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Kaiju Mathematics
United States
เข้าร่วมเมื่อ 3 พ.ย. 2023
Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Math! Subscribe for weekly content.
Submit any problems you want answered on a live stream here
forms.gle/NaQCSKNjUzLcGHHn9
Or send an email to KaijuMathematics@gmail.com
Join my Discord channel to connect with other math teachers, students, hobbyists.
If you want to learn Business Calculus check out my course!
Submit any problems you want answered on a live stream here
forms.gle/NaQCSKNjUzLcGHHn9
Or send an email to KaijuMathematics@gmail.com
Join my Discord channel to connect with other math teachers, students, hobbyists.
If you want to learn Business Calculus check out my course!
Solve the Polynomial Inequality (x-7)(x-4)(x-2) Greater than 0
In this video I solve a polynomial inequality by breaking it into intervals and checking if its true or false. I write the answer into interval notation.
Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Math! Subscribe for weekly content.
If you need help with a problem and want your question answered on a live stream, please submit this form.
forms.gle/NaQCSKNjUzLcGHHn9
Join my Discord channel to connect with other math teachers, students, hobbyists.
discord.gg/pYhpcZWEf6
If you want to learn Business Calculus check out my course!
udemy.com/course/become-a-monster-at-business-calculus/?referralCode=7D7900A9CBA8C5F696EE
Email any questions to kaijumathematics@gmail.com
Questions can be specific math questions or advice navigating your Math classes
Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Math! Subscribe for weekly content.
If you need help with a problem and want your question answered on a live stream, please submit this form.
forms.gle/NaQCSKNjUzLcGHHn9
Join my Discord channel to connect with other math teachers, students, hobbyists.
discord.gg/pYhpcZWEf6
If you want to learn Business Calculus check out my course!
udemy.com/course/become-a-monster-at-business-calculus/?referralCode=7D7900A9CBA8C5F696EE
Email any questions to kaijumathematics@gmail.com
Questions can be specific math questions or advice navigating your Math classes
มุมมอง: 11
วีดีโอ
Solving Linear Inequalities and Compound Inequalities! (Full Lesson)
มุมมอง 52 ชั่วโมงที่ผ่านมา
I do 11 examples of solving linear inequalities. I solve multistep inequalities and compound inequalities. I also do a word problem with inequalities. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community Colle...
Simplify ((-5(x^-3y^-2)^-3/30x^-3y^2)^-3
มุมมอง 307 ชั่วโมงที่ผ่านมา
I simplify a problem involving exponents both negative and positive. I explain how to manage all scenarios of exponents. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in tea...
How to Solve Mixture Problems Involving Acid!
มุมมอง 169 ชั่วโมงที่ผ่านมา
I breakdown how to solve mixture problems involving acid and coffee grounds. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Ma...
Percent Equations, Percent Increase, Percent Decrease Problems! (Full Lesson)
มุมมอง 1312 ชั่วโมงที่ผ่านมา
I give a full lesson on percent equations, percent increase, and percent decrease. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to en...
Distance = Rate * Time Problem Solving Lesson
มุมมอง 1414 ชั่วโมงที่ผ่านมา
In this video I explain how to manage distance = rate * time problems. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Math! Su...
Solve for x in the Triangle. Find the Missing Angles!
มุมมอง 2319 ชั่วโมงที่ผ่านมา
I solve for x in the triangle and find the missing angles. I have to use information about triangles in order to solve this one. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest rewar...
Solving Formulas for Variables or Solving Literal Equations (Full Lesson)
มุมมอง 3721 ชั่วโมงที่ผ่านมา
I take a look at solving 3 formulas for specific variables. This is also referred to as solving literal equations. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching ...
Formulas and Problem Solving With Solving Equations! (Full Lesson)
มุมมอง 21วันที่ผ่านมา
In this video I take a look at using formulas to do problem solving with solving equations. I take a look at the distance formula, perimeter, and degree conversion. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and C...
Simplify 3bcsqrt(44a^5b^9c^11)
มุมมอง 85วันที่ผ่านมา
I take a look at simplifying a radical that might be tough if your not familiar with the rules and how to simplify exponents in radicals. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The great...
