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

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Discussion Overview

The discussion revolves around the necessary calculus concepts to review in preparation for an Introduction to Probability and Statistics course. Participants explore the prerequisites and specific calculus topics that may be relevant for success in the course, considering the limited time available for review.

Discussion Character

  • Homework-related, Technical explanation, Conceptual clarification

Main Points Raised

  • The original poster (OP) expresses uncertainty about which calculus topics to review, noting a lack of recent practice with calculus concepts.
  • Some participants suggest that the requirements for calculus knowledge can vary significantly between statistics courses, recommending that the OP contact the professor for clarification.
  • A participant with experience as a teaching assistant for a similar course indicates that multivariable calculus, including double integrals, may be expected knowledge for the course.
  • The OP shares feedback from the professor, listing specific topics to review, including derivatives of common functions (excluding trigonometric functions), derivative rules, integration of common functions, definite integrals, and double integrals.
  • The OP raises a question about the extent to which they should prepare for double integrals, indicating they have not previously covered this topic.

Areas of Agreement / Disagreement

Participants generally agree that contacting the professor for clarification on prerequisites is advisable. However, there is no consensus on the specific calculus topics that should be prioritized for review, particularly regarding double integrals.

Contextual Notes

The discussion highlights the variability in course expectations and the potential gaps in the OP's calculus knowledge, particularly concerning double integrals, which may require further exploration.

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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