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Preparing for university

Blogs > Ian Ian Ian
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Ian Ian Ian
Profile Blog Joined August 2009
915 Posts
August 17 2011 21:35 GMT
#1
I am going to university for mathematical physics after taking some time off from school, and I am a little worried that I wont do that well because I am rusty. I am taking first year calculus stuff. What kinds of units would you guys suggest I review before going? I have my calc textbook that I have briefly looked through and I don't really like the way it is written but if necessary I can use that.

***
RHCPgergo
Profile Blog Joined June 2005
Hungary345 Posts
August 17 2011 22:00 GMT
#2
I don't really know anything about mathematical physics, but here's some advice. You should check out the homepage of the university you will be attending to, there might be some useful info. You might find the subjects you will get into through the first semester, recommended books, maybe even some notes about the lectures. There can also be separate sites that contain study material.

Once the semester starts, try to seek the help of older students who know how things work and can give you specific info about subjects, professors, ways to learn, exams, all kinds of useful stuff.
Augury
Profile Blog Joined September 2008
United States758 Posts
August 17 2011 22:04 GMT
#3
I'm also going to be taking Calc II after being away from school for a while, so I'd also welcome suggestions on getting caught up. Thanks for any help. I assume the same topics will apply as for Calc I, but with some review of Calc I as well.
knyttym
Profile Blog Joined December 2006
United States5797 Posts
August 17 2011 22:13 GMT
#4
+ Show Spoiler +


I used this channel for my linear algebra course because my professor was horrible. Being alone in the comfort of my own room made the material much simpler. Not sure how the calc version though.
TheNessman
Profile Blog Joined May 2009
United States4158 Posts
August 17 2011 22:21 GMT
#5
TRIG.
know these: sin(0) sin(pi) cos(0) cos(pi)
and also know geometry, like area / perimeter of basic shapes.

hmm besides that you'll just need to know how to solve problems. which is hard.

be ready to put effort into it, especially if you want a good grade. and you can always turn to TL for help if you need it!
~~! youtube.com/xmungam1 !~~
thOr6136
Profile Blog Joined July 2009
Slovenia1775 Posts
Last Edited: 2011-08-17 22:29:39
August 17 2011 22:28 GMT
#6
i am going to university this year too, gonna study maths. I guess it will be damn hard but fuck it, i hope i can manage it and work hard enough, but thats hard for my lazy ass TT And i also hope there will be enough time for sc2 and aikido <_< Time management will be key.
duckett
Profile Blog Joined June 2009
United States589 Posts
August 17 2011 23:28 GMT
#7
ah I wish I was in your position, but it's a little late for me now.

math at the instructional level of most single variable calc courses/a good deal of the online stuff will be about learning specific tools to handle specific problems. but despite the physics in front of the name, mathematical physics will mostly involve learning math more broadly for the sake of learning math; it's the domain of mathematicians who have nowhere else to apply their skills.

you should start with a good real analysis book that you can stomach; Rudin is a classic but I prefer Kolmogorov. you need it to tell you a story and make you eagerly want to turn the next page to find out what will next be uncovered; just buffing up on the technical stuff will only get you so far.
funky squaredance funky squaredance funky squaredance
Malgrif
Profile Blog Joined March 2010
Canada1095 Posts
August 17 2011 23:36 GMT
#8
if it's first year, don't worry about it too much. in my calc class they went over EVERYTHING pretty slowly, so as long as you know what functions are and standard algebra techniques (simplification of polynomials, how to put fractions in proper form ie no roots in the denominator, and how to factor) you'll do fine even if you don't remember a thing from calc.
for there to be pro there has to be noob.
TimmyMac
Profile Joined December 2008
Canada499 Posts
August 17 2011 23:44 GMT
#9
First year is pretty easy going. If you can't follow you probably aren't cut out for upper year courses in my experience.
Sufficiency
Profile Blog Joined October 2010
Canada23833 Posts
August 17 2011 23:45 GMT
#10
Mathematical physics? Are you sure? The only thing out of this field is a PhD on it, and it's a very difficult field.
https://twitter.com/SufficientStats
n.DieJokes
Profile Blog Joined November 2008
United States3443 Posts
August 18 2011 00:34 GMT
#11
On August 18 2011 08:45 Sufficiency wrote:
Mathematical physics? Are you sure? The only thing out of this field is a PhD on it, and it's a very difficult field.

It's his first year, he'll figure it out
MyLove + Your Love= Supa Love
Ian Ian Ian
Profile Blog Joined August 2009
915 Posts
August 18 2011 04:57 GMT
#12
I know what courses I'm taking, I just haven't done a math problem in over a year.. so I'm a little rusty. I forget alot of what I learned in my high school calculus class :/

Any suggestions of where I can find like.. practice questions or something? My textbook seriously sucks so much dick, its useless.

