Stuart, you deserve some sort of noble prize. The only reason I am here watching a video about (the very badly named) imaginary numbers is because of the existence of your tutorials, which have given me the confidence to self-learn further maths. Please don't ever stop what you're doing
This video confuses the term "complex" and "imaginary" on more than one occasion. The number 2+i is a COMPLEX number. The number 5 - 7i is a COMPLEX number. 5 is a real number. -7i is an imaginary number. 5 is the real part and -7 is the imaginary part of the complex number 5 - 7i
Great job in explaining the different topics. There may be the odd tiny mistake but your videos really help when it comes to self study. I'll be watching many of them. Thanks
X^2 + 49 = 0 49 is positive so how did it become -49 when it was square rooted? How did X^2 = -49? Also how much of the factor theorem section of the videos do i need to understand before i can do question 3?
@ExamSolutions Dear Stuart, I am teaching myself edexcel further maths (that is FP1, D1 and M2) and have been praying that you would do past papers and explain questions for it the way you do for core maths. You have helped me greatly by doing this with core maths so I hope the same can be done for the further maths syllabus. My exams for further maths (AS) will be in june and I would be over the moon if you could do some exam papers (or cover the syllabus) before then! Thank you!
Thank you so much .. I got into uni this year yahoo :D and I am still using your amazing site My first lecture of Calculus Mathematics was complex numbers and my lecturer went sooo quickly over this topic as she amused that everyone did FM and I did not understand a bit so I am really glad that I found what I need in your site ^^
I noticed on your website that in the CIE section of your maths tutorials.. u dont have the fp1 and fp2 tutorial Section yet.. but I have been thinking about giving the further mathematics and the accessible exam in my city is only the cie one, I would have to travel to another city to give the edexcel exam..what I want to ask is.. that 'is studying for the fp1-fp3 edexcel exam' the same as studying for the cie one.. is there a difference in the syllabus ?
ExamSolutions Hi Sir, I appreciate you are a busy person sir, but I would be extremely grateful if you could help me out with these questions: 1. Is it acceptable to use in these instances the 'completing the square method' instead of the quadratic formula. 2. Is it possible to differentiate i? 3. What is the purpose of graphing the functions, since the graphs will only show the real roots if present. 4. On my graphical calculator even when inputting the form of normal or a+bi they show the same graph. 5. Is it feasible for the imaginary roots to be shown on the graph. Thank you.
Only issue is that √-x = ±√x i, so √-16 = ±4i, and this gives 2 possible answers rather than 1. This is a crucial part of imaginary numbers, but it's incorrect in the video.
If you could tell me how you managed to create the square root symbol and +/- symbol I`d appreciate it. I ask a lot of questions in maths forums and I find brevity of expression the best way.
Stuart, you deserve some sort of noble prize. The only reason I am here watching a video about (the very badly named) imaginary numbers is because of the existence of your tutorials, which have given me the confidence to self-learn further maths. Please don't ever stop what you're doing
Hi Hamzah, thanks for your comment and I am very grateful to have your support for this long term project. All the best.
This video confuses the term "complex" and "imaginary" on more than one occasion. The number 2+i is a COMPLEX number.
The number 5 - 7i is a COMPLEX number. 5 is a real number. -7i is an imaginary number. 5 is the real part and -7 is the imaginary part of the complex number 5 - 7i
Great job in explaining the different topics. There may be the odd tiny mistake but your videos really help when it comes to self study. I'll be watching many of them. Thanks
Thanks!
@UgoPS I will see what I can do for you but I make no promises. Thanks for your support though.
Excellent tutorial. Thank you!
After ten years, but this tutorial your tutorials still help me with pure maths
Thank you teacher
thank youuuu soo much for your effort and time over this i really benefited from it god bless you
@mandarkm FP1
@ExamSolutions Good stuff! I'll be staying tuned as always! Great tutorial by the way.
is this for a levels mathematics pure mathematics?
