Math skills you ACTUALLY need

Which math skills do I actually need in life? How much math do I need for business? How much math do I need to start a startup? What math skills do I need to work in finance, as a trader or quantitative analyst? How much math do I need to work in data science and machine learning? How good at math do I need to be to work as a scientist or researcher? These are all questions I address in this video!

▬ In this video ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
In part one of this video, I talk about which math skills from elementary school (grades 1-5) middle school (grades 6-8), and high school (grades 9-12) you need to know, regardless of what you want to do in your life. I give a few example problems to demonstrate the difference between "knowing" something about math skills, and actually "understanding" them. The point is: it's more important to be really good at applying some math skills than learning very advanced math skills which you don't really know how to use.

In part two of this video, I talk about college and university-level math. Instead of going through all the different courses, I talk about what is relevant if you want to go into one of the following careers:
- Business and Entrepreneurship
- Finance (Trading and quantitative analysis)
- Machine Learning and Data Science/data analytics
- Science and Research

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This video was sponsored by Brilliant

▬ Timestamps ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
0:00 - Intro
1:46 - Part 1: Grades 1 to 5 (elementary school)
2:29 - Grades 6 to 8 (middle school)
7:27 - Do you understand math intuitively? (example problem)
10:55 - Should I use a calculator?
12:08 - Grades 9 to 12 (high school)
16:22 - Part 2: University math
17:29 - Math for business and startups
19:45 - Math for finance (traders and quants)
21:13 - Math for machine learning and data science
23:14 - Math for scientists and researchers

[MrKrtek]

Fun fact: probability and statistics is one of the most neglected topic in education. Even mathematicians and science guys are generally very bad at it and fall for basic biases.

[Skylla]

I am 29 and Math didn't hurt to learn.
English didn't hurt. Ethics didn't hurt, sports, didn't hurt, Biology didn't hurt, rhetoric didn't hurt...
I learned, I dont't know what I will need so I just take everyhting what comes along.
If I need something now, I buy a Udemy course, buy a book, ask/find a friend.

This year I wrote some shaders/computerGraphics.
Who had thought that understanding dotProduct, would allow me to color a 3D Object and that I ever encounter a situation where I need it. I didn't. After school I learned shoemaking😅

[gokucrafter]

EXACTLY what's in my head. In my country(Viet Nam), everyone including teachers thinks of English as more of a subject (where you have to remember the grammar formulas and stuff like that to be good )than, a tool or a language that is beneficial for their own uses. Once my head teacher asked why I didn't choose an English and science-focused class (where we focus on those subjects to have a higher score on university entrance tests, not actually focusing on learning the subject itself)but chose a math science class, and even though I tried to explain that I love science and being good at English is a huge helping factor in learning science, my teacher and classmates still can't understand why I have such a decision. Another time, when my class struggled with an integral problem, one of my classmates solved the problem with a wrong method that is not true with the properties of the integral but luckily have the correct result, and my math teacher, although agrees with me, decide to move on, knowing that students would just gonna memorize the step, and not the underlying stuff itself. It's kinda sad.

[barisakdogan]

I agree mastering probability and statistics is probably the most important type of math in real world. However, most colleges only offer 1 course on it as a CSC student.

[monsieurLDN]

Amzing video Samuel! Have you made a video on how you developed your communication and networking skills ? Its very impressive to me that in almost any video I watch from you, you manage to have friends in many diverse fields

[afcsport]

He’s Back!!!! And reminding me of how much I love social statistics and fear linear algebra.

[angelikabosch]

So great! Hi should have heard all this some years earlier

[bienea]

Thank you for explaining this thoroughly!

[tanmayjyothis]

Found your videos super useful. Thank you

[Wllbam]

Really enjoying these videos, one thing I'm curious about is you mentioned if someone would be interested in trading/quant trading for a firm, doing math competitions was recommend, why is this? I guess I can see personally that there are some general skills/changes in mentality in regards to working on hard and new problems you haven't seen before, like instead of using formulas as in high school, you rewrite the problems you're given into easier problems, and or break it into logical sequences that might make it solvable, this is something I only truly understood after doing so many problems, but these things are more of a mentality thing right? (also going from knowing what to do, to having no idea at all) <=> (going from spending 3 minutes per problem to multiple hours per problem) and being completely comfortable with this at the same time

[konstantinkuletski]

This channel deserves more, only 100 views so far? This is something very useful. You should be on trending, but I guess not many people have realized it.

