you are going to be the reason I'm not going to fail. my online lessons were so slow, and they lasted for 3 hours, I'm usually quite good at focussing but not for 3 hours straight.
I've been self-teaching myself A-Level Maths outside of school for the last year and a bit and if it wasn't for your videos (Teaching A-level Maths playlist specifically), I don't know what I would've done. Thank you ever so much for these videos, you truly are the best.
A way i remember when to differentiate or integrate with variable acceleration is P. V. A. glue , position velocity acceleration to go down you differentiate and going up you integrate
Looking at this just before mocks incase there's anything I missed, just the unit vector and formulae for A^kx in calculus so I'm glad I didn't miss anything else!
Thank you very much for prompt response. A Lift of mass 520g is supported by a steel rod attached to it's bottom. The rod can withstand the maximum thrust 15400N.The lift can accelerate at 2.5ms-2 and decelerate at 7.8 ms-2.Find the maximum allowed load in the lift. I found this Question 10 ,Exercise 22b in OCR A Level Mathematics Year 1 (AS) BOOK.
I don't have the textbook I'm afraid, and I may be interpreting the problem incorrectly, but it can't be a fluke of arriving at 7.8. So using net force = m*a Max Thrust - Max Weight = Total Mass x acceleration 15400 - (520 + m)*9.8 = (520 + m)*7.8 gives m = 355kg The problem is that in your question it says it is decelerating at 7.8ms^-2, so in the equation it should be 15400 - (520 + m)*9.8 = (520 + m)*(-7.8), and where is the 2.5ms^-2 coming into it?
Hi sir, thanks for this! I just wanted to ask I’m at a B right now in maths. My main struggle is knowing what method and working out to use in order to get to the final answer. I know my content it’s just the exam qs. I have been practicing a lot but wanted to ask if u have any final tips, tricks, hacks or advice for the last 3 weeks please?? Thank youuu
I've no plan to do that I'm afraid. If I was going to do that, it would be OCR MEI specific (as that is the exam board I teach), but as you might expect it took a *long* time!
Could you please walk through this question.A Lift of mass 520g is supported by a steel rod attached to it's bottom. The rod can withstand the maximum thrust 15400N.The lift can accelerate at 2.5ms-2 and decelerate at 7.8 ms-2.Find the maximum allowed load in the lift
I assume you meant the mass of the lift was 520kg? I'm a little unsure - there seems to be more information than is needed - do you know what the answer should be? Is it 732kg?
This is great jack. Just a quick question, I always use y=mx+c and almost always go wrong when using y-y1=m(x-x1) and haven't used it in a long time. But will it still be useful knowing because I don't know if a question may ask in the exam: show your working out using the y-y1=m(x-x1) formula...? Thanks
You won't be asked to use that specific formula - you can still go straight to y=mx+c if you prefer. Go with the method you're most comfortable with at this point in the year.
So if the lift is being pushed up by its maximum force 15400N and the greatest mass allowed in the lift is 355kg, then: 15400 - (520 + 355)*9.8 = (520 + 355)*a Then a = 7.8ms^-2 Now, did the question say accelerate at 7.8ms^-2 and not decelerate?
this is so helpful, thank you! just one question - for things like volume of a cylinder or cone etc is this ever given or is it something worth learning
Let's say you know the gradient of a line is 2 and the line passes through the point (1,3). Then the equation of the line is y - 3 = 2(x - 1) Then just rearrange as necessary: y - 3 = 2x - 2 So y = 2x + 1
If it did, you would be the told the substitution to use. You'd then use the normal steps of integration by substitution to get to the answer (so you would start by finding dx/d(theta) for example)
Unfortunately, it looks like this may never happen. I have had to pull all of my AQA exam paper walkthroughs for the time being as they're being very strict on copyright, even for papers freely available through their website.
In the majority of cases, these formulae are given in the exam e.g. volume or surface area of a sphere. I agree though that it is useful to know them should the exam question omit it.
also i'm just gonna derive those 2 identities and the double angles cause i have enough stuff to memorize, should i just derive and write them down at the beginning of the paper when we're allowed to start or do you recommend seeing if they're needed
The calculator shows the exact values, but it will rationalise the denominator. So for cos(45), your calculator will give sqrt(2)/2 rather than 1/sqrt(2). There have been previous exam questions where recognising a ratio like 1/sqrt(2) can be traced back to a right-angled triangle has been important. There have been exam questions that ask you to 'use appropriate right-angled triangles', which may or may not refer to these two. A question like 'Given that sin(A)=8/11 and A is acute, find the exact value of cos(A)' - you need to draw a right-angled triangle (or use an identity), as your calculator can't give you the required exact value. The two triangles are a memory aid for this.
