(Issued Wed, Sep 27) Due Wed, Oct 4

Reading: Boas Ch. 5.5, 6.10 . Blachman Chapters 7 and 9.

1) Boas 5.3.1

2) Boas 5.4.2(a,b,c,e) (Note! If you did the optional problems assigned last week, you have already done 5.4.2c)

3a) Find a unit normal to the plane . Also find , where [[phi]] = constant describes the surface of this plane.

b) Find a unit normal to the paraboloid . (Choose the direction so points out of the paraboloid). Also find for this surface.

4) Boas 5.5.3 (This was also one of the optional problems from last week!)

5) Boas 5.5.4. (I got Pi/Sqrt(6))

6) Boas 5.5.7 (I got 4. This one was kind of tricky for me to picture, so I ended up sawing a toilet paper center tube in my mitre box to check my answer:-))

7) The first time you used a NeXt, the Mma application wasn't yet on your dock - you had to go find it. Today you need to find a file in a similar way. When you start up, you should see the "window manager" program, with your home directory contents in the big (lower) space. In the smaller center space there is a line of icons, the leftmost one has the name of the computer you're working on (the name of a famous physicist). Double click on that, and the big space below should now fill with the subdirectories of your machine. One of those (probably the 2nd or so) should look like a folder, with the name "Classes". Double click it, and that should open up and show you more subdirectories. One of those is called "Physics2140": double click on it. Now you should see several files, including one called "hw5notebook.ma" Double click on that, and it should start up Mma. You are now looking at a notebook I wrote. Please start reading from the top, and follow the instructions in it. Follow through the whole thing. (This will guide you through a process of writing functions in Mma, sort of primitive Mma programming!)