My general areas of interest are numerical modeling and tropical meteorology. For example, numerical simulation models of tropical cyclones is the problem that interest me most in atmospheric science. Based on one or two problems in tropical meteorology or related fields, I hope to work based on the existing models, and make unique contributions. My ultimate goal is to develop skills to become a sophisticated researcher and teacher in the field, while pursuing a doctorate degree in atmospheric sciences.
My interest on PDEs dates back to high school. Since typhoons frequently struck my hometown, I developed interest in the forecast of tropical cyclones. Guided by a net-pal with a master’s degree in meteorology, I started to systematically study the basics of weather prediction. However, when reading Principles of Meteorological Analysis, I encountered PDEs describing dynamics of atmosphere, which was incomprehensible for me then. Realizing that a solid math foundation would be critical to further study in meteorology, I chose to study mathematics in University of California, Los Angeles (UCLA).
After finishing basic math courses, I challenged myself with a year-long series of honors algebra course, in which group theory, ring theory and Galois theory were covered. The homework sets and take-home exams in this course horned my skills of solving hard math problems. With limited clues for each problem, I had to review related definitions and theorems carefully, and
As storm relative velocity helps analyze the motion of the winds within the storm, information like the rotation of the storm and the speed of the winds can help investigate the chances of the storm developing into a tornado. If the storm appears to be a threat, nearby communities can be notified to take precautions and leave if necessary. Although base velocity can be used for the same reason, the speed of the storm can affect the results of the speed and rotation of winds. Therefore, storm relative velocity is more accurate and reliable than base velocity in determining the threat of a
For the past three years of my high school career, and now my fourth, I have made it an obligation to continually expand my horizons in regards to math; when I cannot fully grasp an idea or concept, rather than giving up, I relentlessly pursue the idea until it is understood. During freshman year, math did not come easily to me. I was forced to go in early some days because, simply, I did not comprehend the concepts. However, taking initiative with my school work, and constantly working through problems that were difficult can be deemed one of the best decisions I have made. Although my final grade may not have been an
Algebra is a major mathematical strand that has been incorporated across all year levels within the Victorian Curriculum. The many components within and interrelated with algebra and algebraic thinking sets children up, not only for formal algebra in high school, but for life (Reys, et al., 2012). This paper will be addressing some of the main ideas and understandings associated with Algebra. Key skills, strategies and ways of thinking will also be explored along with strategies for teaching the content effectively.
I believe Math is learned by doing the problems and doing the homework. The problems help you learn the formulas you need to know, to help with problem solving. I have learned from my own personal experience that you must keep up with the Instructor: attend class, read the text and do homework every day. Falling a day behind puts you at a disadvantage. Falling a week behind puts you in deep trouble.
My passion for mathematics was fixed at the age of ten, on the morning that my mathematics teacher told I would be sitting the Junior Maths Challenge, 'as practice for when you are older'. As I nervously started to answer the questions, a whole world began to open before me. I revelled in the problem solving, answering questions of a nature I had not seen before. My teachers were delighted when I emerged from the exam hungry for more. Since then I have consistently demonstrated my aptitude, achieving gold awards through to senior level, and scoring highly in the European Kangaroo.
making connections among mathematical concepts and procedures, and relating mathematical ideas to situations or phenomena in other contexts (e.g., real-life, imaginary, music)
The primary goal of this project was to examine the math bowl and try to improve upon it. After three years of being a member of the Montana tech math club I was given the opportunity to run it. So, with the resources available to the math club, I attempted to organize and promote another math bowl completions. Through running this event I hoped to gain insight on short coming that the math club faced. One of these was the lack of participation from the math club members.
1. Give you information on what to expect, and how this course is different from other math courses.
The article, “Punch Up Algebra with POWs,” by Mark Pinkerton and Kathryn Shafer begins by stressing the importance of problem solving abilities since it leads to understanding mathematical concepts. The authors stress that students need to be given the opportunity to “reason and make sense of mathematics.” The article examines co-author, Mark Pinkerton’s, yearlong experience that was designed to provide constant problem solving opportunities for his students. (Pinkerton & Shafer, 2013).
Geometry and Algebra are so crucial to the development of the world it is taught to every public high school in the United States, around 14.8 million teenagers each year (National Center for Education Statistics). Mathematics is the engine powering our world; our stocks, economy, technology, and science are all based off from math. Math is our universal and definite language “I was especially delighted with the mathematics, on account of the certitude and evidence of their reasonings.” (Rene Descartes, 1637).
Hungry for knowledge and new formulas, I desire to become a renowned mathematician. When I get home from school, bored and deprived of mathematical challenges, I explore the vast secrets of the internet. Likewise, I watch videos on cool shapes and patterns constantly affecting our everyday lives. Despite this, my uninteresting life brings me back to school where I sit still in desks for hours learning about super PAC’s and oxidation reduction reactions. As most high school attendees would say, almost every single class they take is useless for what they want to chase after in college and the business world. For over seventeen years, spread abroad, seven mathematical problems shake and stymie even the best of minds. Clay Mathematics called these
To start with, I enjoyed reading the paper, regarding your experience as a willing participant of the Liberty University. Also, your illustration of Harris, provides a powerful confirmation, concerning exercising the mind. On the other hand, I diligently examined your inspirations pertaining comprehending the theories of Algebra and not being able to clench the information. First, it is imperative to surrender your concerns of algebra to God, by talking to Him. Jesus desires, believers talking to Him because it pleases Him. Lastly, I have no doubt, you will do well in MATH-115 because the reading of your article tells me that you are an achiever and endurer.
So freshman algebra rolled around and I loved it. After two weeks in the class I was three and one half chapters ahead of the teacher. He would only assign the odd problems for homework, but I’d do them all. Geometry was even cooler. But thinking back, not one of the teachers even commended me for doing so well. My father noticed I was good at it, but I thought he had to tell me I was good; he was my father.
“Poems are written with the feelings and emotions, with the intuition and the instincts, that make each of us who we are” (Charters 669). Dana Gioia, the author of “Summer Storm 2000” expresses an emotional works to an event dated back 20 years ago. Gioia uses dictions such as, imagery, figures of speech, setting, tone, and ballad to help readers not only comprehend the poem but to help them envision and feel it as if they were the ones experiencing the story. Gioia uses these means as a way of expressing his feelings and thoughts while explain to readers the deeper meaning of what “Summer Storm” really entails.
One-way nested Limited-Area Models (LAMs) are used in numerical weather prediction and regional climate modelling to downscale coarse-resolution global/regional simulations or analyses that are provided as the time-evolving Lateral Boundary Conditions (LBC). The LAM integrations are sensitively dependent on infinitesimally small modifications. The so-called twin simulations, i.e., LAM integrations identical in all respect, except having slightly different initial conditions, may with time lead to substantially different solutions. This phenomenon has been referred to as internal variability (IV) in the existing literature [e.g., Giorgi and Bi, 2000; Christensen et al., 2001; Rinke et al., 2004; Lucas-Picher et al., 2008a; Crétat et al., 2011; Done et al., 2014].