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Math Simplified
Приєднався 21 кві 2024
Welcome to Math Simplified! With over 25 years of teaching experience, I’ve created this channel to make college-level math clear and accessible.
What You’ll Find:
Calculus 3: Over 200 videos covering every essential topic.
Pre-Calculus Algebra: A complete series of short, concise lessons (almost 200 videos).
Coming Soon: Pre-Calculus Trigonometry, with plans for Calculus 1 and 2.
Subscribe to make math simplified!
What You’ll Find:
Calculus 3: Over 200 videos covering every essential topic.
Pre-Calculus Algebra: A complete series of short, concise lessons (almost 200 videos).
Coming Soon: Pre-Calculus Trigonometry, with plans for Calculus 1 and 2.
Subscribe to make math simplified!
Solve Quadratics over Complex Numbers
Solve the quadratic equations over the complex numbers - two examples.
#maths #math #mathematics #lecture #algebra #precalculus #precalcalgebra #quadraticequation #quadratic #quadratics #complexsolutions #quadraticformula
#maths #math #mathematics #lecture #algebra #precalculus #precalcalgebra #quadraticequation #quadratic #quadratics #complexsolutions #quadraticformula
Переглядів: 3
Відео
Evaluate Powers of i - Write in Standard Form
Переглядів 415 годин тому
Write powers of the imaginary number, i, in standard form and then perform the indicated operation. #maths #math #mathematics #lecture #algebra #precalculus #powersofi #complexnumbers #complexnumber
Powers of i in Standard Form - an Introduction
Переглядів 617 годин тому
For the imaginary number, i, complete the table expressing each power of i in standard form. #maths #powersofi #imaginarynumber #imaginarynumbers #math #mathematics #lecture #algebra #precalculus #complexnumbers #complexnumber
Divide Complex Numbers
Переглядів 719 годин тому
Divide the complex numbers. Use the conjugate of the denominator to form a "well-chosen one" and divide the complex numbers. Write answer in the standard form (a bi). #maths #math #mathematics #lecture #algebra #precalculus #complexnumbers #dividecomplexnumbers #imaginarynumber #imaginarynumbers #complexnumbers #precalcalgebra #complexconjugates #complexconjugate #differenceofsquares
Complex Conjugates
Переглядів 172 години тому
An introduction to the conjugate of complex numbers. Examples include finding complex conjugates of given complex numbers, and the conjugate of a product and sum of complex numbers. #maths #math #mathematics #lecture #algebra #precalculus #complexnumbers #complexconjugates #imaginarynumbers #imaginarynumber
Add, Subtract, Multiply Complex Numbers
Переглядів 92 години тому
Add, subtract, or multiply complex numbers and write answers in the standard form. #maths #math #mathematics #lecture #algebra #precalculus #complexnumbers #imaginarynumber
Standard Form of a Complex Number
Переглядів 72 години тому
Introduction to the standard form of a complex number. Two examples of writing complex numbers in the standard form. #maths #math #mathematics #lecture #algebra #precalculus #complexnumbers #standardformcomplexnumber #imaginarynumber #imaginarynumbers
Linear Equations Application: 20% price reduction
Переглядів 3614 годин тому
Linear Equations Application: 20% price reduction
Solve Rational Equation - Extraneous Solution
Переглядів 2819 годин тому
Solve Rational Equation - Extraneous Solution
Solve Equation that Leads to Linear Equation
Переглядів 45День тому
Solve Equation that Leads to Linear Equation
Use Intersect Feature to Solve the Quadratic Equation
Переглядів 14День тому
Use Intersect Feature to Solve the Quadratic Equation
Interpret a Graph - Movie Membership Example
Переглядів 21День тому
Interpret a Graph - Movie Membership Example
Solve System Linear Inequalities with 4 Inequalities
Переглядів 7928 днів тому
Solve System Linear Inequalities with 4 Inequalities
System Non-Linear Inequalities in Two Variables
Переглядів 2828 днів тому
System Non-Linear Inequalities in Two Variables
Solve the System of Non Linear Inequalities in Two Variables
Переглядів 4928 днів тому
Solve the System of Non Linear Inequalities in Two Variables
Solve Linear Inequality in Two Variables
Переглядів 3528 днів тому
Solve Linear Inequality in Two Variables
Solve System of Non-Linear Equations - 4 solutions
Переглядів 3128 днів тому
Solve System of Non-Linear Equations - 4 solutions
Solve System Non Linear Equations - no solution
Переглядів 30Місяць тому
Solve System Non Linear Equations - no solution
Solve System of Non Linear Equations - substitution
Переглядів 26Місяць тому
Solve System of Non Linear Equations - substitution
System Non Linear Equations - solve by graphing & substitution
Переглядів 38Місяць тому
System Non Linear Equations - solve by graphing & substitution
Thank you.
🦭
TOO TINY! I could not read the equation. There is no FULL-SCREEN button to enlarge the view on my PC, unlike on my phone.
Thanks for the feedback. I hope that you find the full video easier to read: ua-cam.com/video/8Z-sBsGxxGo/v-deo.html
Is this American? The British secondary schools explain very differently
Yes - American. Check out the full video here: ua-cam.com/video/Bq3wAcIlpdA/v-deo.html
Divide by P to break up the parentheses, Subtract both sides by 1, Divide everything on left side by r to get t alone on the right side, Since r=r/1, use the opposite reciprocal property of fractions and multiply 1/r by A/P to get A/Pr, Put all together to get t=A/Pr -1/r
thanks
Nice video, thanks. Curious what the actual volume of that wedge is. That’s not 27/8, right?
