Page 1

Lectures 17 and 18 Polar, Cylindrical and Spherical Coordinates Calculus II Topic 3: Vector Functions

Calculus II

Santiago de Vicente

1


Polar coordinates: The pirates point of view

Calculus II

Santiago de Vicente

2


Polar coordinates: the relations

Calculus II

Santiago de Vicente

3


Some properties (1)

Calculus II

Santiago de Vicente

4


Some properties (2)

Calculus II

Santiago de Vicente

5


The polar equation for a circle

Calculus II

Santiago de Vicente

6


Simple Examples

Calculus II

Santiago de Vicente

7


More examples

Calculus II

Santiago de Vicente

8


Another circle

Calculus II

Santiago de Vicente

9


A circular sector

Calculus II

Santiago de Vicente

10


A semicircle

Calculus II

Santiago de Vicente

11


The slope of a polar curve

Calculus II

Santiago de Vicente

12


Drawing a Cardioid

Calculus II

Santiago de Vicente

13


Another Cardioid

Calculus II

Santiago de Vicente

14


Drawing a Lemniscate

Calculus II

Santiago de Vicente

15


The Bernouilli Lemniscate

Calculus II

Santiago de Vicente

16


Another Method

Calculus II

Santiago de Vicente

17


The Limacon

Calculus II

Santiago de Vicente

18


The polar equation of a Straight Line

Calculus II

Santiago de Vicente

19


The polar equation for a general circle

Calculus II

Santiago de Vicente

20


Two circles

Calculus II

Santiago de Vicente

21


Two more circles

Calculus II

Santiago de Vicente

22


Several polar circles

Calculus II

Santiago de Vicente

23


Cylindrical Coordinates: the point of view of a plumber

Calculus II

Santiago de Vicente

24


The cylinder equation

Calculus II

Santiago de Vicente

25


Constant Coordinates

Calculus II

Santiago de Vicente

26


A Cylinder and a Paraboloid

Calculus II

Santiago de Vicente

27


Spherical Coordinates: the Earth point of view

Spherical Coordinates

Earth Coordinates

Calculus II

Santiago de Vicente

28


Spherical Coordinates

Calculus II

Santiago de Vicente

29


Constant coordinates

Calculus II

Santiago de Vicente

30


A Sphere

Calculus II

Santiago de Vicente

31


A cone

Calculus II

Santiago de Vicente

32


An ice cream

Calculus II

Santiago de Vicente

33


Summary:

Calculus II

Santiago de Vicente

34


Homework

Calculus II

Santiago de Vicente

35

3.1_3.2_Polares_Cilindricas_Esfericas  

Calculus II Topic 3: Vector Functions Calculus II Santiago de Vicente 1 Polar coordinates: The pirates point of view Calculus II Santiago de...

Read more
Read more
Similar to
Popular now
Just for you