You're definitely going to need them at some point, so if it's easiest for you to write them down as soon as you can, then do so. Just make sure you're careful where you write them - cross them out if they're nothing to do with Q1 (for example!)
If you're struggling, don't try and revise absolutely everything otherwise you're likely to spread yourself too thin and it won't go in. Focus on 3-4 topics you know are coming up and revise them.
Don't you know what's on the test? Revise topics you know that are coming up - choose three and focus on those. No point going straight for the hardest topics if you're not confident - focus on those you're 25-50% happy with.
You won't get an A* BECAUSE you've all the videos - that would be just passive learning. You need to actively engage with them, pause the video and attempt the problem before I go through it, then you'd have to go through as many exam questions as you can possibly get your hands on, plus try extension material so you test yourself in unfamiliar situations. It's a lot more than just watching videos I'm afraid.
Make sure you've got a bracket there: sin(x + pi/2) = cosx But this can be derived straight from the compound angle formulae in the formulae booklet: sin(x + pi/2) = sin(x)cos(pi/2) + cos(x)sin(pi/2) = 0*sin(x) + 1*cos(x) = cos(x)
Just a quick question is there anything i can do over the summer to prepare for the Jump between A Level Maths and GCSE Maths i am starting A Level maths in september for OCR MEI
This book isn't too bad: www.amazon.co.uk/Bridging-GCSE-level-Maths-Student/dp/0008205019/ref=sr_1_fkmrnull_1?crid=16QLZR9ZMAOA7&keywords=bridging+gcse+and+a-level+maths+student+book&qid=1555617803&s=gateway&sprefix=a-level+maths+bridging%2Caps%2C447&sr=8-1-fkmrnull Best to focus on linear graphs / coordinate geometry, surds and indices, and quadratics in the run-up I would say.
![How to integrate ANYTHING • Part 1: Techniques ✍️ [A-Level Maths]](http://i.ytimg.com/vi/L6UkjiDVmWk/mqdefault.jpg)
you are going to be the reason I'm not going to fail. my online lessons were so slow, and they lasted for 3 hours, I'm usually quite good at focussing but not for 3 hours straight.
I've been self-teaching myself A-Level Maths outside of school for the last year and a bit and if it wasn't for your videos (Teaching A-level Maths playlist specifically), I don't know what I would've done. Thank you ever so much for these videos, you truly are the best.
Really glad I could help!
LEGENDDD, my first a level maths paper is on Tuesday and this is exactly what I needed, THANK YOU!
THANK YOU SO MUCH i wish i had found this earlier
Imagine if ur camera was not recording throughout all that!!!
Immensely useful. Thank you.
A way i remember when to differentiate or integrate with variable acceleration is P. V. A. glue , position velocity acceleration to go down you differentiate and going up you integrate
I like this, its a nice way of remembering!
Perfect for the first autumn exam on weds!😬
21:22 thanos snappin his fingers be like
Looking at this just before mocks incase there's anything I missed, just the unit vector and formulae for A^kx in calculus so I'm glad I didn't miss anything else!
WOWWWW thank u so so much! I was about to write all these out myself but now I can just screenshot and print 🤣
Thank you very much for prompt response. A Lift of mass 520g is supported by a steel rod attached to it's bottom. The rod can withstand the maximum thrust 15400N.The lift can accelerate at 2.5ms-2 and decelerate at 7.8 ms-2.Find the maximum allowed load in the lift. I found this
Question 10 ,Exercise 22b in OCR A Level Mathematics Year 1 (AS) BOOK.
I don't have the textbook I'm afraid, and I may be interpreting the problem incorrectly, but it can't be a fluke of arriving at 7.8.
So using net force = m*a
Max Thrust - Max Weight = Total Mass x acceleration
15400 - (520 + m)*9.8 = (520 + m)*7.8 gives m = 355kg
The problem is that in your question it says it is decelerating at 7.8ms^-2, so in the equation it should be 15400 - (520 + m)*9.8 = (520 + m)*(-7.8), and where is the 2.5ms^-2 coming into it?
One of the greatest men alive
Its been an honour serving with you
The honour is mine
First edexcel maths a-level exam in 2 hours, good luck to everyone!
Hi sir, thanks for this! I just wanted to ask I’m at a B right now in maths. My main struggle is knowing what method and working out to use in order to get to the final answer. I know my content it’s just the exam qs. I have been practicing a lot but wanted to ask if u have any final tips, tricks, hacks or advice for the last 3 weeks please?? Thank youuu
Literally, a life saver, thank you!
This video is incredibly useful, is there any chance you could do a similar one for A level Further Maths any times soon?
