Reading+Log+2

Is it you do not pay attention when writing or you do not re-read and therefore you do not see them????** I. Pre-reading: a. Read the title and answer: What do you think the text will be about? __i__ think __its goin__ to be about the __diferent__ branches in mathematics, and a short description of each of them.
 * Wow you've got tones of grammar mistakes... 3pts

Do you know any branches of math? Mention some yes, probability, optimization, math model, etc.

c. Write a list of 5 words (minimum) that you think will be in the reading. mathematics,branches,probability,aplications,calculus

II. Reading: 1. Read the text carefully and see how many words from your list are in the text. Mention them All 5 were in the text.

2. Find 5 new math terms and define them __in your own words__. -Combinatorial number: is the numbers of __diferent__ ways you can choose "k" objects from a set of "n" objects. -The stiling´s number of first degree: __its__ the number of __diferent__ partitions from a set of "n" objects. -__Probabilitie__ of the universe: __its__ the number of __diferents__ posibilities from a single event. -Graph theory : __its__ a branch of mathematics that s__tudy__ the properties of graphics problems. -Function: __its__ a relation between two sets of objects.

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. -symbols

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. -geometry.

c. Astronomers built mechanical devices consisting of gears and fixed spheres __**that**__ described the orbits of celestial bodies with astonishing accuracy. -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. - problems that had been insoluble by the methods of 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.” -Sets.

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

4. Design a mind map __showing the branches of math, defining and giving examples of each one of them__. Mathematics: > > > 5. What branch of mathematics interests you the most __and why__ ? > Probability is the branch that __i__ am __the__ most interested in at the moment, __i__ like it because in life we have to make decisions on the posibles result, having an instrument that tells me __how likely to happen one of those posibilities is__ will be __transforn__ into good decision making. > > > 6. Think about two branches of mathematics, now compare and contrat them in terms of what they study. > Algebra Studies the properties of __set__ and how __are sets compare__ in a matter of structure while geometry studies the properties of the shape of certain objects and how you can relate __diferent__ shapes from __diferent__ objetcs. You can see the big __diference__ since algebra __study__ structure of a set and geometry studies the shape of it.
 * Algebra and Number Theory : __studies__ the structure of sets and its properties.
 * Topology and Foundations: s__tudies t__he mathematical lenguage.
 * Geometric Analysis: studies the geometry of sets froma fuctional point of view.
 * Analysis: studies the calculus from a formal point of view.
 * Statistics and Probability: __studies__ how to count the diferent posibities from an especific event.
 * Computational Mathematics: studies how certain math problems can be solve using computers.
 * Applied Mathematics: studies those mathematics instruments that are use to solve real life problems.