Class of 2015 Math Exploration Topics

	A	B	C	D	E
1	Recitation	Last	First	Topic/Question	Lao/Pak Comments

2	R3	Cardenas	Erika	#8. Grid Problem, Pascals Triangle. I will generalize by creating grids with more rows and columns and some with less rows and colums. I will also see what happens if a grid has a hole in it.
3	R3	Coppin	Chrissy	How do the frequency graphs of different music notes compare ?
4	R3	Gorbachenko	Viktor	Probability of winning in Blackjack
5	R3	Henry	Rhys	How do football players use geometry, knowledge of vectors, and math of projectile motion when playing football?
6	R3	Islam	Sam	how can one find the maximum height attainable by a rollercoaster given its angle of launch, height and initial velocity?
7	R3	Kaur	Jaspreet	Possible paths across a rectangular grid with 5 columns and 3 rows. I will generalize by thinking about m rows and n columns.
8	R3	Kaur	KP	Secret triangles problem. I will generalize by trying to look for a simple formula that will give you the secret number and if this works on squares and other shapes.
9	R3	Liu	Loulian	Using angles and cue ball positioning to get a target ball into a pocket.
10	R3	Olivarez	Jasmine	How many different ways are there to give change for a dollar?
11	R3	Perez	Adrianna	Why do related rates work?
12	R3	Rahman	Abidur	Comparing the effectivness for formulas of centripetal acceleration and cos functions for height
13	R3	Ruiz	Gabby	The fibonacci sequence and golden ratio in nature
14	R3	Santana	Rosa	How does the circular motion of objects differ due to their circumstances?
15	R3	Saverchenko	Anastasia	The use of the Fourier series for modeling ECG
16	R3	Singh	Manipal	How does the height of player affect his free throw percentage?
17	R3	Ventura	Selena	Stimulus problem 10 is going to be generalized by looking at the number of intersections of the figure and the graph theory
18	R3	Watson	Ilan
19	R3	Wu	Meishan	How does stellar triangulation calculate the distance between Earth and a distant nearby celestial object with the use of parallax?
20	R3	Wu	Yu Xuan	How many different ways can a knight touch every square of a 8x8 chessboard in a game of chess?
21	R3	Zhou	Ji Ming	How to win at tic-tac-toe? I will generalize by changing dimensions of tic tac toe grid (4 by 4).
22	R5	Abbasi	Hassan	Is the arch the strongest structure compared a beam structure? Why or Why not?
23	R5	Achan	Ray	Is there any statistically significant data between the number of Tony's won by certain show and the total number of performances on Broadway?
24	R5	Al Ajmi	Rabab	Wh
25	R5	Caguana	Brandon	#34 Using sums assigned to sides of a triangle to find the secret numbers adding up to those sums. How can we generalize the method to find the sercret numbers assigned to the vertices of a triangle using the sum of those numbers?
26	R5	Chen	Justin
27	R5	Chkhartishvili	Bek	Exploration of Fibonnaci numbers/golden ratio in nature.
28	R5	Chowdhury	Simun	Explore the use of calculus in pharmocology
29	R5	Cui	Jennifer	# 19 What are the first 20 triangular and pentagonal numbers? and I will generalize to include a general formula as well as look at square numbers.I will also look at numbers that are both triangular and pentagonal.
30	R5	Cummings	Diwani	#10 The relationship between the number of lines connected to the points of intersection in a figure and the tracibility of that figure.
31	R5	Estrada	Stephanie	#8 How many path are there from A to B? I will generalize using rectangles with larger dimensions.
32	R5	Finkel	Leo	What functions can be developed to determine any term of Pascals triangle, given its position?
33	R5	Gross	Bryan	What are the differences and similarities between function composition in Mathematics and function composition in Computer Programming?
34	R5	Harviandy	Marchellino	Explore the use of calculus in archery
35	R5	Hossain	Salman	Each star in the expression 123...2001 represents a plus or minus sign. Can the signs be chosen to make a positive number less than 5? Same question for the expression squared?
36	R5	Kelly	Charles	#17 evenland, what can we generalize about the properities of numbers in evenland. What if there was an oddland what could we generalize about those numbers?
37	R5	Khan	Mahmood
38	R5	Khatoon	Firdaus	Exploration of math used in different methods to determine stellar distances "?"
39	R5	Mabey	Leah	Given the many possible combinations of subway transfers, what is the optimal route to travel from 96th street to Brooklyn Latin in the shortest time?
40	R5	Shajahan	Sayem	#28, How could we generalize the motion of Fred and Frank, and how do they show whose faster?
41	R5	Singh	Manpreet	The role of Logarithims and mathematics in magnitudes of Earthquakes
42	R5	Singh	Tony	#5 How many ordered pairs of positive integers (a,b) are there, such that a^(1/2) + b^(1/2) = 2500^(1/2)
43	R5	Sulkowski	Lukasz	#25 using lines to form squares, and I will generalize to include n squares and m lines as well as look at what happens when you can make more squares within a square.
44	R5	Williams	Yasmin	#13 An exploration of the similarities in the geometric configurations of squares and triangles using the application of the Pythagorean Theorem to squares
45	R5	Wu	Dana	#33 Using squared paper to find how many grid squares are touched by the diagonal of a rectangle, I will generalize to include rectangles of various dimensions.
46	R5	Ye	Nancy	Is the golden ratio present in the human body?
47	R5	Yu	Andrew	An exploration of pythagorean triples. What are the relationships between primitive, non-primitive pythagorean triples, and each side that makes a triple? Is there a formula to find a primitive triple?
48	R5	Zephyr	Davele	#23 In how many different ways can any given number can be expressed as a sum of conecutive positive numbers. I will generalize this by classifying which type of numbers can be expressed as the sum of two or more consecutive positive integers.
