Documents

• Lab 1
  On-Line Encyclopedia of Integer Sequences
  Maple
• Mathematical induction   (.doc)  (pdf)
• Special Numbers
  • Iverson notation
  • Binomial coefficients
  • Stirling numbers of the first and second kinds
• Divided differences and the interpolating polynomial
• Sum of 4th powers via divided-difference table
• Fundamental Theorem of Discrete Calculus: the telescoping sum formula
• Solution of first-order linear recurrence relations
• Lab 2
  Maple sum, int, and rsolve commands
• Asymptotics
• Asymptotics exercises
• and   answers
• Combinatorics
  • How to count
  • Counting problems
  • Four-fold Way
  • Twelve-fold Way
• Probability
  • Probabilities and conditional probabilities of unions, intersections, and complements
  • Moments of a Discrete Random Variable/Distribution   (htm) (doc)
• Lab 3
  • Lab 3 instructions/commands
  • Maple solutions
• Special discrete probability distributions (ps), (pdf)
• Discrete probability distributions and summation formulas (ps) (pdf)
• Mean/expected value/expectation of a discrete random variable/distribution (ps) (pdf)
• Maple does generating functions.
  • In a terminal shell enter the following commands (noting the space dot at the end):
    cp ~holte/public/mcs256/demo.mw .
    xmaple &
  • From Maple, open demo.mw (now placed in your home directory).
  • Answer "Yes" to the autoexecute question.
  • Study the worked examples.
    Learn from them. Try to solve the extra problems in the demo.
• Recurrences in Maple