Reading+Log+2

Reading log 2
 * Great Job ! ! **[[image:Santa_down_the_chimney.gif]]

Read the following text and answer:

I. Pre-reading: a. Read the title and answer: What do you think the text will be about?

I think the text explains the different branches of mathematics; define each branch and what are their characteristics.

Do you know any branches of math? Mention some

I believe that yes, the branches of mathematics are: -trigonometry -algebra -linear algebra -differential calculus

c. Write a list of 5 words (minimum) that you think will be in the reading.

Mathematics, branches, pure, geometry, algorithms, trigonometry, Statistics,

Once you finish, please click on the following link and finish answering the rest of the questions in this page. [|http://www.math.niu.edu/~rusin/known-math/index/tour_div.html] __**Notice:**__ You have to read the text starting on "the branches of mathematics" and read all about: A. Arithmetic, B. Algebra, C. Geometry, D. Trigonometry, E. Calculus, F. Probability and statistics, G. Set theory and logic, H. Number theory, I. System analysis, and J. Chaos theory.

II. Reading: 1. Read the text carefully and see how many words from your list are in the text. Mention them

all words.

2. Find 5 new math terms and define them __in your own words__.

Complex analysis: the complex analysis is the part of mathematics that studies the analytical functions.

Analytical functions: The analytical functions are functions that are differentiable and continuous at all points and also uses complex numbers.

abstract algebra: The abstract algebra is the part of mathematics that studies algebraic structures to see with more accurately the logical assertions in mathematics and natural sciences.

Real analysis: The real analysis is the part of mathematics that studies everything about the real numbers and its functions. Also is valid to say that studies part of the complex numbers, because the real numbers can be viewed as complex numbers of the form: x + i.0 where x € |R  Optimizacion: Optimization is the process of find the maximum or minimum point of the curve of a function.

text taken from: http://es.wikipedia.org/wiki/An%C3%A1lisis_real http://es.wikipedia.org/wiki/Optimizaci%C3%B3n http://es.wikipedia.org/wiki/An%C3%A1lisis_complejo http://es.wikipedia.org/wiki/%C3%81lgebra_abstracta

3. Read the following sentences extracted from a reading about Branches of Mathematics and explain what the referents (in ** red ** in the sentence) refer to. Be careful, in some items you can find more than one referent underlined:

 Referents: (green)

a. Because algebra uses symbols rather than numbers, __**it**__ can produce general rules that apply to all numbers.

it: Uses symbols rather than numbers.  b. Geometry was systematized by the ancient Greeks, especially Pythagoras and Euclid. It has been admired from ancient times onward for __**its simplicity**__ and elegance.

simplicity: Geometry.  c. Astronomers built mechanical devices consisting of gears and fixed spheres __**that**__ described the orbits of celestial bodies with astonishing accuracy.

that: Mechanical devices.  d. The development of calculus in the 17th century made possible the solution of many problems that had been insoluble by the methods of arithmetic, algebra, and geometry. __**These problems**__ include the determination of Newton’s three laws of motion and the theory of electromagnetism.

These problems: Many problems that had been insoluble by the methods of arithmetic, algebra, and geometry.  e. He extended the intuitive concept of a set to include the possibility of sets containing an infinite number of objects, and he showed that __**it**__ is possible to conceive of infinities of different “sizes.” it:  A set to include the possibility of sets containing an infinite number of objects.  f. Multiplication can be shown to be repeated addition, and introducing division, __ **its inverse** __, produces rational numbers.

its inverse: The inverse of multiplication.  g. Global climate modeling is an area of mathematical research that seeks to develop models for predicting the weather, given accurate data from weather satellites orbiting Earth. The problem in developing __**such models**__ arises not from lack of data but from the difficulty of modeling such a complex system (Earth’s atmosphere) with a small number of equations. In such models even a thousand equations may be considered small. The solution of **__these equations__** is very sensitive to changes in the initial conditions.

such models: <span style="color: #47c91d; font-family: 'Times New Roman',Times,serif; font-size: 120%;">Models for predicting the weather. <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">these equations: <span style="color: #47c91d; font-family: 'Times New Roman',Times,serif; font-size: 120%;">The equations to create models to predict the weather. <span style="font-family: 'Times New Roman',Times,serif; font-size: 144%;"> 4. Design a mind map __showing the branches of math, defining and giving examples of each one of them__. <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;"> <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;"> 5. What branch of mathematics interests you the most __and why__ ?

I am interested in geometry, because I like to study the figures, it is very interesting because it makes your imagination can grow. observe what happens to objects if you apply a transformation in a space or if you apply a homothetic transformation to see the increases or decreases of a figure in space.

<span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;"> 6. Think about two branches of mathematics, now compare and contrat them in terms of what they study. The trigonometry and the geometry are branches of mathematics. These two branches are used to study the properties of the planes. geometry can be studied in space because in the intervening planes that can form different dimensions, unlike trigonometry that is limited to plane because only envolving angles.