Reading+Log+2


 * WOW ! ! [[image:santa_2.jpg]]** **Reading Log 2**
 * I. ****Pre-reading:**


 * a. Read the title and answer:**

**What do you think the text will be about?**


 * A:** I think that the text will be about the branches of mathematics, how many branches it has, and their functions.

**Do you know any branches of math? Mention some**


 * A:** I know four branches of mathematics: Calculus, Algebra, Analysis and Computational Mathematics.


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

A: Branches, Algebra, Apply, Computational.
 * A:** Branches, Calculus, Algebra, Numbers, Theorem, Study, Apply, Computational.
 * 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 __**** . **


 * Foundation (Mathematic):** It is the branch of mathematics that uses the logic and argumentation theory to study reasoning using the numbers and some of algebra.


 * Algebra:** it   is the branch of mathematics through rules of   operations it study   the things which can be constructed from them, including   terms  ,   equations, etc.


 * Geometry:** it is the branch of mathematics dedicated to study questions of size, shape, position of figures and those properties in the space


 * Analysis:** It is the branch of mathematics that studies the basic concepts like functions, real numbers, and the non-basic concepts like infinity or vectors.


 * Statistics: ** It is a science that uses mathematic resources to study numeric data related to groups or individual things.

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 “Many Problems” 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 “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 “Division” 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 “ thousand equations may be considered small”
 * 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 where I have the most interest is the Foundation in Logic, because, using numbers we can defined logical systems that can be used to design computers or intelligent programs that it can be close to the human thinking. **6. **** Think about two branches of mathematics, now compare and contrast them in terms of what they study. **

The foundation in Logic uses numbers to design, with Logic and numeric Theory, Logical processes based in algebraic operations. Also, it can be used to design geometry programs to models structures in 3d, through the logical calculus.

On The other hand, we have the Geometry. It is the branch of mathematics that uses de algebra and calculus to defined geometry structure like triangles, squares, polygons, etc. We can appreciated that both branches uses the algebra and the calculus to make their arguments, but the difference is the field where it can be applied.