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!
Laws of Logic and Rules of Inference, Sept 24, 25^{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
Ievgen
Yungang
Alan
Babak
Farzaneh
Alan
Avleen
Sergei
12:00 - 1:00
Atika
Sergei
Babak
Tessa
Elaine
Ievgen
Suraj
Tessa
Alan
Suraj
1:00 - 2:00
Aidin
Sergei
Alex
Irshad
Ian
Yuanchao
Atika
Olena
Yuanchao
Ievgen
2:00 - 3:00
Kelsey
Sooyeong
Irshad
Sooyeong
Emmanuel
Yuanchao
Atika
Olena
Yuanchao
Ievgen
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
In each of the following workshops, we will be tackling problems that aid understanding of the topic, and problems that are commonly found on midterm and final examinations.
Each workshop starts with a (roughly) 20 minute demonstration, with time in the middle for students to attempt the problems and ask questions if/when they get stuck.
The problems that caused students the most difficulty are then demonstrated for the last 20 minutes.
These workshops are totally free, and all first year students are welcome to attend as much or as little of the workshop as they wish.
Comments or suggestions for these workshops are welcome -- just send an email to the MHC (MathHelpCentre@umanitoba.ca) and your comments will be considered.
Logic Sept. 24th^{th}, 1:00pm-2:00pm. Sept. 25th^{th}, 1:30pm-2:30pm.
This workshop will be relevant to students in MATH1240. In this workshop, we'll be looking at a large number of questions from old exams on the topic of logic.
SEATING IS LIMITED, SO ONLY STUDENTS WHO HAVE FILLED OUT THE ONLINE FORM MAY ATTEND.
Both of the above workshops will be the exact same, so each student may attend only one.
Here are some additional resources you may find useful:
Desmos graphing calculator - This is a very useful website for graphing functions. It's fast and easy to use.
Wolfram|Alpha - Wolfram|Alpha can do just about anything you would want it to do. Calculate a derivative, find roots of a massive polynomial. It doesn't plot functions as nicely as desmos, but it's fantasic for just about everything else - and not just mathematics. Ask it whatever question you like and it can usually find you an answer.
mathcentre - This website has short teaching worksheets on a variety of topics. For example, this worksheet can be found in the chain rule section of the differentiation tab and has a massive number of practise questions.
Khan Academy - Khan Academy has good video content for a lot of different subjects.
Codeacademy - If you want to learn to code, try this website. As a side note, if you're going to teach yourself to code try to come up with some kind of mini-project to work on as you learn. It will give your learning more of a purpose and make it more enjoyable.
LevelUp - LevelUp is an online course on UMLearn developed by members of the math department as a supplement for anyone wishing to brush up on their pre-calculus math skills. There are tutorial videos, exercises and quizzes to test your understanding of a variety of pre-calculus topics.
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.