Reading+Log+2

=**Reading log 2**=
 * Great Job ** 19/20

Read the following text and answer:


 * I. Pre-reading:**

a. Read the title and answer: "**//Branches of Mathematics//**" What do you think the text will be about? I think that the text is about different branches of the **(OMIT) **mathematics. This is about the characteristics that differ to each of the branches from the others.  **Good **

b. Do you know any branches of math? Mention some I know few branches of math, for example, algebra, analysis, geometry, arithmetic, optimization, probability, statistics. **Good **

c. Write a list of 5 words (minimum) that you think will be in the reading. Numerical Algebra Analysis Mathematics Study


 * Good **

Once you finish, please click on the following link and finish answering the rest of the questions in this page. http://encarta.msn.com/encyclopedia_761578291_2/Mathematics.html#s15 //__**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: Algebra, Analysis, Mathematics and Study. **Good **

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

**Differential Calculus** is a branch of Calculus that consist in the study of how functions change when their inputs change. The primary object of study in differential calculus is the **derivative**. **Good **   <span style="color: rgb(0, 0, 0);"> <span style="color: rgb(0, 0, 0);"> A **Prime Number**, in the Number Theory, is an integer p whose unique positive integers that divide it are 1 and p itself. **<span style="color: rgb(12, 160, 8);">Good ** <span style="color: rgb(0, 0, 0);"> 3. Read the following sentences extracted from the reading and explain what thereferents (underlined in the sentence) refer to. Be careful, in some items you can find more than one referent underlined: **<span style="color: rgb(12, 160, 8);">Good **
 * Integral Calculus** is a branch of Calculus that concerned with the determination of integrals and their use in solving differential equations. The primary object of study in integral calculus is the **integral**. **<span style="color: rgb(12, 160, 8);">Good **
 * Permutation** is the act of altering a given set of objects in a group. This one is a method of calculation used commonly to assign mathematical probabilities to some results. **<span style="color: rgb(12, 160, 8);">Good **
 * Statistics** is the organization and analysis of data for the purpose of simplification, comparison, and prediction. **<span style="color: rgb(12, 160, 8);">Good **

a. Because algebra uses symbols rather than numbers, <span style="color: rgb(242, 53, 24);">it can produce general rules that apply to all numbers. It refers to "uses symbols rather than numbers". **<span style="color: rgb(12, 160, 8);">Algebra **

b. <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';">Geometry was systematized by the ancient Greeks, especially Pythagoras and Euclid. It has been admired from ancient times onward for <span style="color: rgb(233, 12, 12);">its simplicity and elegance. Its simplicity refers to "Geometry". **<span style="color: rgb(12, 160, 8);">Good ** <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';"> c. Astronomers built mechanical devices consisting of gears and fixed spheres <span style="color: rgb(242, 24, 24);">that described the orbits of celestial bodies with astonishing accuracy. That refers to "Mechanical Devices". **<span style="color: rgb(12, 160, 8);">Good **

d. <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';">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. <span style="color: rgb(227, 13, 13);">These problems include the determination of Newton’s three laws of motion and the theory of electromagnetism. <span style="color: rgb(12, 160, 8);"> <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';"> These problems refers to "Many problems that had been insoluble". **<span style="color: rgb(12, 160, 8);">Good ** <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';"> 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<span style="color: rgb(239, 26, 26);"> it is possible to conceive of infinities of different “sizes.”

It refers to "sets containing an infinite number of objects" **<span style="color: rgb(12, 160, 8);">Good **

f. <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';">Multiplication can be shown to be repeated addition, and introducing division, <span style="color: rgb(217, 13, 13);">its inverse, produces rational numbers. Its inverse refers to "Multiplication". **<span style="color: rgb(12, 160, 8);">Good ** <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';"> g. <span style="font-size: 10pt; color: rgb(51, 51, 51); font-family: 'MS Reference Sans Serif';">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 <span style="color: rgb(234, 26, 26);">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 <span style="color: rgb(211, 13, 13);">these equations is very sensitive to changes in the initial conditions.

Such models refers to "Models for predicting the weather". **<span style="color: rgb(12, 160, 8);">Good **

These equations refers to "small number of equations". **<span style="color: rgb(12, 160, 8);">Good **

4. Design a mind map <span style="color: rgb(159, 84, 212);">__showing the branches of math, defining and giving examples of each one of them__.

5. What branch of mathematics interests you the most <span style="color: rgb(141, 51, 193);">__and why__ ?

The branch of mathematics which interest me is <span style="background-color: rgb(177, 253, 155);">the **<span style="color: rgb(12, 160, 8);">(OMIT) **Probability, because I draw attention the world of finance and global economic movement, and these issues are being evaluated using probabilistic models. **<span style="color: rgb(12, 160, 8);">Good **

6. Think about two branches of mathematics, now compare and contrat them in terms of what they study.

Algebra and arithmetic are similar in the study of elemental operations like the addition, including the analizing of its laws, in general, the rules that the algebra determine are use in arithmetic. **<span style="color: rgb(12, 160, 8);">Good **

However, the difference between them are the representation. In algebra uses symbols rather than numbers while in arithmetic only we can use numbers. **<span style="color: rgb(12, 160, 8);">Good **