Consecutive Integers, Even Integers, Odd Integers Problem Solving! (Lesson)
มุมมอง 29วันที่ผ่านมา
I do 3 examples related to consecutive integers, even integers, and odd integers. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enj...
Introduction to Problem Solving With Solving Equations! (Full Lesson)
มุมมอง 26914 วันที่ผ่านมา
I give a full lesson on problem solving with solving equations. I go over a few different scenarios that solving equations can be used to solve for a solution. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Commun...
The Best Applied Calculus Books! No Trigonometry Needed!
มุมมอง 26114 วันที่ผ่านมา
I take a look at two Applied Calculus books. Both have many Calculus 1 and 2 topics without trigonometry. If your looking for Calculus but you don't know Trig, these books are for you. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Ed...
Take the Derivative f(x)=(x^(1/3)+1)(x-5)
มุมมอง 2314 วันที่ผ่านมา
I take the derivative of this function by using Product Rule! You can do it 2 ways and I explain the process from start to finish. I explain how to determine how much simplifying needs to be done. Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High Scho...
Simplify 6/(1+2/i)
มุมมอง 26614 วันที่ผ่านมา
I simplify a fraction with imaginary numbers! Welcome to Kaiju Mathematics! Become a Monster at Mathematics. I am a college professor who loves to teach Math! I have been a teacher for 10 years for all levels such as Junior High School, High School, Adult Education (GED), and Community College. The greatest reward in teaching is to have a student start to enjoy Math! Subscribe for weekly conten...
Solve the Absolute Value Equation absvalue(-6-3x)=absvalue(2x+7)
มุมมอง 10814 วันที่ผ่านมา
Solve the Absolute Value Equation absvalue(-6-3x)=absvalue(2x 7)
Simplify (2x+5)/(5+2x) and (x-6)/(6-x)
มุมมอง 23921 วันที่ผ่านมา
Simplify (2x 5)/(5 2x) and (x-6)/(6-x)
Solve Sqroot of x + square root (x+15)= 5/(sqroot of x)
มุมมอง 91021 วันที่ผ่านมา
Solve Sqroot of x square root (x 15)= 5/(sqroot of x)
Simplify -5^2+[sqrt(16)- cuberoot (8)+ fourthroot (16)]^4
มุมมอง 4321 วันที่ผ่านมา
Simplify -5^2 [sqrt(16)- cuberoot (8) fourthroot (16)]^4
Divide (6x^2-x-2)/(x^2+3x-10) divided by (9x^2-4)/(2x-4)
มุมมอง 20721 วันที่ผ่านมา
Divide (6x^2-x-2)/(x^2 3x-10) divided by (9x^2-4)/(2x-4)
Distance = Rate * Time Example! Comparing Times!
มุมมอง 2628 วันที่ผ่านมา
Distance = Rate * Time Example! Comparing Times!
Divide 2x^4-3x^2-5x-3 by x^2+x+1 Polynomial Long Division!
มุมมอง 98หลายเดือนก่อน
Divide 2x^4-3x^2-5x-3 by x^2 x 1 Polynomial Long Division!
All the Problems You Need to Become a Monster at Solving Multi-Step Equations! (10 Examples)
มุมมอง 54หลายเดือนก่อน
All the Problems You Need to Become a Monster at Solving Multi-Step Equations! (10 Examples)
Simplifying Algebraic Expressions! 20 Examples Including Translating Phrases! (Full Lesson)
มุมมอง 112หลายเดือนก่อน
Simplifying Algebraic Expressions! 20 Examples Including Translating Phrases! (Full Lesson)
Properties of Real Numbers! (Full Lesson)
มุมมอง 86หลายเดือนก่อน
Properties of Real Numbers! (Full Lesson)
Sir tell me some best channels that covers all theses courses
Sor what about geometry
Not required. Math majors will take a College Geometry class there 3rd or 4th year that is a 400 level class. But at the community college level, to transfer and major in math geometry isn’t required.
@KaijuMathematics12 but sir in india they teach geometry in class 9th and 10th which includes all eculds geometry
thank you 👌👌 great video
What are good apps to study math?
