Socrates - Advanced Math - Mathematics - Science

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Expert Profile: Socrates

Expertise: I can answer any questions from the standard four semester Calulus sequence. Derivatives, partial derivatives, chain rule, single and multiple integrals, change of variable, sequences and series, vector integration (Green`s Theorem, Stokes, and Gauss) and applications. Pre-Calculus, Linear Algebra and Finite Math questions are also welcome.

Experience in the area
Ph.D. in Mathematics and many years teaching undergraduate courses at three state universities.

Education/Credentials
B.S. , M.S. , Ph.D.

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Average Ratings
Prestige Points: 3594
Knowledge	9.95 Best of the best
Clarity of Response	9.95 Best of the best
Timeliness	10.0 Best of the best
Politeness	10.0 Best of the best
Number Of Questions (in Past 24 Hours)		0
Max Questions to be Asked (in 24 Hour period)		1
Total Questions (since joining AllExperts)		142

Recent Reviews from Users

Knowl	Clarity	Time	Politeness	Date
10	10	10	10	09/22/08
10	10	10	10	05/21/08
10	10	10	10	01/24/08
10	10	10	10	01/23/08
10	10	10	10	05/16/07

User Comments

Thank you for answering the question
(Danusha on 09/22/08)

Thanks! I was wondering if there was a way to do part (a) using integrals
(vince on 05/21/08)

Thank you very much..
(smiles on 01/23/08)

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Recent Answers from Socrates

2008-08-21 exponential question: take the reciprocal of both sides and get 1/y = (1/a)(1+e^-((x-c)/b)) multiply both sides by a a/y = 1+e^-((x-c)/b) subtract 1 from both sides a/y - 1 = e^-((x-c)/b)) take the natural...

2008-06-21 nth Series formula: 4 = 2^2 16 = 4^2 = 2^4 256 = 16^2 = 2^8 Each term is the square of the one before. This means that when you write the terms as powers of 2 , you keep doubling the exponent.So the exponent is a power...

2008-05-21 average rate of change: a) 27.8 million gallons From t=0 to t=2 , the average rate of water use is (.5+.6)/2 =.55 million gallons per hour. For the two hours, this means approximately 2 x .55 = 1.1 million gallons will be...

2008-02-21 trigonometry: I will use "t" for the angle theta sec(t+10) = 1/cos(t+10) csc(2t+20) = 1/sin(2t+20) Use the double angle formula sin(2t+20) = 2sin(t+10)cos(t+10) so 1/cos(t+10) = 1/2sin(t+10)cos(t+10)...

2007-10-22 calculus: I think you wanted lim (1+1/x)^x , since the limit you have asked for is clearly 1 , without using L'Hospital's rule. To find lim(1+1/x)^x , we can find lim ln(1+1/x)^x first. This will be easier ,...