral
7.6 The Fundamental Theorem of Calculus
7.7 Rectilinear Motion Revisited; Average Value
7.8 Evaluating Definite lntegrals by Substitution
7.9 Logarithmic Functions from the lntegral Pojnt of View
7.10 Hor zon Module: Blammo the Human Cannonbal

• 8. Application of Definite Integral in Geometry and Science and Engineering
8.1 Area Between Two Curves
8.2 Volumes by Slicing; Disks and Washers
8.3 Volumes by Cyhndrrcal Shells
8.4 Length o{ a Plane Curve
8.5 Area of a Surface of Revolution
8.6 Work
8.7 Fluid Pressure and Force
8.8 Hyperbolic Functions and Hanging Cables

• 9. Principle of Integral Equations
9.1 An Overview of lntegration Methods
9.2 lntegration by Parts 516
9.3 Trigonometriclntegrals
9.4 Trigonometric Substitutions
9.5 lntegrating Rational Functions by Partial Fractions
9.6 Using Tables of lntegrals and Computer Algebra Systems
9.7 Numerical lntegration; Simpson's Rule
9.8 lmproper lntegrals
9.9 Honzil [,'locLr e Ri rl::r] les gn

• 10. Mathematical Methods with Differential Equations
10.1 Frrst-Order Differential Equations and Applications
10.2 Direction Fields; Euler's Method
10.3 Modeling with Differential Equations

• 11. Infinite Series
11.1 Sequences
11.2 Monotone Sequences
11.3 lnfinite Series
11.4 Convergence Tests
1i.5 Taylor and Maclaurin Series
1i.6 The Comparison, Ratio, and Root Tests
11.7 Alternating Series; Conditional Convergence
11.8 Power Series
11.9 Convergence of Taylor Series; Computational Methods
11.10 Differentiating and Integrating Power Series; Modeling with Taylor Series

• 12 Analytical Geometry in Calculus
12.1 Polar Coordinates
12.2 Tangent Lines and Arc Length for Parametric and Polar Curves
12.3 Area in Polar Coordinates
12.4 Conic Sectrons in Calculus
12.5 Conic Sectrons in Polar Coordinates
12.6 Horizon Module: Comet Col sion

• 13. Three-Dimentional Space; Vectors
13.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces
13.2 Vectors
13.3 Dot Product; Projections
13.4 Cross Product
13.5 Parametrjc Equations of Lines
13.6 Planes in 3-Space
13.8 Cylindr cal and Spherical Coordinates

• 14. Vector Values Functions
l4.l lntroduction to Vector-Valued Functions
14.2 Calculus of Vector-Valued Functions
14.3 Change of Parameter; Arc Length
14.4 Unit Tangent, Normal, and Binormal Vectors
14.5 Curvature
14.6 lVotion Along a Curve
14.7 Kepler's Laws o{ Planetary lVotion

• 15. Partial Derivative
15.1 Functions of Two or More Variables
15.2 Limits and Continuity
15.3 Partial Derivatives
15.4 Differentiability and Chain Rules
15.5 Tangent Planes; Total Differentials for Functrons of Two Variables
15.6 Directional Derivatives and Grad ents for Functions of Two Variables
15.7 Differentiability, Directional Derivatives, and Gradients for Functions of Three or More Variables
15.8 Maxima and Minima of Functions o{ Two Variables
15.9 Lagrange Multipllers

• 16. Multiple Integral
16.1 Double lntegrals
16.2 Double lntegrals over Nonrectangular Regions 985 f6.3 Double lntegrals in Polar Coordinates
16.4 Parametric Surfacesi Surface Area
16.5 Triple lntegrals
16.6 Centroid, Center of Gravity, Theorem of Pappus
16.7 Triple lntegrals in Cylindrical and Spherical Coordinates
16.8 Change ot Variables in lVlultiple Integrals; Jacobians

• 17. Topics in vector Calculus
17.l Vector Fields
17.2 Line lntegrals
17.3 lndependence of Path; Conservative Vector Fields
17.4 Green's Theorem
17.5 Surface Integrals
17.6 Applications of Surface Integrals; Flux
17.7 The Divergence Theorem
17.8 Stokes' Theorem

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##### Worksheets (Solved)

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