I don’t think there are many good apps for studying math other than Kahn academy. But you can get textbooks like Openstax on apps. It’s free math books right as an app. That’s probably the best.
I’m taking math 106 this summer, how much weeks will that take?
I don’t know what math 106 is at your school. Also it depends on what session you signed up for. 6 weeks 8 weeks 12 weeks?
@ it’s college algebra enhanced
Thanks man. Appreciate you
No problem!
WHATS THE BEST PRACTICAL FINITE MATHEMATICS AND APPLIED CALCULUS TEXTBOOKS A COMBINE TEXTBOOKS THANK YOU
wonderful video! thank you for your insight kaiju mathematics! 😁😁
No problem! Business calculus is a great class!
You could multiply 2/i by i/i to simplify it to 2i/i^2 which is -2i. So the equation becomes 6/(1-2i). Multiply top and bottom by 1+2i to get 6(1+2i)/(1-4i^2) which is 6(1+2i)/5
That’s a cool idea! Thanks!
I recently went back to Community college for math and I didn’t take any trig, I went straight to Calc1 honors, and the prof told me what to review and it was fine.
I’m tackling abstract algebra and analysis next academic year to wrap up my math degree. I’m taking a proof based intro writing class this semester alongside other upper division math. Suggestions for next academic year ?
@@elideanda9506 my first suggestion was going to be take a proof writing class. But looks like you got that taken care of. When in the classes, do the notes and homework so many times you that you have them memorized. When I took both of those classes, direct homework problems were put on exams.
@@KaijuMathematics12thank you, tbh this is gonna be my second attempt at it. I was super close to a C where I was offered to pass with a C but needed more reinforcements in the concepts. I did all the homework and didn’t miss class. It got tricky when tackling relations and functions and set theory but I got it down now lmao
Nothing wrong with needing 2 attempts. It’s a hard class. Most people wouldn’t even try it and you’re coming back for more. You got it!
cool books
Why isn't there a geometry course in community college? Ideally, after introductory algebra, there should be a geometry course, as it greatly helps students with trigonometry, calculus, and linear algebra.
@@kalyaninutopia there is a Geometry course. But it’s not required for stem/math majors. Geometry is only needed for a very small amount of paths.
My thought process on how I solved this: Since Kaiju wants a nice solution, I'll try sqrt(x) natural and sqrt(x + 15) natural: we get x = 1. Plugging that in, we get a correct solution. Since the left side is monotonically increasing and the right side is monotonically decreasing, that must be the only solution.
Interesting! Didn’t think about the increasing or decreasing.
Hi, Math theoxist here, solved some of the other problems! 1) x=3 (true) 2) x=14 (true) 3) x=3 (does not satisfy the equation) 4) x=49 (true) 5) x=64 (does not satisfy the equation) 6) x=9 (does not satisfy the equation) 7) y=(5/2)² (true) 10) x=11 (true) 11) x= 7 (true) That's all I managed to answer!
There you go! Haha! Way to make the most of a short.
@KaijuMathematics12 Awesome vid man. Fun to watch you solve math problems
Wow, you guys spend so much time in choosing a notebook!! We in India just do math on any random paper we get. I usually do math on ultra cheap loose paper, the paper is so bad that it almost feels like tissue paper. If I don't have anything in front of me then I just grab today's newspaper and scribble math problems. I also use a pencil to do math so that if I make mistake I can erase and move on, that way I conserve space.😅
Ha! These are the things that see important to us in the US. Haha
I like how you treat a topic that nobody talks about but that concerns everyone, good content
Thank you!
7:05 i did the same thing because it used to feel more professional
x+√(x)√(x+15)=5 and x≠0 5-x=√(x)√(x+15) 25-10x+x²=x²+15x 25-25x=0 x=1 1+√16=5/√1, this is indeed true. x=1.
Sick! Way to go!
How I solved it (without watching the video first, of course): √x + √(x+15) = 5/√x | - √x √(x+15) = 5/√x - √x √(x+15) = 5/√x - x/√x √(x+15) = (5-x)/√x | * √x √(x+15) * √x = 5-x | ()² (x+15) * x = (5-x)² x² + 15x = 25 - 10x + x² | - x² 15x = 25 - 10x | + 10x 25x = 25 | * (1/25) x = 1
Interesting approach! Cool! Thanks for sharing!
