Reading+Log+2


 * Some things missing 3pts**

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 this text will be about the diferents ways of how the mathematics are divided.

Do you know any division of math? Mention some Yeah, Geometry and Algebra

c. Write a list of 5 words (minimum) that you think will be in the reading. Algebra, Geometry, Number, Solution, Calculus.

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 divisions 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 Algebra, Geometry, Number, Calculus 2. Find 5 new math terms and define them __in your own words__. Geometry: Branch of the math's that works with figures, lines, points, shapes in many dimentions. Calculus: Way of define or find any solution of a problem. Algebra: Branch of math's that use arithmetics operations and numbers as letters to solve a problem. Analysis: Branch of the math's that study the continuities and limits of the numbers. Foundations:It is the logical and theory in witch mathematicals are based.

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. ** What happened here??? ** 4. Design a mind map __showing the divisions of math, defining and giving examples of each one of them__. 5. What divisions of mathematics interests you the most __and why__ ? The Geometry becouse it works with many obje ** C **ts and different__s__ shapes in the real life. 6. Think about two divisions of mathematics, now compare and contrat them in terms of what they study. Algebra and Geometry Comparisons: The Algebra as the Geometry __does use__ arithmetics ecuations to solve their problems Contrats: The Geometry works specifict with figures, lines, points and shapes but the Algebra works with symmetry, patterns, discrete sets, etc.