Differential equation

growth of the population under the logistic growth model with periodic harvesting. Parameter ω represents the wavelength of the sine function that determines periodic harvesting. The Logistic model with periodic harvesting translates to a differential equation which is non-autonomous having a period of T and depending explicitly on time. We can qualitatively analyse the model by finding the stability…

economics and helped me develop vital skills to be an economist. In AP Economics, I strengthened my analytical abilities by detailing a report with current data and indicators on the United Arab Emirates' future economic situation. Studying differential equations in BC Calculus and developing hypotheses and testing them through…

In mathematics, students learn from practicing over and over again when they acquire new information. For example, in my math class, when we are taught a new topic such as differential calculus, my teacher makes my class do practice problems in class so we understand the topic. By understanding how to differentiate equations, we know why it is valued so much. My teacher also makes sure to give us problems that deal with the “real world”, so to speak. While that is just in my math class,…

Poincaré employed, many of his creations have contributed central works in “almost all spheres of mathematics.” Some of the mathematical ideas Poincaré took so far as to publish dealt with, “topology, automorphic functions, theory of differential equations, integral equations, non-Euclidean geometry, and the relative theory, the theory of numbers, celestial mechanics, physics, and philosophy of mathematics and philosophy of science,” (Henri Poincare : Biography 3). His works were published in…

He helped developed differential and integrals calculus along with Newton. Leibniz was born on july 1st 1646. He was the one who discovered the coefficients of systems of linear equations. Leibniz also has a important formula for pi. The formula concludes that 1 - ⅓ +⅕ - 1/7 + = Pi/4. Leibniz was so smart and discovered many thing. He was known to be the…

this manifested as a love for Mathematics. Similar to math, internal medicine is also mysterious and complex at first but full of beautiful patterns once proficiency is obtained. I really enjoyed differential equations and treatment theories. Craze for analytical approach while making and tracing differentials drawn me to internal medicine. I am fascinated by the subject matter and the fact that I can positively impact the lives of a broad category of patients. During my internal medicine…

Rhind papyrus containing math related brainteasers for instance. “What is the size of the heap if the heap and one seventh of the heap amount to 19?” (HISTORY OF MATHEMATICS, n.d.). Originated from the Greeks, comes the Pythagorean Theorem. This equation is use to find the longest side of a right triangle A2 + B2 = C2 (hypotenuse). Also coming from the Pythagoras is the belief that a triangle, having three sides is equal to 180 degrees. Two of the well- known name in math is Euclid and…

The 480 is fiction, but the science-fictional seeming technology that drove the plot was very real in 1964. Four years earlier, Kennedy’s presidential campaign hired Simulmatics Corporation to estimate the political effect of various campaign tactics Kennedy could pursue. Though Simulmatics would later dip its feet in many fields, it was incorporated in 1959 with the sole purpose of modeling voting behavior, and its work with the Kennedy campaign was its first contract. Their computer…

the 14th century. The French mathematician René Descartes in 1632 first used the symbol a3, but John was the first to demonstrate the utility of the exponent, particularly by his negative and fractional exponents. He also focused on some algebra equations. One of his most complex ones is this e.g., a + b√−…

Piezoelectricity was discovered in1880 by Pierre and Jacques Curie, However the term piezoelectricity was coined by W.G. Henkel in 1881.G.Lippman discovered reverse process that is to say on application of electric field mechanical stresses could be developed in 1880 .Which was experimentally proven by curie brothers in 1881. Piezoelectric materials can be natural or synthetic. Natural occurring crystals include quartz, topaz, silk, wood etc. While as synthetic are quartz like, ceramic polymers…