Maths for Uni?

[arcanum00]

naturally... it is not meant to cover all the material in stats with sufficient depth (i doubt such book exist)... but is a very good book for lower level stats students, it covers alot of famous examples and give the student alot of exposure to very useful techniques for doing stats or probability.... i find myself referring back to it from time to time when im doing higher lvl stats modules.

No doubt it is a good book to me, as mentioned in my previous post.

For books which also cover inference, one can also try:
Miller & Miller
John E. Freund's Mathematical Statistics with Applications (8th Edition)
Amazon.com: John E. Freund's Mathematical Statistics with Applications (8th Edition) (9780321807090): Irwin Miller, Marylees Miller: Books

Wackerly, Mendenhall & Scheaffer
Mathematical Statistics with Applications (7th Edition)
Amazon.com: Mathematical Statistics with Applications (9780495110811): Dennis Wackerly, William Mendenhall, Richard L. Scheaffer: Books

Larsen & Marx
Introduction to Mathematical Statistics and Its Applications (5th Edition)
Amazon.com: Introduction to Mathematical Statistics and Its Applications (5th Edition) (9780321693945): Richard J. Larsen, Morris L. Marx: Books


For books covering Statistical Inference (cover some elementary probability as well), one can also try:
Wasserman
All of Statistics: A Concise Course in Statistical Inference
All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics): Larry Wasserman: 9780387402727: Amazon.com: Books

Casella & Berger (7th Edition)
Statistical Inference
By George Casella - Statistical Inference: 2nd (second) Edition: Roger L. Berger, Roger L. Berger George Casella: 8580000760385: Amazon.com: Books


For books covering Statistics with emphasis on applications, one can also try:
Moore, McCabe & Craig
Introduction to the Practice of Statistics (7th Edition)
Amazon.com: Introduction to the Practice of Statistics: w/Student CD (9781429240321): David S. Moore, George P. McCabe, Bruce Craig: Books

Anderson, Sweeney & Williams
Statistics for Business and Economics (11th Edition)
Amazon.com: Statistics for Business and Economics (9780324783247): David R. Anderson, Dennis J. Sweeney, Thomas A. Williams: Books

Newbold, Carlson & Thorne
Statistics for Business and Economics (8th Edition)
Amazon.com: Statistics for Business and Economics (8th Edition) (9780132745659): Paul Newbold, William Carlson, Betty Thorne: Books


For books covering Survey Sampling & Design, one can also try:
Scheaffer et al.
Elementary Survey Sampling (7th Edition)
http://www.amazon.com/Elementary-Su...=1419407905&sr=1-1&keywords=elementary+survey

Lohr
Sampling Design and Analysis (2nd Edition)
Amazon.com: Sampling: Design and Analysis (Advanced Series) (9780495105275): Sharon L. Lohr: Books

 

[arcanum00]

I totally agree with this

Back in JC, my lecturer took about a couple of lectures to finish going through complex numbers but now... The lecturer just take like 2h to finish the entire chapter

I thought it's like this:

Just for laugh.

Merry Christmas!

 

[AhPORK]

Like this:

Ya, kinda. Most of the prof will just assume that all of us have learnt that in college so if you're from poly, I think you'll have to put in a bit more effort bah

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[arcanum00]

Just for laugh.

Merry Christmas!

 

[livilivi]

Hahahaahaha thanks for that last pic ohmy. Hmmm, yeah at first i didnt wanna go to uni so i didnt like, chiong for gpa. Now im not really regretting la hahahah so its okay. I was thinking of SIM already.
Mmm correct me if im wrong, pure math is more of algebra and proving while applied is statistics and graphs etc?

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[Matt Damon]

Engineering Maths

For those going take Engineering, maths will be a must.

Just a heads up

Aside from complex numbers, vectors, matrices which the prof will literally finish these 3 topics in 3 two hour lessons,

You will be exposed to a very literature perspective calculus. For example, differentiation is no more dy/dx. In local U, you must use "definition of derivative" to solve for algebraic equation. now want differentiate x^.5 also need to use new formula.
All these will open up topics like limit laws, mean value theorem and derivatives. All of which are heavy stuff which you have never knew existed in calculus. Just a simple algebraic equation now need to understand and apply so many steps.

And the best part is ONCE you think you understand the lecture, you open your tutorials and cry.
Then ONCE you somehow cleared your tutorials, you start doing past year papers, then that's when you really cry.

Speaking from a poly student taking engineering now, all these stuff, its no joke. And this is just the first semester's worth of eng maths.

