Calc III vs. Advanced Calc vs. Intro Analysis

[CCLCMer]

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Can any of you math or engineering experts tell me what the difference is among these three classes? Calc III and advanced calc seem to be more or less the same according to the catalog course descriptions, but I've gotten the impression that advanced calculus is supposed to be introductory analysis, whatever that is. If anyone can help me sort them all out, I'd really appreciate it.

 

[EulerianCircuit]

Analysis will probably require you to do a lot of proofs. Calc III will most likely just be techniques.

 

[BigEast55]

If you don't like proof-based math you will find any class focused on analysis to be mostly a waste of time. Calc III was really useful for me, learning all sorts of 3D Calc stuff, multiple integration and differentiation. But analysis is why I'm only a math minor and not a math major.

 

[DirtyJustice]

If you don't like proof-based math you will find any class focused on analysis to be mostly a waste of time. Calc III was really useful for me, learning all sorts of 3D Calc stuff, multiple integration and differentiation. But analysis is why I'm only a math minor and not a math major.

Calc III would be most useful if you were looking for a practical use of something. You do learn the techniques, but I don't really think any of it has real use. Maybe except differential calc. I have yet to use an ounce of multiple integration, or for that matter even changing variables in integration.

So much for math being the "pure" science.

Analysis, as they all have said, is focused on proofs.

 

[Quantum Mecha]

Calculus III, called Vector Calculus in some schools, is like a 3-d version of Calculus I and Calculus II. In my opinion it was the easiest of the Calculus courses

Advanced Calculus is similar, but may go into Fourier Transforms and some other topics in more detail. Many schools do not give credit for both Advanced Calculus and Calculus III because they are so similar.

Analysis, as others have pointed, will likely have a lot of proofs, or may be a class on proofs entirely. My friend took an Analysis course and his homework assignments pretty much always involved proving theorems.

Take Calculus III. If you have already taken Physics I, it will be even easier (the first part of Calculus III is about vectors)

 

[stevesavi]

Hey, Im a math major and have taken these.
I suppose it could differ at some schools but at mine and all of my math major buddies at others' its like this:

Calc III- Multivariable calculus, alot like what went on in calc one but in three dimensions instead of 2, (alot of z is a function of x and y stuff)
Its cool eneugh but is still very much a computational class.

Transforms shouldnt be coming up in an adv calc course, probably differential equations.

Advanced Calc is typically a first course in real analysis, which is continuous math on the Real system. It is an axiomic course which builds from some introductory set theory and should not be computational in the slightest, all proofs. Along with combinatorics this was my favorite class. There is alot more depth to the real numbers than we think about regularly.

 

[RxnMan]

Can any of you math or engineering experts tell me what the difference is among these three classes? Calc III and advanced calc seem to be more or less the same according to the catalog course descriptions, but I've gotten the impression that advanced calculus is supposed to be introductory analysis, whatever that is. If anyone can help me sort them all out, I'd really appreciate it.

My Calc III was doing a lot of things like Fourier Transforms, Lagrange, and some beginning Diff Eq. Advanced Calc, which sounds like Calc II, was (for me) a lot of partial differentials and vector math (my school's Calc II and III subject matter was reversed from most college's).

Intro Analysis sounds like it'd be things like stats and sensitivity analysis.

 

[stevesavi]

My Calc III was doing a lot of things like Fourier Transforms, Lagrange, and some beginning Diff Eq. Advanced Calc, which sounds like Calc II, was (for me) a lot of partial differentials and vector math (my school's Calc II and III subject matter was reversed from most college's).

Intro Analysis sounds like it'd be things like stats and sensitivity analysis.