Is this before precalculus? I was under the impression that we have to write the restrictions : -5/2, and 6 respectively.
Your correct. I forgot to write the restrictions. I was more focused on the fact of how to simplify. I was taking more of an elementary algebra approach in understanding the concept. You’re 100% correct. It was my oversight.
Nice video . If you could also share the link of the books where it’s available at reasonable prices that will be great
I’ll do that! Thanks for the suggestion. I never thought about that.
It's a shame the publisher can't/won't publish this book in English. The sales would just sky rocket.
Seems like a no brainer but there must be a reason.
@@KaijuMathematics12 The man himself died in 1978. My guess is that the heirs can't agree on how to split the money.
@cmdstraker great insight! Thanks for looking into it.
Bro I just took few rough notebooks and completed the entire Calculus
@@Puja-f7r hardcore! Ha!
I grew up with the book. As a child I saw my young aunts going to school with it. This book got me interested in Algebra. I still have a copy in my bookshelf. There is another book Called Aritmetica de Baldor. It's not well-known. I had a copy of it, too. But I lost it in moving.
That’s so awesome! I’ll have to see if I can find that other book. Too bad you lost it. I’ve lost many books in moves also.
Ok Doc,Math has its own language,no need English or Spanish.Do the prombles.
Baldor Algebra, got me interested in mathematics. It's nice to see it in your bookshelf.
Oh that’s awesome you got to use it!
Can you recommend some proof books?
I don’t have personal experiences with any proof books. But my coworker has “How to Prove it: A structured approach” by Velleman.
i really like the concepts app for iPad. gives you a nearly infinite canvas so you aren't bounded by the size of the notebook page you're on. i use a dotted background so i have something to line up against but it isn't in my way if i want to do something freeform. my pocket notebook is just printer paper cut in half and then folded again in half. makes for an a6 pocket notebook. and half a ream of paper'll get me a couple dozen of them. you can even print custom pages if you've got the need. i either staple it or run it through the sewing machine to secure the spine.
Concepts?? I’ll have to check it out! That’s a really awesome idea for a homemade pocket notebook.
I can never do these because the first step I always subconsciously take (which is wrong) is dividing x^2 by x^2 and so rewriting it without those and with a 1 in front of the first numerator and I know it isn’t multiplication so I can’t do it but I just do 😂
At least you know your mistake!
Awesome stuff
My first thought was to think of it as an augmented matrix and use row operations:)
@@TheNaturalOutcast yes! That’s a very common approach!
You are awesome! I’m a current senior in an applied and computational mathematics major and watching how understanding you are with the different walks of life who come through your classes is truly inspiring. You definitely called me out when you talked about the skipping class! My goal for my last two terms of undergrad is to not miss a single class! Cheers!
@@TheNaturalOutcast thank you! Good luck with the rest of your school. Almost there!
I haven't watched the video yet but have managed to figure out the solution to the problem in around 3-4 steps. Not to take anything away from your video but I find my method much faster and intuitive. Some Background on Imaginary Numbers: i goes in cycles of four, i, -1, -i, and 1. So for any value n, i^n must be i^(n mod 4) [mod is just the remainder]} 1. [i^(25 mod 4) * i^(31 mod 4) + 2i^(10 mod 4)]/i^(15 mod 4) 2. [i * (-i) + 2i^2]/-i 3. [-(-1) - 2]/-i => 1/i 4. 1/i * i/i => -i I would really like to hear your thoughts on the way I approached this problem. Thanks!
@@harimonke this is awesome! Thank you for sharing!
@@KaijuMathematics12 Thank you :)
Fun problem! The first thing my mind goes to is simplifying those large exponents by subtracting the largest multiple of 4 I can from them (because the powers i of repeat in a cycle of i, -1, -i, and 1) making it ((i*i^3)+2i^2)/i^3. Much easier to deal with from there :)
Awesome!
solid work man.
