Reading+Log+2

Brach of Matematics

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

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

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] __**Notice:**__ You have to read the text starting on "the branches of mathematics" and read all about: 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. 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__. 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. 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. c. Astronomers built mechanical devices consisting of gears and fixed spheres __**that**__ described the orbits of celestial bodies with astonishing accuracy. 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. 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.” f. Multiplication can be shown to be repeated addition, and introducing division, __ **its inverse** __, produces rational numbers. 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.

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