Module 3: Combinatorics Tools
Focusing on Combinatorics topics which are not taught in depth in school, but appear in the math competition curriculum, energized by our innovative approach to math.
From Students Who Took This Course
“This is definitely one of the best math courses available. Prof. Loh explains the topics in a detailed way, and makes it fun.”
“This is definitely one of the best math courses available. Prof. Loh explains the topics in a detailed way, and makes it fun.”→Read Less
“This is an awesome course.”
“This is an awesome course.”→Read Less
“The video explanations are crystal clear and the challenges are fun. 5/5 would do again.”
“The video explanations are crystal clear and the challenges are fun. 5/5 would do again.”→Read Less
“I think that this course was an excellent tool to “skim the surface” in the world of Combinatorics!”
“I think that this course was an excellent tool to “skim the surface” in the world of Combinatorics!”→Read Less
“It tells every way to solve a problem and for problems, you get a turn to solve and get hints!”
“It tells every way to solve a problem and for problems, you get a turn to solve and get hints!”→Read Less
“such big brain”
“such big brain”→Read Less
“T A L L B R A I N”
“T A L L B R A I N”→Read Less
This course is for students who are looking for a fun, challenging, and systematic introduction to the fascinating world of Combinatorics, which is not covered in depth in most school curricula, but which appears throughout middle and high school math competitions. This course will give you the main tools you need, in one month. To take this course, students should have successfully completed our Module 1: Algebra Basics course, or have skipped over it due to prior background.
This course will be understandable by anyone with a solid background in Pre-Algebra, and the willingness to concentrate on a single math problem for several minutes. At the same time, even high school students (who have not yet taken classes outside of school in Combinatorics) will learn a significant amount.
Still not sure if this is the right course? Feel free to contact us at email@example.com to discuss.
The best way to build creative thinking skills is to play with challenging new problems every day, especially those for which you don’t know how to start. This course, which can be finished in 1 month, constitutes of 16 Daily Challenges and 4 Weekly Challenges. Each Daily Challenge has two related math problems and their explanations. Don’t worry if they look unfamiliar. Just use the whole time during the problem videos (and hints) to think. You’ll get to invent your own strategies, which is the fun part!
Even if you figure out how to do a problem yourself, watching its explanation video is still very beneficial. It will show multiple interesting ways to do the problem, and introduce deeper ideas in math using everyday language. This brings advanced math down to earth.
There is only one practice problem in each Daily Challenge (the “Your Turn” problem), and there aren’t any homework problems. This is because the way to learn how to solve the widest variety of problems is to learn how to invent your own solution methods! So, we encourage you to solve new problems all on your own instead of working on repetitive exercises. You’ll spend the same time on fewer problems, every one of which needs fresh creativity.
After every four Daily Challenges, we revisit the topics (with some twists), through a Weekly Challenge problem set that lets you focus uninterrupted for 40 minutes, on a variety of specially designed questions. After doing the problems, please read the explanations, even for the problems you solved. There are a lot of fun math coincidences and insights hidden in the problems.
We recommend pacing the course so that you can play with this flavor of mathematical thinking for a bit of time almost every day.
The standard pace is to pick four days each week for four Daily Challenges, plus one hour on the weekend for the Weekly Challenge. If you think this pace is not challenging enough, feel free to double the pace, so that you can finish eight Daily Challenges and two Weekly Challenge each week.
Note: This course is valid for 365 days after the purchase date. You can check the course expiry date in "My Account" → "Order History".
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