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VCE Maths with Mr Lim
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Добавлен 25 авг 2020
Helpful videos for VCE Mathematics
Which VCE Specialist Maths Exams were HARDEST? (plus Methods, General and more...)
Link to Charts of VCAA Grade Distributions for 40+ subjects
10minutequiz.com/vcaa-grade-distributions/
More videos on VCE Specialist Maths:
0:00 How do VCE Grade Distributions work?
4:25 Which VCE Subjects are most (and least) popular?
5:15 2021 Specialist Maths Exam 2
16:57 2017 Specialist Maths Exam 1
10minutequiz.com/vcaa-grade-distributions/
More videos on VCE Specialist Maths:
0:00 How do VCE Grade Distributions work?
4:25 Which VCE Subjects are most (and least) popular?
5:15 2021 Specialist Maths Exam 2
16:57 2017 Specialist Maths Exam 1
Просмотров: 422
Видео
VCE Study Scores, SAC Moderation and Scaling - How it Works (2024)
Просмотров 54814 дней назад
Link to my study score calculator: 10minutequiz.com/exam-and-study-score-calculator/ Link to VTAC documentation on study score scaling: vtac.edu.au/atar-scaling-guide-2024.html Link to VCAA documentation on SAC moderation: www.vcaa.vic.edu.au/assessment/vce-assessment/how-vce-assess/how-pages/Pages/StatisticalModeration.aspx 0:00:00 Intro 0:00:21 Moderation vs Scaling 0:01:16 VCE Study Score Sc...
Deceptive Complex Numbers Problem
Просмотров 336Месяц назад
Here is a nice complex numbers problem that is trickier than it first appears... A square in the complex plane has vertices at 1, i, -1 and -i. Prove that for any two complex numbers u and v within the square, their product uv also lies within the square. Here is the link to the StackExchange post about a polygon in the complex plane: math.stackexchange.com/questions/4892153/is-multiplication-o...
Hard MC Question from the 2024 Gao Kao (China)
Просмотров 1,6 тыс.Месяц назад
This MC question on Functions and Transformations was Question 10 of the 2024 New Gao Kao Paper 1 (新高考一卷) Here is a link to the entire paper: www.gk100.com/read_24162430.htm
Specialist Maths - from 🍰 EASY to HARD 🔥
Просмотров 1,3 тыс.Месяц назад
Specialist Maths - from 🍰 EASY to HARD 🔥
ALL the Integration Techniques You Need For Specialist Maths
Просмотров 8482 месяца назад
Integration is a large and important part of the VCE Specialist Maths course. The 6 techniques listed in the Study Design are: - anti-differentiation of 1/x to obtain log_e |x| - anti-differentiation using derivatives of inverse circular functions - use of the substitution u=g(x) - use of the trigonometric identities in anti-differentiation techniques - anti-differentiation using partial fracti...
Where are Secant and Cosecant on the Unit Circle?
Просмотров 4183 месяца назад
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions.
3 Nice Vector Questions (Multiple Choice)
Просмотров 3035 месяцев назад
3 Nice Vector Questions (Multiple Choice)
KILLER Complex Numbers Question (HSC 2023)
Просмотров 2,8 тыс.9 месяцев назад
This question from the recent HSC Maths Extension 2 Exam tests is on Complex Relations in the Argand plane. This is also covered in VCE Specialist Mathematics (although it's unlikely you would have something this difficult on your exam next week - I hope!). Good practice anyway if you're keen for a challenge. IMHO there is also an ambiguity in the question that I address at the end of the video.
Proof in Specialist Maths - Explaining the Basics
Просмотров 1,7 тыс.9 месяцев назад
This video introduces the Logic and Proof concepts in VCE Specialist Mathematics (2023 - 2027): • conjecture - making a statement to be proved or disproved • implications, equivalences and if and only if statements • natural deduction and proof techniques: direct proofs using a sequence of direct implications, proof by cases, proof by contradiction, and proof by contrapositive • quantifiers ‘fo...
2023 Spec Exam 2 MC Without Pen or Paper! 😲 (only CAS)
Просмотров 2,2 тыс.10 месяцев назад
2023 Spec Exam 2 MC Without Pen or Paper! 😲 (only CAS)
2023 VCAA NHT Spec Exam 1 - An Interesting Integral
Просмотров 56210 месяцев назад
2023 VCAA NHT Spec Exam 1 - An Interesting Integral
Sum of Normal Random Variables Example
Просмотров 16810 месяцев назад
Sum of Normal Random Variables Example
Hypothesis Testing - Explained Like Never Before 😎🤩🤗
Просмотров 41710 месяцев назад
Hypothesis Testing - Explained Like Never Before 😎🤩🤗
Type 1 and Type 2 Errors in Hypothesis Testing #math #stats
Просмотров 1,4 тыс.10 месяцев назад
Type 1 and Type 2 Errors in Hypothesis Testing #math #stats
Common errors to avoid in your Specialist Maths exams
Просмотров 2,5 тыс.Год назад
Common errors to avoid in your Specialist Maths exams
VCE Specialist Maths HARDEST Questions - Calculus
Просмотров 2,5 тыс.Год назад
VCE Specialist Maths HARDEST Questions - Calculus
VCE Specialist Maths HARDEST Questions - Complex Numbers
Просмотров 7 тыс.Год назад
VCE Specialist Maths HARDEST Questions - Complex Numbers
VCE Specialist Maths: HOT tips for the TI-nspire CAS
Просмотров 2 тыс.Год назад
VCE Specialist Maths: HOT tips for the TI-nspire CAS
CAS Calculator Tips for VCE Specialist Maths - Calculus
Просмотров 1,7 тыс.Год назад
CAS Calculator Tips for VCE Specialist Maths - Calculus
VCE Specialist Maths HARDEST Questions - Probability and Statistics
Просмотров 2,1 тыс.Год назад
VCE Specialist Maths HARDEST Questions - Probability and Statistics
UPLIFTING Trigonometry Song about the Unit Circle & Exact Values for Sin, Cos, Tan
Просмотров 1,9 тыс.Год назад
UPLIFTING Trigonometry Song about the Unit Circle & Exact Values for Sin, Cos, Tan
UNDERSTAND the Trigonometry Exact Values for Sin, Cos, Tan
Просмотров 6 тыс.Год назад
UNDERSTAND the Trigonometry Exact Values for Sin, Cos, Tan
Crazy how much impact the school you go to has on the study score. Why can't VCAA write sacs for each subject and make all schools do the same SACs?
Yes I think the fairest would be a common exam at the end of Unit 3 and another one at the end of Unit 4. Not gonna happen any time soon though...
Also, how much of an influence is the school you go to on your atar and study scores? I don't live in Melbourne so will this be a negative impact?
It's not so much to do with whether the school is suburban or rural, it's more the performance of the students from your school on the exam. For example, if you were in the bottom 50% of your school in the SAC and your school is the bottom 50% of the State in the exam, your SAC would be moderated to bottom quartile. It's the only fair way to do it.
@@MathsWithMrLim Yeah, I guess there's not really any other way. Thanks
Het, thanks for the video but the quiz isn't really up to date. My school is new so it is not available as one of the options and I tried another nearby school but it wasn't available either maybe because it changed its name about 10 years ago? Also, studio arts doesn't exist anymore it's now called Art - Making and Exhibiting and I noticed there was quite a few subjects missing like all the languages. Still a useful tool though for some subjects, so thanks for that. Also thanks for your explanations.
Sorry I mean 'Hey', not 'Het'!
Thanks, I made some more updates and added a bunch of other subjects. School estimates are hard, especially for new schools and small schools. I used VCAA data from 2023 for the school list, so if your school is brand new this year then it won't be there yet.
@@MathsWithMrLim Okay, cool. Yeah, my school only opened in 2020 with my year being the first so we won't have any results until the end of this year then.
@@MathsWithMrLim Oh my gosh, thanks so much, I just checked and it now has my school! Thanks
Are you the person that made the quiz? Literally every year 12 at my school (Ironically, Glen Waverley Secondary College) spends like half their time on it 😂.
yes I made it. Haha Glen Waverley! I picked the right example then 😂
Thanks Mr.Lim!!! 😜
My pleasure 🤗
Q7 (arc length) answer should be D. Working in video is correct... CAS error!! Thanks @BrodieMitch for pointing this out
4:10 my cas is giving me answer C and I have no idea what I am doing wrong. I have copied you answer in twice and I am on radians but it still gives me the wrong answer
what, I switched to degrees and it gave me answer D but the cas in the video is on radians
the answer is C on the exam report
You are correct. My mistake, thanks for pointing it out!!
Pretty crazy
Very crazy
Honestly i didn't understand the chinese but i did understood ur explanation its tricky but ok type of question but ik gaoko is more hard than this much more ig u have my respect for solving them .
Richard Zheng said hi
great vid!
Thanks!
I’d argue Q11 in MC is harder/more difficult to understand but Q10 does overlap well with VCE transformation knowledge😮
agree
Agreed
THATS MY MATHS TEACHER
Hello! 🤗
Russel, this is a surprising video…Never know you are interested in 高考!😂
Thanks Peideng, yes it's a fun challenge for me... I definitely don't envy the students who have to sit that exam!! 😅
@@MathsWithMrLim To be honest, from my own schooling/teaching experience in both Victoria and China, I would say the VCE MM/SM exams, in some ways, are harder than the Chinese math exams, in terms of the breadth of contents. There is only one place in China allowing calculator use for maths exam but only the scientific ones.
Great video on specialist mathematics!
谢谢 thank you 😊
This exam is just a joke before jee
At 19:26 you said the answer was E But the point (b,1) is not on our line because f(b) = -1 ??
Absolute value of any function maps all negative y values to the same positive values. Basically every negative point is flipped about the x-axis. f(b) = -1, but since we’re looking at the absolute value function, it’s |f(b)| = |-1| = 1.
@@jjazz3 Real shit i did not see the absolute value sign my fault
You got it. Tricky question.
OMNOMNOMNOMNOMNOMNOM
hello bro
Cookie monster?
excellent lesson thank you!
🤗
where am I
THANK YOU SO MUCH! This was so helpful
My pleasure😊
Also for the first question, could you have used the difference of two squares, for 1/2(AB+AC)(AC-AB) = 0 simplifying to -> 1/2(|AC|^2 - |AB|^2) ? And why are you able to just multiply by 1/2, when zero is on the other side???? thanks!
Yes difference of squares is fine, so long as you write the mod sign as you did. And the 1/2 won't make a difference, because as you say the expression is equal to zero
thanks !
Simplest method is the second one
so that’s why it called a TANGENT
That's it ☺️
Nice
Very nice. Great animation.
Thank you snackbandit 🥰
thanks! these videos are extremely helpful
Appreciate that cyberduck ☺️
Thank You so much for the explanations
This was such a nice video, hahaha loved the purple-haired guy. Thank you sir!!
And thanks to you too @lilydewdrop for your kind words ☺️
It's so much fun to go through these questions with you, like all the memories starting to come back. Definitely great work!
That's very kind of you ☺️
Quite often examination boards put a significantly harder question at the end of the paper. A well prepared student will be able to get a very good grade without answering it. The purpose is to sort the good from the exceptionally able. The press on another day might easily be critical of what they judge to be a question that is too easy, serving an analogous function for less able or prepared students.
Agree 100% 😀
this is by far the best thing i have seen , please keep doing this series
A u sub of u equal to ln(ln) would have been more effective here wouldn't it?
u = ln(lnx) du = 1/x * 1/lnx dx dx = xlnx du when x = e, u = ln(1) = 0 when x = e^2, u = ln(ln(e^2)) = ln(2) ∫e^{e^2} (ln(lnx))/(xlnx) dx = ∫0^ln(2) u/(xlnx) * xlnx du = ∫0^ln(2) u du = 1/2[u^2]0^ln2 = 1/2(ln2)^2
amazing 🙏🙏🙏 your videos are a godsend!!
Thanks so much. All the best for your exams
So many tricks, real time savers! Thank you so much!
You're welcome surfing goose ! 😁
Really helpful definitely reshot my memory back for a few things. Also learnt a bit.
Without visualising, how do we know if we want the obtuse angle or the acute angle? Thanks.
Convention is to always give the acute angle
For the 1% question, would it be necessary to say , Re(conj(a)) does not equal -2? Because if it is -2 which is on the line then B technically cannot exist right?
Nice observation Peter. You are correct, although we are probably fine without mentioning that. The question told us the line exists and said "find b in terms of a" , not "find all values of a and b for which the line exists"
for the first section where you were talking about proofs, will your conclusion "by induction, statement is true for all n elements of natural numbers" still be able to obtain a mark in the actual upcoming specialist maths exam?
Yes Holdstill, I think that final statement is clear enough.
im just a little methods kid why am i here
Haha well if methods kids go on to study engineering they still end up learning complex numbers
Until my exam I think I may have to watch. this many times haha
Thanks ☺️ but just watch each video once then do more practice questions!! 🤣
Thank you mr lim! I can remember them like this haha!
很好,你这样说我就满意了😁
Can’t x be equal to y though because the reflection is never truly on the horizontal axis?
Agreed. Well done and thank you for pointing that out. Again, I'm glad I didn't have to sit this exam! 😅
at 4:42, shouldn't arccos(1) = 0? thus leaving us with pi(0--pi) = pi(pi) = pi^2, as opposed to 2pi^2?
You are correct hardstuck! The answer of 2pi^2 is correct, but i have 2 errors in the method. There is an x missing in the square bracket, which should have been x.arcos(x/2) (from part a.). Then error with arcos(1) you mentioned. These errors happen to cancel to give the correct answer.
@@MathsWithMrLim yep, I see that now. thanks for all the videos you guys do!
Hey what are your predictions for any hard questions to pop up for this years VCAA spesh exam?
Exam 1 probably a tricky integral - maybe surface area integral. Don't forget modulus when integrating logs or simplifying sqrt((ax+b)^2) - that's a common gotcha.
@@MathsWithMrLim wait how to simplify sqrt((ax+b)^2)
@@evan.5967 abs(ax+b)
Will we need to know Unit 1/2 content for the 3/4 exam next year?
Good question Electro Vertex. Unit 3/4 exams usually focus on Unit 3/4 content. Some Unit 1/2 content is also a big part of 3/4, such as complex numbers, vectors, proof. Other concepts such as logic gates, graph theory, combinatorics don't come up again in 3/4 so these are very unlikely to appear on exams.
🤪 'Promosm'
what
the goat
Love your content man! Entering 3/4 Spec next year and these are some good tips. Keep it up!
Thanks Pentatonic 😁