Reading+Log+2

** GREAT jOB ! ! [[image:christmas3.gif]] **** Reading log 2 **
** I. **** Pre-reading: ** **What do you think the text will be about?** **Do you know any branches of math? Mention some.** Algebra and geometry are proper names so do not use "the" ** **Write a list of 5 words (minimum) that you think will be in the reading.** ** Arithmetic **
 * I think than in this text will be about the classification of the mathematics. **
 * Yes, some they are the arithmetic, __the algebra and the geometry.__
 * Algebra **
 * Mathematics **
 * Field **
 * Classification **
 * Geometric **
 * Numbers **
 * Equation **
 * Division **

** II. Reading: ** **1. Read the text carefully and see how many words from your list are in the text. Mention them.** **2. Find 5 new math terms and define them** **in your own words.** ** __The__ analysis is a branch of mathematics which studies the real numbers, the complex numbers, the functions, and other areas. **
 * Arithmetic **
 * Algebra **
 * Mathematics **
 * Field **
 * Classification **
 * Geometric **
 * Equation **
 * Division **

** __The__ geometry is a branch of mathematics which studies the properties of the geometric figures. **

** T__he__ algebra is a branch of mathematics which studies the structures of the operations and the rules for manipulate them. The algebra represents of way general the possible solutions. ** ** __The__ probability is an area of mathematics which quantitatively determines the frequency and the possibility that a set of solutions can be obtained. **

** Optimization is a mathematic process which gives the better solution to a problem. ** 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 (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 (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 (problems that had been insoluble).** 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 (set).** f. Multiplication can be shown to be repeated addition, and introducing division,    ** __its inverse__ ** , produces rational numbers. ** **Its inverse (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 (models for predicting the weather).** **These equations (equations).**
 * 4. Design a mind map**    **showing the branches of math, defining and giving examples of each one of them.**

**6. Think about two branches of mathematics, now compare and contrat them in terms of what they study.** ** Algebra and geometry are some branches of mathematics. It is important to know than both have been very necessary for the development of the Science. **
 * 5. What branch of mathematics interests you the most**    **and why?**
 * The branch of mathematics which interests me is __the__ analysis, really an area of the analysis, this is the optimization. It interests me because I want to study computational mathematics, and after, I want to specialize in optimization. **
 * Algebra studies the structures of the operations and the rules for manipulate them while geometry studies the properties of the geometric figures. **
 * Now, algebra represents of way general the possible solutions due to that can be infinites. It uses symbols to represent its operations. In contrast, geometry uses representations graphic and itself algebra for to express the possible solutions. **