This course is a calculus based introductory course on probability theory. The
emphasis is on the main concepts, calculations and applications, rather than the
measure theoretical foundations. Therefore, measure theoretical issues are only
mentioned in passing. Sketches of the main theorems such as the law of large numbers
and the central limit theorem are given, assuming preparatory results from analysis
without proof. The course provides students with essential basic knowledge in
probability theory, hence preparing them for various real-world applications or more
advanced courses.