Jacobians?

[mikeczyz]

Hey gang,
I am looking into graduate stats programs. Here's a list of pre-req's for a program I am looking into:

"The MS program has prerequisites of: linear/matrix algebra; advanced calculus through Jacobians and integrations of functions of several variables; and a year's worth of "elementary" probability and statistics."

what will this entail? Calc1-Calc3, linear algebra and some stats classes?

Any guesses when these topics are generally covered?

Thanks,
Mike

[holmansf]

At my university you need a "vector calculus" class to get Jacobians. It's 300 level.

[wooly_chicken]

I would think that would mean they want you to have taken a year long proof based calculus/analysis course (something along the lines of Rudin's "Principles of Mathematical Analysis" perhaps) and a year long proof based probability and statistics course.

[bluesbassman]

[ QUOTE ]
I would think that would mean they want you to have taken a year long proof based calculus/analysis course (something along the lines of Rudin's "Principles of Mathematical Analysis" perhaps) and a year long proof based probability and statistics course.

[/ QUOTE ]

No, to me it sounds like they expect the standard sequence of applied math. An engineering student would study the mentioned topics in the first 2-3 years.

The more rigorous proof-based real analysis, such as that found in Rudin's book, is rather different. From the description given by the OP, it doesn't really sound to me like they expect that type of course, which is usually taken by upper-division math students or grad students.

[Wyman]

[ QUOTE ]
[ QUOTE ]
I would think that would mean they want you to have taken a year long proof based calculus/analysis course (something along the lines of Rudin's "Principles of Mathematical Analysis" perhaps) and a year long proof based probability and statistics course.

[/ QUOTE ]

No, to me it sounds like they expect the standard sequence of applied math. An engineering student would study the mentioned topics in the first 2-3 years.

The more rigorous proof-based real analysis, such as that found in Rudin's book, is rather different. From the description given by the OP, it doesn't really sound to me like they expect that type of course, which is usually taken by upper-division math students or grad students.

[/ QUOTE ]

Rudin has two books. PoMA is commonly referred to as "Baby Rudin", and I can't imagine a graduate student using it. "Big Rudin" is _Real and Complex Analysis_, which OP never needs to look at (and I think that's what the last poster was referring to -- but I could be wrong).

IMO, you should have taken the standard 3 semesters of calculus (through vector, aka multivariable, calc) and then a course generally called "Advanced Calculus", which is generally more rigorous than your calc 3 class, generalizes calc 3 to n-dimensions (usually more formally than a calc 3 class), and introduces some more advanced concepts. An undergrad Real Analysis course (eg out of Baby Rudin) is probably unnecessary, but I'm sure it would be looked upon favorably.

Best of luck, OP.

[Edit: Obv you also have to take linear algebra and stats.]

[bluesbassman]

[ QUOTE ]
Rudin has two books. PoMA is commonly referred to as "Baby Rudin", and I can't imagine a graduate student using it. "Big Rudin" is _Real and Complex Analysis_, which OP never needs to look at (and I think that's what the last poster was referring to -- but I could be wrong).



[/ QUOTE ]

Oh yeah, I was referring to "Big Rudin," which is the one with which I'm familiar. (Didn't recall the exact title, so I just assumed.)

[oe39]

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Calc1-Calc3, linear algebra and some stats classes?


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seems like there hasn't been a better response than your guess (which is likely right).

[jason1990]

[ QUOTE ]
"The MS program has prerequisites of: linear/matrix algebra; advanced calculus through Jacobians and integrations of functions of several variables; and a year's worth of "elementary" probability and statistics."

what will this entail? Calc1-Calc3, linear algebra and some stats classes?

[/ QUOTE ]
It depends what is covered in Calc1-Calc3 at your university. If Jacobians and integration of functions of several variables is covered, then that would probably be sufficient. Also, I'm sure you need a calculus-based introductory course in probability and statistics. There are many basic stats classes which are not calculus-based, and I doubt those would be sufficient for the MS program.

[mikeczyz]

thanks for your input, fellas.