I've no plan to do that I'm afraid. If I was going to do that, it would be OCR MEI specific (as that is the exam board I teach), but as you might expect it took a *long* time!
Just here to let you know that you're a lifesaver :)
Thank you so much for the tips! It is a very useful Wishlist.
Glad I could help!
Could you please walk through this question.A Lift of mass 520g is supported by a steel rod attached to it's bottom. The rod can withstand the maximum thrust 15400N.The lift can accelerate at 2.5ms-2 and decelerate at 7.8 ms-2.Find the maximum allowed load in the lift
I assume you meant the mass of the lift was 520kg?
I'm a little unsure - there seems to be more information than is needed - do you know what the answer should be? Is it 732kg?
This is amazing!!
This is great jack. Just a quick question, I always use y=mx+c and almost always go wrong when using y-y1=m(x-x1) and haven't used it in a long time. But will it still be useful knowing because I don't know if a question may ask in the exam: show your working out using the y-y1=m(x-x1) formula...? Thanks
You won't be asked to use that specific formula - you can still go straight to y=mx+c if you prefer. Go with the method you're most comfortable with at this point in the year.
Hi, thank you for this! Was wondering whether you were going to do a video on parametric integration?
I've done those, you'll find them easily here: sites.google.com/site/tlmaths314/home/a-level-maths-2017/full-a-level/h-integration/03-definite-integrals from H3:15
Yes ,the mass of the lift was 520kg and OCR 's book answer is 355kg
So if the lift is being pushed up by its maximum force 15400N and the greatest mass allowed in the lift is 355kg, then:
15400 - (520 + 355)*9.8 = (520 + 355)*a
Then a = 7.8ms^-2
Now, did the question say accelerate at 7.8ms^-2 and not decelerate?
absolute life-saver! thanks so much :)
big up mr TL
Thank you, this is so helpful!
Thanks a lot sir, extremely helpful!
I think:
cos^2(A)= 1/2(1+cos2A), and, sin^2(A)= 1/2(1-cos2A)
Are both pretty helpful for integration by substitution
Best video ever math geek
I think you were meant to include the LOGa(X) = (LOGbX/LOGbA) one too
No, you don't need to know the log base changing formula for A-Level Maths. I've never taught it.
do we need to know how to derive any of the formulas
You may be asked to derive the SUVAT equations or the Compound Angle Formulae
Thank you so much!
God bless you
Thank you for this video! 😁❣️
Appreciated mate
really helpful thanks! God Bless
you're the best man
thank you so much
this is so helpful, thank you!
just one question - for things like volume of a cylinder or cone etc is this ever given or is it something worth learning
You’d be expected to know the volume of a cylinder definitely. You are likely to be given the volume of a cone.
thank you!! this is amazing!
wonderful
Thank you so much for this video :))
Hi I was wondering when answering a question that’s asks for the answer to be in y=mx+c how would you use the y-y1=m(x-x1) to get it into that form
Let's say you know the gradient of a line is 2 and the line passes through the point (1,3).
Then the equation of the line is y - 3 = 2(x - 1)
Then just rearrange as necessary: y - 3 = 2x - 2
So y = 2x + 1
@@TLMaths Oh of course. As always Thanks you have been a great help!
Thanks for making this
Hello Mr Brown, I'm finding these videos very useful, do you have any questions that are arranged by topic for the OCR MEI specification?
sites.google.com/site/tlmaths314/home/a-level-maths-2017
Hi I was wondering if we need to know about trigonometric substitution for OCR MEI as I sae a question on it in a specimen paper.
Great video btw.
Using a trig identity?
@@TLMaths integration using trigonometric substitution.For example substituting asin(theta) instead of x
If it did, you would be the told the substitution to use. You'd then use the normal steps of integration by substitution to get to the answer (so you would start by finding dx/d(theta) for example)
are these the ones not given in the booklet
Yes that's right
Hi, what about for projectiles? E.g equation for trajectory and max height.
I wouldn't memorise those formulae
hey, do you think it's possible (by self teaching the entire a level alongside uni) for me to get an a grade or around an A*
I'm sure it's possible for some people to do that - not easy though
Hi Jack, do we need to learn the integral of cosec^2x (cosec squared x)? Thank you
No. In the formulae booklet you should see that cot(x) differentiates to -cosec^2(x), so cosec^2(x) integrates to -cot(x) + c
So does this mean that we are given the chain, product and quotient rules? :-) thanks
You're not given the chain and product rules. But you are given the quotient rule.
Is there a crib-sheet available for your final whiteboard please?
Apart from a screen-shot, no.
