{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 34 - Lecture 5 References Marsden and Tromba Vector...

This preview shows pages 1–2. Sign up to view the full content.

Lecture 5 January 10, 2012 References: Marsden and Tromba, Vector Calculus , E.B. Wilson, Vector Analysis , Courant and John, Introduction to Calculus and Analysis 1 3D coordinate systems We live in a three dimensional world, hence it is helpful to be able to represent points, surfaces and volumes in three dimensional space. We have denoted a point in cartesian coordinates in two dimensions by ( x, y ) R 2 ADD PICTURE The extension to three dimensions is easy, we denote a point by ( x, y, z ) R 3 . ADD PICTURE Note that the convection for howe we order our coordinate system can be im- portant in applications. It is good to be consistent, and in most applications a right-handed coordinate system is assumed. In this setting if the thumb on our right hand points up, then if we curve our fingers around, they go from the x - axis to the y - axis. As an example the point (1 , 3 , 4) has x - coordinate 1, y - coordinate 3 and x - coordinate 4.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern