Looking back at High School Work for Uni? (1 Viewer)

[itszen]

Hey there, my question is when in uni do you sometimes look back or revise your high school subjects in order to understand some of the bits of university work? Say for example your studying Health Sciences and are there bits of high school work you need to understand? Or is uni work completely different or does the uni provide the essentials of high school work for you at the beginning of the course? I hope my question isnt confusing. >_<

 

[iSplicer]

You've got a long way to go yet, my friend =]

But for every unit they teach, they cover the fundamentals (the stuff you learn in high school), so don't worry. The only problem is, they go through it VERY quickly!

 

[ultraman8]

Nope never that's why you need to consolidate a good foundation. You would probably be better off reading uni textbooks about somethings you are unsure about.

 

[Shadowdude]

So I probably shouldn't break out my 4u textbook and start doing exercises to get into the mathematics frame of mind again?

 

[Absolutezero]

You could as a refresher, but its probably not necessary.

I've looked over some of my notes for uni. But that's only because the essay question I was doing was a topic I had already covered in highschool.

 

[hollyy.]

ive never had the need to look at any hsc things for uni. i chucked out all my notes anyway. the only things that would have been useful to me would be maths rules that ive forgotten but you can alway just google stuff like that.

 

[ajdlinux]

You don't really need to look over HSC notes at all, although I guess they could be useful if you've covered very similar work particularly for humanities. Anything else you need to revise, you can do from your uni texts, and if you need any more resources you either find them online or use these wonderful things called university libraries.

 

[Absolutezero]

University access to databases makes research much easier as well.

 

[Studentleader]

So I probably shouldn't break out my 4u textbook and start doing exercises to get into the mathematics frame of mind again?

Google:

Calculus:
Mean Value Theorm
Rolle's Theorm
L'Hopital's Theorm (Easy and Hard proofs)
Principle of Mathematical Induction
Integration by parts
Laplace Transformations (The hardest thing you will do.)

Linear Algebra:
Subspaces
Invert a 3x3 matrix by hand (few ways to do this.)

Stats:
Bayes' Theorm
Hypothesis testing (p-values etc.)

Just go to uni one day - rock up to the library and read Thomas' Calculus.

 

[red-butterfly]

Nah I didn't need to look at my HSC stuff.

I guess the only thing I used was maths formulae as well as a couple of maths methods.
Chemistry 1 was pretty much the same as HSC chem with just a little more added on...

 

[myst1fy]

completely useless imo

 

[Shadowdude]

Google:

Calculus:
Mean Value Theorm
Rolle's Theorm
L'Hopital's Theorm (Easy and Hard proofs)
Principle of Mathematical Induction
Integration by parts
Laplace Transformations (The hardest thing you will do.)

Linear Algebra:
Subspaces
Invert a 3x3 matrix by hand (few ways to do this.)

Stats:
Bayes' Theorm
Hypothesis testing (p-values etc.)

Just go to uni one day - rock up to the library and read Thomas' Calculus.

Thanks studentleader! Though you think I can just walk in and read books there? Wouldn't they... ask if I have a library card or something?

 

[Absolutezero]

You should be able to get in to read them. You just won't be able to borrow any.

 

[Studentleader]

Thanks studentleader! Though you think I can just walk in and read books there? Wouldn't they... ask if I have a library card or something?

Yeah just don't drink coffee in there or do stupid shit.

Introduction to Topology and Modern Analysis is alright but that will probably go over your head.

Look at Khan's Academy maybe or MIT Open Courseware

Also: http://hbpms.blogspot.com/

Edit: First year maths is A LOT different to year 12 for a few reasons:

1) Focus on theorms
2) You get shit all exercises (i.e. one of my exam questions was use KTT condititons to solve a multivariable optimisation problem - I had only done one of these questions before the exam)
3) Most people cbf studying past exams apart from finding out what questions are always asked.

 

[deterministic]

Google:

Calculus:
Mean Value Theorm
Rolle's Theorm
L'Hopital's Theorm (Easy and Hard proofs)
Principle of Mathematical Induction
Integration by parts
Laplace Transformations (The hardest thing you will do.)

Linear Algebra:
Subspaces
Invert a 3x3 matrix by hand (few ways to do this.)

Stats:
Bayes' Theorm
Hypothesis testing (p-values etc.)

Just go to uni one day - rock up to the library and read Thomas' Calculus.

Dont forget:
eigenvalues and eigenvectors (linear algebra)
a bit of complex numbers
Dealing with vectors in n dimensional space
RIGOROUS and FORMAL epsilon delta definition of limits

Most of the said theorems mentioned in calculus are very intuitive and can be seem through graphs (Intermediate Value theorem is essentially what was used in 3 unit halving interval method of approximation). However, it is important to be able to apply the theorems in a formal and rigorous way.

and if doing a first year discrete maths course, there is a huge focus on logic and proofs, number and set theory.

 

[iSplicer]

Google:

Calculus:
Mean Value Theorm
Rolle's Theorm
L'Hopital's Theorm (Easy and Hard proofs)
Principle of Mathematical Induction
Integration by parts
Laplace Transformations (The hardest thing you will do.)

Linear Algebra:
Subspaces
Invert a 3x3 matrix by hand (few ways to do this.)

Stats:
Bayes' Theorm
Hypothesis testing (p-values etc.)

Just go to uni one day - rock up to the library and read Thomas' Calculus.

Thanks mate - repped.

 

[Studentleader]

Dont forget:

eigenvalues and eigenvectors (linear algebra)

a bit of complex numbers

Dealing with vectors in n dimensional space

RIGOROUS and FORMAL epsilon delta definition of limits



Most of the said theorems mentioned in calculus are very intuitive and can be seem through graphs (Intermediate Value theorem is essentially what was used in 3 unit halving interval method of approximation). However, it is important to be able to apply the theorems in a formal and rigorous way.



and if doing a first year discrete maths course, there is a huge focus on logic and proofs, number and set theory.

Eigenvectors and Eigenvalues is a good thing to mention which I forgot - mind you I have forgotten all about them.
I didn't do any complex numbers though I think over east you do a bit.
Vectors in n dimensional in first year is basically an extension of R^2.

The eplison and delta limits should be in R^2 ONLY. Extending it to R^N won't be done until real analysis in your second year.
This defn is
lim f(x) = L <=> \-/ e > 0 e R E d > 0 e R : 0 < | x - p | < d => | f(x) - L | < e
x->p

Learning what this means in english is VERY IMPORTANT

i.e. http://en.wikipedia.org/wiki/Limit_of_a_function#Functions_on_the_real_line

Also add limit of a sequence to that list.

Don't worry too much about the discrete stuff.