Vector Functions We first saw vector functions back when we were looking at the Equation of Lines. In that section we talked about them because we wrote down the equation of a line in in terms of a vector function (sometimes called a vector-valued function). In this section we want to look a little closer at them and we also want to look at some vector functions in other than lines. A vector function is a function that takes one or more variables and returns a vector. A vector functions of a single variable in and have the form, respectively, where are called the component functions. The main idea that we want to discuss in this section is that of graphing and identifying the graph given by a vector function. Let’s now move into looking at the graph of vector functions. , is a vector that starts at the origin and ends at the point Because it is a little easier to visualize things we’ll start off by looking at graphs of vector functions in Both of the vector functions in the above example were in the form, . . .
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A map of the Tricki | Tricki This is an attempt to give a quick guide to the top few levels of the Tricki. It may cease to be feasible when the Tricki gets bigger, but we might perhaps be able to automate additions to it. Clicking on arrows just to the right of the name of an article reveals its subarticles. If you want to hide the subarticles again, then you should click to the right of them rather than clicking on the name of one of the subarticles themselves, since otherwise you will follow a link to that subarticle. What kind of problem am I trying to solve? General problem-solving tips Front pages for different areas of mathematics How to use mathematical concepts and statements
CEPREUNI Paul's Online Math Notes Before we get into surface integrals we first need to talk about how to parameterize a surface. When we parameterized a curve we took values of t from some interval and plugged them into and the resulting set of vectors will be the position vectors for the points on the curve. With surfaces we’ll do something similar. , out of some two-dimensional space D and plug them into and the resulting set of vectors will be the position vectors for the points on the surface S that we are trying to parameterize. We will sometimes need to write the parametric equations for a surface. We are much more likely to need to be able to write down the parametric equations of a surface than identify the surface from the parametric representation so let’s take a look at some examples of this. In the first part of this example we used the fact that the function was in the form to quickly write down a parametric representation. Let’s take a look at finding the tangent plane to the parametric surface S given by,
MATHEMATICORUM Y YO Jump to navigation Artículos con la etiqueta problemasdefisica Un video para todos los que gustan de olimpiadas julio 29, 2012 Un video donde aparecen los actores principales de las olimpiadas científicas del Perú,olimpicos, entrenadores,páginas web y blogs. El video es desarrollado por Erico Palacios Loayza Entrenando para el EXAMEN FINAL DE OLIMPIADA PERUANA DE FISICA junio 07, 2012 Saludos, preparándonos para el examen final de la olimpiada peruana de física, estoy colgando algunos problemas interesantes en mi cuenta del FACEBOOk, pueden revisarlos desde aquí: Proxima reunión del Programa para olimpiadas de física abril 22, 2012 Ayer se realizó en la PUCP la 5ta reunión con miras a la ONF, el sábado 5 de Mayo realizaremos un repaso general de todos los temas que se tomarán en la primer examen clasificatorio del 19 de Mayo, espero puedan asistir alumnos de diversos colegios de Lima y provincias, los temas que se tratarán son: la reunión será de 3 a 7pm, en el AUDITORIO DE FÍSICA DE LA PUCP
MATHEMA: Matemáticas Algebra Pre Edumate Perú Paul Erdős Paul Erdős (Hungarian: Erdős Pál [ˈɛrdøːʃ paːl]; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. Erdős worked with hundreds of collaborators, pursuing problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory. He was also known for his eccentric personality.[2][3] Early life, education, life, and death[edit] Paul Erdős was born to Jewish parents in Budapest, Hungary, on March 26, 1913.[4] He was the only surviving child of Anna and Lajos Erdős (formerly Engländer);[5] his siblings died before he was born, aged 3 and 5. Erdős later published several articles in it about problems in elementary plane geometry. In 1934, at the age of 21, he was awarded a doctorate in mathematics.[8] On September 20, 1996, at the age of 83, he had a heart attack and died while attending a conference in Warsaw. Erdős's name contains the Hungarian letter "ő" ("o" with double acute accent). Personality[edit] Career[edit]
Completar cuadrados "Completar el cuadrado" es cuando... Pero si tienes tiempo, deja que te explique cómo llegar allá. La pista Primero tengo que enseñarte lo que pasa cuando desarrollas (x+d)2 (x+d)2 = (x+d)(x+d) = x(x+d) + d(x+d) = x2 + 2dx + d2 El caso más simple El completo Ahora vamos al caso completo: Ejemplo Vamos a probar con un ejemplo de verdad: ¿Para qué "completar el cuadrado"? ¿Para qué querrías completar el cuadrado cuando basta usar la fórmula cuadrática para resolver una eciación cuadrática? Bueno, la respuesta está arriba en parte, donde la forma nueva te da el vértice, y también hace la ecuación fácil de resolver. Es el primer paso en la derivación de la fórmula cuadrática A veces la forma "ax2 + bx + c" puede ser parte de un problema más grande y escribirla como "a(x+d)2 + e" hace más fácil llegar a la solución, porque la "x" sólo aparece una vez. Por ejemplo es difícil integrar 1/(3x2 - 4x - 6) pero 1/(3(x - 4/6)2 - 22/3) es más fácil. Es sólo otra herramienta en tu caja de herramientas matemáticas.