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? The text will be about the branches of mathematics, uses , applications .... Do you know any branches of math? Mention some The calculus, algebra, probability, analysis , computation .... c. Write a list of 5 words (minimum) that you think will be in the reading. -Science -branches of mathematics -Basics Operations -Technology -Mathematicians -Greeks -abacus -numbers -calculus -planes -spaces Once you finish, please click on the following link and finish answering the rest of the questions in this page. [] ===

 __**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 The words that are in my list : -science, branches of maths, mathematicians, Greeks, numbers, calculus, planes , spaces

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

- The geometry is a branch of mathematics which studies the properties of the geometric figures - Astronomy : Science taht study the planets using Geometry tools's !! - Computational sciences : are the sciences that study the algorithms, using sciences as Symbolic Logic ... - Cryptography is the ability to communicate through secret codes and ciphers use secret key to transform a text for it to be read by a single recipient. - The analysis is a branch of mathematics which studies the real numbers, the complex numbers, the functions, and other areas.

3. Read the following sentences extracted from the reading and explain what the referents (underlined 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. The 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 gears and fixed spheres

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 ploblems refers to the problems that hadn't be known in 17th century by 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 possibility of sets containing and infinite number of objects

f. Multiplication can be shown to be repeated addition, and introducing division, __ **its inverse** __, produces rational numbers. its inverse refers to the 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 models for predicting the weather.

These equations refers to equations used to model the Earth´s atmosphere.

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__ ?

The branch of Mathematics that is more interesting for me is the chaos theory, because attracts my attention as processes can vary suddenly it rhythm and produce disorder, chaos , in the same way , I love the calculus, because it has been contributed with other sciences , as the physics for example.

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

The trigonometry is the branch of mathematics that study the relations between the sides of a right triangle, but, the geometry study the geometrics figures in general. The trigonometry is a branch of geometry that specializes in the triangle