Pt1420 Unit 2

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Question #2
Describe the scenarios when it would be preferable to use simulation instead of analytical models, and scenarios where it would be preferable to use analytical models instead of simulation. Give examples wherever appropriate.
The question on whether to use analytical or simulation approaches has stemmed from the recent advances in computation. Before the advent of powerful computers, analytical approaches were often the only way to solve problems. But recent advances in computation have granted often “easier” ways to solve complex mathematical models. Of course, both approaches stem from mathematical models (as opposed to physical models) and the hierarchical structure of different ways to study a system is given in Figure 1. Figure 1: Ways to Study a System [4]

The term easier is a rather loosely defined one. Easier is meant by the method of compiling information, where highly complex systems can now be simulated by advanced computing software. Simulation can have many pitfalls which will be explained later, and is by no means an easy process. Basically, once a mathematical model is built to describe a system, it must be tested to see how it can be used to answer various questions of interest from the system it represents [4]. If this mathematical representation is simple enough, it is possible to work with the underlying quantities and …show more content…
But once it is decided that the system at hand is too complex to derive an analytical solution directly, simulation must be the only choice. There are advantages to simulation, disadvantages, and often pitfalls. The first advantage has been already discussed and is the ability to study a system that was too complex to derive an analytical solution. Other advantages of simulation also allow time compression, maintenance of experimental conditions, and alternative system configuration comparison

Pt1420 Unit 2

Latino foster youth. The investigation was guided by three research questions: (1) To what extent do demographic factors, child welfare characteristics, SEB problems, mental health service use, and environmental context influence delinquent outcomes? (2) To what extent does race/ethnicity moderate the relationship between SEB problems and delinquent outcomes, controlling for demographic factors, child welfare characteristics, and environmental context? (3) To what extent does race/ethnicity moderate…

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Pt1420 Unit 2

Task 1: (i) Based on this scenario, answer the following questions that are related to the mathematical understanding of the concept: (a) What is the domain and range of h(t)? What is the physical significance of domain and range in this scenario? The domain of h( )h(t) would typically be all real numbers, as time t can theoretically extend indefinitely in both directions. However, in this scenario, the domain might be restricted to non-negative values, as negative time values wouldn't make physical…

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Pt1420 Unit 2 Essay

For the unit 2, I continued the reading of the book “Think Python, How to Think Like a Computer Scientist” by Allen Downey and I learned about variables, expressions and statements. I also continued learning about the history of computer technology by reading the chapter 3 and chapter 4 of the book “A history of the personal computer: the people and the technology”. From my readings, I learned that computers use different types of informations. For the programming language Python, some types to…

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Pt1420 Unit 2 Assignment

of January we have two points (1, 10) and (31, 12) and in the month of February, we have two points (1, 10) and (28, 9). Since the formula to calculate a slope is: Slope (m) is (y2 - y1) / (x2 - x1) Slope for January is m = (12 - 10) / (31 - 1) m = 2/30 m = 1/15 Slope for February is m = (9 - 10) / (28 -1) m = -1/27 Hence, we are looking for a function of the form f(x) = mx + b. To determine m and b, we use the fact that a stock price goes from $10 to $12 from January 1st to January 31, and from…

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Pt1420 Unit 2 Assignment

A. Introducing the Assignment Every summer I spend a lot of time solving Sudoku a “logic-based number placement puzzle” which is one of my favorite games. I was taught how to solve these mathematical puzzle games five years ago and since then it is a daily routine of mine. I soon realized that mathematics consisted a great part of my everyday life. Yet, I had never thought of the mathematical significance and specifically the logic and mathematical thinking involved when playing this game, something…

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Pt1420 Unit 2 Assignment

Did any of the ideas in the session surprise you? The idea that surprise is how children can open up by questions related to their daily lives. One of children favorite literacy exercise “All about me”. What might you do differently to promote parent involvement? There is not much different approaches that I can think of. Phone calls, emails, flyers, open communication, notes, meetings, assessments, letters to the parents. Lastly, teachers need to keep insisting, in a good way at the times, to…

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Pt1420 Unit 2 Assignment

together evenly. The polynomials are: -(x+1.241)^5-2.149 using the limits {-2.149 ≤ y ≤ 0} (x-1.759)(1/4 (x-0.959)) (x+1.241)^2-2.149 using the limits {-1.241 ≤ x ≤ 0} x^3/10-1.5 using the limits {-1.5 ≤ y ≤ 0} When plotted, the curves will give a cross section of the pool. This cross section can be seen below in Figure 5. The blue section is Equation 1, the red is Equation 2, and the purple is Equation 3. Figure 6. Cross section of the designed pool. All of the points that can be seen on Figure…

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Pt1420 Unit 2 Assignment

f(x)= (2x+4)/3 2. Switch the x and y variables around and to get the inverse function y=(3x-4)/2 Y= (2x+4)/3 Now she has to solve for X 1: Flip the equation. 2: Add (-4)/3 to both sides. 3: Divide both sides by 2/3. 1. Y= (2x+4)/3 2. 3y=2x+4 3. 3y-4=2x (3y-4)/2=X She now has "x =" so switch X AND Y FOR THE INVERSE y=(3x-4)/2 Solve x=6 (x=number of inches) y=(3x-4)/2 y=(3(6)-4/2 y=7 Neveah's hair would grow 6 inches in 7 months. (7 is the Y-intercept) 7=(3(6)-4)/2…

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Pt1420 Unit 2 Study Guide

1. Maimouna is a girl who was told she would never have a husband or have a family of her own because she was diagnosed with aids. She was bashed by others because she has aids. This was heartbreaking to hear about. This girl has hopes and dreams of finding a husband and having a family of her own, but society was against her stating it will never happen because she has aids. Instead of having people around her to help her and support her through this tough experience, she was bashed and that is…

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Pt1420 Unit 2 Individual Assignment

After going over our stories in class today, you can say group 2 is very diverse. What really stood out to me after listening to all of our stories is that; we all have parents or grandparents that have migrated to the United States from somewhere else. Additionally, we all have kind of the same support system behind us while we pursue our degrees. Alex is a 21-year-old student, whose drive has gotten her to accomplish her degree in 4 years. She comes from a mixture of backgrounds: Hawaiian, Italian…

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