And I might switch into pure physics later on, we will see. There are a lot of promising co op jobs in my area, I am going to Waterloo, and the IQC and PI are right beside it.
Sufficiency
Profile Blog Joined October 2010
Canada23833 Posts
Last Edited: 2011-08-18 06:07:39
August 18 2011 05:54 GMT
#13
Maybe I misunderstood you, but when you say "mathematical physics", to my mind as someone who has a master degree in mathematics, this is a MATHMATICS field, not a physics field. Surely, the things you study may have motivation from physics, but it unfortunately has little actual physics in it. Also this is a graduate-level field; you can ask a math PhD student what he does, and he may say "mathematical physics". This typically embodies things such as Lie algebra, differential topology, differential geometry, PDE, etc.. It's not an undergraduate-level field as far as I know. Anyways, if a PhD is your plan, you should read on:

Sorry to burst your bubble, but physics is a *HORRIBLE* field for a PhD.... Physics used to be a popular field in the earlier part of 20s century, but now it's old and too hard.

If you want to go to graduate school and eventually get a PhD in a field, I strongly recommend you to switch to mathematics instead for undergrad. At least it's a bit more general and wider in scope. According to one of my friends who graduated from PKU physics, most of his colleagues have ditched the field - even though PKU has arguably the strongest students in the world thanks the China's rigourous exams.


In my humble opinion, an undergraduate degree in physics (and NOT in engineering) can give you the following three options:

1. Get a PhD in physics; become a professor (but like I said, research in physics is EXTREMELY hard)
2. Become a high school teacher and teach high school level physics (but for that, you don't actually NEED a degree in physics)
3. Do a mathematically related field after you graduate, such as actuary, etc. (but in that case, you might as well get a degree in statistics)

If you are job-oriented and want your undergraduate degree to be your terminal degree, you should consider going into mathematics (for something theoretical) or actuarial science (for something practical). University of Waterloo has an awecome co-op program, but it's not omnipotent; if you start out in a poor field you will find yourself in a trouble.


EDIT: since you are going into mathematics or a related field, you are likely to be taking a theoretical calculus course in your first year at Waterloo. You should find out which textbook you will be using (most likely it's Spivak's Calculus, similar to what is used at University of Toronto for MAT157, or Stewart's Calculus Early Trancedentals for MAT137). Either way, I think the best thing you can do is just go straight into the course material and preview it. This will give you a serious edge when school starts in September.
https://twitter.com/SufficientStats
Ian Ian Ian
Profile Blog Joined August 2009
915 Posts
August 18 2011 13:38 GMT
#14
Thanks for the advice.

At Waterloo there are actually 2 MathPhys programs, a science one and a math one. Each one focuses more on their own courses. I am currently in the math one.

And yes, I will be taking Math137, and that's what I'm worried about. Not really thinking about long term at all, just going into this class. I am kicking myself now for not taking very consistent notes in my highschool calculus class, and am just looking for somewhere where I can find some practice questions or something like that. My textbook has far too much explanation and not enough practice imo, and I'd rather use something else.
Stratos_speAr
Profile Joined May 2009
United States6959 Posts
August 18 2011 14:26 GMT
#15
On August 18 2011 06:35 Ian Ian Ian wrote:
I am going to university for mathematical physics after taking some time off from school, and I am a little worried that I wont do that well because I am rusty. I am taking first year calculus stuff. What kinds of units would you guys suggest I review before going? I have my calc textbook that I have briefly looked through and I don't really like the way it is written but if necessary I can use that.


I hardly think you should have much to worry about. Almost every college out there eases you into the work when you first start since you won't be used to the work load. Not only that, calculus is pretty easy compared to the math that you'll eventually be doing, so you won't be starting off with things that are overly difficult.
A sound mind in a sound body, is a short, but full description of a happy state in this World: he that has these two, has little more to wish for; and he that wants either of them, will be little the better for anything else.
lac29
Profile Blog Joined December 2008
United States1485 Posts
August 18 2011 14:28 GMT
#16
That youtube vid may prove really helpful for me ... thanks!
Cruncharoo
Profile Blog Joined March 2011
United States136 Posts
August 18 2011 14:38 GMT
#17
For calc II you need to really know your trig identities well. Try to memorize as many of those as you can, fill out the first page of your math notebook with all identities so when you are doing your homework you can reference that.
TheGiz
Profile Blog Joined October 2010
Canada708 Posts
Last Edited: 2011-08-18 14:52:49
August 18 2011 14:43 GMT
#18
Having taken 6 math courses as a part of my engineering degree (and every other course involving just as much calculus anyway), I can say that what you should do is just review all of high school math. (I, at the very least, kept all my notes from high school - lessons included.) Anyone with half a brain can cover 4 grades of stuff and thus learn all the required calculus for first year in about a week.

