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/sci/ - Science & Math

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6949817 No.6949817 [Reply] [Original]

I took AP Calculus AB (basically Calculus I) in high school so I started my first semester of college with Calculus II. Entering with the mentality of "Calculus II can't be much harder than Calculus I", I didn't pay much attention in class. I just got my final exam back and ended up with a 84% overall grade in the class. I was really stressed out the past few weeks because I was afraid I would have to repeat the class. I'm taking Calculus III next semester and I don't want to be in the same situation where I'm extremely stressed right before exams. I have three weeks of Winter break and want to spent a few days or a week "previewing" Calculus III material. Where do I start? Also, what are some Calculus III/general math tips for doing well?

>> No.6949822

>look at the syllabus for material covered/textbook used for calc III at your school
>start doing it

>> No.6949824

>>6949822
I don't know what book is used until the class starts.

>> No.6949834

at least for me, calc 2 was harder than 3. Calc 2 was the hardest of the calcs it seemed.

>> No.6949836

>>6949817
its calc 1, except you are doing it three times. the hardest part is figuring out your limits of integration for the different kinds of volumes, and switching between coordinate systems. everything else is really easy shit you should have done in calc 1 and physics.

>> No.6949848

>>6949824
for me i used the same book in 10th grade calc, 11th grade calc 2 and freshman year calc 3. started doing vectors and shit.

>> No.6949854

>>6949817
stewart

>> No.6949884

>>6949817
Paul's online notes and MIT OCW (with Denis Auroux)

>> No.6949895

Your classes are not proof heavy are they? Just derive this shit and integrate this shit and find the area under some shit, right?

Then, stewart will get you through all those classes with high scores. The book is fun cause its easy (as it is really well done), not really math tho.

>> No.6949919

>>6949817
I just finished Calc III (with an A without the curve), and my class used Larson, not Stewart.

Any opinions on Larson?

>> No.6949927

>>6949836
Basically what this anon's saying. If you did well in Calc I, you'll do well in Calc III

>> No.6949993

>>6949919
I used Stewart for Calc II and Larson for Calc III. I think the general consensus is that Larson is more babby-tier, but in the end they're both basically calculus for engineers type books (plug-n-chug). I got A's in both classes but I feel like I learned more with Stewart. It probably just comes down to personal preference.

>> No.6950023
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6950023

>tfw I need an 88% on my final exam to get a B in Calc 2 this semester

>mfw its mostly series

>> No.6950037

>>6949927
I did not do well in Calc I. I got a 4 on the AP test but did horrible in the class.

>> No.6950064

>>6950037
Calc I is mostly symbol pushing, very little intuition and all that jazz.

>>6950023
>tfw jackassed around in Calc II but didn't learn anything
>tfw I now wish I had paid attention to series

>> No.6950149

>>6949824
How could you not know what book is being used?
Go to the bookstore--they must already have the books ordered for the class.

>> No.6950189
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6950189

>>6950023
>tfw need x>=90 to get a B in Calc 2
>mfw the 4 most emphasized things on the exam are the 4 things I'm worst at
>mfw exam is in 4 days and I've barely studied

>> No.6950456

>everyone talks about calculus I, or geometry I, or trigonometry I or whatever
>in Australia it's just retard maths, smart person maths, very smart person maths, financial maths
I don't even know what I've covered.

>> No.6950501

>>6949834
yea brah, dem sequences and series and shits

>> No.6950522

Tell me, Americans, what have you done by the end of your first year of University in Calculus?
>le calc I II and III face
They mean fuck all and you know it.

>> No.6950609

>>6950456
Calc 1 = differentiation and simple integration
Calc 2 = more advanced integration and sums/series as well as some some important theorems/transforms
Calc 3 = multivariable calc

That's generally how it goes in the US.

>> No.6950675

>>6950609
>some important theorems/transforms

Watchu talkin' bout, son?

>> No.6950689

>>6949817
I used "Vector Calculus" by Marsden and Tromba in my multivariable class. You could just find a copy of it and start reading

>> No.6950901

>>6949824
The material is the same regardless of the book. Doesn't matter matter as long as you learn it.

