Author(s): Joel Feldman, Andrew Rechnitzer and Elyse Yeager
Series: CLP Calculus 04
Edition: Exercises
Publisher: University of British Columbia
Year: 2021
Language: English
Tags: mathematics; maths; math; calc; calculus; single variable; limits; differentiation; differential; integration; integral; continuity; differentiability; analysis; real; complex; multiple variables; multivariable; multivariate; several variables; many variables
How to use this book
I The questions
Curves
Derivatives, Velocity, Etc.
Reparametrization
Curvature
Curves in Three Dimensions
Integrating Along a Curve
Sliding on a Curve
Polar Coordinates
Vector Fields
Definitions and First Examples
Field Lines
Conservative Vector Fields
Line Integrals
Surface Integrals
Parametrized Surfaces
Tangent Planes
Surface Integrals
Integral Theorems
Gradient, Divergence and Curl
The Divergence Theorem
Green's Theorem
Stokes' Theorem
True/False and Other Short Questions
II Hints to problems
1.1 Derivatives, Velocity, Etc
1.2 Reparametrization
1.3 Curvature
1.4 Curves in Three Dimensions
1.6 Integrating Along a Curve
1.7 Sliding on a Curve
1.8 Polar Coordinates
2.1 Definitions and First Examples
2.2 Field Lines
2.3 Conservative Vector Fields
2.4 Line Integrals
3.1 Parametrized Surfaces
3.2 Tangent Planes
3.3 Surface Integrals
4.1 Gradient, Divergence and Curl
4.2 The Divergence Theorem
4.3 Green's Theorem
4.4 Stokes' Theorem
5 True/False and Other Short Questions
III Answers to problems
1.1 Derivatives, Velocity, Etc
1.2 Reparametrization
1.3 Curvature
1.4 Curves in Three Dimensions
1.6 Integrating Along a Curve
1.7 Sliding on a Curve
1.8 Polar Coordinates
2.1 Definitions and First Examples
2.2 Field Lines
2.3 Conservative Vector Fields
2.4 Line Integrals
3.1 Parametrized Surfaces
3.2 Tangent Planes
3.3 Surface Integrals
4.1 Gradient, Divergence and Curl
4.2 The Divergence Theorem
4.3 Green's Theorem
4.4 Stokes' Theorem
5 True/False and Other Short Questions
IV Solutions to problems
1.1 Derivatives, Velocity, Etc
1.2 Reparametrization
1.3 Curvature
1.4 Curves in Three Dimensions
1.6 Integrating Along a Curve
1.7 Sliding on a Curve
1.8 Polar Coordinates
2.1 Definitions and First Examples
2.2 Field Lines
2.3 Conservative Vector Fields
2.4 Line Integrals
3.1 Parametrized Surfaces
3.2 Tangent Planes
3.3 Surface Integrals
4.1 Gradient, Divergence and Curl
4.2 The Divergence Theorem
4.3 Green's Theorem
4.4 Stokes' Theorem
5 True/False and Other Short Questions
