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Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus in several variables: the functions which are differentiated and integrated involve several variables rather than one variable. Typical operationsLimits and continuityA study of limits and continuity in multiple dimensions yields many counter-intuitive and pathological results not demonstrated by single-variable functions. There exist, for example, scalar functions of two variables having points in their domain which, when approached along any arbitrary line, give a particular limit, yet give a different limit when approached along a parabola. The function approaches zero along any line through the origin. However, when the origin is approached along a parabola y = x, it has a limit of 0.5. Since taking different paths toward the same point yields different values for the limit, the limit does not exist. From Wikipedia under the
GNU Free Documentation License What is the Epsilon-Delta Proof for the Dot Product of a Vector? Q. Well, for my multivariate calculus math homework, I have to do the proof of this: lim x->a (u(x) v(x)) = lim x->a (u(x)) lim x->a (v(x)) I have to use the epsilon-delta way to prove it and have no clue where to start. Asked by jthereliable - Thu Oct 18 19:09:24 2007 - - 1 Answers - 0 Comments A. Use the Schwarz Lone Starr. Use the Schwarz. The Cauchy-schwarz inequality that is -- it states that the magnitude of the inner product of two vectors is less than or equal to the product of their magnitudes. With that inequality in hand, the rest of this is just analogous to the proof that ordinary multiplication is continuous. The proof follows: Let U = [x a]lim u(x) and V = [x a]lim v(x). Then we wish to show that: [x a]lim ( Answered by Pascal - Sun Oct 21 00:02:53 2007 What calculator do you think is the best for university level use performing basic to multivariate statistics? Q. I'm heading into my first university level statistics class for psychology and need to upgrade my calculator. We'll be performing standard t tests all the way up to advanced ANOVA. Plus, I'll be following this class up with Multivariate statistics which will include advanced regression testing. What calculator would you recommend? From personal experience... I don't want to have to learn how to program it just to perform statistical functions. And, I won't be doing any calculus, etc... Just statistics. I'm not sure the level of graphing we'll be performing... I've seen mention of the Ti83 and Ti84. Are they hard to use or are there other calcs to look at??? This calculator will be backing up all work we do with SPSS so it… [cont.] Asked by Life Explorer - Tue Jan 15 21:35:26 2008 - - 2 Answers - 0 Comments Will I get into harvard?
Q. I'm in the 11th Grade. I took BC Calculus as a sophomore, got an A in the class and a 5 on the AP Test. I have taken Multivariate Calculus and Linear Algebra at a university this past fall and am currently taking Discrete Math and Differential Equations. I will have a minor in Math next fall during my senior year. My other grades are pretty good and I take as many AP classes as I can. My GPA is around a 3.8. SAT's will probably be around a 2200. Do you think it's possible for me to get into an ivy league such as Harvard. For all of you out there hating on me for wanting to go to Harvard, it's not my only choice and I'm not a spoiled rich brat who got a private tutor for the SAT. Asked by Tom M - Sun Mar 9 20:41:52 2008 - - 6 Answers - 0 Comments A. Very possible! I for one am impressed by your ability Answered by Billy TK - Sun Mar 9 20:54:56 2008 From Yahoo Answer Search: "Multivariate calculus" |
