Mathematical Methods (7 ECTS)

Course Code: 
Elective Courses

Linear recurrence relations. Linear differential equations with constant coefficients. Matrix equations,  The exponential matrix . Orthogonal polynomials. Characteristic functions. Laplace transforms. Combinatorial Analysis. Permutations, orders, combinations. Enumeration techniques, binomial coefficients, probability generating functions, partitions. Elements of the graph theory. Restricted optimization. Kurtosis.

Recommended Reading

  • Lipschutz S., Lipson Marc Lars, Γραμμική Άλγεβρα, 5η έκδοση, Εκδόσεις Τζιόλα, 2013.
  • Slomson A. (1991). An introduction to combinatorics, Chapman and Hall.
  • Arrowsmith D. K. and Place C. M. Ordinary differential equations. Chapman and Hall.
  • Τσουμπελής, Δ. (2008). Συνήθεις Διαφορικές Εξισώσεις, Πανεπιστήμιο Πατρών.
  • Χαραλαμπίδης, Χ. (2010). Συνδυαστική Ανάλυση. Εκδόσεις Συμμετρία.
  • Bellman, R. (1987). Matrix Analysis. Classics in Applied Mathematics, SIAM Publishing.
  • Liu, C.L. (1968). Introduction to Combinatorial Mathematics. McGraw-Hill.
  • Strang, G. (1986). Introduction to Applied Mathematics. Wellesley-Cambdridge Press.
  • Logan, D.J. (2010). Εφαρμοσμένα Μαθηματικά. Πανεπιστημιακές Εκδόσεις Κρήτης.

(old title:  Calculus III – Introduction to Optimization)