Why cant i do i^46 = (i^4)^11.5
I’m not sure that it can’t. I don’t see why it can’t be that off the top of my head. Do you still get the same answer? If you do, then you’re good.
@@KaijuMathematics12 Well pretty sure i cant, but i dont know why... i^46 = i^44 * i^2 = 1* -1 = -1 i^46 = (i^4)^11.5 = (1)^11.5 = 1^11*1^0.5 = 1*1^1/2 = sqrt(1) = 1
I’d have to look over by trying it out myself. But I’d try to stay away from fractions/decimals.
Ok so I looked it over. You are correct about everything. The part your forgetting is the bottom is where your -i would come from. Cause you’d have i^5. Which is -i
he he. 3:34 algebraic division was the part in which I struggled more when I was a kid in junior high. now, many years later, I took this amazing book again, and with patience and discipline I managed to understand and solve the exercises about division one by one. Discipline and practice is all that you need to become proficient at math in general. And solid foundations.
@@hebermoreno7963 yes!!! Great story! Thanks for sharing. Discipline and practice is key.
Would you mind doing a video of Martin-Gay’s Geometry and/or Blitzer’s College Algebra? Once I finish Blitzer’s Algebra for college students I plan on tackling College Algebra. I’m on chapter 3 of the geometry book.
What would you like the video to be about? Just an overview of the book?
@@ussdfiant what would you like the video to be? An overview of the books?
Based on one of your previous videos, I picked up Mathematical Ideas. I was able to pick up the student edition, instructor edition and instructor’s solution manual for a reasonable price. That book is really densely packed with mathematics! It overwhelming! I’ve decided (today) to align the topics with what I’m doing in my self study. Also, finding a copy of Elayn Martin-Gay’s Geometry (for under $100) took me forever!
That’s awesome to hear! I hope you enjoy the books. It’s good to have a plan on your self study and make goals!
Writing in a book, even with pencil, is sacrilege!
Some of these old books are pretty marked up.
Do you know any books that are obsessive at trying to teach mathematical concepts in extremely visual, palpable and kinesthetic ways? Not only that but books that solve some problem in as many ways as possible yet they reach the same correct result. TH-cam is highly lacking in recommendations like that. Thanks so much.
The community college im about to go to is amazing for physics.
That’s great! Enjoy it!
I'm not a math major, but I started with college Algebra about 10 years ago when I first went to college. I only needed up to precalculus for an associate of businesses. I recently decided to go back for science, so I knew i needed to sharpen my math skills. I was going to retake precalculus as an 8 week accelerated course and I realized when I was doing the first assignment that I forgot so much of what I was expected to already know. I attempted to take college algebra, but the class was full so I went all the way back to intermediate algebra last semester. I decided that I will just take college algebra this semester. I'd rather just build myself back up than struggle, trying to jump right back where I left off years ago.
That’s amazing! Many students refuse to swallow their pride and go back down. Good for you for recognizing you needed to strengthen your skills.
Wouldn't it be better to first expand the (x-1)³ term, since we also kind of still do it in the end, so it's just faster to turn it into a polynomial and wouldn't even have to use the product rule!
Right! You could 100% do that. Was just feeling product rule haha.
literally just beauty😮💨
Pretty awesome book!
In Brazil most selective universities start undergraduate math courses with calculus. Is it different in the US?
Students can enter college at all different levels. Some do start at calculus. Some even finish calc 1,2, and 3 while in high school. It really depends on skill level at the time of entering college.
Thanks for the overview of the topics in the books. I am self-taught in data-science, I have to learn statistics, probability and math from scratch to college level) Your review helped me better understand what to study and in what order.
Oh wow! That’s amazing! That’s quite the accomplishment. I’m glad this video helped you out.
I was wondering if I am alone in this world having a complete Calculus and differential equations text book library started collecting them in 1978.
These old books are so interesting!
I've been re-learning Maths for a while now, and it surprises me that the most basic math, arithmetic, is called "pre-algebra", as if "arithmetic" is too pitifully basic to be in the title LOL. // I have that Baldor book too, it's good!
Baldor book is great! Many tough problems.