Also be prepared to work. Math courses (i.e. all of math, engineering, and physics) require you not to study notes but to do innumerable problems as practice. That is the only way to study. First year calculus doesn't stretch far from the grade 12 stuff, but it is still quite difficult if you don't do the work.

On August 18 2011 14:54 Sufficiency wrote:
In my humble opinion, an undergraduate degree in physics (and NOT in engineering) can give you the following three options:
  1. Get a PhD in physics; become a professor (but like I said, research in physics is EXTREMELY hard)
  2. Become a high school teacher and teach high school level physics (but for that, you don't actually NEED a degree in physics)
  3. Do a mathematically related field after you graduate, such as actuary, etc. (but in that case, you might as well get a degree in statistics)
If you are job-oriented and want your undergraduate degree to be your terminal degree, you should consider going into mathematics (for something theoretical) or actuarial science (for something practical). University of Waterloo has an awesome co-op program, but it's not omnipotent; if you start out in a poor field you will find yourself in a trouble.

Augmenting this...
  1. Surely you must know that outside of teaching and god-awful research a PhD in physics is almost useless. Don't expect a lot of pay with this degree.
  2. Also don't expect to get a teaching job in Canada in the next 20 years. EVERYBODY goes into teaching. Hell, Brock University alone will ensure that the field is saturated until the end of civilization.
  3. Consider specializing or falling back on something financial. Actuary is a good one. Finance will never die and is an extremely complicated field with a lot of potential payout for the right kinds of people.
Life is not about making due with what you have; it's about finding out just how much you can achieve. Never settle for anything less than the best. - - - Read my blog!
Zorkmid
Profile Joined November 2008
4410 Posts
August 18 2011 14:50 GMT
#19
On August 18 2011 06:35 Ian Ian Ian wrote:
I am going to university for mathematical physics after taking some time off from school, and I am a little worried that I wont do that well because I am rusty. I am taking first year calculus stuff. What kinds of units would you guys suggest I review before going? I have my calc textbook that I have briefly looked through and I don't really like the way it is written but if necessary I can use that.


If you're just starting, you don't really need to prepare THAT much.

Everything you're going to learn will be new.

My first year Calc course covered everything I already knew in the first class or two.

Just go ready to learn!

Don't fall behind!
SarR
Profile Joined June 2011
476 Posts
August 18 2011 14:53 GMT
#20
Check out this guy's youtube channel. He really knows how to make you understand math. He also has some vids on certain aspects of physics.
ComaDose
Profile Blog Joined December 2009
Canada10357 Posts
Last Edited: 2011-08-18 14:58:53
August 18 2011 14:55 GMT
#21
Be comfortable differentiating and integrating.
Factoring/completing the square.
Someone who says everything you learn will be new is forgetting that you need to know how to do these things to do what they are teaching you. They will assume you can do these things in your sleep.

EDIT: This is the bossest boss of a math teacher boss that ever walked the earth.
This book covers every topic in any first year math course generally and specifically with examples worked out in layman's terms.
http://mathematicssurvivalkit.ca/
If you buy it you will open it every time you forget how to do anything becuase its all there.
BW pros training sc2 is like kiss making a dub step album.
OpticalShot
Profile Blog Joined October 2009
Canada6330 Posts
August 18 2011 18:49 GMT
#22
Practice is important... but I'm going to say just relax and enjoy the rest of your summer. It's first year calculus, for god sakes, unless you did terrible in high school you shouldn't worry at all. Also have an open mind - this is obvious - and follow your professor's style, completely. If it conflicts with your own beliefs, throw out your own beliefs. High school teacher said otherwise? Well it's a fking PROFESSOR telling you what you need to know for you to obtain that credit so obey your professor.

Waterloo... Canada, right? Yes, Waterloo is well-known for having great co-op programs providing students with co-op experience. However - not all co-op necessarily is in your field of study (most common case is being hired by software developers to do tedious coding) and you will soon find out, as others said, you'll need to really plan a long road ahead. That being said, if PhD in physics is something you really want, I recommend switching out of Waterloo (co-op / practical-oriented school) and going somewhere more research-oriented. Why waste time doing useless co-op as a codemonkey or an html slave when you can focus on courses only and speed your way towards higher degrees?
[TLMS] REBOOT
Chromyne
Profile Joined January 2008
Canada561 Posts
August 18 2011 19:03 GMT
#23
On August 18 2011 23:43 TheGiz wrote:
  1. Also don't expect to get a teaching job in Canada in the next 20 years. EVERYBODY goes into teaching. Hell, Brock University alone will ensure that the field is saturated until the end of civilization.



This made me laugh.