49	R5	Zhang	Jia Xiang	Question 38. Count how many equilateral triangles there are in an eight-folded equilateral triangle. How can the appliance of sequences help in counting how many triangles there are in an eight-folded equilateral triangle?
50	R6	Alam	Muhammad
51	R6	Cabrera	Christian	Why do logical errors occur in math proofs?
52	R6	Chen	Mandy	How to calculate the distance from Moon to the Earth within the accurate order of magnitude using a coin and basic trigonometry?
53	R6	Chintakunta	Ani	Why is an object that is thrown follow a parobolic path? projectiles and trajectories
54	R6	Dhiman	Saheb	52. A sphere of ice cream is inserted in and held by a cone. What radius of the sphere will have the maximum amount of ice cream inside the cone for a given cone angle?
55	R6	Dinsae	Stephanie
56	R6	Fofana	Fatumata	How can we differentiate when a person falls off a cliff from when a person is pushed off of a cliff through the use of physics and calculus?
57	R6	Gabr	Adham	Solving and breaking down the frog problem. Is there an equation that drives all variations of the problem? How are they related to each other?
58	R6	Hayat	Abul	How does the angle in which a football is thrown affect its maximum height and distance?
59	R6	Janjua	Arslan	Are there an infinite number of primitive pythagorean triples? Can they be defined by a single equation? What is that equation?
60	R6	Joseph	Charles	Physics/Mathmatics vs. skateboarding: how does the angle at which the tail of a skateboard is curved affect its overall performance. how does the area of the tail of a skateboard affect how high a pop is. the change in forces on the board while in motion. How do the rotatons affect the out come of a trick when they are multiple rotations on one axis.
61	R6	Kang	May	Solve the shortest distance between two points and one line using algebra and geometry.
62	R6	Karim	Sabab	How is the throw of a quarterback affected by trignometry, vectors, and kinematics?
63	R6	Lin	Darren	Combinatorial Game Theory (How are vectors used in video games?)
64	R6	Lin	Peter	How do circles and the number of folds play a role in Origami?
65	R6	Lu	Minden	Quantify how surface area affects the air resistance on an object?
66	R6	Molano	Luisa	Relationship of logarithms and exponents in Arrhenius Equation
67	R6	Nau	Graham	#26- Handshake Problem
68	R6	Ojilere	Stephenie	How does trignometry (specifically sine graphs) explain the interaction & interference of sound waves?
69	R6	Paudel	Sandesh	An exploration of what e is.
70	R6	Perez	Bel	What makes a graph Eulerian or Semi-Eulerian? poo
71	R6	Podder	Lucky	I will generalize number 19 by using excel to graph the relationship between the triangle/pentagon number and the number of dots in order to find a explicit formula.
72	R6	Qamar	Shabnam	What math applies to Music?
73	R6	Rahman	Mohammed	Finding location of planets on their orbitals with reference to Keplers law. ayyy ;)
74	R6	Shadded	Ali	When a basketball is shot, how does its trajectory and geometry affect the chance of making the shot?
75	R6	Waiters	Nairobi	How is probability used to achieve success (inclusive of changing bet/card counting) in the game of blackjack?
76	R6	Wu	Xuelin	The Tower of Hanoi. How long will it take to successfully move 64 disks from one pole to another?
77	R6	Yang	Eric	How does changing the speed and angle of the cue ball successfully propel the target ball into a pocket?
78	R6	Zwierzynski	Patrick	#19 Triangular Numbers. Will generalize this for n-shaped numbers in two and three dimensions. Notice trends between their respected explicit formulas, etc.
79	R9	Ali	Mohammed
80	R9	Alcide	Arvin	How does distance from a basketball hoop affect the angle that the ball has to be shot at?
81	R9	Alexander	Zanda	The use of exponential functions to determine the mass of carbon remaining after a number of years
82	R9	Banh	Stacey	exploring math in stadiums: c-values, sightlines, the effectiveness of different shapes of stadiums
83	R9	Barron	Welston	#19 I will generalize by finding the formula to find the numbers of dots for all shapes.
84	R9	Bhatti	Jafar	How do Trigonometry and Kinematics play a role in Tsunamis?
85	R9	Chen	Ronda	How does the velocity of an object impact the density of the air around it?
86	R9	Das	Manisha	Invesigation and generalization of operations in numbers of different bases.
87	R9	Debi	Poli	#34 Secret Triangle (Arithmagons); Extension: Different shapes; Will observe trends and differences between shapes.
88	R9	Elshendidi	Hossam	How does the velocity of an object affect the density of the surrounding air?
89	R9	Fair	Fayola	How does median income level of an area affect the number of stops and frisks done in the area?
90	R9	Holder	Raphael	Relationships in numbers
91	R9	Igusti	Dena	How does probability play a role in Criminology?
92	R9	James	Donovan	Medieval European Multiplication
93	R9	Kaur	Jasmeet	How is kinematics and trigonometry used by figure skaters on ice?
94	R9	Kong	Danny	Is there a statistical preference for one type in competitve Pokemon battling?
95	R9	Kulenovic	Aldin	Is there any statistical significance between team offensive and defensive efficiency and making the NBA playoffs?
96	R9	Mallari	Keri	An exploration on symmetry in flexagons.
97	R9	Munn	Sofia	What is the relationship between the revenue of a professional soccer team and their standing?
98	R9	Nawshad	Syed	An exploration of first order differential equations in populations
99	R9	Nishimura	Lisa	How can we calculate the force of a kick and how can we apply this to finding the minimum amount needed to break wood?
100	R9	Ochiaga	Henry	Paradoxies