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What we do:	Upcoming Workshop:
The Math Help Centre is a free service offered by the Department of Mathematics for all first year students to get help with mathematics. Located at 412 Machray Hall, the help centre is staffed by graduate students with a passion for teaching. You can come to the help centre if you have specific questions you wish to ask one of our tutors, or you can just come and use it as a study space with help on hand should you get stuck. Either way, bring your notes and your brains and come get help with those problems you've been stuck on!	Optimization, Nov 26, 27, 28, 29 ^th

What we do:

Upcoming Workshop:

The Math Help Centre is a free service offered by the Department of Mathematics for all first year students to get help with mathematics. Located at 412 Machray Hall, the help centre is staffed by graduate students with a passion for teaching. You can come to the help centre if you have specific questions you wish to ask one of our tutors, or you can just come and use it as a study space with help on hand should you get stuck. Either way, bring your notes and your brains and come get help with those problems you've been stuck on!

Optimization, Nov 26, 27, 28, 29 ^th

Time	Monday	Tuesday	Wednesday	Thursday	Friday
9:00 - 10:00	Alex Elaine	Elaine Sergei	Alex M. Sadeghi	M. Sadeghi Waweru	Emmanuel Sarah
10:00 - 11:00	Alex Avleen Ruoxin	Aidin Emmanuel Sergei	Alan M. Sadeghi Ruoxin	Aidin Farzaneh M. Sadeghi	Yungang Ruoxin Sarah
11:00 - 12:00	Avleen Max Sergei	Aidin Babak Sahar	Deokro Eugene Yungang	Alan Babak Farzaneh	Alan Avleen Sergei
12:00 - 1:00	Atika Sergei	Babak Tessa	Elaine Eugene	Suraj Tessa	Alan Suraj
1:00 - 2:00	Aidin Sergei	Alex Irshad	Ian Yuanchao	Atika Olena	Yuanchao Eugene
2:00 - 3:00	Kelsey Sooyeong	Irshad Sooyeong	Emmanuel Yuanchao	Atika Olena	Yuanchao Eugene
3:00 - 4:00	M. Sadeghi Sooyeong	Emmanuel Olena	Yuanchao Olena	Sergei Olena	Emmanuel M. Shirazi
4:00 - 5:00	Kyrylo Sergei	Kyrylo Olena	Aidin Ian	Sergei Xiaohong	Sehaj Yungang
5:00 - 6:00	Kyrylo Sergei	Babak Deokro	Babak Avleen	Alan Xiaohong	Sehaj Yungang