Advnced calc isnt like calc 2, its an upper level class, far beyond calcs 1-3.
and analysis is the theory of continuous mathmatics.

at most schools adv calc is an introduction to real analysis

 

[roaming]

if you are or will do any sort of biomedical engineering research, calc 3 can be very useful, along with advanced calculus if you are going into anything with electrical part of research (for example, any electrical signal research such as EEG). it is also very useful for computational biology research (for example, heart modeling and putting stresses to test different interventions on a computer). i would not take analysis. the OP seems to be a student at CCLCM, and as a research focused med school, i would say calc 3 or advanced calculs would be the way to go if you are planning to do any of the math/engineering heavy medical research.

 

[CCLCMer]

the OP seems to be a student at CCLCM, and as a research focused med school, i would say calc 3 or advanced calculs would be the way to go if you are planning to do any of the math/engineering heavy medical research.

Yes, I am a medical student at CCLCM. The reason why I'm asking about these classes is because I am interested in getting an MS in statistics. My math background from college is calc I, calc II, and linear algebra. The statistics program I was looking at requires those three classes, as well as calc III and advanced calculus. From their website, advanced calculus seems to be the same thing as introductory analysis, while calc III appears to be vector calculus like most of you said. The calc III requirement makes sense to me, but I don't really understand why I would need to take a proof-based class like introductory analysis in order to learn stats. I am going to contact the program this week to ask about it. Maybe they do mean differential equations. That would make more sense to me.

Thanks again for all of your help. I had no idea how confusing all of the names of these courses would be!

 

[RogueUnicorn]

calc 3 sounds just like multivariable

 

[Looking Glass]

Yes, I am a medical student at CCLCM. The reason why I'm asking about these classes is because I am interested in getting an MS in statistics. My math background from college is calc I, calc II, and linear algebra. The statistics program I was looking at requires those three classes, as well as calc III and advanced calculus. From their website, advanced calculus seems to be the same thing as introductory analysis, while calc III appears to be vector calculus like most of you said. The calc III requirement makes sense to me, but I don't really understand why I would need to take a proof-based class like introductory analysis in order to learn stats. I am going to contact the program this week to ask about it. Maybe they do mean differential equations. That would make more sense to me.

Thanks again for all of your help. I had no idea how confusing all of the names of these courses would be!

Wow. I didn't realize you were going to do an MS in statistics. Based on my (limited) experience with statistics you'll probably be fine coming in with a Calc II background and linear algebra. I mean, for the most part, as long as you know how to do integrations, you'll be OK. PM me if you need more help. I can guess where you're going to take these classes, but if you want I can look into the catalog to see if you meet the pre-requisite background.

 

[stevesavi]

for a masters in stats you will need to do proof based mathematics. And analysis is a good introduction to that, it starts with set theory, which will be an absolute necessity. however an intro to proofs or a foundations of higher mathematics is a good way to get a feel for writing proofs before going into a class that requires it.

 

[CCLCMer]

Wow. I didn't realize you were going to do an MS in statistics. Based on my (limited) experience with statistics you'll probably be fine coming in with a Calc II background and linear algebra. I mean, for the most part, as long as you know how to do integrations, you'll be OK. PM me if you need more help. I can guess where you're going to take these classes, but if you want I can look into the catalog to see if you meet the pre-requisite background.

Getting a stats MS is not something I was thinking about doing until very recently, so I'm not surprised you didn't know.

The stats program I was looking at requires calc III and advanced calc/intro analysis as pre-reqs, so I would have to take them both at some point before I could begin the MS. Obviously, this will be a long-term project, and I will not finish the degree before graduating from med school. That's fine--I'm just trying to understand what I need to do to get started.

for a masters in stats you will need to do proof based mathematics. And analysis is a good introduction to that, it starts with set theory, which will be an absolute necessity. however an intro to proofs or a foundations of higher mathematics is a good way to get a feel for writing proofs before going into a class that requires it.

Ok, that explains why they would want me to take intro analysis then. I don't really understand why statisticians would need to do proofs, but then again, there were a lot of things they made us do in med school that I didn't understand the purpose of until much later either.

Thanks again, stevesavi and everyone else. You've been very helpful.