So just start learning the material.

>> No.6950944

>>6950689
Good book, I used it in 1st year undergraduate Physics and I loved it.

>> No.6950948

>>6950609
At my university, calc 3 is linear algebra/differential equations and multivariable is calc 4

>> No.6950949

>professor posted calc 2 exam scores
>literally 100%
>96% final grade (didnt do a solid amount of the homework)
I get the feeling this could be harder than it is, but my professor basically takes the test questions straight off the test review sheets he gives us.
I actually came off like a huge asshole/ autist the other day
>in comp sci class
>guy is upset, he says hes struggling with calc
>wants to quit computer science
>teacher asks if anybody else is in calculus, and how they're doing in it
>nobody raises their hand, I wasn't really paying attention so I did
>CALC IS PRETTY EASY, I GOT AN A IN BOTH
>kid looks super upset, about to cry
>female professor staring through my soul
oh well everybody thinks im an asshole

>> No.6950953
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6950953

>>6949817
get this book and ignore the mongoloids in this thread

>> No.6951244

>>6950456
Lel in the netherlands they have Math A, B, C and D (not sure about D).

Only autists take anything beyond Math B

>> No.6951272

Anyone use Briggs/Cochran?

>> No.6952852

>>6950949
>kid looks super upset, about to cry
>female professor staring through my soul
I thought college was for adults????

>> No.6952873

>>6950948
The hell?
I think the usual is Calc III is multivariable and Linear Algebra and ODEs are separate courses of their own, typically taken after Calc III

>> No.6952886

>>6952852
>adults=autists who never express emotions

>> No.6952888

>>6950023
>series and sequences
This is the part that single-handedly made Calc 2 the worst Calc class for me. Hated that shit.

>> No.6952897

Calc 3 is Calc 2 with longer problems but no Taylor. Not a big deal.

>> No.6952910

>>6952873

Mine was more similar to this, separate classes for Multivariable (Calc III), Linear Algebra, and Differential Equations (Calc IV).

>> No.6952912

>take a math class
>do problems and memorize proofs
>get an A+
wow that was hard
next

>> No.6952920

>>6952912
Congrats on finishing Calc I (or lower)

>> No.6952925

>>6952920
>topology
>group theory
>numerical analysis
im not even a math major

>> No.6952927

>>6952925
Then you're probably taking the engineering sections, amirite?

>> No.6952933

>>6952927
no, I needed permission from math dept to take them

>> No.6952945

>>6950609
Here it's
Calc 1 - Differentiation and integration
Calc 2 - Multivariable
Calc 3 - Differential equations
Calc 4 - Vector calculus
Calc 5 - Mathematica, Matlab, and Maple.

>> No.6952972

>>6949817
Stewarts pretty good, but lacks some deeper explanation. Honestly teach yourself all of the basic stuff:

>basic vector arithmetic
>3-dimensional geometry
>orthogonality
>relation between dot product and cosine
>planes
>projections

Then learn the basic multi-dim calc stuff
>partial derivatives
>tangent planes
>gradients
>min/max
>lagrange multipliers

Then try your hand at basic integration
>double integrals
>volume/area
>arc length and "ds"
>triple integrals
>surface area and "dS"

Then move on to the vector calc stuff
>line parameterization
>line integrals
>green's theorem
>surface paramterization
>surface integrals
>stokes/divergence theorem

I may be leaving something important out, but you can watch MIT OCW with Denis Auroux and take your own notes. The most important thing is that you have your own notes to look back at in case you forget something.

>> No.6952973

>>6952945
What's the difference between Multivariable and Vector Calc?

>> No.6952977

>>6952973
Vector calc adds in lots of vectors and matrices to multivariable calc. It's quite fun.

>> No.6952979

>>6952972
Oh Im forgetting vector fields in the last batch of things. Definitely learn vector fields and what the fuck is happening with them. Characterize different functions by what their domain is vs what their range is. i.e. a vector field in R^3 is a function from R^3 to R^3.

>> No.6952983

>>6952977
What's the point of the matrices?