I'm sure other courses have other math topics like Linear algebra, statistics, probability mathematical induction. Golden rule still applies - Its Hard

 

[AhPORK]

For those going take Engineering, maths will be a must.

Just a heads up

Aside from complex numbers, vectors, matrices which the prof will literally finish these 3 topics in 3 two hour lessons,

You will be exposed to a very literature perspective calculus. For example, differentiation is no more dy/dx. In local U, you must use "definition of derivative" to solve for algebraic equation. now want differentiate x^.5 also need to use new formula.
All these will open up topics like limit laws, mean value theorem and derivatives. All of which are heavy stuff which you have never knew existed in calculus. Just a simple algebraic equation now need to understand and apply so many steps.

And the best part is ONCE you think you understand the lecture, you open your tutorials and cry.
Then ONCE you somehow cleared your tutorials, you start doing past year papers, then that's when you really cry.

Speaking from a poly student taking engineering now, all these stuff, its no joke. And this is just the first semester's worth of eng maths.

I'm sure other courses have other math topics like Linear algebra, statistics, probability mathematical induction. Golden rule still applies - Its Hard

 

[arcanum00]

And the best part is ONCE you think you understand the lecture, you open your tutorials and cry.
Then ONCE you somehow cleared your tutorials, you start doing past year papers, then that's when you really cry.

Like this?

 

[AhPORK]

Like this?

#truestory

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[arcanum00]

Mmm correct me if im wrong, pure math is more of algebra and proving while applied is statistics and graphs etc?

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Some see pure maths vs applied maths as this:

 

[arcanum00]

Hahahaahaha thanks for that last pic ohmy. Hmmm, yeah at first i didnt wanna go to uni so i didnt like, chiong for gpa. Now im not really regretting la hahahah so its okay. I was thinking of SIM already.
Mmm correct me if im wrong, pure math is more of algebra and proving while applied is statistics and graphs etc?

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This may help:
"If you want to keep studying maths, you might have to choose between applied and pure mathematics. But what’s the difference?

The easiest way to think of it is that pure maths is maths done for its own sake, while applied maths is maths with a practical use. But in fact, it’s not that simple, because even the most abstract maths can have unexpected applications. For example, the branch of mathematics known as “number theory” was once considered one of the most “useless”, but now plays a vital part in computer encryption systems. If you’ve ever bought something online, you can thank number theorists for letting you do it safely.

You could also think about how maths relates to other subjects and to the real world. Applied maths tries to model, predict and explain things in the real world: for example, one area of applied mathematics is fluid mechanics, which analyses how fluids are affected by forces. Other examples of applied maths might be statistics or probability theory.
Pure maths, on the other hand, is separate from the physical world. It solves problems, finds facts and answers questions that don’t depend on the world around us, but on the rules of mathematics itself.

Unfortunately, there is no perfect way to decide what pure maths is and what applied maths is. Even mathematicians can’t agree on it! If you’re thinking of studying for a maths degree and there are separate courses or departments for pure and applied maths at the university you’re applying to, then get in touch and find out exactly what the courses involve."
(Taken from: http://www.brightknowledge.org/know...otlight-on-maths/applied-vs.-pure-mathematics)

 

[arcanum00]

Regarding the career part, its because i rlly have no idea what i wanna be.

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You might want to find out more on the career part, and the possibility of postgraduate studies.

I know some took a maths degree purely out of interest. There are quite a few, whom I know, took a maths degree as a second undergraduate degree purely out of interest.

Among the above people, some realised during their studies for a maths degree that they don't actually like mathematics (or rather, they don't like to do proofs). They prefer learning new computational-type of techniques to proving mathematical statements, and they are satisfied with knowing that there are proofs which exist to justify those techniques. It doesn't really hurt (except emotional-wise, perhaps) those who took a maths degree as a second undergraduate degree, and who also didn't do well in proof-based courses, since they already have an undergraduate degree and a stable career. It hurt most to those who took it as a first degree and eventually dropped out from it.

You might want to note that there are people who took a graduate diploma to switch to postgraduate studies in Mathematics, while some (usually those with insufficient mathematics in their undergraduate degrees in Economics) did the same for postgraduate studies in Economics.

