UI Math Contest Open House September 6, 2017 Math Contests at Illinois Overview Sample Contest Problems

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Math Math www.math.illinois.edu/contests.html UI Math Open House September 6, 2017

Math Coaching Team Math Prof. A.J. Hildebrand ajh@illinois.edu Prof. Timur Oikhberg oikhberg@illinois.edu

Mailing List and Math Survey Math Mailing List: To receive announcements about upcoming activities, send an email with your NetID and Subject Mailing List to ajh@illinois.edu Math Survey: If you have not done so already, fill out our online survey: http://go.illinois.edu/mathcontestsurvey

UI Math Program: Math Three national/international contests each year:, Virginia Tech Math, /ICM. Three local math contests each year: UI Freshman, UI Mock Exam, UI Undergraduate Math. Extensive program of contest training: sessions offered throughout the fall semester at beginner and advanced levels. Master classes in the spring. UI Mailing List: Email ajh@illinois.edu UI Math Webpage: Google Math www.math.illinois.edu/contests.html

UI Math Participation Levels Math

Math Activities: Fall Events Math UI Freshman Math (added in 2011) (Saturday, Sept. 16, 2017, 10 am - 12 pm, 314 Altgeld) UI Mock Exam (added in 2008) (Saturday, Sept. 16, 2017, 1 pm - 4 pm, 314 Altgeld) Virginia Tech Math (added in 2013) (Saturday, Oct. 21, 2017, 9 am - 11:30 am, 314 Altgeld) Exam (held annually since 1938) (Saturday, Dec. 2, 2017, 9 am - 5 pm, 314 Altgeld) sessions (expanded in 2013) (Wednesdays, 5 pm - 6:30 pm and 6:30 pm - 8 pm, 141 Altgeld) First session: Wednesday, September 13

Math Activities: Spring Events Math Mathematical/Interdisciplinary in Modeling (/ICM) (added in 2013) (Feb. 8 12, 2018) UI Undergraduate Math (held since the 1970s) (Saturday, Feb. 3, 2018)

Math UI Freshman Math 2011 Find the 2011th digit in the number 0.12345678910111213..., obtained by writing the natural numbers next to each other. UI Freshman Math 2012 Determine, with proof, whether there exists a power of 2 whose decimal representation ends in the digits 2012. 2012 Let d 1, d 2,..., d 12 be real numbers in the open interval (1, 12). Show that there exist distinct indices i, j, k such that d i, d j, d k are the side lengths of an acute triangle. For solutions and more sample problems, see the Math Website, www.math.illinois.edu/contests.html.

The : Saturday, Sept. 16 10 am 12 pm and 1 pm 4 pm, 314 Altgeld Math 10 am 12 pm: Freshman Math Entry-level math contest. Restricted to UIUC Freshmen and high school students. Up to $300 in prize money No prerequisites beyond high school math. 12 pm 1 pm: Lunch/Pizza 1 pm 4 pm: UI Mock Exam Similar to contest, but a bit easier, and shorter. Open to UIUC Undergraduates and high school students. PRIZE MONEY: Up to $300 in for each contest. Rules: Same as for and similar contests: No calculators, notes, books, etc. REGISTRATION: Online registration for both contests at: go.illinois.edu/mathcontestregistration

Fall Math : Recent winners Math 2016 Freshman Math : First Prize: Mark Cao ($300) Second Prize: Zhekun Zhang ($200) Third Prize: Ki Wang ($100) 2016 Mock Exam: First Prize: Phillip Harris ($300) Second Prize: Ki Wang ($200) Third Prize: Thien Le ($100) 2015 Mock Exam: First Prize: Haidong Gong ($300) Second Prize: Zehan Chao ($200) Third Prize: Yewen Fan ($100) 2014 Mock Exam: First Prize: Haidong Gong ($300) Second Prize: Yifei Li ($200) Third Prize: Zhaodong Cai ($100)

: Wednesdays, 5 pm - 8 pm Math Levels: Beginner level: For those new to math contests no experience or specific background needed. Advanced level: For experienced contest takers. Tentative schedule: Wednesdays, 5:00-6:30 pm (beginner) and 6:30 pm - 8:00 pm (beginner and advanced), 141 Altgeld, beginning September 13. Pizza at around 6:30 pm. topics: Binomial coefficients, congruences, inequalities, generating functions, proofs by induction. Format: The sessions are informal, and largely independent of each other. No registration required just show up! session materials: posted at http://www.math.illinois.edu/contests.html