To find the 'volume' of the wedge, you can use the same limits but the integrand would need to be 1 instead of z. So no, 27/8 is not the volume of the wedge.
ABSOLUTE LIFESAVER
Awesome! I'm glad you found this to be helpful.
Very nice video! Great resource for learning Calc 3!
Awesome! Thanks.. I'm glad you find it helpful.
Amazing! The best video on the subject! Saved my semester!
Yay! Glad to hear it..
This is so helpful. Thank you miss.
You're welcome! I'm glad it works for you.
You're doing a fantastic job! Could you help me with something unrelated: I have a SafePal wallet with USDT, and I have the seed phrase. (alarm fetch churn bridge exercise tape speak race clerk couch crater letter). How can I transfer them to Binance?
When we are finding the height of the circular wedge, is the projected height indeed equal to the actual height, or are we using the projected height as an approximation to the actual height? I'm aware that this is the correct conversion factor because it matches with the result we get when we compute the determinant of the jacobian matrix algebraically, but it seems to me that there would be some distortion after projection, since we are at an angle of pi/2 - phi with respect to the xy-plane instead of within the xy-plane. Everything else in the derivation was clear and easy to follow.
The 'height' of the wedge is approximated by the arc length that is calculated from the projection. When the wedge is infinitely small, the arc length gets close to a linear measurement of the wedge height.
Exactly what I needed! Thank you so much! Very well done and easy to understand!
You're welcome! I'm glad that it helped.
Are you a graduate student or a professor? I found the quality of your videos really great!
Thank you! I have been teaching math at the community college level for 25 years. I'm a visual learner so the detailed images really help me to fully understand the theory. I'm glad they seem to be helpful :)
Why do I think this is one of the best math tutorial ever you can find in the internet!
Why don’t the bounds change after the u-sub?
Because we changed back to the y-variable in the next step. You have two options: 1. change the limits to u and evaluate with u-limits. 2. back substitute the anti-derivative to y so that you can use the original y-limits.
can't you say (x + 4 - i)(x + 4 + i) = (x + 4)^2 - i^2 = x^2 + 8x + 16 + 1 = x^2 + 8x + 17? i feel like this would take less time than multiplying 9 terms out.
Yes. That does work! Nice use of the difference of squares.
I usually don't comment on videos but I found this to be an absolute gem. I already had solved this problem after watching a multitude of video explanations of this exact problem, but none of them felt sufficient for my understanding. I sort of just went along and blindly agreed with the steps from other videos and it left me with more questions than when I had went into the problem. This video cleared every single question I had. From how to locate the actual region of integration to why dx was taken before dy, you gave such a thorough explanation and the visual representation was definitely a big help. Thank you so much!
Wow! Thank you for the kind complement. I'm a visual learner myself and really need a clear picture to understand what is happening. I'm glad this video helped you.
Thanks you so much
You're welcome!
nice
Fantastic video. I don’t know why it was so hard to find your video, but I’m glad I did
Thanks! I hope you enjoy the rest of the course videos now that you found the site.
Thank you I understand now
Great! I'm glad that it worked for you.
Just want to say that I'm very grateful to you for making these videos! They make it super clear as to what's happening when working with equations of 3D curves! I'm currently learning Calc 3 on my own :)
Awesome! I'm glad that they are working for you.
Nice
Thank you for your many helpful videos. Are there any references with more examples? I am stumped on how to eliminate the parameters in this video of yours in a way which allows me to identify the surface.:Find Surface Area for Parametric Surface - Example
Have you looked at MathIsPower4U? He has tons of additional examples that are really helpful.
@@mathsimplified1235 thanks, I'll go there. Appreciate your work.
Thanks
You're welcome!
Looks like a clear explanation of the theory ... and a well presented example!
I'm glad that it works for you!
I can see you're putting a lot of effort into building your UA-cam channel and posting high-quality videos. I hope you succeed; I love your content. I know how frustrating it can be at the beginning, but don't give up. Keep it up!
Thank you for the encouragement!
No idea where you came from or if this is AI, but super helpful series. Thank you for putting this together.
Awesome! I'm glad it's working for you. Oh - and I'm a real human 🙂. I've been teaching math for almost 30 years and am passionate about getting some graphs out into the world.
@@mathsimplified1235 You never know! Going through some of these problems in Calc 4 right now and to see your recently uploaded videos is certainly timely. Thank you again!
I wanna be able to understand this one day😭, I’m chasing my mech/aero engineering degree, so typically***** what year of college do most students learn this topic
Students typically study Calculus 3 in their 2nd year of college, assuming they were Calc 1 ready as a freshman. For the engineering students who start in Pre-Calc, they usually take a math every semester (including summers) to get the pre-requisites needed to begin their physics and engineering courses.
How did it "formalize" at -6xyz? Shouldn't it be +6xyz?
...at approximately 40 seconds
You are right! It should be +6xyz! I'll fix it soon and post the correction. Thanks for brining that to my attention.
Just double-checking for the YZ plane it would be (3,0) and (-3,0) instead of (2,0) and (-2,0)
The trace curve in the yz-plane (x = 0 plane) is a hyperbola opening in the direction of y with vertices at the (y, z) points (2,0) and (-2,0). This is because the value under the y^2 term in the general form of the hyperboloid of one sheet is 4, and the square root of 4 is 2. This section starts at around 5:13 in the video. I hope that helps.
Amazing content. I love it
Thank you for the feedback! I'm glad it's working for you.
You have the most amazing pleasant voice with crystal clear dictions. Joy to my ear. Makes Calculus painless and unbelievably digestible with ease. Thank you. Please upload more 🙏
Glad you like them!