{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

8.022pset0

# 8.022pset0 - Massachusetts Institute of Technology...

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

Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Assignment 0: Math review/practice Post date: Tuesday, February 3rd Due date: Thursday, February 5th Be sure to write your name and section number on your pset Please staple multiple pages together The purpose of this assignment is to give you some inkling of the kind of math that you will be doing in 8.022. 1. Circle your recitation section: (a) R01 (b) R02 (c) R03 (d) R04 Remember your answer and write it on all 8.022 assignments (including this one!) and exams. 2. Partial derivatives and coordinate conversions (20 pts) (a) f ( x, y, z ) = 1 / x 2 + y 2 + z 2 . Compute ∂f/∂x , ∂f/∂y , and ∂f/∂z . (b) Defining the radial displacement vector ~ r = x ˆ x + y ˆ y + z ˆ z , write down a very simple form for the following quantity: ~ f ˆ x ∂f ∂x + ˆ y ∂f ∂y + ˆ z ∂f ∂z . (Note that the symbol means “is equivalent to” or “is defined as”. The symbol ~ is the gradient operator; some of you may already be familiar with it. The rest of you will be very soon!) (c) Convert to cylindrical coordinates. Put x = r c cos φ , y = r c sin φ ; leave z untouched. Compute ∂f/∂r c , ∂f/∂φ , ∂f/∂z .

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