WI1402LR Calculus II
Calculus II
WI1402LR
Delft University of Technology
1
, WI1402LR Calculus II
Table of Contents
Directional derivative………………….………………………………………………………………………………………………………3
Smallest distance from a point to an object’s surface..……………………………………………………………………….3
Double integrals………………………………………………………….……………………………………………………………………..4
Polar coordinates…………..………………..………………………………………………………………………………..............……4
Volumes…….……………………………………………………………………………………………………………………………………….5
Cylindrical coordinates…………….…………………………………………………………………………………………………………5
Spherical coordinates…………………………………………………………………………………………………………………………5
Different variables………………………………………………………………………………………………………………………………6
Line integrals………………………………………………………………………………………………………………………………………6
Calculating ∫ 𝐹⃗ ∙ 𝑑𝑟⃗………………………………………………………………………………………………………………………….7
𝐶
Green’s theorem…………………………………………………………………………………………………………………………………7
Area……………………………………………………………………………………………………………………………………………………8
The flux………………………………………………………………………………………………………………………………………………8
2
Calculus II
WI1402LR
Delft University of Technology
1
, WI1402LR Calculus II
Table of Contents
Directional derivative………………….………………………………………………………………………………………………………3
Smallest distance from a point to an object’s surface..……………………………………………………………………….3
Double integrals………………………………………………………….……………………………………………………………………..4
Polar coordinates…………..………………..………………………………………………………………………………..............……4
Volumes…….……………………………………………………………………………………………………………………………………….5
Cylindrical coordinates…………….…………………………………………………………………………………………………………5
Spherical coordinates…………………………………………………………………………………………………………………………5
Different variables………………………………………………………………………………………………………………………………6
Line integrals………………………………………………………………………………………………………………………………………6
Calculating ∫ 𝐹⃗ ∙ 𝑑𝑟⃗………………………………………………………………………………………………………………………….7
𝐶
Green’s theorem…………………………………………………………………………………………………………………………………7
Area……………………………………………………………………………………………………………………………………………………8
The flux………………………………………………………………………………………………………………………………………………8
2