@@TLMaths Many Thanks
do you have VIDEO of solution of AQA maths a level 2019 & 2020 PAPER 1,2,& 3
No, not yet
@@TLMaths can i ask when are you planning to do this
As your videos are really helpful
Unfortunately, it looks like this may never happen. I have had to pull all of my AQA exam paper walkthroughs for the time being as they're being very strict on copyright, even for papers freely available through their website.
@@TLMaths ok no problem
thanks
don't you need to know formulas of volume and areas of shapes for modelling with differential equations ???
In the majority of cases, these formulae are given in the exam e.g. volume or surface area of a sphere. I agree though that it is useful to know them should the exam question omit it.
whats the point of learning that trig triangle when we have calculators, it shows the exact values on the display
also i'm just gonna derive those 2 identities and the double angles cause i have enough stuff to memorize, should i just derive and write them down at the beginning of the paper when we're allowed to start or do you recommend seeing if they're needed
The calculator shows the exact values, but it will rationalise the denominator. So for cos(45), your calculator will give sqrt(2)/2 rather than 1/sqrt(2). There have been previous exam questions where recognising a ratio like 1/sqrt(2) can be traced back to a right-angled triangle has been important. There have been exam questions that ask you to 'use appropriate right-angled triangles', which may or may not refer to these two. A question like 'Given that sin(A)=8/11 and A is acute, find the exact value of cos(A)' - you need to draw a right-angled triangle (or use an identity), as your calculator can't give you the required exact value. The two triangles are a memory aid for this.
You're definitely going to need them at some point, so if it's easiest for you to write them down as soon as you can, then do so. Just make sure you're careful where you write them - cross them out if they're nothing to do with Q1 (for example!)
What about complex numbers?
Complex Numbers are not in England's A-Level Maths specification. They are in Further Maths.
Hey was wondering if you can do these videos for aqa as well?
This is AQA, Edexcel, OCR, OCR MEI
TLMaths yes I meant questions from papers like what you are doing for OCR, I think It would be very helpful for my revision.
I've done AQA, Edexcel and OCR so far, browse them through my website: sites.google.com/site/tlmaths314/home/a-level-maths-2017/exam-papers
TLMaths yes, thank you 😊
dont we need the double angle formulae?
5:55
Are all of these the equations we have to learn. None of these are given?
You're given that tan(x) differentiates to sec^2(x). You're not given the rest.
@@TLMaths I've got a mock on Friday. Mainly AS and some start of A2 and I'm really struggling. Any tips?
If you're struggling, don't try and revise absolutely everything otherwise you're likely to spread yourself too thin and it won't go in. Focus on 3-4 topics you know are coming up and revise them.
@@TLMaths what topic areas would u recommend to revise. What are the hardest ones
Don't you know what's on the test? Revise topics you know that are coming up - choose three and focus on those. No point going straight for the hardest topics if you're not confident - focus on those you're 25-50% happy with.
hi sir,
if i watch and understand all the alevel maths videos you have made, do you think i can get an a*
You won't get an A* BECAUSE you've all the videos - that would be just passive learning. You need to actively engage with them, pause the video and attempt the problem before I go through it, then you'd have to go through as many exam questions as you can possibly get your hands on, plus try extension material so you test yourself in unfamiliar situations. It's a lot more than just watching videos I'm afraid.
Is this the same for all exam boards?
yes
great video, i know what you missed, myo=np and sigma = np(1-p)
That’s already in the formula booklet
But late but one more people need to know is sinx +pi/2 = cosx
Make sure you've got a bracket there: sin(x + pi/2) = cosx
But this can be derived straight from the compound angle formulae in the formulae booklet:
sin(x + pi/2) = sin(x)cos(pi/2) + cos(x)sin(pi/2) = 0*sin(x) + 1*cos(x) = cos(x)
@@TLMaths ah yea fair enough then
Just a quick question is there anything i can do over the summer to prepare for the Jump between A Level Maths and GCSE Maths i am starting A Level maths in september for OCR MEI
This book isn't too bad: www.amazon.co.uk/Bridging-GCSE-level-Maths-Student/dp/0008205019/ref=sr_1_fkmrnull_1?crid=16QLZR9ZMAOA7&keywords=bridging+gcse+and+a-level+maths+student+book&qid=1555617803&s=gateway&sprefix=a-level+maths+bridging%2Caps%2C447&sr=8-1-fkmrnull
Best to focus on linear graphs / coordinate geometry, surds and indices, and quadratics in the run-up I would say.
TLMaths thanks for the recommendation
@@LeeLarner just watch his videos they are really easy to understand you will be ahead of everyone
@@LeeLarner ensure to actively revise. notes may not do that
another useful one is that variance = (np)(1-p)
I didn't include that as it's given in the formulae booklet
isin't the variance the standard deviation square rooted? not squared?
Variance = (standard deviation)^2