Beautiful Mind

John Nash first arrives as a new graduate student at Princeton University. There he meets his roommate Charles, a literature student, who soon becomes his best friend. He also meets a group of other promising math and science graduate students. John sometimes goes out to a bar with his fellow students to try to meet women, but is always unsuccessful. However, the experience is what ultimately inspires his work in the concept of governing dynamics, a theory in mathematical economics. After the conclusion of John’s studies as a student at Princeton, he accepts a teaching offer at a prestigious institution, along with his friends Sol and Bender. It is while at this post that he meets Alicia, a student with…

Ecg Lab Report

Abstract The purpose of these lab exercises is to understand the function and importance of an electrocardiogram. This lab will demonstrate how stress levels or different elevations can affect human heart rate. Furthermore, the equipment used in the experiment will show the functions in the right and left arm; as well as, in the right and left ankles. Finally, the lab will serve a purpose as a way to know how to read an electrocardiogram and calculate the heart rate. Introduction An electrocardiogram can be used to record activity during the cardiac process of pumping and returning blood to the body and heart because of the electric current that spreads through the tissue of the heart and to the surface…

Leonardo the Renaissance Man

During the Renaissance, Leonardo da Vinci became a legend. He is noted as one of the greatest artists of his time as well as one of the greatest artists that ever lived. Throughout his life he accomplished many things and did them with astounding ability. Today people refer to someone who appears to have excelled in countless things as a “Renaissance Man”. Leonardo da Vinci is one of the best examples of this classification. Through always searching for more knowledge, he became well versed in many areas. Leonardo excelled in painting, scientific studies, mathematics, and countless other fields. Leonardo da Vinci is the best example of a true Renaissance Man. Although Leonardo was accomplished in many areas, his true talent…

Mathematics of the Greeks and the Mayans

Mathematics is the study of time, space, structure, and quantity which is used to calculate almost anything in the world from the amount of atoms in an element to calculating the air pressure in a room. Although levels of math such as calculus are not taught until college, the use and study of mathematics have been around since the beginning of time and the world wouldn’t be able to function without it. The term “mathematics” comes from the Greek word mathema which means study, knowledge, or learning. Along with philosophy and astronomy, the ancient Greeks were well known for their development and contribution as brilliant mathematicians. Despite their widely spread fame as the world’s first greatest mathematicians, the Greeks had…

Mathematics in Engineering

Abstract: In this article, we present the concept of mathematical application projects as a means to enhance the capabilities of engineering students to use mathematics for solving problems in larger projects as well as to communicate and present mathematical content. As opposed to many case studies, we concentrate on stating criteria and project classes from which instructors can build instances (i.e. specific projects). The main goal of this paper is to facilitate the definition of new „good“ projects in a certain curricular setting. 1. INTRODUCTION Learning and training mathematical concepts and algorithms in engineering departments of German Universities of Applied Sciences (“Fachhochschulen”) usually consists of a sequence of “small steps” with “small-sized” assignments. This is necessary in order to gain…

Nike Questions

1. First, read Case 13, “Best Practices in Estimating the Cost of Capital. 2. What is WACC and why is it important to estimate a firm’s cost of capital? 3. Do you agree with Joanna Cohen’s WACC? Why or why not? 4. If you do not agree with Joanna’s analysis (hint: she has one or more errors) calculate your own WACC for Nike and be ready to justify your assumptions and what she did wrong. 5. Calculate the costs of equity using CAPM. The dividend discount(Gordon) model, and the earnings capitalization model. What are the disadvantages and advantages of each? Can each be used here or is their a violation or theory or logic in one or more of them?…

The Importance of Mathematics to Everyday Life

Even though Mathematics undoubtedly has universal applications to life and is an essential tool in science, technology, economics, business, commerce and of course in computer design and functioning there is a general tendency for people to shy away from it for various reasons-some feel it is too difficult while others do not see its practical connection to everyday life. Consequently, we find just a small number of people who pursue this fascinating subject and the end result is that there is always only a small core of brilliant or good mathematicians which helps to reinforce the perception that this area of study is only reserved for an elitist few. Mathematician T. Rogers in one of his lectures notes: “The percentage…