Math Exam: Saturday, Dec. 2, 2017. World s toughest math test Most prestigious college-level math contest. 12 problems, to be solved in 6 hours. Around 5000 participants each year nationwide, with 20-30 from UI. Registration opens in late September. Virginia Tech Math, Saturday, Oct. 21, 2017. A -style contest for undergraduates Modeled after, but easier and shorter. 7 problems, to be solved in 2.5 hours. Around 700 participants each year nationwide, with 20-30 from UI. Registration opens in late September.

: Recent UI Scorers Math 2015 Exam: Haidong Gong (22/4275) (top 0.5%, $250) Zehan Chao (200/4275) (top 5%) Qile Zhi (273/4275) (top 7%) UI Team Rank: 9/554 (Honorable Mention) 2016 Virginia Tech Math : Weiru Chen (29/674) (top 5%) Zhaodong Cai (59/674) (top 9%) Zhihan Xiong (59/674) (top 9%) 2015 Virginia Tech Math : Haidong Gong (13/700) (top 2%) Yifei Li (13/700) (top 2%) Yuchen Li (17/700 (top 3%)

Top three teams on the Math 2016: Carnegie Mellon, Princeton, Harvard UIUC Team Rank: 41 2015: MIT, Carnegie Mellon, Princeton UIUC Team Rank: 9th (Honorable Mention) 2014: MIT, Harvard, Rensselaer Polytechnic UIUC Team Rank: 14 2013: MIT, Carnegie-Mellon, Stanford UIUC Team Rank: 41 2013: MIT, Carnegie-Mellon, Stanford UIUC Team Rank: 22 2012: Harvard, MIT, UCLA UIUC Team Rank: 49 2012: Harvard, MIT, UCLA UIUC Team Rank: 17

The at MIT Math Students taking the at MIT (held in a gymnasium).

(Math Modeling ) Math (Math Modeling ), Feb. 8 12, 2018 International team contest in mathematical modeling. Over 7000 teams participate each year Each team must analyze, model, and solve a real-world problem, and write a paper on it all this in 96 hours! A team consists of three undergraduates from the same university. The team must be registered by a faculty advisor. (We can take care of this.) Award Designations: Outstanding Winner (1%) Meritorious Participant (8%) Honorable Mention (34%) Successful Participant (55%)

: UIUC Team Performance Math 2014 /ICM : 2 UIUC Teams 2 Successful Participants 2015 /ICM : 4 UIUC Teams 4 Honorable Mentions 2016 /ICM : 9 UIUC Teams 3 Successful Participants 5 Honorable Mentions 1 Meritorious Participant 2017 /ICM : 11 UIUC Teams 5 Successful Participants 4 Honorable Mentions 2 Meritorious Participants

Next Steps Math If you have not done so, sign up for Mailing List: Send email with your NetID and Subject Mailing List to: ajh@illinois.edu If you have not done so, fill out Math Survey: http://go.illinois.edu/mathcontestsurvey Register for Fall Math (Sept. 16): http://go.illinois.edu/mathcontestregistration Attend : First session: Wednesday, Sept. 13, 5 pm - 8 pm, 141 Altgeld. You can come any time during this period. No registration required.

Math UI Math Website: www.math.illinois.edu/contests.html (Or google Math ). Books/training materials: See the section at Math Website. Most are available on course reserve in Math Library. : The Math website has an extensive collection of past contests, with solutions. Session Handouts: Materials will be posted online at the Math website within a week of the training session.

Math Illinois Geometry Lab. http://www.math.illinois.edu/igl. Semester-long undergraduate research projects in Geometry, Probability, Number Theory, Calculus, Algebra, and other areas. IGL Kickoff meeting: Thursday, September 7, 5:15 pm - 6:30 pm, 245 Altgeld Hall. PiMuEpsilon. Honors Society. http://www.math.illinois.edu/pme. MATRIX. A local math club. http://www.math.illinois.edu/matrix

Math THANK YOU! Hope to see you at the training sessions and/or the Fall Math