Area 1: Engineering Artifact: ETD 1340- Advanced CADD Pictures of an assembly drawing. EGS 1007- Intro A homework assignment done in MatLab to Engineering Concepts Area 2: Mathematics MAC 2312- Calculus w\ Analytical Geometry II YouTube video of one of my favorite integrals. MHF 3302- Logic and Proof Mathematics A picture of a proof that I worked out. Minor: Astronomy AST 2002- Astronomy Picture of the concept of parallax. AST 2002- Astronomy Picture the energy levels of Hydrogen. Area 1: Engineering Artifact: ETD 1340- Advanced CADD Pictures of an assembly drawing. Area 1: Engineering Artifact: EGS 1007- Intro A homework assignment done in MatLab to Engineering Concepts Matlab_Lab3: 1. The distance a projectile travels when fired at an angle is a function of time and can be divided into horizontal and vertical distances. H(t) = t Vo cos() V(t) = t Vo sin() - 1/2 g t2 H(t) and V(t) are the distance traveled in x and y direction. Vo = 100 m/s is the initial velocity, g = 9.81 m/s2 and t is the time, 0 <t < 20 sec. Calculate the vertical (V1, V2 and V3) and horizontal (H1, H2, H3) distances traveled for angles /2, /4 and /6. Graph horizontal distances in x-axis and vertical distances in y-axis for all three cases. You will have three lines, make one solid, one dashed and one dotted. Add a legend to identify which line is which. 2. Populations tend to expand as P = Poert , where P is the current population, Po is the original population, r is the rate, expressed as a fraction, t is the time. If you originally have 100 rabbits that breed at a rate of 9% per year, find how many rabbits you will have at the end of each year for 30 years. Create a plot with three subplots. In the first subplot plot t versus P on a rectangular coordinate system. In the second subplot; plot t versus P, scaling the x-axis logarithmically. In the third subplot; plot t versus P, scaling both axes logarithmically. Add title to each graph. 3. The vector G represents the distribution of final scores in a course. G = [68, 70, 56, 78, 97, 65, 87, 84, 72, 90, 99, 85, 79, 96, 64, 88, 76] (a) Use Matlab to sort the data and create a bar graph of the sorted scores. Add Title, and axis labels. (b) Create a histogram of the scores. Add Title, and axis labels. 4. Create a vector of x values from 0 to 20, with an increment of /100. y = x sin(x) and z = x cos(x) (a) Create an x-y plot of y. (b) Create a polar plot of x and y. >>%Problem #1 >> t = [0:20]; >> V = 100; >> g = 9.81; >> H1 = t*V*cos(pi/6); >> V1 = t*V*sin(pi/6)-(1/2)*g*t.^2; >> H2 = t*V*cos(pi/4); >> V2 = t*V*sin(pi/4)-(1/2)*g*t.^2; >> H3 = t*V*cos(pi/2); >> V3 = t*V*sin(pi/2)-(1/2)*g*t.^2; >> plot(H1,V2, H2,V2,':', H3,V3,'--') >> axis([-100 2000 0 600]) >> legend('H1 V1', 'H2 V2', 'H3 V3') >> title('Projectile Distance'); xlabel('Horizontal Distance'); ylabel('Vertical Distance') >> axis([-100 2000 -600 500]) >> % Problem #2 >> p=100; >> r = .09; >> t = 1:30; >> P = p*exp(r*t); >> subplot(2,2,1), plot(t,P), title('t vs. P'); subplot(2,2,2), semilogx(t,P), title('semilog t vs. P');subplot(2,2,3), loglog(t,P), title('log t vs. log P'); >>% Problem 3a >> G = [68 70 56 78 97 65 87 84 72 90 99 85 79 96 64 88 76]; >> bar(sort(G)), title('Final Scores'), xlabel('Students'), ylabel('Scores'); >> % Problem 3b >> hist(sort(G)), title('Final Scores'), xlabel('Number of Students'), ylabel('Scores'); >> %Problem 4 >> x = 0:pi/100:20*pi; >> %Problem 4a >> y = x.*sin(x); >> z = x.*cos(x); >> plot(x,y), title('x vs. y'), xlabel('x axis'), ylabel('y axis'); >> % Problem 4b >> polar(x,y), title('Polar x vs. y'), xlabel('x axis'), ylabel('y axis'); Area 2: Mathematics MAC 2312- Calculus w\ Analytical Geometry II YouTube video of one of my favorite integrals. This is not my own work. The owners YouTube handle is Sy Le . http://www.youtube.com/watch?v=nf8OUCSAjk8 Area 2: Mathematics MHF 3302- Logic and Proof Mathematics A picture of a proof that I worked out. Minor: Astronomy AST 2002- Astronomy Picture of the concept of parallax. d = 1/p Minor: Astronomy AST 2002- Astronomy Picture the energy levels of Hydrogen. Area 1: Engineering Artifact: Informative video on how to change the oil of my Learning how to change the oil in my car. Doing home and improvement around the house. car. A photo of my uncle and I putting up drywall. Area 2: Mathematics Tutoring someone in mathematics. Creating a formula that shows how much money I spend a year on bills. Written statement from student telling how much they have accomplished in math. A photo of the equation that I came up with. Minor: Astronomy Me visiting the observatory at UCF. Photo of me next to a telescope. Doing an experiment with the phases of the moon. A photo of me collecting data, and my final results. My education has come from many places, but I do believe that most of it has been informal. The way I look at it, if you compare the amount of time we have spent outside of a formal educational setting to the time inside, you will see that we have been in an informal setting way more often. Not to mention, if you consider the amount of knowledge you gain from the time you are born to the time we first go to school, the amount of informal education has a very large lead. We start off as little breathing creatures that only know how to cry and drink milk. Then after about 3 years, we were already communicating, processing longer thoughts, and most importantly we learn about imagination. From this point, the amount of knowledge you gain from formal education never catches up with the amount of informal education because of this “lead” that informal education has. Although informal education grossly outweighs formal education, I do think that a formal education is necessary to help continue you the growth of your informal knowledge. What I mean is that without our formal education, the amount of informal knowledge that you can grasp will eventually level off. The reason for this is that the knowledge you gain in a formal setting exponentially increases the level of your thought process, allowing you to learn more things and link more thoughts together. Both forms of education are necessary for survival and are dependent upon each other for growth, but in the long run, the amount informal education will be far greater. Regardless of which has been more pertinent my life, every second that we are breathing is an opportunity to learn, and I plan to learn until the day that I die.