Add Math Project Essay Example

Add Math Project Essay Example Add Math Project Essay Add Math Project Essay Experience classroom environments which are Hellenizing, interesting and meaningful land hence improve their thinking skills. Experience classroom environments where knowledge and skills are applied in meaningful ways in solving real-life problems. Experience classroom environments where expressing ones mathematical thinking, reasoning and communication are highly encouraged and expected. Experience classroom environments that stimulates and enhances effective learning. Acquire effective mathematical communication through oral and writing, and to use the language of mathematics to express mathematical ideas correctly and precisely. Enhance acquisition of mathematical knowledge ND skills through problem-solving in ways that increase interest and confidence. Prepare ourselves for the demand of our future undertakings and in workplace. Realize that mathematics is an important and powerful tool in solving real-life problems and hence develop positive attitude towards mathematics. Train ourselves not only to be independent learners but also to collaborate, to cooperate and to share knowledge in an engaging and healthy environment. Use technology especially the CIT appropriately and effectively. Train ourselves to appreciate the intrinsic values of mathematics and to come more creative and innovative. Realize the importance and the beauty of mathematics. Acknowledgements First of all, I would like to say Illuminable to Allah for giving me the strength and health to do this project work. Also, I would like to say thanks to my Additional Mathematics teacher, Pun Intra Ross Lezzy Bin Zinnia Abiding for helping me by giving the rubrics and guidelines for this folio. Not forgotten my parents for providing everything such as money to buy anything that are related to this project work and their advice which is the most needed for this project such as internet, books and computers. They also supported me an encouraged me to complete this task so that I will not procrastinate in doing it. To my beloved friends, thanks for all the ideas, advices and help that you shared with me. Finally, I would like to say thanks for those who involved in the making of this folio. May God bless all your kindness. Thank you. Calculus Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of revues), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these TV branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally considered to have been founded in the 17th century by Isaac Newton and Gottfried Leibniz, today calculus has widespread uses in science, engineering and economics and can solve many problems that algebra alone cannot. Calculus is a part of modern mathematics education. A course in calculus is a gateway to Other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called the calculus of infinitesimals, or infinitesimal calculus. The word calculus comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus. Part 1 INTERNET REFERENCE BOOK Leibniz was the first to see that the coefficients of a system of linear equations could be arranged into an array, now called a matrix which can be manipulated to find the of the system, if any.