	Sooyeong Kim I am from South Korea. My research area is in combinatorial matrix theory. I have been a T.A. for MATH 1210, MATH 1220, MATH 1300, MATH 1500, MATH 1520 and MATH 2020. I most enjoy teaching MATH 1210, 1300, 1500 and 1520.
	Babak Iran Doust-Azar My name is Babak and I have come from Iran to pursue my Master's degree of at U of M. My previous research was in frame theory. In this university, I will be working with Prof. Clouatre on operators. I have taught in my country both in university and in high schools.
	Alan Mauricio Pasos Trejo I'm from Mexico, actually Mexico city. My interests in mathematics are in logic and algebra. I am currently a T.A. for MATH 1300.
	Xiaohong Zhang I am from China. I have been at T.A. for MATH 1300, MATH 1500 and MATH 1700.
	Avleen Kaur My research interests are numerical analysis, partial differential equations, and scientific computing. I earned my M.Sc. in mathematics degree from the University of Manitoba and my M.Sc. in mathematics and scientific computing degree from MNNIT Allahabad, India. I have been at T.A. for MATH 1210, MATH 1500, MATH 2140, MATH 2160 and MATH 2080. I most enjoy teaching MATH 1210, 1300, 1510, 1700 and 1710.
	Aidin Zaherparandaz I am from Tehran, Iran. I am an M.Sc. student in mathematics and my research is in partial differential equations. I have been a T.A. for MATH 1210 and MATH1500. I most enjoy teaching MATH 1010, 1020, 1210, 1300, 1500, 1510, 1520, 1700 and 1710.
	Kyrylo Muliarchyk
	Irshad Ayoob I am from Kashmir, India. My research interests lie in geometric topology. I hae been a T.A. for MATH 2180. I most enjoy teaching MATH 1210 and 1500.
	Yungang Liang
	Olena Usoltseva I come from Ukraine. My research interest is in approximation theory, and I have three years experience of teaching at Kiev National University I have been a T.A. for MATH1210, MATH1500, MATH1700 and MATH2080. I most enjoy teaching MATH1210 and MATH1700.
	Mohammad Shirazi I'm Iranian and I started my Ph.D. in Canada in 2015. I'm currently working on complex analysis and Reimann surfaces. I love pure mathematics and talking about math in any point of view. Click here to visit my personal website. I have been a T.A. for MATH1300, MATH1500 and MATH1700. I most enjoy teaching MATH1300, 1500, 1510, 1520 and MATH1700.
	Mohammad Sadeghi I am from Iran. My research area lies in operator theory and complex analysis. I have been a T.A. for MATH 1500, MATH 1210 and MATH 1230. I most enjoy teaching MATH 1210, 1230, 1300, 1500, 1510 and 1520.
	Tessa Reimer I am an undergrad at the U of M, in second year. I did an NSERC summer research project in math last summer. I have been at T.A. for MATH 1500, MATH 1700, MATH 1240 and MATH 1300. I most enjoy teaching MATH 1230, 1240, 1300, 1500 and 1700.
	Elaine Herrera I am an undergraduate student in the third year of the math honours program. I have been at T.A. for MATH 1240, MATH 2030 and MATH 2070. I most enjoy teaching MATH 1240 and 1500.
	Ian Thompson I am an undergraduate student at the University of Manitoba who just really loves math! I have been at T.A. for MATH 1010, MATH 1300, MATH 1500 and MATH 1520. I most enjoy teaching MATH 1010, 1240, 1300 and 1520.
	Sarah Nataj My research area is numerical analysis, containing numerical methods for solving nonlinear systems, optimization techniques and spectral methods for PDEs. I have been a T.A. for MATH 1500, MATH 1210, MATH 1300, MATH 1700, MATH 1710, MATH 1510, MATH 1520, and MATH 2160. I most enjoy teaching MATH 1210, 1300, 1500, 1510, 1520, 1700 and 1710.
	Eugene Bilokopytov My name is Eugene, I am from Kiev, Ukraine. My research area is mainly Functional Analysis, but I occasionally deal with problems from General Topology, Complex Analysis, Linear Algebra and Differential Geometry. I have been a T.A. and/or instructor for MATH 2720, 1300, 1210, 1300, 1500, 1520, 1700, 1710, 2040, 2080, 2090, 2150.
	Max Gutkin I'm a math/computer science student, although I really enjoy math. My main interests are combinatorics and graph theory, areas that are both introduced in MATH 1240. I've received an undergraduate research award and spent the summer doing research in graph theory. My research concerned burning numbers of graphs, specifically trees and hypercubes. Other than math, I like cars and DnD. I have been a T.A. for MATH 1300, MATH 1520, MATH 1010. I most enjoy teaching MATH 1300, MATH 1240, MATH 1500, MATH 2030, MATH 2090, MATH 2070.
	Sergei Tsaturian I come from Kyiv, Ukraine and my research area is combinatorics (extremal graph theory, discrete geometry). I have been a T.A. for MATH 1210, 1230, 1240, 1300, 1500, 1700, 1710, 2030, 2080, 2130, 2132, 1520 and 2140.
	Emmanuel Appiah-Kubi My name is Emmanuel Appiah-Kubi and I come from Ghana. I'm a new grad student and my research area is differential equations and numerical solutions. It's a pleasure to help fellow students.
	Suraj Srinivasan I'm from Winnipeg and did my undergraduate here at the U of M in the joint math-physics program. My research area is currently in Ramsey theory but I've previously done work in computational astronomy and on abstract field spaces. I appreciate wordplay and enjoy finding ways to end sentences with pun-ctuation. I have been a T.A. for MATH 1500. I most enjoy teaching MATH 1500, 1240, 1300, 1700.
	Syeda Atika Batool Naqvi I'm from Pakistan. I've completed my BS Mathematics (4 years) and M.Phil. Mathematics (2 years) from Pakistan with distinctions (Gold medals). My BS final year research project title was “On Some Topics in Geometric Functions Theory”. And my M.Phil. thesis title was "MHD Stagnation Point Flow of a Nanofluid over an Exponentially Stretching Sheet with Mixed Convection". After that I went to Germany and spent 1 year doing research(internship) on global models for fingerprints at Georg August University, Goettingen. My current supervisor is Dr. Leo T Butler. I have been a T.A. for MATH 1500 and MATH 1300.
	Farzaneh Jannat I have been a T.A. for MATH 1010, 1300, 1500, 1510 and 1700. I most enjoy teaching MATH 1010, MATH 1020, MATH 1300, MATH 1500, MATH 1510, MATH 1700.