Some extra information:

CUPM Curriculum Guide to Majors in the Mathematical Sciences
http://www.maa.org/programs/faculty...um-department-guidelines-recommendations/cupm

Subject benchmark statement:
Mathematics, statistics and operational research
http://www.qaa.ac.uk/en/Publication...atics-statistics-and-operational-research.pdf

Annex to subject benchmark statement:
Mathematics, statistics and operational research
http://www.qaa.ac.uk/en/Publication...atics-statistics-and-operational-research.pdf

Some fields/disciplines which utilise much Mathematics and/or Statistics besides Engineering, Physics and other natural sciences:
Computer Science
http://www.acm.org/education/CS2013-final-report.pdf

Operations Research (Operational Research in the UK)/Management Science
https://www.informs.org/Build-Your-Career/INFORMS-Student-Union/ORMS-Educational-Programs

Financial Engineering
http://iaqfguide.org/get-started-core-body.php

Actuarial Science
http://www.beanactuary.org/why/

Economics
https://www.aeaweb.org/gradstudents/Mathematical_Preparation.php

You might also want to note that there some links in Philosophy with Mathematics and Computer Science, especially through Pure Mathematics.

Hope the information above are useful to you.

Cheers!

 

[-Wanderer-]

You may want to find out more on the career part, and the possibility of postgraduate studies.

I know some took a maths degree purely out of interest. There are quite a few, whom I know, took a maths degree as a second undergraduate degree purely out of interest.

Among the above people, some realised during their studies for a maths degree that they don't actually like mathematics (or rather, they don't like to do proofs). They prefer learning new techniques to proving mathematical statements, and they are satisfied with knowing that there are proofs which exist to justify those techniques. It doesn't really hurt those who took a maths degree as a second undergraduate degree, since they already have a stable career.

You might want to know that there are people who took a graduate diploma to switch to postgraduate studies in Mathematics, while some (usually those with insufficient mathematics in their undergraduate degrees in Economics) did the same for postgraduate studies in Economics.

Some extra information:

CUPM Curriculum Guide to Majors in the Mathematical Sciences
Committee on the Undergraduate Program in Mathematics | Mathematical Association of America

Subject benchmark statement:
Mathematics, statistics and operational research
http://www.qaa.ac.uk/en/Publication...atics-statistics-and-operational-research.pdf

Annex to subject benchmark statement:
Mathematics, statistics and operational research
http://www.qaa.ac.uk/en/Publication...atics-statistics-and-operational-research.pdf

You seem to know or research a lot on math. Are you a math graduate?

 

[arcanum00]

You seem to know or research a lot on math. Are you a math graduate?

Read quite a fair bit on the curriculum in mathematics and its related fields/disciplines.

 

[livilivi]

Mmmm thanks for the replies! Appreciated it alot. Guess I needa make my own decision hahaha. I still have two years to think LUL. Anyways can someone guide me ah.
Diploma then Undergraduate then...? XD

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[a&w_rootbeerz]

Anyways can someone guide me ah.
Diploma then Undergraduate then...? XD

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Then graduate lor....

 

[livilivi]

Oh then whats post grad

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[arcanum00]

Oh then whats post grad

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Postgraduate or graduate refers to the studies after an undergraduate qualification.

A postgraduate diploma and a graduate diploma can mean different level of studies after undergraduate level qualifications. Usually, a postgraduate diploma means studying most or all of the courses at Master's level, while a graduate diploma means studying most or all of the courses at Bachelor's level in the UK. The latter may include only courses in intermediate year(s) and final year.

A Master's degree (with the exception of some countries' Master's degrees) is normally considered to be at postgraduate level in the UK. There are some 'conversion' Master's which may include an additional year of studies at undergraduate level before another year of studies at postgraduate level. There are also 'conversion' Master's degrees which consist of courses in undergraduate degrees but examined at postgraduate level.

In the US, 'postgraduate' is seldom or never used.

 

[livilivi]

WHY SO CONFUSING OHMY

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[arcanum00]

I was thinking of SIM already.

If you mean UniSIM, then go to the SIM library to read up the study guides for UniSIM maths degree courses. Courses which are named such as, "Algebraic Xxx", "Xxx Analysis", "Abstract Xxx", "Modern/Abstract Algebra", "Number Theory", "Axiomatic Xxx" or "Xxx Topology" are usually Pure Mathematics topics.

Mmm correct me if im wrong, pure math is more of algebra and proving while applied is statistics and graphs etc?

Modern/Abstract Algebra (Groups, Rings, Fields, Modules etc) is normally considered as Pure Mathematics, not so much for elementary algebra that we learned in Secondary/JC/Poly. I think the previous Further Mathematics in JC included some elementary Group Theory.

Statistics courses is usually applied in nature. However, some courses in Statistical Inference or Stochastic Processes, and econometrics courses with name like Econometric Theory are much like Pure Mathematics.

Graph Theory is more like Pure Mathematics, not so much of the graphs we see in coordinate geometry. Vectors can be a Pure Mathematics topics when topics like vector space is included.