Mathematics 3205 2019

• Some online Combinatorics texts:
  Enumerative Combinatorics, volume 1
  generatingfunctionology
  Combinatorics on Words
  Morris

• Course Outline/Handout 1

Section 1

• Class 1: Counting to Permutations page 1, page 2, page 3, page 4, page 5,
• Class2: Binomials page 6a, page 6b, page 7, page 8. page 9. page 10,
• Class3: Pascal and partitions page 11, page 12, page 12a, page 13, page 14. Maple Worksheet1.
• Class4: Stirling numbers page 15, page 16, page 17, page 18,
• Assignment 1

Section 2

• Class5: Generating functions page 19, page 20, page 21, page 22, page 23, Maple Worksheet2.
• Class6: Recurrences page 24, page 25, page 26, page 27, page 28,
• Class7: genfuncology page 25b, page 25c, page 29, page 30,
• Class8: Snake Oil1 page 31, page 32, page 33, page 34,
• Class9: Snake Oil2 page 35, page 36, page 37, page 38, Maple Worksheet3.
• Assignment 2

Section 3

• Class10: Comb on Words page 39, page 40, page 41, page 42,
• Class11: De Bruijn page 43, page 44, page 45, page 46,
• Class12: Morphisms page 47, page 48, page 49, page 50,
• Class13: Sturmian page 51, page 52, page 53, page 54, page 55, Maple Worksheet4.
• Class14: Codespage 55, page 56, page 57, page 58, page 59,
• Assignment 3

Section 4

• Class15: Polynomials page 60, page 61, page 62.
• Class16: Independence Polynomial page 63, page 64, page 65, page 66, page 67, Maple Worksheet5.
• Class17: Unimodal? page 68, page 69, page 70, page 71, page 72,
• Class18: Chromatic Addition page 73, page 74, page 75, page 76, page 77, Maple Worksheet6.
• Class19: Deletion, contraction, matching page 78, page 79, page 80, page 81, Maple Worksheet7.
• Assignment 4

Section 5

• Class20: Latin Squares page 82, page 83, page 84, page 85, page 86, Maple Worksheet8.
• Class21: Combinatorial Designs page 87, page 88, page 89, page 90, page 91, page 92,
• Class22: t-Designs page 88b, page 89b, page 90b, page 91b, page 92b, page 93, page 95, Maple Worksheet9
• Class23: making t-Designs page 94b, page 94c, page 94d, page 96, Golay 5-(12,6,1) design
• Assignment 5