The Biography of Edwin Hubble

The Biography of Edwin Hubble The astronomer Edwin P. Hubble made one of the most profound discoveries about our universe. He found the cosmos is much larger than the  Milky Way Galaxy. In addition, he discovered that the universe is expanding. This work now helps astronomers measure the universe. For his contributions, Hubble was honored by having his name attached to the orbiting Hubble Space Telescope.   Hubbles Early Life and Education Edwin Powell Hubble was born November 29, 1889, in the small town of Marshfield, Missouri. He moved with his family to Chicago when he was nine years old, and remained there to attend the University of Chicago, where he received a bachelor’s degree in mathematics, astronomy, and philosophy. He then left for Oxford University on a Rhodes Scholarship. Due to the dying wishes of his father, he put his career in the sciences on hold, and instead studied law, literature, and Spanish. Hubble returned to America in 1913 after the death of his father and began teaching high school Spanish, physics, and mathematics at New Albany High School in New Albany, Indiana. However, his interest in astronomy led him to enroll as a graduate student at the Yerkes Observatory in Wisconsin. His work there led him back to the University of Chicago, where he received his Ph.D. in 1917. His thesis was titled Photographic Investigations of Faint Nebulae. It  laid the foundation for the discoveries he later made that changed the face of astronomy. Reaching for the Stars and Galaxies Hubble next enlisted in the Army to serve his country in World War I. He quickly rose to the rank of major and was injured in combat before being discharged in 1919. He went immediately to Mount Wilson Observatory, still in uniform, and began his career as an astronomer. He had access to both the 60-inch and the newly completed 100-inch Hooker reflectors. Hubble effectively spent the remainder of his career there, where he also helped design the 200-inch Hale telescope. Measuring the Size of the Universe Hubble, like other astronomers, was used to seeing strangely shaped fuzzy spiral objects in astronomical images. They all debated what these things were. In the early 1920s, the commonly held wisdom was that they were simply a type of gas cloud called a nebula. These spiral nebulae were popular observation targets, and a lot of effort was spent trying to explain how they could form given the current knowledge of interstellar clouds. The idea that they were whole other galaxies was not even a consideration. At the time it was thought that the entire universe was encapsulated by the Milky Way Galaxy - the extent of which had been precisely measured by Hubble’s rival, Harlow Shapley. To get a better idea of the structure of these objects, Hubble used the 100-inch Hooker reflector to take extremely detailed measurements of several spiral nebulae. As he was observing, he identified several Cepheid variables in these galaxies, including one in the so-called Andromeda Nebula. Cepheids are variable stars whose distances can be precisely determined by measuring their  luminosity and their periods of variability. These variables were first charted and analyzed by astronomer Henrietta Swan Leavitt. She derived the period-luminosity relationship that Hubble used to discover that nebulae he saw could not lie within the Milky Way. This discovery initially met great resistance in the scientific community, including from Harlow Shapley. Ironically, Shapley used Hubble’s methodology to determine the size of the Milky Way. However, the paradigm shift from the Milky Way to other galaxies that Hubble was a tough one for scientists to accept. However, as time passed, the undeniable integrity of Hubble’s work won the day, leading to our current understanding of the universe. The Redshift Problem Hubbles work led him on to a new area of study: the redshift problem. It had plagued astronomers for years. Here is the gist of the problem: spectroscopic measurements of the light emitted from spiral nebulae  showed that it was shifted toward the red end of the electromagnetic spectrum. How could this be?   The explanation turned out to be simple: the galaxies are receding from us at high velocity. The shift of their light toward the red end of the spectrum happens because they are traveling away from us so fast. This shift is called the Doppler shift. Hubble and his colleague Milton Humason used that information to come up with a relationship now known as Hubble’s Law. It states that the farther away a galaxy is from us, the more quickly it is moving away. And, by implication, it also taught that the universe is expanding.   The Nobel Prize Edwin P. Hubble was honored for his work but unfortunately was never considered a candidate for the Nobel Prize. This was not due to a lack of scientific achievement. At the time, astronomy was not recognized as a physics discipline, therefore astronomers were not eligible. Hubble advocated to change this, and at one point even hired a publicity agent to lobby on his behalf. In 1953, the year Hubble died, astronomy was formally declared to be a branch of physics. That paved the way for astronomers to be considered for the prize. Had he not died, it was widely felt that Hubble would have been named that year’s recipient. Since the prize is not awarded posthumously, he did not receive it. Today, of course, astronomy stands on its own as a branch of science that also includes planetary science and space science. Hubble Space Telescope Hubble’s legacy lives on as astronomers continually determine the expansion rate of the universe, and explore distant galaxies. His name adorns the Hubble Space Telescope (HST), which regularly provides spectacular images from the deepest regions of the universe. Fast Facts about Edwin P. Hubble Born  November 29, 1889, Died: September 28, 1953.Married to Grace Burke.A well-known basketball player at the University of Chicago.Originally studied law, but studied astronomy in graduate school. Received Ph.D. in 1917.Measured the distance to the nearby Andromeda Galaxy using light from a variable star.Discovered that the universe is larger than the Milky Way Galaxy.Devised a system for classifying galaxies according to their appearance in images.  Honors: numerous awards for astronomy research, the asteroid 2068 Hubble and a crater on the Moon anmed for him, the Hubble Space Telescope named in his honor, U.S. Postal Service honored him with a stamp in 2008.   Edited by Carolyn Collins Petersen