This is the course I took in 2021 Fall semester, and the instructor is Daniel Burns. The textbook is Probability and Random Processes by Geoffrey Grimmett and David Stirzaker.

No measure theory is covered in this course.

Here are the (incomplete) notes I typesetted in $\LaTeX$: (most of the notes before the first midterm is VERY incomplete, most of the notes after mid October is examined to a certain extent, but there may still be mistakes and typos.) Feedbacks welcome!