You are AMAZING! Thank you so so much for all of your hard work😁You're videos have helped me feel so prepared and less stressed for year 12! Not to put any pressure on you because you deserve a fantastic break, but do you reckon you would consider making some specialist maths 3/4 videos? Wish you the best for 2023!
Hi Em, I'm so glad that you've found my videos helpful. Unfortunately, there's no plan to record Specialist videos at this time. I actually haven't taught the course, so don't have the resources to produce the videos right now. Best wishes for your studies!
Hi, thanks for your videos really helpful. Just wanted to ask if you can upload the new study design of 2023 Maths Methods, or like cover a topic which will be new for next year? Thanks.
There's very little changing in the new study design. It's always just tweaks in Maths, which is why they can bring in the changes to Units 1-4 all at once. All of my videos will still be relevant (except the ones involving matrices). There's no need to upload a whole new course of videos for 2023.
When integrating 1/x (or any similar integral), is it necessary to add the modulus for the log? E.g. integral of 1/x would be ln(|x|) - is that modulus required? I tend to forget about it.
Technically, unless the function has a domain restriction that ensures that the denominator of the original function is positive, then yes, your integral would need the modulus signs, otherwise it's not correct. For example, if you're asked to integrate 1/x where x>0, then the answer is just log_e (x) (but log_e |x| is also correct in this case). However, if the statement of x>0 isn't there then the answer must be log_e |x|. Hence why it's safer to get into the habit of always writing the modulus signs. Having said that, now that the modulus is no longer part of the Methods course, VCAA always include a domain which ensures that you don't need to include the modulus signs.
Hi LMK maths, thanks so much for your videos!! They really saved me both yesterday and today 😊 just a quick question: if the question asked ‘give 4 solutions’ and then I wrote in one line x = bla bla (2 solutions) and then on my last line I wrote x = (5 solutions), I know now that the assessor will not give any marks based on those last 5 solutions since it asked for 4, but since on an earlier line I wrote x =…(2 solutions), then can I still gain any mark for that? Thanks!
It's hard to know how the marks would be allocated. To answer the question, you first need to recognise that if g'(x)=0, then 2cos(2x).f'(sin(2x))=0 and this means that: 2cos(2x)=0, hence x=pi/4, 3pi/4 Or f'(sin(2x))=0 For this you need to recognise from table that f'(sqrt(2)/2)=0, hence sin(2x)=sqrt(2)/2, which means that x=pi/8, 3pi/8 The 3 marks could be: 1 mark for 2cos(2x)=0 leading to x=pi/4, 3pi/4 1 mark for f'(sin(2x))=0 leading to sin(2x)=sqrt(2)/2 1 mark for final 2 solutions of x=pi/8, 3pi/8 Alternatively, the 3 marks could be; 1 mark for recognising that the Null Factor Law means that you need to solve 2cos(2x)=0 and f'(sin(2x))=0 1 mark for x= pi/4, 3pi/4 1 mark for x= pi/8, 3pi/8 Hence, it's hard to answer your question without knowing: a. How VCAA decide to allocate the marks b. Whether the two solutions you got were correct and whether you understood the method needed to find the second two solutions.
i know matrices transformations aren't in the study design anymore but can someone explain to me for question 9b why the dilation is from the x axis not the y axis thanks
Can I suggest that you back to my transformations playlist in order to properly understand this. It's pretty important, but hard to explain in a textbox without any diagrams or mathematical notation. ua-cam.com/play/PLyOCXF304crZ307NAe8hQdywTlt75dQti.html&si=DRN3Arc1waxh0pYf
really helped! Last night before MM exam～And wish we can get high MM score everyone who are here❤
Good luck!!!
As a fellow Maths Methods teacher, your content is amazing and you're doing amazing work.
Thanks so much LMK!
Thanks, Stephen. Lockdown and online learning turned out to be good for something! I hope your students go well over the next couple of days.
@@LMKMaths Wishing your students the same too, Leah. Thanks again for the amazing content!
You are AMAZING! Thank you so so much for all of your hard work😁You're videos have helped me feel so prepared and less stressed for year 12! Not to put any pressure on you because you deserve a fantastic break, but do you reckon you would consider making some specialist maths 3/4 videos? Wish you the best for 2023!
