The following topics are useful and foundational when working in data science.
Axioms of Probability, up to Maximum Likelihood.
Descriptive Statistics, Confidence Interval, Hypothesis Testing.
Mainly Python and possibly R.
To cover topics like Regression (linear regression), classifications (including decision trees) and clustering.
Topics include Calculus and Linear Algebra (eg. as applied to Principal Component Analysis)
Singapore Polytechnic - Specialist Diploma in Data Science (Data Analytics)