Mathematical Methods (7 ECTS)

    Course Code: 
    6143
    Semester: 
    4th
    Elective Courses
    Διδάσκων: 

    MIHALIS ZAZANIS

    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)