TIME Group 1: CASH (60); Tidioute (30); New Castle (30),— Get off bus in Cooper Circle and walk to Ross; meet at the front door of Ross 8:50 8:50 9:35 10:10 SESSION A: MATH/CS in ROSS HALL (group of 110 students will be split into 4 groups) 8:50--meet the group of 120 and tell them their options 8:55-9:10: first session 9:15-9:30: second session 9:35-9:50: third session 9:55-- dismiss entire group—split into two groups 10:00 Teachers pick which session students will attend. If you have two teachers, you can take half one place and half to the other. 10:10 SESSION B1: Psych (40-70 students) SESSION B2: CHEM/BIO (40-70 students) 10:10: Walk to Compton, Chemistry- Cooper 170 10:20: Psych --Compton, 10:45 11:20 11:30 11:30 11:10: walk to Cooper Biology- Cooper 115 Meet up at Cooper SESSION C1: CASH (60 students) start at Planetarium SESSION C2: Tidioute (30); New Castle (30)- split into two groups of 30 SESSION C1 SESSION C2: PlanetariumSplit the group Geosciences… Then split the group PhysicsObserv.-G3 12:05 12:40 PhysicsG3 Observ.-Cooper 300 Cooper 300 PlanetariumGeosciences Group 2: Get off at Cooper Circle SESSION C1: Perseus (22) and East High (40) start in Planetarium; SESSION C2: Cambridge Springs (40) and Union City (20)—send half of each school to Cooper-G3 and half to Observatory (Cooper 300) Group 3: Millcreek (50), General McLane (20)), Saegertown (43)— Get off bus at Cooper Circle. Teachers pick which session students will attend. If you have two teachers, you can take half one place and half to the other. (60 students) SESSION B1: Psych (40-70 students) SESSION B2: CHEM/BIO (40-70 students) 8:50: Walk to Compton, Chemistry- Cooper 170 SESSION C1 PlanetariumGeosciences… Then split the group SESSION C2: Split the group (30 st) (30 st) PhysicsObserv.-G3 Cooper 300 9:00: Psych --Compton, 9:50: walk to Cooper PhysicsG3 Observ.-PlanetariumCooper Geosciences 300 Everyone go to Ross. Meet at front door. SESSION A: MATH/CS in ROSS HALL (group of 110 students will be split into 4 groups) 10:05-- meet large group 10:10-10:25: first 10:30-10:45: second 10:50-11:05: third 11:10: dismiss entire group—split into two groups Biology- Cooper 115 Meet up at CooperSESSION C1: Millcreek start at Planetarium; SESSION C2: General McLane and Saegertown-- split into two groups of 30 SESSION C1 SESSION C2: PlanetariumSplit the group Geosciences… Physics- G3 Observ.-Then split the group Cooper 300 PhysicsG3 Observ.-Cooper 300 Planetarium- Geosciences Teachers pick which session students will attend. If you have two teachers, you can take half one place and half to the other. Everyone go to Ross. Meet at front door. SESSION B1: Psych (40-70 students) SESSION A: MATH/CS in ROSS HALL (group of 110 students will be split into 4 groups) 11:30: Walk to Compton, 11:40: Psych --Compton, SESSION B2: CHEM/BIO (40-70 students) Chemistry- Cooper 170 Biology- Cooper 115 11:30- meet large group 11:35-11:50: first 11:55-12:10: second 12:15-12:30: third 12:30 head to lunch Head for Lunch in Van Houten—North and South (Lunch from 12:45-1:45)… busses can pick up at Cooper Circle or closer to Van Houten Abstracts: Psychology in Action—in Compton Hall: Students will learn and experience the latest use of technology in researching how we think, perceive, and act. Learn how scientists reveal what’s going on when we tell a lie, look at a picture, or behave impulsively, using eye trackers, polygraphs, and animal learning. Find out how psychologists make important discoveries in the lab. For the Biology Activity—in Cooper 115: Title: Kitchen Genetics- extracting DNA made easy Students will learn how to extract DNA for living organisms (fruits and vegetables) in five easy steps using household materials. They will also learn what is happening at each step. Physics- Manufacturing—meets in Cooper- G3 Observatory – meets in Cooper 300 Mathematics/ Computer Science: Ross 137: Computer Science games and demos Ross 139: Game of 24 Talks: Ross 136 Ross 134 Ross 135 Ross 138 8:55 - 9:10 10:10 – 10:25 11:35 – 11:50 Dan Bennett Putting The You in CPU Rick White Knights, Knaves, and Spies Brad Wolfe An Introduction to Projective Geometry through Perspective in Renaissance Art Larry Downey The Mathematics of Buzz Lightyear 9:15 – 9:30 10:30 – 10:45 11:55 – 12:10 William Bollendorf Pretty Graphics Stuff Anne Quinn How To Do Advanced Math On Your Phone Michelle McCarney New Extra Point…or Two Point Conversion? 9:35 – 9:50 10:50 – 11:05 12:15 – 12:30 Korey Kilburn Choosing the Optimal Parking Space John Hoggard Iteration: Rooting for a Pattern Kevin Shuman Blackbody Radiation and Measuring Stellar Surface Temperatures Doug Puharic Paradoxes, and Puzzles, and Logic! Oh, my! Abstracts Ross 136 Dan Bennett: Putting The You in CPU Buried deep in every cell phone, laptop and game system is a powerful engine which drives all computation: the Central Processing Unit or CPU. This mysterious device reads instructions written in a secret code and produces amazing graphics, friend attracting face book pages and stunning alternative realities. In this session we will explore the operation of a CPU with human components to run a simple program. William Bollendorf: Pretty Graphics Stuff Drawing shapes and colors on a piece of paper is far too simple. It'd be a lot more interesting to have a computer do the drawing for us! In this talk, we will examine some of the tricks and techniques used in drawing images on a computer screen as well