Analytic geometry

Integrals have been around for hundreds of years and have been used in several ways to solve complicated math problems. An integral is a function that expresses the area under the curve of a graph of a function. The first time the technique was brought forward was by a greek astronomer Eudoxus in the 370 BC. He used the technique called as the method of exhaustion which helped him find area or volume. The way he achieved this was using infinite numbers of division. Later Archimedes came along…

The history of Calculus can be traced back as early as the 5th Century B.C.E. in Ancient Greece. The first major discovery was made by a Greek scholar named Hippasus. Not much is known about this philosopher who studied under Pythagoras; but, he has sometimes been credited with the discovery of irrational numbers. \begin{center} \includegraphics[width = 6 cm]{triangle.png} \end{center} He described his reasoning as: \begin{enumerate} \item Start with an isosceles right triangle with side…

Math has many significant aspects. However, it wasn’t until I was assigned this assignment, that I fully understood the wide variety mathematics encompasses. Math has a specific part called Geometry, it is this section that I am going to mainly focus on. Geometry consists of shapes. These many shapes can then be put together to form patterns. They are the Golden Ratio, Fractals, Spiral Growth, and Voronoi Patterns. The Golden Ratio consists of ratios which the two larger sums are equivalent to…

Students need to understand and be able to construct geometric figures using a compass and straightedge. I chose argument A because students need to learn the usage of primary instruments before they enhance to the advanced exercises online, and in order to understand the information you must learn how to actually use it with your hands, if they are not capable to use a simple tool they wouldn't be able to use the complex ones. In math, a compass is a tool that’s used to measure line segments…

compared to what it should be in order to start finding a diagnosis. Lastly, doctors use math to calculate just how broken a patient might be. In “ How CAT scans work,” the author demonstrates how the doctor uses different forms of math such as geometry and trigonometry to find dimensions in x-rays. doctors use trigonometry especially to find just at what angle the X-ray needs to be captured in order to see what damage has been done. In conclusion, being a doctor includes tons of math.…

The History of Mathematics Almost from the beginning, math or rather counting has been part of human existence. Close to the time language was discovered, humans have be using there indexes to begin counting. Counting seasons, counting days, along with keeping track of passing time have all been a part of earlier human civilizations. Prehistoric artifacts dating back over 20,000 years have suggested that early humans made attempts to quantify time. Therefore, it is no accident, that the…

The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…

constructing the idea of geometry using their imagination and creativity. Anus is a boy who enjoys all kinds of hands-on activities. One…

Research shows that Hypatia of Alexandria was one of the first women to make substantial contribution to the development of mathematics. She lived in the great center of ancient learning; Alexandria, Egypt, in the 4th century A.D. While it t is assumed that she studied mathematics under her father, Thon of Alexandria; it is known that she was the head of the Platonist school in Alexandria around 400 A.D. Hypatia contributed in many ways to math; it is said that she edited the work on “The Conics…

The history of mathematics in the near consisted of three distinct divisions of time. The mid-third millennium is when there became evidence for knowledge of symmetry and geometry. Then continuing on into the later third millennium the establishment of accounting for time and labor became prevalent as well as the use of the sexagesimal place value system. The first systematic accounting techniques were developed in the southern Iraq city of Uruk as a result of a growth in the size of the city by…