Anybody here taken math higher than Calculus 3?

Hoeboy

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Which course and how was it compared to Calc 3? Calc 3 was fairly easy until the end with the triple integration and crap. Totally threw me off course because I forgot how to integrate a lot of stuff as well as setting up the problems in 3 dimension was a real b!tch. I'm taking Intro to Linear Algebra this summer and even more math courses to come (math major). Was wondering if I can get some opinions on some of the courses you've taken since I have an option of taking ANY 3 upper division math course to satisfy my requirements.
 

b0mbrman

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Took Linear Algebra and Analytic Geometry a while back...different from calculus but definitely harder :)
 

Hoeboy

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Hmmmmmm. Really??? Does it involve a lot of previous knowledge from Calc or is it just a fresh step? Calculus wasn't too tough IF you keep along with the materials since EVERYTHING builds on top of each other. Don't scare me. I can't change major again :eek:
 

BigJohnKC

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Aug 15, 2001
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Discrete Math, Linear Algebra, Numerical Analysis, Real Analysis, Differential Equations, 3D Computer Graphics (variant on Linear Algebra).

Diff EQ wasn't bad, Reals sucked ass, Numerical was cool (writing programs to simulate math functions), Discrete was cool (counting principles), Linear wasn't bad (but our prof sucked)
 

Hoeboy

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I think Calc 4 is pretty much Calc 3. They probably just split it into 4 sections instead of the usual 3.

Big John, on a scale of 1 (easy ) to 10 (hard), how was Calculus (1, 2, 3) for you? And the other courses? I'm gonna have to take most of the ones you mentioned except for the computer ones. I'd like to know what I'm heading into :)
 

pillage2001

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Sep 18, 2000
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<< I think Calc 4 is pretty much Calc 3. They probably just split it into 4 sections instead of the usual 3.

Big John, on a scale of 1 (easy ) to 10 (hard), how was Calculus (1, 2, 3) for you? And the other courses? I'm gonna have to take most of the ones you mentioned except for the computer ones. I'd like to know what I'm heading into :)
>>



If you have a lecturer that dumps only numbers at you and do not speak English. You're in for a big one. :)
 

rgwalt

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Apr 22, 2000
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I took a course in linear algebra at the same time as calc 3 (they were combinded into one course). Linear algebra really isn't tough. I also had a course in ordinary differential equations that was good, though I didn't remember much of it. Last semester, as a first year grad student, I took a course that covered vector analysis, linear algebra, multivariable calculus, ordinary differential equations, and partial differential equations. It was more of a review/overview course. This semester I've used almost everything I learned in that class in my current grad classes. Next semester I'll be taking a course on non-linear dynamics.

As far as what you should think about taking... You need at least one course in ODEs and at least one in PDEs. A numerical methods course would be good too. A friend of mine got a math minor and took a lot of stoicastics courses, which apparently are quite useful.

Good luck, and enjoy the math.

Ryan
 

b0mbrman

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Jun 1, 2001
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<< Hmmmmmm. Really??? Does it involve a lot of previous knowledge from Calc or is it just a fresh step? Calculus wasn't too tough IF you keep along with the materials since EVERYTHING builds on top of each other. Don't scare me. I can't change major again :eek: >>


Mostly a fresh step...Not hard at all if you're a math guy and only semi-challenging for us econ types ;)
 

Chau

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May 23, 2001
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took differential equations and vector calculus 1st and 2nd quarter, taking linear algebra right now...i'd say vector calculus has been the hardest so far..
 

edc03

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hoeboy
i'm a math major at ucla. i'm about to graduate, so i've taken all the courses needed for my applied math dipolma. so far i've taken:
(i'm going to put how hard each one was for me in () ): (1 = easiest, 5 = average, 10 = hard)
calc 1 (1)
calc 2 (1)
calc 3 (3)
real analysis (10) --> this is the hardest i've taken
complex analysis (7)
numerical analysis (5)
applied numerical analysis (7)
linear algebra (7)
ode (7)
pde (9)
mathematical modeling (6)
combinatorics (5)
and maybe some others that i can't remember.


hope this helps... pm if you need other information.
 