Correct me if I'm wrong but isn't it meant to be +/- 4i in the first example ?
X^2 + 49 = 0
49 is positive so how did it become -49 when it was square rooted?
How did X^2 = -49?
Also how much of the factor theorem section of the videos do i need to understand before i can do question 3?
Bayezid you move it to the other side by subtracting both sides by 49. basic maths bruh
@@BlueHawkPictures17 lmao
@ExamSolutions
Dear Stuart,
I am teaching myself edexcel further maths (that is FP1, D1 and M2) and have been praying that you would do past papers and explain questions for it the way you do for core maths. You have helped me greatly by doing this with core maths so I hope the same can be done for the further maths syllabus. My exams for further maths (AS) will be in june and I would be over the moon if you could do some exam papers (or cover the syllabus) before then!
Thank you!
Hey, are you still teaching?
Thank you so much .. I got into uni this year yahoo :D and I am still using your amazing site
My first lecture of Calculus Mathematics was complex numbers and my lecturer went sooo quickly over this topic as she amused that everyone did FM and I did not understand a bit so I am really glad that I found what I need in your site ^^
I know you comment a lot but I am pleased to hear that the vids are still helpful.
how this video is created?
I noticed on your website that in the CIE section of your maths tutorials.. u dont have the fp1 and fp2 tutorial Section yet.. but I have been thinking about giving the further mathematics and the accessible exam in my city is only the cie one, I would have to travel to another city to give the edexcel exam..what I want to ask is.. that 'is studying for the fp1-fp3 edexcel exam' the same as studying for the cie one.. is there a difference in the syllabus ?
12 years later comment on my comment 12 years later
nice
Everyone!! Check out his website!!!
sounds like gordon ramsay but at least i can do my homework now
5 years later, and I still find this tutorial very useful! Thank you! i GOT a 6/7 from my vectors exam cause of this video!
🙂
@big sxber exams in ohio
Thank you so muchhhhh
Very helpful, thank you
I Love the way u explained, even though i'm not a mat knowledger, with your recaps to previous formula, it was easy to get.
NIce Work.
I trust that a + bi is one number ? Or have I got this wrong ?
i dont get it i got 19 not 2? help
which module is this for edexcel students?
thank you so much sir, i was not able to understand complex numbers at all and by watching these series, I'm able to understand each concept clearly.
Well done. Best wishes.
this has helped me a lot
aha doing furthermaths :D awesome
just a question but for the root of both -16 and -36 shouldnt the square root of 16 and 36 be both plus and minus
+Jamie Patterson I did write + or - for the root of -16 in question 2.
yes but not in the first bit at the very start
Does the imaginary part of the roots mean something on the graph?
Good question. Not that I am aware of.
yes,for example, 4+3i on the graph is 4 units away from the x-axis and 3 units away from y-axis.
ExamSolutions
Hi Sir, I appreciate you are a busy person sir, but I would be extremely grateful if you could help me out with these questions:
1. Is it acceptable to use in these instances the 'completing the square method' instead of the quadratic formula.
2. Is it possible to differentiate i?
3. What is the purpose of graphing the functions, since the graphs will only show the real roots if present.
4. On my graphical calculator even when inputting the form of normal or a+bi they show the same graph.
5. Is it feasible for the imaginary roots to be shown on the graph.
Thank you.
ill help you
The imaginary parts of roots do mean something, though you'll need a Riemann Surface to see it
I'm so shit at maths and it's pretty sad
you save my butt all the time,
When asked what do for a living! I will reply "saving butts". New job description.
hahahaha, nice one
You're a G.
Only issue is that √-x = ±√x i, so √-16 = ±4i, and this gives 2 possible answers rather than 1. This is a crucial part of imaginary numbers, but it's incorrect in the video.
I did write two answers
If you could tell me how you managed to create the square root symbol and +/- symbol I`d appreciate it. I ask a lot of questions in maths forums and I find brevity of expression the best way.
Steve DL I downloaded a mathematical keyboard