I was asked to teach the following topics to undergraduate Computer Science (CS) students in a discrete math course:
- Sequences (definition, convergent sequences, find the limit of a convergent sequence, properties of convergent sequences)
- Series (partial sums, convergent series, geometric series, harmonic series, test for divergence)
- Testing series (integral test, comparison tests, alternating series test, absolute convergence, ratio and root tests)
- Power series
- Taylor series
This is included in my course because CS students are not required to take a 2nd calculus course. But I was told these topics may be useful if they go to graduate school so we must teach it somewhere.
I cannot really think of any graduate CS courses which may require these topics. How should I motivate my students in this case?