How hard is a intro to probability theory

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Discussion Overview

The discussion revolves around the difficulty level of an introductory probability theory course at UCLA, particularly for someone with a background in calculus, differential equations, and linear algebra. Participants explore the transition from community college to university-level coursework, comparing probability theory to calculus and discussing its relevance for future academic pursuits.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses concern about the difficulty of probability theory compared to their previous calculus courses, noting that probability seems more complex.
  • Another participant suggests that if the course is calculus-based, it should not be too hard, especially once familiar with random variables.
  • There is a question about whether the course is focused on probability or measure theory, indicating a potential difference in difficulty.
  • Some participants mention that complex analysis may be harder than probability theory, with one noting it is fun but more challenging.
  • One participant emphasizes the importance of problem-solving skills in succeeding in the probability course, regardless of prior calculus experience.
  • Concerns are raised about the transition from community college to a four-year university, with suggestions to take the easier course first to ease this transition.
  • There is uncertainty about how different probability theory is from calculus, with one participant stating it is different but not necessarily harder.

Areas of Agreement / Disagreement

Participants express mixed views on the difficulty of the probability course, with some believing it will be manageable while others highlight its complexity. There is no consensus on whether probability theory is easier or harder than complex analysis, and opinions vary on its usefulness for graduate studies in pure mathematics versus applied mathematics.

Contextual Notes

Some participants mention the need for problem-solving abilities and the potential differences in course content (probability vs. measure theory) without resolving these points. The discussion reflects varying levels of apprehension and expectations regarding university coursework.

Who May Find This Useful

Students transitioning from community college to university, particularly those considering courses in probability theory or complex analysis, may find this discussion relevant.

torquerotates
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torquerotates said:
My background is calculus through differential equations and linear algebra at a community college. How hard is an intro to probability theory at a school like UCLA?http://www.math.ucla.edu/ugrad/courses/math170ab/170Aoutline.shtml I'm thinking about taking it this fall.

Looks like that will be a simple class for someone with your math background...I think you'll find it's easily within your grasp. Will this be your first class at a university?
 
Yeah, that is going to be one of my first classes at a university. I don't know how much more difficult it is compared to a community college.
 
Is this a probability course or a measure theory course with probability??
 
I don't really know if probability theory is simple when you've taken calculus. Calc is more concrete and deals with situations which you can visualize. Probability seems like it is more complex than that although I've never actually taken it.
 
Nah if it's just a straight up calculus based probability course, it shouldn't be too hard at all. Once you get used to the various random variables, it gets much easier.
 
is this course useful to take if you plan on going to grad schools in pure math?
 
is this course useful to take if you plan on going to grad schools in pure math?

No. But I might go into actuarial science or grad school for applied math.

Nah if it's just a straight up calculus based probability course, it shouldn't be too hard at all. Once you get used to the various random variables, it gets much easier.

Well, I have the option of taking complex analysis instead. Since they are held at the same time I have to pick one or the other. So which one is harder?
 
complex analysis is probably(pun intended) going to be the harder class, very fun though.
 
  • #10
intro to probability course like this requires basic calculus and discrete maths. However they are just requirement to take the course. To succeed in this course, you need to have ability to solve problem using those techniques.
 
  • #11
I found complex analysis to be a bit more difficult than my probability courses. But don't take a course because it's easier.

If you want to apply to applied math grad, a course in probability is probably much more appropriate, lol.
 
  • #12
Well, I'm probably going to have to take both anyways because my university requires elective credits. I would rather take the easier one my first term to ease my transition from a community college to a 4 yr university.

Say, how different is probability theory from calculus? I'm used to doing mostly calculations and occasionally some applications in physics. My background doesn't go much further than that.
 
  • #13
torquerotates said:
Well, I'm probably going to have to take both anyways because my university requires elective credits. I would rather take the easier one my first term to ease my transition from a community college to a 4 yr university.

Say, how different is probability theory from calculus? I'm used to doing mostly calculations and occasionally some applications in physics. My background doesn't go much further than that.

I think you may be a bit apprehensive since it's your first class at a university...I was the same way, I started at a community college, too. Being a little nervous is a good thing - it's a really good motivator, I found.

I would advise taking the probability class first, because if you have to take them both anyway it will likely be the easier class.

As far as how different probability is...well, it's different - not harder but I don't know how to describe it. I hope you get a good prof - if you need help, come back here, of course!
 

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