Harder topics in an calc based intro to probability class?

[torquerotates]

What are the harder topics in an calc based intro to probability class? I'm taking it in 3 weeks so I have time to prep. Here's the course layout:http://www.math.ucla.edu/ugrad/courses/math170ab/170Aoutline.shtml

 

[quasar987]

Make sure you have a good intuitive understanding of the operations on sets (union, intersection, exclusion, DeMorgan's law, etc). If that is done, the best thing you can do is start reading the text you're going to use and do problems in combinatoric. Combinatorics is very important for the rest of the class. The easiest part in my opinion comes at the end, with "Continuous random variables".

 

[Mene]

I can understand your concern about the harder topics in a calculus-based intro to probability class. Based on the course layout provided, I can see that the class will cover a wide range of fundamental concepts in probability, including basic probability rules, conditional probability, random variables, and distributions. These topics may be challenging for some students, but with proper preparation and practice, you should be able to excel in the class.

Some specific topics that may require extra attention and practice include:

1. Conditional probability and Bayes' theorem: This topic involves understanding the relationship between two events and how the probability of one event can be affected by the occurrence of another event.

2. Random variables and distributions: This topic involves understanding the concept of a random variable and how to calculate its expected value and variance. You will also learn about different types of distributions, such as binomial, Poisson, and normal distributions.

3. Joint and marginal distributions: This topic involves understanding the relationship between two or more random variables and how to calculate their joint and marginal probabilities.

4. The Central Limit Theorem: This is a fundamental concept in probability that states that the sum of a large number of independent random variables will tend towards a normal distribution.

To prepare for these topics, I would recommend reviewing your calculus skills, as well as practicing with probability problems and exercises. Additionally, make sure to attend all lectures and ask your instructor for clarification on any concepts that you find challenging. Good luck with your class!