Which topics should one cover in teaching a course titled “Artificial Intelligence and Machine Learning”?
Here's my proposal.


A little bit of math to "refresh" the concepts needed in the next module.
A little bit of statistics. This is my opinion can be used to analyze data sets from a statistical point of view, useful for some machine learning trained algorithms.
The basics of one programming language you want to use across the course. Not knowing all the details I would say Python because there are a lot of libraries for ML available.
Main neural networks and examples.
Expert systems. Not very much hype about these currently, but in my opinion a good option.
Machine learning algorithms and examples.