L.L Bean Inc Paper

This paper has adjusted the 5 problems that shown in this case. First paragraph is to adjust how L.L Bean uses the previous year’s demand to determine how many units of product to order. Second paragraph is to adjust how many units of item L.L Bean should purchase under the relationship between the item costs and revenues. Third paragraph is to adjust what information should Scott Sklar have in order to help him to forecast for a particular style of men’s shirt that is a new catalog item. Fourth paragraph is to adjust the method that Mark Fasold used in the case to solve the number of items purchased. Lastly, the final paragraph is to adjust the improvement that L.L…

Mathematics and English Sentences

The order of operations was developed years ago. Someone just decided on an order in which operations should be performed. It has nothing to do with magic or logic. Some one decided to adopt a way, and it has been followed through out history. It makes communication easier. Punctuation marks are used in any language to make clear what we want to say. Punctuation marks are just as important in number sentences as they are in English sentences. Without being told by a symbol or some other means, we do not know whether to do the multiplication or the addition first. To avoid the confusion of such an expression naming two different numbers, let us use parentheses to indicate which…

Personal Statement

Bearing in mind my academic background, interests and capabilities, I desire to pursue graduate study in Computer Science leading to a doctoral degree at Pennsylvania State University (University Park). I am a final year student of Computer Science at a premier engineering school – Birla Institute of Technology and Science (BITS), Pilani, India. Research interests: The mathematically rigorous curriculum at BITS, coupled with my interests, provides an ideal setting for me to pursue research in Theoretical Computer Science. My research interests include – randomized and approximation algorithms, combinatorial optimization, complexity, parallel algorithms, graph theory, number theory, and allied areas of cryptography and quantum computation. Career goals: I aspire to build a career in academia by joining as a faculty member…

History of Mathematics

“Mathematics – the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to human affairs. ” (Barrow) Mathematics plays an integral function in our daily living since its conception, and we thank the great mathematicians for this essential tool. Mathematics has been used in various professions and academic fields. Undoubtedly, there have been many men of old that have contributed to the science of mathematics, but what really captivates our interest, are the ones who were passionate – who dedicated their lives to the study of mathematics; the originators of various fields of mathematics who displayed remarkable work. I have narrowed the list of the top three mathematicians who I have deemed worthy of being named the Greatest Mathematician…

Maths in Everyday Life

You may find yourself wondering what use we have for some of the knowledge we obtain from math class in school. It is sometimes difficult for students to appreciate the importance of Mathematics. They often find the subject boring and hard to understand. With this project we will hopefully help our students realize that Mathematics is not just a subject on their time-table but a tool they use in their everyday life. “Mathematics is one of the first things you learn in life. Even as a baby you learn to count. Starting from that tiny age you will start to learn how to use building blocks how to count and then move on to drawing objects and figures. Through the…

Solving Quadratic Equations

Using correct methods to solve quadratic equations can make math an interesting task. In the paper below I will square the coefficient of the x term, yield composite numbers, move a constant term and see if prime numbers occur. I will use the text and the correct formulas to create the proper solutions of the two projects that are required and solve for the equations… In project one, I will move the constant term to the right side of the equation and square the coefficient of the original x term and add it to both sides of the equation. Solve for project one: Part A X2 – 2x – 13 = 0. 4x*4 + 8 = 52 4x*4 + 8…

History of Mathematics

If D is between A and B, then AD + DB = AB (Segment Addition Postulate). And segment AB has exactly one midpoint which is D (Midpoint Postulate). The midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle. Midsegment Theorem states that the segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to half the length of the third side. In the figure show above (and below), DE will always be equal to half of BC. Given ? ABC with point D the midpoint of AB and point E the midpoint of AC and point F is the midpoint…

Add maths SBA

Title: To find the maximum volume of a box using the method of differentiation. Problem statement: Mr. Lee, owner of a private cake company, sells a square 5 inch cake in a box made from 50 x 50 cm sheets of material. He would like to put a bigger square 8 inch cake in a box made from the same 50 x 50 com sheets of material. He decided to use the method of differentiation to help him with his task. Method: 1. Three squares measuring 50 x 50 cm were cut from bristol board sheets using rulers, set squares, pencils and scissors. It is from this square that the smaller squares of sides (x) will be cut from the…

