Pure mathematics

As the arrangement of 38 timber columns in Wisdom Path forms a figure “8” pattern which means infinity makes the secret spot looking extraordinary, we would like to develop this concept into our design by forming the shape of art installation to look like a circle instead of the “8” pattern. It will be too direct if we use the figure “8” pattern in our design as it will be like an imitating artwork of the wisdom path therefore we came up with an idea which is to form a circle shape for the art…

5. Hopf-Andronov-Poincare bifurcation In this section, we shall show that the system (2) undergoes a Hopf-Andronov-Poincare bifurcation by using as a bifurcation real parameter. Without loss of generality, suppose that is a function of and . Then system (2) becomes (29) with . System (29) can be written as (30) where , and is the bifurcation real parameter. The function is a on an open set in . Let be the set of equilibria of system…

The Accomplishments of Jean Jacques Rousseau Jean Jacques Rousseau was one of the few people who could be considered as a jack of all trades. He was a philosopher, author, and composer, and he also dabbled in botany and mathematics. He produced many wonderful works in his lifetime and had made several important contributions to music, literature, and political philosophy. His professional success belied the difficult childhood that he had. His mother died a few days after he was born, and his…

“The golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.” (Elaine J. Hom )After the 21st century, golden ratio represents as a phi in Greek alphabet. The equation for golden ratio is a/b = (a+b)/a = 1.6180339887498948420 …,but if we round it two places, it will be 1.62.the golden ratio is also called the golden mean, golden section, golden number and so on. The…

Introduction Mathematics is a necessary aspect of my life. In my home, work, school and even social environments, numbers surround me. Over many years, I have learned how to derive meaning from them or use them to help me figure things out. During this unit, I have learnt, re-learnt and applied various areas of mathematics to help me achieve the outcomes and find solutions to each ‘Thinking Time Problem’ [TTP] presented. These relate to the Australian Curriculum- Mathematics proficiency strands…

Content of Interview In this interview I focused on asking the students questions that assess different types of mathematical approaches. For instance, I asked questions pertaining mental math, adding, subtracting, putting numbers in order from least to greatest, and word problems. I wanted to address the different aspects of math in order to have a better understanding of what type of level is the student performing in. Throughout the interview, I saw that the students used his strategies to…

Experience with the types of mathematics that precede Calculus II will allow me to not struggle overly with new material such as partial fractions. Calculus II builds on the derivatives and integrals of Calculus I and the knowledge of how to simplify complex functions from Algebra. An…

gains/seeks shared knowledge. So to what extent does the knower’s reliability shape the pursuit for shared knowledge? Religion is typically a devotion thing creating emotion. Natural Science however was based off of scientists reasons causing a bias. And Mathematics which is based off of facts and being named an universal language. In the religion of Islam for example, Muslims are to live off the the moral principles of the five pillars, the Quran,…

Statement of Purpose Mathematics and geometry have always been my passion since my childhood. I had easily learned the numbers and basic calculations before I started primary school. I have consistently passed my mathematics classes successfully through my eagerness of the mathematics. Since I was a successful student at the other classes as well, I got opportunity to go to one of the most prestigious high schools which was far from my town. In addition, I was the first person who went to this…

In the book “The Last Lecture”, chapter fifty three, Randy Pausch explains and tells a story to give an example of him getting over a brick wall and never giving up. Randy wanted to teach the reader to never give up and to get over that brick wall in front of them. This part in his life taught him that once you get over that wall, you should share your experience with others and possibly inspire them. A quote from the chapter that stood out to me was “the moral is: If you want something bad…