Courses Can someone tell me the difference (if any) between these two course?

[flyingpig]

Not in university city anymore so can't go to the academic center to ask. Ask professor who is teaching already and he "isn't sure"

The course is called "Analysis" compared with "Real Variables"

Provides a rigorous foundation of calculus. Real numbers; limits and continuous functions; differentiation; elementary functions; the elementary real integral; normed vector spaces. Limits in normed vector spaces; compactness, series; the integral in one variable and approximation with convolutions.

The real number system; real Euclidean n-space; open, closed, compact, and connected sets; Bolzano-Weierstrass theorem; sequences and series. Continuity and uniform continuity. Differentiability and mean-value theorems. The Riemann or Riemann-Stieltjes integrals. Sequences and series of functions, uniform convergence. Approximation of continuous functions by polynomials. Fourier series. Functions from R^m to Rⁿ, inverse and implicit function theorems.

Since half of those fancy words are foreign to me, i can make no sense of it at all.

The pre-reqs to both course are the same, a proof course

Sets and functions; induction; cardinality; properties of the real numbers; sequences, series, and limits. Logic, structure, style, and clarity of proofs emphasized throughout.

Prof said I could take it concurrently, but I have my doubts...

If anyone could help, I am happy.

Thanks

 

[micromass]

You can safely take these courses concurrently. The two courses look very alike, so I'm not sure if it's necessary to take them both. If I were you, I would take the "real variables" course, which seems to contain everything of the "Analysis" course. So taking one of these courses seems ok by me...

 

[flyingpig]

You can safely take these courses concurrently. The two courses look very alike, so I'm not sure if it's necessary to take them both. If I were you, I would take the "real variables" course, which seems to contain everything of the "Analysis" course. So taking one of these courses seems ok by me...

They are both a full year course. What is the official name of this course?

 

[micromass]

They are both a full year course. What is the official name of this course?

I'm not sure what you mean with "official name". When I was studying, all of this was part of an "Analysis" course. I guess, in America, that the courses you listed would come after calculus and before real analysis and topology.

 

[Vanadium 50]

Let's see if I get your question - the professor who is teaching one course says you can take it concurrently with another. You don't believe him, so are asking a bunch of strangers on the internet what they think. Do I have this right?

 

[flyingpig]

Real Variable = Real Analysis...?

there is an "Applied Complex Variables" course which is like one semester (I say 3-4 months) course...

 

[flyingpig]

Let's see if I get your question - the professor who is teaching one course says you can take it concurrently with another. You don't believe him, so are asking a bunch of strangers on the internet what they think. Do I have this right?

I know that sounds silly, I asked him about it and he gave me an extremely short reply, "yes", so that's why i suspect he "isn't sure"

 

[micromass]

Real Variable = Real Analysis...?

No, I don't think that the Real Variable course is a Real Analysis course. In Real Analysis, you would also have to cover Lebesgue integration and stuff, which does not occur in your Real Variables course list.

there is an "Applied Complex Variables" course which is like one semester (I say 3-4 months) course...

This is likely Complex Analysis. You will (probably) need Analysis/Real Variables as a prereq. If not, then the complex variables course is pretty dumbed down and not worth taking

 

[micromass]

I know that sounds silly, I asked him about it and he gave me an extremely short reply, "yes", so that's why i suspect he "isn't sure"

Wait, so he answered you "Yes", and you interpret it as "I'm not sure"?? Strange...

 

[flyingpig]

No, I don't think that the Real Variable course is a Real Analysis course. In Real Analysis, you would also have to cover Lebesgue integration and stuff, which does not occur in your Real Variables course list.

Both are excerpts. I'll ask the prof if he could send me a syllabus.

This is likely Complex Analysis. You will (probably) need Analysis/Real Variables as a prereq. If not, then the complex variables course is pretty dumbed down and not worth taking

That "Complex variable" course needs Calc III (MVC), it's only offered once every other year.

I don't know why, but pretty much all the courses in my college do not have proper naming codes.

For Linear Algebra, we have "Matrix Algebra". For ODE, we have like four courses with different names about the same subject.

Covers analytic functions, Cauchy-Riemann equations, power series, Laurent series, elementary functions, contour integrals, and poles and residues. Introduction to conformal mapping and applications of analysis to problems in physics and engineering.

 

[flyingpig]

Wait, so he answered you "Yes", and you interpret it as "I'm not sure"?? Strange...

No, he just replied with "yes" and nothing else. Like I thought he could add something (even if it is unnecessary) in a full sentence to boost my credibility.

Maybe I am just overreacting.

 

[micromass]

Both are excerpts. I'll ask the prof if he could send me a syllabus.

Even then, I highly doubt that there will be Lebesgue integration in these courses, as this would already take up half a semester.
It is possible that you would have to take a course on measure theory afterwards, and the Real variables + measure theory course could then be the equivalent of the Real Analysis course.

That "Complex variable" course needs Calc III (MVC), it's only offered once every other year.

Do you also have a Complex Variables (not applied) or Complex Analysis course? I suggest you take that one...

I don't know why, but pretty much all the courses in my college do not have proper naming codes.

For Linear Algebra, we have "Matrix Algebra". For ODE, we have like four courses with different names about the same subject.

It could maybe help if you could post the link of your university site in question...

 

[micromass]

No, he just replied with "yes" and nothing else. Like I thought he could add something (even if it is unnecessary) in a full sentence to boost my credibility.

Maybe I am just overreacting.

Meet the answering style of professors I'm sure there is a PhD cartoon on the topic, I'll try to find it...

 

[micromass]

Here it is:

I guess that descirbes your experience well

 

[Skrew]

My understanding is that a "real variables" class is one which goes into basic analysis but not at the level of an actual analysis class, on the flip side you might cover more..

Take this as a grain of salt.