Hoeboy

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damn edc. i thought calc 2 was the hardest of the 3 yrs of calc. if you think it's easy then man am i in for some fun in the higher courses. btw, i'm getting a general math/science degree so it should be a bit easier. i know for sure i have to take ODE and PDE, LINEAR ALGEBRA, and some other general junk.
 

Hoeboy

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<<took differential equations and vector calculus 1st and 2nd quarter, taking linear algebra right now...i'd say vector calculus has been the hardest so far.. >>

i believe towards the end of calc 3 is vector calculus?
 

SCSIfreek

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Mar 3, 2000
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Calculus 4 :) its much easier than Calculus 2 and 3. But once you step into Linear Algebra its a totally different ball game ;). Have fun.


--Scsi
 

BuckleDownBen

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Jun 11, 2001
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I was an (abstract) math major at UC Berkeley. If you want a change of pace from calculus, you can take Euclidean geometry (easy) or Number Theory (harder) as your elective. They are good because they are self-contained. That is, they don't build on any other course. Of the 12 courses I needed for my major, I think 9 or 10 of them were required to be one form of calculus or another.

 

CrazyHelloDeli

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Jun 24, 2001
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Id go back and get a BS in CS if it wasnt for the math courses. Ive forgotten all my algebra 1 and up and I dont feel like learning it all again;)
 

cressida

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Sep 10, 2000
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almost done with my math minor ...
but justt taken

Cal I
Cal II
Cal III
Higher Math for Engineers (Differentials, but for engineers)
Linear Algebra
Stats of Engineers (next semester, last credit for my minor)
 

Evadman

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Feb 18, 2001
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Physics Major here! You have many more years of math! :) Atleast I am done.
 

Hoeboy

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i was doing civil engineering but got tired of physics. also it was taking TOOOOOOO long. math is faster (although not always easier) and i'm pretty much tired of school. i want to finish fast. i opted for the general math degree since it's the most flexible and easiest ;)
 

bizmark

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Feb 4, 2002
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I'm a math major. I took a three-quarter sequence of Honors Calculus, which was probably unlike the calculus classes at almost every other school in the nation. We never did volumes of rotation, double integrals, anything like that. Lots of delta-epsilon proofs and axioms and definitions. I think I computed like 6 integrals in the entire course.

The delta-epsilon definition of a limit: The limit of f(x) as x-->x_0 equals F <==> For all epsilon>0, there exists delta>0 such that if (x-x_0)<delta then (f(x)-F)<epsilon. I still remember that, even though it was three years ago that I learned it, and I haven't used it since. :) Most textbooks and college courses state this definition at the beginning of the course and quickly forget about it, AFAIK. That's definitely what happened in my AP Calculus course in HS.

Last year I took a three-quarter sequence in Real Analysis. That was pretty hard for me. It's difficult for me to think in terms of the infinite.

This year I'm in a three-quarter sequence of Abstract Algebra. The Group Theory stuff was all very cool and easy for me. Once we started moving towards Linear Algebra, though, it got pretty hard. But again, I think that algebra here is different from anywhere else. As with all math here, it's a lot more theory-based and a lot less algorithm-based than at other places. At most schools, math is seen as a means to an end: engineering, physics, whatever. And that's how it's tought. Here, math is an end unto itself. In my year-long analysis course, we didn't learn a thing about solving equations with Legrange Multipliers. I learned that in Econ. In my Algebra course, we're now moving into Galois Theory, and it's pretty mind-blowing.

Definitely take a course on Group Theory, Rings, Fields, etc.... it'll expand your conception of the world. It'll teach you to think outside of our realm of 'numbers' and force you to re-think what numbers even are (arbitrary products of our imagination that work only in accordance with set rules, and it's the rules that really matter, not the numbers).
 

Hoeboy

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Apr 20, 2000
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aw man. giving me a headache. well i'll think about it later. heading to my last calc 3 test before finals. all double integrals, triple integrals, vector calc, etc. i don't think i'm gonna do too well. there's just TOO much sh!t in here to remember for one test :( wish me luck.