Here is a set of introductory notes by Kevin Purbhoo, which are intended to introduce Schubert calculus an audience with little background in algebraic geometry and algebraic topology; they cover a similar set of material to Frank Sottile's first mini-course lecture
Mini-Course Exercises
(Note: Exercise 6a: beta_{k-1} should be beta_{k-i})
You can find lecture notes here: https://personal.math.vt.edu//lmihalce/slides.html or here: https://personal.math.vt.edu//lmihalce/QKlectures(UIUC).pdf