Advanced Math/Expert Profile


On Vacation
returns 10/24/2016

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.

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


B.S. , M.S. , Ph.D.

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Recent Answers from Socrates

2015-12-09 Compound Proportions:

It means neither one determines the other.  If you are told one , you can't figure out the other. For example , a person's height and age are independent variables. If I tell you that a man is 30 years

2015-12-08 Compound Proportions:

Days and students are independent variables . Neither directly nor inversely proportional.    Total dorm charges are directly proportional to the product of students and days.    18 is correct   

2015-11-22 polynomial functions:

(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7) =      x^7 - 28x^6 + 322x^5 - 1960x^4 + 6769x^3 - 13132x^2 + 13068x - 5040        so      n^7 - 28n^6 + 322n^5 - 1960n^4 + 6769n^3 - 13132n^2 + 13068n = 5040      for

2015-03-26 Logarithms:

10^a = 3    10^b = 2      (5^a)(2^a) = 3    (5^b)(2^b) = 2      5^b = 2^(1-b)    5^(b/(1-b)) = 2    (5^a)(5^(ab/(1-b))) = 3    5^(a/(1-b)) = 3      Multiply left sides and right sides of     5^(b/(1-b))

2015-03-05 % Definition:

Proportion , ratio and fraction all are the same thing.    a/b is a proportion    a/b = c/d  is an equation that shows that two proportions are the same .    4/12 = 2/6 = 1/3  are three proportions that


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