Reading+Log+2

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Reading log 2
Read the following text and answer:

__**I. Pre-reading:**__


 * a.** Read the title and answer:
 * What do you think the text will be about?


 * R:** I think the text will explain some importants branches of math, their function in the humanity and their utilization for understand the world in which we live and improve our lives.


 * Do you know any branches of math? Mention some


 * R:** Yes, of course, algebra, statistics, arithmetic, calculus, geometry, etc.

c. Write a list of 5 words (minimum) that you think will be in the reading. algebra, statistics, arithmetic, calculus, geometry, trigonometry, exact science, etc

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
 * R:** algebra, statistics, arithmetic, calculus and geometry


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

a) Axiom: an axiom is a mathematical reality that doesn't need be argued, it's evident, from it are build a lot of theories and all the mathematical knowledge. b) Geometry: is the branche of math that is carried about the study of shapes, the relations among them and their aplications c)  Simmetry: is the property of some mathematical geometric shapes or objects, in which an operation is applied to them, that object does not alter in form or position d) Vector:  is set of line segments that are equivalent to a given line segment. e)  Integration: is the inverse of differentiation, in which one can obtain a function that when is derived is equal to the original function.  **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:

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

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. "its simplicity" refers to Geometry

c. Astronomers built mechanical devices consisting of gears and fixed spheres __**that**__ described the orbits of celestial bodies with astonishing accuracy. "that" refers to 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" refers to the 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" refers to the posibility of conceive infinities of different sizes

f. Multiplication can be shown to be repeated addition, and introducing division, __ **its inverse** __, produces rational numbers. "its inverse" refers to 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" refers to the models for predicting the weather "these equations" refers to the equations of the model that try ti predict the weather.

4. Design a mind map __showing the branches of math, defining and giving examples of each one of them__.



5. What branch of mathematics interests you the most __and why__ ? Computational and Information sciences, I am very interested in this branch of mathematics because I like everything that is programming, to interact with technology in different ways, give orders and to communicate with the machines to make life easier and more comfortable is definitely a very interesting field that is in constant growth and development. 6. Think about two branches of mathematics, now compare and contrat them in terms of what they study. Statistics and probability and computational mathematics, both of then  need a lot of mathematical processes to reach conclusions, in the case of statistics and probability, as more information is founded more the sureness of their results, on the other hand, computational mathematics applied mathematics in the search for innovation at the level of computing and software, so it's doesn't need to have a lot of external information but depends more that in the recognition of internal errors.