My introductory course was intended for engineering or computer science students, and covered some probability and some statistics. Calculus was a prerequisite. What is a corresponding course at UBC-V?

Likely STAT 251 (also the previous equivalent STAT 241): this course cover less topics of statistical methods compared with STAT 200 and less on probability theory compared with STAT 302. Some topics/vocabulary in this course are: discrete and continuous probability distributions, conditional probability, expectation, sampling distributions, estimation and testing.