Hi Em,
I'm so glad that you've found my videos helpful. Unfortunately, there's no plan to record Specialist videos at this time. I actually haven't taught the course, so don't have the resources to produce the videos right now. Best wishes for your studies!
@@LMKMaths Thank you so so much and that is all good, you have helped so many people😊Have a great year❤
Is it okay to use ln(x) instead of loge(x) in methods exams and even specialist for that matter ? Thanks
ye u can
Yes, definitely.
Hi, thanks for your videos really helpful. Just wanted to ask if you can upload the new study design of 2023 Maths Methods, or like cover a topic which will be new for next year? Thanks.
There's very little changing in the new study design. It's always just tweaks in Maths, which is why they can bring in the changes to Units 1-4 all at once. All of my videos will still be relevant (except the ones involving matrices). There's no need to upload a whole new course of videos for 2023.
Thank you this helped a lot
can you do the 2021 vcaa exam 2 too?
I'll try, but I might not have time this year. I'm in a new role now, and this is my peak busy time!
Thank you so much!!!😀
When integrating 1/x (or any similar integral), is it necessary to add the modulus for the log? E.g. integral of 1/x would be ln(|x|) - is that modulus required? I tend to forget about it.
Technically, unless the function has a domain restriction that ensures that the denominator of the original function is positive, then yes, your integral would need the modulus signs, otherwise it's not correct. For example, if you're asked to integrate 1/x where x>0, then the answer is just log_e (x) (but log_e |x| is also correct in this case). However, if the statement of x>0 isn't there then the answer must be log_e |x|. Hence why it's safer to get into the habit of always writing the modulus signs. Having said that, now that the modulus is no longer part of the Methods course, VCAA always include a domain which ensures that you don't need to include the modulus signs.
Hi LMK maths, thanks so much for your videos!! They really saved me both yesterday and today 😊 just a quick question: if the question asked ‘give 4 solutions’ and then I wrote in one line x = bla bla (2 solutions) and then on my last line I wrote x = (5 solutions), I know now that the assessor will not give any marks based on those last 5 solutions since it asked for 4, but since on an earlier line I wrote x =…(2 solutions), then can I still gain any mark for that? Thanks!
It's hard to know how the marks would be allocated. To answer the question, you first need to recognise that if g'(x)=0, then 2cos(2x).f'(sin(2x))=0 and this means that:
2cos(2x)=0, hence x=pi/4, 3pi/4
Or
f'(sin(2x))=0
For this you need to recognise from table that f'(sqrt(2)/2)=0, hence sin(2x)=sqrt(2)/2, which means that x=pi/8, 3pi/8
The 3 marks could be:
1 mark for 2cos(2x)=0 leading to x=pi/4, 3pi/4
1 mark for f'(sin(2x))=0 leading to sin(2x)=sqrt(2)/2
1 mark for final 2 solutions of x=pi/8, 3pi/8
Alternatively, the 3 marks could be;
1 mark for recognising that the Null Factor Law means that you need to solve 2cos(2x)=0 and f'(sin(2x))=0
1 mark for x= pi/4, 3pi/4
1 mark for x= pi/8, 3pi/8
Hence, it's hard to answer your question without knowing:
a. How VCAA decide to allocate the marks
b. Whether the two solutions you got were correct and whether you understood the method needed to find the second two solutions.
@@LMKMaths Thanks so much!
THANK YOU SOOOOOOOOOOOOOOO MUCHHHHH!!!!
You're welcome!
i know matrices transformations aren't in the study design anymore but can someone explain to me for question 9b why the dilation is from the x axis not the y axis
thanks
Can I suggest that you back to my transformations playlist in order to properly understand this. It's pretty important, but hard to explain in a textbox without any diagrams or mathematical notation.
ua-cam.com/play/PLyOCXF304crZ307NAe8hQdywTlt75dQti.html&si=DRN3Arc1waxh0pYf
For q8 b, is it okay if we double differentiate like specialist to find the nature of the stationary point in the methods exam? And thank you smm :))
Yes, second derivative is fine in Methods.