[paulgwydyon]

Sehr gutes Video! Mir hat Mathe immer gut gefallen. Auch wenn ich den Großteil nie mehr brauchen werde, denke ich trotzdem, dass mir die Übung abstrakte Probleme zu lösen noch sehr oft helfen wird.
Es wäre wirklich super, wenn du noch ein Video zum Thema Wissenschaftliches Arbeiten machen könntest. Das mach mir nämlich leider nicht so viel Spaß wie Mathe :)

[miro_gra]

Super Video und das ist gleichzeitig auch meine Entschuldigung das ich es jetzt erst gesehen hab. Ich hab in letzter Zeit echt viel zu tun und bin auch noch in Australien wo die Videos immer so 23 Uhr erst online kommen. I'm sry🥲. Aber wie gesagt hammer video ung Glückwunsch zu den 30k der Kanal hat das aber auch mehr als verdient💪

[Till]

I wish I had watched this video during my school days. Great Job. Fun question: What size you need to buy your polo's and shirts? :D

[benqurayza]

I use algebra to balance my checkbook. Also, math skills are good for citizenship as well as for one's line of work. As a citizen, I need to evaluate the competing claims of politicians and bureaucrats and decide who is more competent or honest. If I am elected to the town council or state legislature, I need to create or evaluate budgets and evaluate the claims of our experts. In real life, I questioned the discounted cash flow analysis for a proposed state park project and changed the course of history.

[JGKorny]

There are a number of math skills that are considered important for success in both school and everyday life. Some of these skills include:

Basic arithmetic: This includes skills such as addition, subtraction, multiplication, and division. These skills are fundamental to understanding more advanced math concepts.

Algebra: Algebra involves using variables to represent unknown quantities and solving equations to find the value of those variables. It's a key skill for understanding more advanced math concepts, as well as for solving real-world problems.

Geometry: Geometry deals with shapes, sizes, and relationships between objects in two-dimensional and three-dimensional space. It's important for understanding spatial relationships and for solving problems involving measurements.

Statistics: Statistics involves collecting, analyzing, and interpreting data. It's important for understanding and making decisions based on data in fields such as business, economics, and science.

Problem-solving: The ability to identify and solve problems is a key math skill that's important for success in many different areas. This includes the ability to analyze problems, break them down into smaller pieces, and find solutions.

Mathematical reasoning: Mathematical reasoning involves the ability to understand and analyze mathematical concepts and arguments, as well as to make logical deductions based on those concepts. It's an important skill for understanding and solving math problems.

[makeitright]

Sir, now I am preparing for JEE and I am not even good in mathematics ..I request you to take out some time from your precious time and Please analyze the JEE mains and advanced paper once or give us some advice on how we can perform well in maths section... waiting for your reply

[fornavnefternavn]

10:09 lol, cool video, though I feel like I was taught a lot of these topics in middle school (I'm from Denmark)

[TheBruceKeller]

The most winningest traders I know just use properly drawn trendlines and moving averages + support/resistance on multiple time frames. Sometimes basic fibs, but only like 50% and 61.8%, other than that it's sticking to their system(proper position sizing etc) and pure psychological control. You can definitely create mathematical systems for automated trading, but a lot probably have some basis in dealing with moving averages and trends anyway and also remove emotions from the equation.

[josuel.]

You're a great motivation @Samuel Bosch

Sometimes I wish I had been more aware of the powerful tools of math and science from a younger age and took them more seriously.
I'm from Alabama and our education system isn't that great, and I wasn't a very entrepreneurial kid, I usually just sat in the back and did my work.
Now that I understand the importance of STEM, I've made it my mission to try to learn as much as possible.
Only thing standing in my way is work ethic.
Samuel, what did you do to stay motivated and to push through when things got slow (if they ever did).