Portions of Calculus to Review for Intro. to Prob & Stats

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SUMMARY

The discussion centers on the necessary calculus concepts to review before taking an Introduction to Probability and Statistics course at Texas State. Key topics identified by the professor include derivatives of common functions (excluding trigonometric functions), derivative rules (chain, power, product, quotient), integration of common functions (excluding trigonometric functions), definite integrals, and double integrals. The course requires a solid understanding of multivariable calculus, particularly the ability to perform double integrals, which the original poster has not yet covered. It is recommended to reach out to the professor for further clarification on prerequisites.

PREREQUISITES
  • Understanding of basic derivatives and integrals
  • Familiarity with derivative rules: chain rule, power rule, product rule, quotient rule
  • Knowledge of definite integrals
  • Introduction to double integrals
NEXT STEPS
  • Review multivariable calculus concepts, focusing on double integrals
  • Practice derivative rules through exercises and examples
  • Study integration techniques for common functions
  • Consult the course syllabus for additional topics and resources
USEFUL FOR

Students preparing for an Introduction to Probability and Statistics course, particularly those with a background in computer science and limited recent experience in calculus.

Of Mike and Men
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Hey everyone,

I'm a CS major, and haven't been using calculus 1 or 2 for over a year and a half now. I vaguely remember any of it other than basic concepts (what derivatives and integrals are, second derivative, inflection points, etc.).

I am taking an Introduction to Probability and Statistics at Texas State this Summer and was wondering what I should review beforehand. It's only a 5-week course, so I won't have time to really pick up the necessary parts during the semester.

The syllabus can be found here: https://api.hb2504.txstate.edu/py/getsyllabus.py?class=173031792
And the book: https://www.amazon.com/dp/1118947088/?tag=pfamazon01-20

I plan on just covering basic derivatives and integrals since I don't really remember how to take them, but was wondering if I should cover more than this based on the provided information.

The course requires Calculus 2 as a pre-requisite, but I'm not sure if this is more of a math maturity thing (since I've had several other math courses in my CS plan that don't uses calculus but have calculus listed as pre-reqs).

Thanks.
 
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Hard to say from the available info. I've seen "calc-based" stats courses taught lots of different ways. Email the prof and ask him.
 
To the OP:

When I was in graduate school, I used to be a TA for a very similar course to what you will be taking, with similar prerequisites. The course I TA'd expected students to be able to be able to do multivariable calculus (i.e. integrate with multiple variables). An example would look something like this:

∫∫f(x,y)dxdy, where f(x,y) would be some (smooth) function with variables x, y.

I would suspect that the course you will be taking will be similar. Of course, as Dr. Courtney suggests, it would be best to e-mail the professor about the prerequisites and required background knowledge.
 
StatGuy2000 said:
To the OP:

When I was in graduate school, I used to be a TA for a very similar course to what you will be taking, with similar prerequisites. The course I TA'd expected students to be able to be able to do multivariable calculus (i.e. integrate with multiple variables). An example would look something like this:

∫∫f(x,y)dxdy, where f(x,y) would be some (smooth) function with variables x, y.

I would suspect that the course you will be taking will be similar. Of course, as Dr. Courtney suggests, it would be best to e-mail the professor about the prerequisites and required background knowledge.
Hi,

Thanks for your response. I contacted the professor and this is what he said:
-derivative of common functions excluding trig functions
- derivative rules: chain rule, power rule, product rule, quotient rule
-integration of common functions excluding trig functions
-definite integrals
-double integrals

I never covered double integrals. To what extent should I cover this topic in your experience? (I'll be in touch with the professor as well.)

Thanks.
 

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