Multivariable Calculus

This is now an "archived" page from my days at Kennesaw Mountain High School.  Although I am no longer teaching a multivariable calculus course, I know that former students and colleagues still use the information from when I did.  I've tried to collect the useful content into this one page.

 

I do not anticipate many changes to this page once everything is archived.  If, however, you notice any errors or have suggestions for improvements, please don't hesitate to email me at mrdeck@bellsouth.net.

 

 

Archived Content:

 

Graphing in Maple

 

I used to have a whole page dedicated to graphing various objects in Maple, but I have tried to streamline its content into a single Word document.  This file, in conjunction with the "tips" files below, should give anyone a basic understanding of the program with regards to Multivariable Calculus.

 

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Graphing Help

 

 

Portfolio

 

Seeing as the portfolio has been such an important part of this course, I've opted to leave the original portfolio page unaltered for now.  I might try to streamline it as well, but for now you can click here to go to the portfolio page.

 

 

Maple Tips.

 

The last time I taught this course, I put together a few Maple worksheets that walked through the most common commands used in the course.  While the files are organized by Stewart's Calculus: Concepts and Contexts textbook, hopefully the information can be beneficial regardless of the textbook used.

 

The worksheets (*mws) can be opened and executed only with the Maple software, but I've also included PDF versions of the executed worksheets just in case someone needs to review them and doesn't have Maple handy.

 

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Chapter 9 (Vector Geometry) - Maple / PDF

 

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Chapter 10 (Vector Functions) - Maple / PDF

 

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Chapter 11 (Differentiation) - Maple / PDF

 

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Chapter 12 (Integration) - Maple / PDF

 

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Chapter 13 (Vector Calculus) - Maple / PDF

 

 

Just For Fun.

 

You know you're a math nerd when...

1)  ...you refer to numbers as "pretty" or "ugly".

2)  ...you get excited when fractions simplify.

3)  ...you start making up variables like J to make problems more fun.

4)  ...there's a breakthrough when you learn the power rule.

5)  ...you decide to "e" something in a problem.

6)  ...you get excited to use pretty colors when drawing graphs.

7)  ...Maple isn't just a type of syrup.

8)  ...you type random equations into Maple to see who can make the coolest graph.

9)  ...you compete with your friends to see who's laptop has more battery or boots up faster.

10)  ...you get a buzz from Expo markers when solving a problem.

11)  ...a derivative turns out to be "fancy-dancy".

12)  ...you get excited when you get to use new Greek letters.

13)  ...you forget how to do or mess up basic concepts (like multiplication).

14)  ...you're superstitious by who you sit by and who you study with for tests and quizzes.

15)  ...you buy a $150 calculator and get excited when you get to use it.

16)  ...you use the wall, the wall, the floor, and the corner to visualize graphs.

17)  ...the symbols ¢, ò, å, çç, ^, ×, and x all make perfect sense.

18)  ...capital and lowercase letters make a huge difference in a problem.

19)  ...sports terms come into math tests and problems.

20)  ...you complain on physics tests that you don't have the function to derive to find velocity.

21)  ...you learn to "love you some sines and cosines".

22)  ...you realize you're actually using letters more often than numbers.

23)  ...you get frustrated when tutoring kids who haven't learned the shortcuts and you can't remember how to do it the long way.

24)  ...you can no longer pronounce math terms correctly (l'Hospital, centripetal).

25)  ...you never do math homework.

26)  ...when all else fails, you start deriving.

27)  ...when in doubt, p.

28)  ...the harder the material, the less you study.

29)  ...theta is your favorite color.

30)  ...you make a list about how much of a math nerd you are and show it to people.

 

Authored by Alexa and Erica, with input from Ashley and Caryn, 2004.