Tip of the Month: March
Congratulations to Juan Zavala, winner of Tip of the Month: March ($112 at Amazon).
INSTALL MATHEMATICA!!!
Also, if you have installed mathematica then do all the tutorials and "how to's", this really helps you understand modelling and follow the mathematica demonstrations the professor does in class.
If you are having trouble installing mathematica, heres wat you have to do:
1. buy the cd from OIT (or the Terrapin Technology Store)
2. call OIT and get the campus license number and instructions.
3. register mathematica and obtain a password so the software wont expire in 14 days.
http://demonstrations.wolfram.com/PartialDerivativesIn3D/
I also found this demonstration interesting...partial derivatives in 3d, click on the demonstration and do either web preview or download live version.
Seriously, get and install mathematica...it is awesome and has helped me alot and its a great skill to put on your resume, especially if your planning to go into a field of quantitative analysis..i.e. finance, wealth management, etc.
Also, if you have installed mathematica then do all the tutorials and "how to's", this really helps you understand modelling and follow the mathematica demonstrations the professor does in class.
If you are having trouble installing mathematica, heres wat you have to do:
1. buy the cd from OIT (or the Terrapin Technology Store)
2. call OIT and get the campus license number and instructions.
3. register mathematica and obtain a password so the software wont expire in 14 days.
http://demonstrations.wolfram.com/PartialDerivativesIn3D/
I also found this demonstration interesting...partial derivatives in 3d, click on the demonstration and do either web preview or download live version.
Seriously, get and install mathematica...it is awesome and has helped me alot and its a great skill to put on your resume, especially if your planning to go into a field of quantitative analysis..i.e. finance, wealth management, etc.
posted by Professor Cramton at
6:28 PM
11 Comments:
We learn the quotient rule yesterday, here is a trick to help remember it. My high school calculus teacher taught it.
Rule: f(x)= g(x)/h(x)...f'(x)= h(x)g'(x)-g(x)h'(x)/h(x)^2
Trick: hi=g(x) (top function)
ho=h(x)(bottom function)
d= derivative
so you say...ho d hi - hi d ho / ho ho's
its easy to remember cuz its like a rhyme. and hi sounds like high and ho sounds like low. so high function and low function. ho ho's is ho^2 and we all like ho ho's. ok well hope this little rhyme helps.
Instead of having to remember the quotient rule which can be confusing, just convert any situation where you would have to use this rule into a situation where you can use the product rule (for derivatives).
F(x)=5x/(x^2+1)
Can be seen as...
F(x)=5x * (x^2+1)^(-1)
And from here, the much less convoluted product rule can be used (first term times derivative of the second plus second term times the derivative of the first).
that's actually probably more confusing with all the negative signs. You have to use product rule and chain rule here. its simpler to just use the quotient rule.
Point taken, but I feel it is easier to use one formula for all derivative problems. To each his own.
http://www.columbia.edu/itc/sipa/math/calc_rules_multivar.html
Here is an excellent explaination and examples of multivariate calculus. It also includes partials also. It is very helpful.
http://mathworld.wolfram.com/
This website (which I assume is run by the same people as those who do mathematica) is a good resource for math. With simple searches you can usually find articles, demonstrations, and/or information about the topics for which you are looking. It is like wikipedia, but specifically for math, and goes into things a lot more. It is especially good with definitions and has links to other math topics, which may help you relate one topic to another. For example, a search of multivariate calculus may lead you into an article about partial derivatives. Give it a look if you are having trouble with some of the concepts in course.
http://www.calculus.org/
This website has examples and explanation of almost all calculus rules and equations. There is also sample exams provided by various universities along with the answers and explanations of problems. If I need help with a concept or understanding of an equation I refer to this website. Hope this helps.
I realized that its soo helpful if you print out the lecture slides and then take notes on the printed sheets of paper. It saves time and helps you understand better. Additionally, you could get a 3 ring binder and print the entire class lecture slides and put the sheets in the binder. This would allow more time for comprehension of concepts instead of spending time copying notes from the overhead.
INSTALL MATHEMATICA!!!
Also, if you have installed mathematica then do all the tutorials and "how to's", this really helps you understand modelling and follow the mathematica demonstrations the professor does in class.
If you are having trouble installing mathematica, heres wat you have to do:
1. buy the cd from OIT
2. call OIT and get the campus license number and instructions.
3. register mathematica and obtain a password so the software wont expire in 14 days.
http://demonstrations.wolfram.com/PartialDerivativesIn3D/
I also found this demonstration interesting...partial derivatives in 3d, click on the demonstration and do either web preview or download live version.
Seriously, get and install mathematica...it is awesome and has helped me alot and its a great skill to put on your resume, especially if your planning to go into a field of quantitative analysis..i.e. finance, wealth management, etc.
P.S. you can get it from the terrapin technology store too.
There are two websites that other videos on
Mathematics lectures on subjects cover in class:
First, video addresses single variable, Multi variable calculus, and differential equations:
http://academicearth.org/subjects/mathematics
Second another website with some other instructional math videos. Just search the subject
http://www.youtube.com/edu
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