I've never taken MATH137, but the subject matter looks similar those covered in MATH117, so I wouldn't worry about it too much. If you have taken high school calculus a lot of it will be things you already know, and so it will just be refreshing your memory.
Soli Deo gloria.
emperorchampion
Profile Blog Joined December 2008
Canada9496 Posts
August 18 2011 21:13 GMT
#24
If you are looking for a good Calc textbook for Cal I and II, I can vouch for Stewarts Early Transcendentals. Get the solution manual as well, and then just do every odd question for every chapter, then 1a2a3a your way through the course
TRUEESPORTS || your days as a respected member of team liquid are over
itachisan
Profile Blog Joined June 2011
Canada109 Posts
August 18 2011 23:39 GMT
#25
On August 18 2011 22:38 Ian Ian Ian wrote:
Thanks for the advice.

At Waterloo there are actually 2 MathPhys programs, a science one and a math one. Each one focuses more on their own courses. I am currently in the math one.

And yes, I will be taking Math137, and that's what I'm worried about. Not really thinking about long term at all, just going into this class. I am kicking myself now for not taking very consistent notes in my highschool calculus class, and am just looking for somewhere where I can find some practice questions or something like that. My textbook has far too much explanation and not enough practice imo, and I'd rather use something else.


You are going to take Math137 at Waterloo? Are you planning to take Math138, Math237, and then Amath calc 4?

I was just wondering because I also go to Waterloo and I think I have the notes for all the courses mentioned above somewhere. If you need them as an aid I'll gladly go and dig them up for you.

P.S dont worry about calculus in general. IMO as long as you know your integration methods, it should pretty much set you well on the cruise.
AoN.DimSum
Profile Blog Joined September 2008
United States2983 Posts
August 19 2011 01:23 GMT
#26
On August 19 2011 06:13 emperorchampion wrote:
If you are looking for a good Calc textbook for Cal I and II, I can vouch for Stewarts Early Transcendentals. Get the solution manual as well, and then just do every odd question for every chapter, then 1a2a3a your way through the course

I like this book too!
by my idol krokkis : "U better hope Finland wont have WCG next year and that I wont gain shitloads of skill, cause then I will wash ur mouth with soap, little man."
Sufficiency
Profile Blog Joined October 2010
Canada23833 Posts
August 19 2011 01:59 GMT
#27
On August 18 2011 22:38 Ian Ian Ian wrote:
Thanks for the advice.

At Waterloo there are actually 2 MathPhys programs, a science one and a math one. Each one focuses more on their own courses. I am currently in the math one.

And yes, I will be taking Math137, and that's what I'm worried about. Not really thinking about long term at all, just going into this class. I am kicking myself now for not taking very consistent notes in my highschool calculus class, and am just looking for somewhere where I can find some practice questions or something like that. My textbook has far too much explanation and not enough practice imo, and I'd rather use something else.


Which book do you use for 137? Most first year books have solutions to at least the odd numbered problems.
https://twitter.com/SufficientStats
Ian Ian Ian
Profile Blog Joined August 2009
915 Posts
August 19 2011 03:27 GMT
#28
On August 19 2011 08:39 itachisan wrote:
Show nested quote +
On August 18 2011 22:38 Ian Ian Ian wrote:
Thanks for the advice.

At Waterloo there are actually 2 MathPhys programs, a science one and a math one. Each one focuses more on their own courses. I am currently in the math one.

And yes, I will be taking Math137, and that's what I'm worried about. Not really thinking about long term at all, just going into this class. I am kicking myself now for not taking very consistent notes in my highschool calculus class, and am just looking for somewhere where I can find some practice questions or something like that. My textbook has far too much explanation and not enough practice imo, and I'd rather use something else.


You are going to take Math137 at Waterloo? Are you planning to take Math138, Math237, and then Amath calc 4?

I was just wondering because I also go to Waterloo and I think I have the notes for all the courses mentioned above somewhere. If you need them as an aid I'll gladly go and dig them up for you.

P.S dont worry about calculus in general. IMO as long as you know your integration methods, it should pretty much set you well on the cruise.


Idk about Math237 and Amath calc 4, but yeah 137 and 138. I am supposed to be taking 127 and 128 but I took the "advanced" math courses for whatever reason.

I'd gladly take you out for a beer in exchange for some notes.
BloodNinja
Profile Joined June 2010
United States2791 Posts
August 19 2011 05:09 GMT
#29
On August 18 2011 07:13 kNyTTyM wrote:
+ Show Spoiler +
http://www.youtube.com/watch?v=jbIQW0gkgxo


I used this channel for my linear algebra course because my professor was horrible. Being alone in the comfort of my own room made the material much simpler. Not sure how the calc version though.


Holy hell. I think I learned more in 15 minutes of that video than I did in a year of calculus in college. It always amazes me to what teachers can really bring into the subject when they put their heart into it.
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