Reading+Log+2

Good job 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?

I think that the text will speak about the addition of the numbers.

Do you know any branches of math? Mention some

Yes, I know any branches as: Algebra Statistics Probabilities Analysis Geometry Arithmetic Calculus

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

Arithmetic Addition Numbers Operations Subtraction Properties Mathematics

Once you finish, please click on the following link and finish answering the rest of the questions in this page. [|http://www.math.niu.edu/~rusin/known-math/index/tour_div.html] 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.
 * __Notice: __** You have to read the text starting on "the branches of mathematics" and read all about:

II. Reading:

1. Read the text carefully and see how many words from your list are in the text. Mention them

Mathematics Arithmetic Operations Properties Numbres

2. Find 5 new math terms and define them __ in your own words __.

__Statistics:__ is the science dealing of the collection, classification and presentation of the facts subject to a numerical assessment based on the explanation, description and comparison of the phenomena.

__Combinatorics:__ is a branch of mathematics that studies finite collections of objects that satisfy specified criteria, and deals, in particular the count of objects from these collections and the question of whether some object optimum exists.

__Topology:__ is the branch of mathematics that studies the properties of geometric shapes or spaces that are not affected by continuous transformations.

 __Arithmetic:__ is the branch of mathematics that studies certain operations with numbers and their basic properties.

__Algebra:__ is the branch of mathematics that uses numbers, letters and signs to generalize the various arithmetic operations.

 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 __** refer to uses symbols more than numbers)

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: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">its simplicity __**<span style="color: #e90c0c; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> <span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">and elegance. ( **__<span style="color: red; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">its simplicity __**<span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> refer to geometry)

<span style="font-family: 'Arial','sans-serif'; font-size: 10pt; line-height: 115%;">c. Astronomers built mechanical devices consisting of gears and fixed spheres **__<span style="color: #f21818; font-family: 'Arial','sans-serif';">that __** described the orbits of celestial bodies with astonishing accuracy. (**__ that __**refer to mechanical devices)

d. <span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">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: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">These problems __**<span style="color: #e30d0d; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> <span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">include the determination of Newton’s three laws of motion and the theory of electromagnetism. ( **__<span style="color: red; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">These problems __**<span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> refer to many problems that had been insoluble)

<span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; 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="font-family: 'Arial','sans-serif';">it __** is possible to conceive of infinities of different “sizes.” (**__ it __** refer to sets containing an infinite number of objects)

f. <span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">Multiplication can be shown to be repeated addition, and introducing division, **__<span style="color: #d90d0d; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">its inverse __**<span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">, produces rational numbers. ( **__<span style="color: red; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">its inverse __**<span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;"> refer to multiplication) <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; line-height: 115%;">g. <span style="color: #333333; font-family: 'MS Reference Sans Serif','sans-serif'; font-size: 10pt; line-height: 115%;">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. <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; line-height: 115%;"> The problem in developing **__<span style="color: #ea1a1a; font-family: 'Arial','sans-serif';">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: #d30d0d; font-family: 'Arial','sans-serif';">these equations __** is very sensitive to changes in the initial conditions. (**__ such models __** refer to models for predicting the weather) and (**__ these equations __** refer to thousand equations may be considered small)

<span style="color: black; font-family: 'Arial','sans-serif'; font-size: 9pt; line-height: 115%;"> <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; line-height: 115%;">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 __?

<span style="font-family: 'Arial','sans-serif';">The branch of mathematics that I like most is the probability because I'm always thinking what if something happens, I always think about the assumptions on any issue of real life.

<span style="font-family: 'Arial','sans-serif'; font-size: 10pt; line-height: 115%;"> 6. Think about two branches of mathematics, now compare and contrat them in terms of what they study

<span style="color: black; font-family: 'Arial','sans-serif';">Algebra is the branch of mathematics, in which letters are used to represent arithmetic relations. As in arithmetic, fundamental operations of algebra are addition, subtraction, multiplication, division and calculation of roots. The arithmetic, however, is not able to generalize mathematical relationships. The arithmetic gives only a particular case. The algebra, however, can give a generalization that satisfies the conditions of a subject.