Accounting Information Systems

To access the functions, click on the Insert Function (fx) icon. You can select the most recently used, all functions or functions by category. Find SUMIF. SUMIF function In the Range field, click and drag the range of cells that contain the data used in the Criteria field. In this case, the number field contains the data used in the Criteria field (number). In the Criteria field define the criteria (in this case, number = 1). In the Sum_range field click and drag the range of cells that contain the data that you want to sum. In this case, the amount field (column B) is being summed. IF function In the Logical_test field, define the criteria. In this case the…

Math for Elementary Teachers

Math for Elementary Teachers II is the second part in a two part series. The mathematical concepts that were focused on throughout the second part of Math for Elementary Teachers were on measurement, geometry, probability, and data analysis. Just like part one of Math for Elementary Teachers, part two also address the relationship of the course concepts to the National Council of Teachers of Mathematics Standards for K-8 instruction. The first two weeks of this course, the main concepts that were explored was data analysis and probability. When learning about data analysis, A Problem Solving Approach to Mathematics for Elementary School Teachers taught students that data analysis is the measures of Central Tendency, Statistics, and Variation. During data analysis students…

3rd Grading Reviewer/Quick notes on Math VII

* Algebra – is a branch of mathematics that focuses on demonstrating the properties and relationships of abstract things in symbolic form or in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set. * Variable – is a symbol, usually a letter, such as x, y, or z, used to represent an unknown number. * Constant – an object or symbol that does not change its value in a particular problem or discussion e.g. pi. * Algebraic Expression – is a collection of numbers, variables, symbols for operations, and symbols for grouping. * Diophantus –…

Algebra

Algebra, some of us fear it while some of us embrace it, algebra is not “arithmetic with letters” it is better described as a way of thinking. At its most fundamental level, arithmetic and algebra are two different forms of thinking about numerical issues. Many of these examples have been taken from our classroom discussions while others are examples I have discovered in my own research for this paper, several examples of each will be cited. “Let’s start with arithmetic. This is essentially the use of the four numerical operations addition, subtraction, multiplication, and division to calculate numerical values of various things. It is the oldest part of mathematics, having its origins in Sumeria (primarily today’s Iraq) around 10,000 years…

History of Circle

The word “circle” derives from the Greek, kirkos “a circle,” from the base ker- which means to turn or bend. The origins of the words “circus” and “circuit” are closely related. The circle has been known since before the beginning of recorded history. Natural circles would have been observed, such as the Moon, Sun, and a short plant stalk blowing in the wind on sand, which forms a circle shape in the sand. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern civilization possible. In mathematics, the study of the circle has helped inspire the development of geometry, astronomy, and calculus. Early science, particularly geometry and astrology and astronomy, was…

Humor in Mathematics Classroom

INTRODUCTION To make the learning in classroom more fun, teachers do make a different strategies or techniques. Game and laughter is very important in learning, that’s why teachers that do have humor make their class more enjoyable and interesting. Anyone who has paid attention to great speakers would know that humor is an excellent method for eliciting sympathy from the audience and opening them up to your message. Every teacher also knows that a sense of humor is necessary to winning the hearts of students. How should this inform teaching? Should the teachers focus on creating an entertaining show for their students? Or would the teachers change their lessons into therapy sessions? This study presents a teaching approach that is…

Mathematics subject

Write a simple sentence and then write the negation. Imagine situations where each statement is true or false. How does the truth value (true or false) of the negation statement compare with the truth value of the original statement? Simple sentence: Mathematics is an easy subject. Negation: Mathematics is not an easy subject. There are many situations in one’s life that is true or false. A proposition is a statement that is declarative in form and is either true or false. The truth value of a statement is unclear in real life due to some conditions and the reasoning of each and every people. Another is that the truth value of a statement may also depend on time and space….

