Written solutions to starred exercises may be submitted at any time but no later than April 30. Exercises will be graded and returned to you within two weeks.
Lecture 1: Independent sets and examples (Exercises)
Lecture 2: Circuits and cryptomorphism (Exercises)
Lecture 3: Circuits continued (Exercises)
Lecture 4: Rank, closure, flats (Exercises)
Lecture 5: Flats of graphic matroids, uniform matroids (Exercises)
Lecture 6: Simple matroids (Exercises)
Lecture 7: Geometric representation (Exercises)
Lecture 8: Examples (Exercises)
Lecture 9: Strong basis exchange, duality (Exercises)
Lecture 10: Duality (Exercises)
Lecture 11: More duality (Exercises)
Lecture 12: Duality for representable matroids (Exercises)
Lecture 13: The lattice of flats
Lecture 14: More about flats (Exercises)
Lecture 15: Minors (Exercises)
Lecture 16: Excluded minor theorems
Lecture 17: Direct sum, truncation (Exercises)
Lecture 18: Connectivity (Exercises)
Lecture 19: More connectivity (Exercises)
Lecture 20: The characteristic polynomial (Exercises)
Lecture 21: Properties of the characteristic polynomial (Exercises)
Lecture 22: The chromatic polynomial of a graph (Exercises)
Lecture 23: Log-concavity
Lecture 24: Möbius inversion (Exercises)
Lecture 25: The finite field method
Lecture 26: Whitney numbers and Weisner's theorem (Exercises)
Lecture 27: Coefficients of the reduced characteristic polynomial (Exercises)
Lecture 28: Initial descending flags (Exercises)
Lecture 29: The Orlik-Solomon algebra (Exercises)
Lecture 30: Cohomology of the complement (Exercises)
Lecture 31: The Poincaré polynomial (Exercises)
Lecture 32: Towards a compactification of the complement (Exercises)
Lecture 33: The wonderful compactification
Lecture 34: The boundary of the wonderful compactification
Lecture 35: The cohomology of the wonderful compactification (Exercises)
Lecture 36: The Chow ring of a matroid (Exercises)
Lecture 37: The Chow ring and flags of flats (Exercises)
Lecture 38: The top-degree part of the Chow ring
Lecture 39: The Kähler package
Lecture 40: Log-concavity via the Hodge-Riemann relations
Lecture 41: The Bergman fan
Lecture 42: Minkowski weights, the degree map, the permutohedral variety, etc.