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?  Do you know any branches of math? Mention some Yes, I do. I know some branches of math. These are calculus, geometry and algebra. c. Write a list of 5 words (minimum) that you think will be in the reading. · Method · Calculus · Algebra · Arithmethic · Trigonometry ·<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Numbers
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">I think that this text will explain the classification of __the__ mathematics. ****<span style="color: #14b000; font-family: 'Arial','sans-serif'; font-size: 13.5pt;">remember mathematics is a proper name, so you do not say "__the__ mathematics" only "mathematics" **

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Once you finish, please click on the following link and finish answering the rest of the questions in this page. <span style="color: blue; font-family: 'Arial','sans-serif'; font-size: 12pt;">[|http://www.math.niu.edu/~rusin/known-math/index/tour_div.html] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> 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. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> 1. Read the text carefully and see how many words from your list are in the text. Mention them ·<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Method ·<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Calculus ·<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Algebra ·<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Trigonometry
 * __ Notice: __** You have to read the text starting on "the branches of mathematics" and read all about:
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">II. Reading: **

2. Find 5 new math terms and define them __ in your own words __.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Analysis **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> is a branch of mathematics which studies in way very it specifies every about the real numbers, the complex numbers, the limits, the derived, the integral, the convergences or divergences of the functions and so on.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Geometry **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> is a branch of mathematics which studies the properties and characteristic of the geometric figures in the plan and in the space.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Algebra **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> is a branch of mathematics which studies the rules for manipulating arithmetic operations; that is, we can operate equations or numbers starting from these rules of the algebra.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Foundation **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> is a branch of mathematics which studies the logic and the theory of sets. The foundation is related with the algebra.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Statistic **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> is a branch of mathematics which studies the gathering, analysis and interpretation of data, this science look explain regular conditions of some phenomena.

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">3. Read the following sentences extracted from a reading about Branches of Mathematics and explain what the referents (in <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="color: #ef1a1a; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">red <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">in the sentence) refer to. Be careful, in some items you can find more than one referent underlined: <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

a. Because algebra uses symbols rather than numbers,   __<span style="color: #f23518; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">it __ <span style="color: #f23518; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">can produce general rules that apply to all numbers. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">It (algebra). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

b. Geometry was systematized by the ancient Greeks, especially Pythagoras and Euclid. It has been admired from ancient times onward for   __<span style="color: #e90c0c; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">its simplicity __ <span style="color: #e90c0c; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">and elegance. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Its simplicity (geometry). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

c. Astronomers built mechanical devices consisting of gears and fixed spheres   __<span style="color: #f21818; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">that __ <span style="color: #f21818; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">described the orbits of celestial bodies with astonishing accuracy. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">That (mechanical devices). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

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. __<span style="color: #e30d0d; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">These problems __<span style="color: #e30d0d; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">include the determination of Newton’s three laws of motion and the theory of electromagnetism. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">These problems (many problems that had been insoluble). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

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: #ef1a1a; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">it __ <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">is possible to conceive of infinities of different “sizes.”  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">It (set). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

f. Multiplication can be shown to be repeated addition, and introducing division,    __<span style="color: #d90d0d; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">its inverse __ <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">, produces rational numbers. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Its inverse (multiplication). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">

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   __<span style="color: #ea1a1a; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">such models __ <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">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: black; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  __<span style="color: #d30d0d; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">these equations __ <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">  <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">is very sensitive to changes in the initial conditions. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">Such models (models for predicting the weather). **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">These equations (equations). **


 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">4. Design a mind map showing the branches of math, defining and giving examples of each one of them. **

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> 5. What branch of mathematics interests you the most and why?

The branch of mathematics which interests me is the algebra, with this we can see the origin of many of the propositions that we have predetermined in the mathematical and this way to relate their applications with our daily life.

6. Think about two branches of mathematics, now compare and contrast them in terms of what they study. ** <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> Geometry and algebra are both branches of mathematics, the first studies the properties and characteristic of the geometric figures in the plan and in the space while the algebra is a branch of mathematics which studies the rules for manipulating arithmetic operations.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">
 * <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">The geometry is related with the geometric figure while the algebra is related with the numbers; these can be real or complex. **