Calculus volume 3

OpenStax

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0.1 About openstax

0.2 About openstax's resources

0.3 Customization

0.6 About Calculus Volume 3

0.7 Coverage and scope

0.8 Pedagogical foundation

0.9 Assessments that reinforce key concepts

0.10 Early or late transcendentals

0.11 Comprehensive art program

0.12 Assessments that reinforce key concepts

0.13 Ancillaries

0.15 About our team

0.16 Senior contributing authors

0.17 Contributing authors

1 Table of integrals

2 Table of derivatives

3 Review of pre-calculus

Parametric equations and polar coordinates

1 Parametric equations

2 Calculus of parametric curves

3 Polar coordinates

4 Area and arc length in polar coordinates

5 Conic sections

Vectors in space

1 Vectors in the plane

2 Vectors in three dimensions

3 The dot product

4 The cross product

5 Equations of lines and planes in space

6 Quadric surfaces

7 Cylindrical and spherical coordinates

Vector-valued functions

1 Vector-valued functions and space curves

2 Calculus of vector-valued functions

3 Arc length and curvature

4 Motion in space

Differentiation of functions of several variables

1 Functions of several variables

2 Limits and continuity

3 Partial derivatives

4 Tangent planes and linear approximations

5 The chain rule

6 Directional derivatives and the gradient

7 Maxima/minima problems

8 Lagrange multipliers

Multiple integration

1 Double integrals over rectangular regions

2 Double integrals over general regions

3 Double integrals in polar coordinates

4 Triple integrals

5 Triple integrals in cylindrical and spherical coordinates

6 Calculating centers of mass and moments of inertia

7 Change of variables in multiple integrals

Vector calculus

1 Vector fields

2 Line integrals

3 Conservative vector fields

4 Green’s theorem

5 Divergence and curl

6 Surface integrals

7 Stokes’ theorem

8 The divergence theorem

Second-order differential equations

1 Second-order linear equations

2 Nonhomogeneous linear equations

4 Series solutions of differential equations

Source: OpenStax, Calculus volume 3. OpenStax CNX. Feb 05, 2016 Download for free at http://legacy.cnx.org/content/col11966/1.2

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