Three dogs, Beethoven, Lassie and Skip, are sitting at corners of an equilateral triangle of side 15m in a park. Simultaneously, Beethoven starts walking towards Lassie, Lassie starts walking towards Skip and Skip starts walking towards Beethoven. If all dogs are walking at the same speed of 1m/s, how long does it take for all dogs to meet?

Answer: 10 seconds

There are 63 coins, all identical in appearance, and all identical weight, except one coin that is slightly heavier that the others. Three men wish to identify the heavy coin from the 63 using a peculiar set of pan scales. These pan scales have three pans places symmetrically about a central pivot point. The only function of the scales is that if two pans carry a load of equal weight and the third pan carries a load of different weight, then the movement of the scales indicates whether the different weight is heavier or lighter than the other two weights.
Each of the three men must perform one weighing of a selection of coins without the other two men witnessing the result of the weighing. Beforehand, the men can plan a strategy, and after the weighings, they can regroup and compare their results. Is there a strategy such that when the men regroup, then can identify the heavy coin?

Answer: The first man takes 48 of the coins and place 16 on each pan. If all pans weigh the same, he concludes the heavy coin is one of the 15 remaning, so he puts the 48 aside, and leaves the 15 for the next man. If one of the pans is heavier than the others, the first man leaves the 16 coins on the heavy pan for the next man and puts the rest aside. The next man takes 12 of either the 15 or 16 coins depending on the result of the first weighing. He places 4 on each scale. If all pans weigh the same, he leaves the three (or 4) remaining coins for the next man to weigh. If one of the pans weighed more, he leaves the coins from that pan for the third man. The third man now has either three or four coins to weigh. If there are three, he places one on each pan and finds the heavy one. If there are four remaining, he places one on each pan. If one of the pans is heavier then the coin on that pan is the heavy one. If they weigh the same, then the one he didn't weigh is the heavy one.

A tennis tournament with n players is held. All the players are paired up and play one game. The winner goes through to the next round. If the number of players in any round is odd, then one randomly chosen player gets to skip the round and play in the next round. This system continues until someone wins the tournament. How many games are played in total in the whole tournament?

Answer: There is a one-to-one correspondence between the number of players who lose a game and the number of games played. Since each player loses exactly one game (except the winner), n-1 games are played.

Runner A, runner B and runner C all run a 100m race. Runner A finishes 10m ahead of runner B. Runner B finishes 10m ahead of runner C. How far ahead of runner C does runner A finish?

Answer: 19m. If runner A finishes 10m ahead of runner B, then runner B is running 9/10 the speed of runner A. Likewise, if runner B finishes 10m ahead of runner C, then runner C is running 9/10 the speed of runner B. Therefore if runner A is running at x m/s, runner B is running 9x/10 m/s and runner c is running 9/10*(9x/10) = 81x/100m/s. Therefore, runner C is running 81/100 times the speed of runner A. When runner A has finished the race (i.e., he has ran 100m), runner C has ran 81m, so he is 19m behind runner A.

Mathematics Help Centre