Reading+Log+2

**please revise the comments I made !!****4pts** Reading log 2

I. Pre-reading: a. Read the title and answer: What do you think the text will be about?

I think it will be about the __diferent__ subdivisions of the study area of mathematics

Do you know any branches of math? Mention some

Yes, algebra , geometry , calculus , arithmetics, etc

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

algebra, geometry, calculus, arithmetics , areas

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

algebra, geometry, calculus, arithmetics , areas

2. Find 5 new math terms and define them __in your own words__.

topology: It is the branch of mathematics that studies the properties of geometric__s__**AL** bodies that remain unchanged for transformations.

analysis: It is a branch of mathematics that studies real and complex numbers, functions and vectors.

geometric analysis : It is the branch of analsis that studies differential geometry and differential equations

real analysis : It is a branch of analysis that studies real numbers, real functions and sequences

complex analysis: It is the branch of analysis that studies complex numbers.

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 that algebra uses symbols rather than numbers

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.

It is refering to the geometry

c. Astronomers built mechanical devices consisting of gears and fixed spheres __**that**__ described the orbits of celestial bodies with astonishing accuracy.

It is refering to the gears and fixed spheres

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.

It is refering to the determination of Newton´s three laws of motion and the theory of electromagnetism

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 is refering to the possible of conceive of infinites of different "sizes"

f. Multiplication can be shown to be repeated addition, and introducing division, __ **its inverse** __, produces rational numbers.

It is refering to the inverse of 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.

The firsts words are refering to the models for __predecting__ the weather And the las two words are refering to the equations for modeling a complex system

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 that interest me the most __it__ is __the__ trigonometry because it deals with figures and planes also the way of dealing __wit__ equations and problems for me __it__ is __more simple__ **simpler**

6. Think about two branches of mathematics, now compare and contrat them in terms of what they study.

Algebra and Analysis

Comparation**Comparison**

Algebra and analysis are both branch**E** s of mathematics that __studies__ **STUDY** equations trying to get to the solution of problems

Contrast:

While algebra __it__ is the study of operations, terms , polynoms and algebraic structures , analysis __it__ is more concerned about study __ral__ and complex numbers , functions and vectors.