as look at a few applications of the basic concepts behind computer graphics. Korey Kilburn: Choosing the Optimal Parking Space Suppose a driver is looking for parking on the way to a night club. As he drives up the parking lot, each parking place is free with probability p, independently of whether other parking places are free or not. The driver cannot observe whether a parking place is free until he reaches it. If he parks k places from his destination, he incurs a cost of k dollars. If he reaches the destination without having parked, the cost is C dollars to pay the valet to do the parking. By parking too far away, the driver incurs a hefty cost. However, by being “greedy” and trying to park too close, the driver risks the need to pay the valet. This talk will discuss the optimal parking policy as to minimize the expected cost of parking. Ross 134 Rick White: Knights, Knaves, and Spies On an isolated island live three kinds of people: knights, who always tell the truth, knaves, who always lie, and spies, who tell the truth and lie. You meet three people on the road one day, can you tell which is which? Anne Quinn: How To Do Advanced Math On Your Phone Different from the graphs one uses in algebra, the field of Graph Theory uses “vertex-edge graphs”. Vertex-edge graphs let students apply many different proof techniques to important real-life applications and problems of the future, including project management, network flow, and transportation networks. We will learn some basics concepts of Graph Theory and experiment with several apps that help students of all ages and ability levels visualize these graphs. If possible, please bring an electronic device, especially iPods/iPads/iPhones, with you. John Hoggard: Iteration: Rooting for a Pattern Can you take a square root by hand? Ancient Babylonians knew how to do this using iteration. Iteration is a powerful tool used throughout mathematics and computer science. Once we learn to take some roots ourselves, we'll take a peek at how these techniques lead to the modern theory of chaos. Ross 135 Brad Wolfe: An Introduction to Projective Geometry through Perspective in Renaissance Art Historical methods of perspective in renaissance art are provided as an introduction to central projection and motivation for projective geometry. Kevin Shuman: Blackbody Radiation and Measuring Stellar Surface Temperatures A discussion of blackbody radiation will be followed by a presentation on a project performed at Mount Wilson Observatory in California. The objective of the project was to obtain spectra using a 16” Meade LX600 telescope and the SBIG SGS spectrograph at Mount Wilson Observatory. In addition, spectral analysis was used to obtain the surface temperature of a star from each stellar classification O, B, A, F, G, K and M. To calculate the surface temperature, spectral radiance vs. wavelength plots were made using the data processed from the images of the stars. Curve fitting and applying Wien’s displacement law was used to calculate the surface temperature. An additional method was used to calculate the temperature of the M class star. The method was to plot Planck curves within the temperature range to the stellar class using Planck’s Law. The curves were then shaped to match the shape of the spectral radiance curve of the star. Calculations were made successfully for classes F, G, K and M. That is, the temperatures were within the temperature range of their stellar class. The results for O, B and A stellar classes were unreliable due to their nature. That is, the temperature of stellar classes O, B and A produce wavelengths of light shorter than what the spectrograph could measure. Doug Puharic: Paradoxes, and Puzzles, and Logic! Oh, my! We will delve into the wonderful world of mathematical puzzles and paradoxes. Logic and reasoning will be our tools to determine what is true and what is false. If the statement, “This sentence is false”, intrigues you, then you will want to join us in the world of knights, knaves, lies, truths, unexpected exams, and other oddities. Ross 138 Larry Downey: The Mathematics of Buzz Lightyear When Buzz Lightyear says “to Infinity, and beyond”, what could he possibly mean? We will discuss the notion of infinity in terms of sets and sums from the correct, mathematical perspective. Please come with your idea of what we should mean by where the dots mean this is an “infinite” sum. Michelle McCarney: New Extra Point…or Two Point Conversion? After a football team scores a touchdown they get to either kick for an extra point or run a play and try to get in the end zone for a two-point conversion. In 2015 the NFL changed the distance of an extra point kick from 20 to 33 yards. The NFL made this change to make for more excitement immediately after a touchdown. In the past an extra point was pretty much automatic, in fact it was made 99.3% of the time! Now the extra point is no longer automatic, you actually need to stay tuned to see if your team gets their one extra point or maybe they will even go for two, with a two-point conversion. Given the data from the first 3 weeks on the 2015 NFL season, should teams go for one or two points? We will investigate which we would expect will pay off with more points over the long run. We will also look at changing the point value of the two-point conversion or changing the line of scrimmage of either play to make the expected value of both plays nearly equal.