Calls for Change in High School Mathematics

Mathematic educators, parents and students are calling for proper changes in approaches to learning mathematics in high schools. The need to improve learning of mathematics in schools is highly recognized and underlined. Thus, the National Council of Teachers of Mathematics published the Curriculum and Evaluation Standards for School Mathematics that offered recommendations for high school mathematics reform. In addition, the Conference Board of the Mathematical Sciences in their official report ‘The Mathematical Sciences Curriculum K–12: What Is Still Fundamental and What Is Not’ stresses the importance of new topics and techniques in the secondary schools. New approaches should develop new learning techniques that would be discrete from statistics, mathematics, and emphasis on algebra and geometry should be properly re-assessed according…

Calls for Change in High School Mathematics
Mathematic educators, parents and students are calling for proper changes in approaches to learning mathematics in high schools. The need to improve learning of mathematics in schools is highly recognized and underlined. Thus, the National Council of Teachers of Mathematics published the Curriculum and Evaluation Standards for School Mathematics that offered recommendations for high school mathematics reform. In addition, the Conference Board of the Mathematical Sciences in their official report ‘The Mathematical Sciences Curriculum K–12: What Is Still Fundamental and What Is Not’ stresses the importance of new topics and techniques in the secondary schools. New approaches should develop new learning techniques that would be discrete from statistics, mathematics, and emphasis on algebra and geometry should be properly re-assessed according…

Babylonian Method

I. Objective The objectives of this activity are: To be able to calculate the root of a number [Babylonian Method] using Octave To find the number of iterations To be input its tolerance to determine its number of iteration II. Problem In order to be able to calculate the root of a number using Babylonian method, we must first make a program using octave that would make a function calculate the given number denoted by ‘Babylonian(x)’. We must also include in the program the number if iterations it will make. Another problem also is we had to make another program that will calculate its root but its number of iterations will not be specified, only its tolerance will determine the…

Mathematics, the Connection Between Art and Science

Although there are many differences that set art and science apart, they share one undeniable commonality. This bond that is present between what is otherwise considered as polar opposites is mathematics. As shown in Professor Vesna’s lecture, mathematics is imperative to the development of art. Through math, artists have come to understand perspective, proportion, and geometrics. In terms of science, mathematics is the foundation which every theory stands upon. Nature, humans, and the digital world would have been impossible to comprehend without numbers to bridge the gap between the unknown and the understood. Truly, mathematics is ubiquitous and continues to prove its importance to this day. A novel amalgamation that consists of mathematics, art, and science is music. Milkman, an…

Global Warming Outline

Pierre de Fermat was born in Beaumont-de-Lomagne, France in August of 1601 and died in 1665. He is considered to be one of the greatest mathematicians of the seventeenth century. Fermat is considered to be one of the ‘fathers’ of analytic geometry. Fermat along with Blaise Pascal is also considered to be one of the founders of probability theory. Fermat also made contributions in the field of optics and provided a law on light travel and made wrote a few papers about calculus well before Isaac Newton and Gottfried Leibniz were actually born.Fermat’s most important work was done in the development of modern number theory which was one of his favorite areas in math. He is best remembered for his…

National Achievement Test

This study tried to analyze the Mathematics achievement of the second year high school students of Hermano Miguel Integrated School as revealed in the National Achievement Test (NAT). The relationship between the achievement in Mathematics and their profile was also determined. The results were utilized in developing and evaluating the proposed expanded remediation module. What is the profile of the students as regards age and gender? Gender. In terms of age, it can be seen from table 1 that out of 37 second year high school students used in the study, nine or 24. 32 percent are males and 28 or 75. 8 percent are females. It can be deduce that majority of the students are females. It may also…

Timeline of Geometry

It is believed that geometry first came to being when and Egyptian Pharaoh wanted to tax farmers who raised crops near the Nile River. To do that the pharaoh’s agents had to measure the amount of land that was being used. 1. 2900 BC – The first pyramid was constructed. The knowledge of geometry was important due to the fact it consisted a square base and triangular faces. 2. 2000 BC- It was the earliest record of calculating the area of a triangle, however there is no tangible evidence. 3. 624-547 BC- The Thales of Miletus was said to be the person to bring the science of geometry from Egypt to Greece. He created the Thales’ Theorem. 4. 569-475 BC-…

Amitrade: a Problem Excercise of Cost of Capital

The course material covered in weeks 4 and 5 should be suﬃcient for doing this problem set. The questions below are for the Cost of Capital at Ameritrade case in your course packet. You can ﬁnd the data for this case on the course website in a spreadsheet named Ameritrade.xls. Please turn in your problem set solutions by posting them to bSpace as an Excel ﬁle or pdf ﬁle. Upload a single solution for each group, with all group members listed on the ﬁrst page. If you turn in an Excel ﬁle, make sure the grader can understand what you did without clicking on any cells. To make that possible, please include cells with appropriate explanations of what you did….