EQE 545 – Mathematical Methods in Earthquake Engineering

COURSE NO AND TITLE : EQE 545 - Mathematical Methods in Earthquake Engineering

INSTRUCTOR : Assoc. Prof. Dr. Ufuk Hancılar
 
COURSE OBJECTIVES : 
  • To provide theoretical background for the most common mathematical methods used in the engineering characterization of strong ground motion, structural and soil dynamics, response analysis and identification, and  the general problems within scope of the performance based earthquake engineering,
  • To improve and contribute to students’ understandings of their implementation by hands-on training.
 
COURSE SYLLABUS : 
 
  • Linear algebra and complex analysis
  • Functional analysis: Series and evaluation of line integrals
  • Differential equations
  • Random variable theory, probability theory and distributions, statistical inference methods
 
PREREQUISITES : -
 
DURATION & HOURS PER WEEK : 3 hours/week   / 3+0+0
 

GRADING BASIS : 

  • Class attendance and participation: 20%
  • Mid-term exam: 30%
  • Final exam: 50%
 
REFERENCE TEXTBOOKS : 
  • Kreyszig, E. (several editions available): Advanced Engineering Mathematics, Wiley.
  • Cakmak, A. S., Botha, J.F. and Gray, W. G. (1987): Computational and Applied Mathematics for Engineering Analysis, Computational Mechanics Publications, Springer.
  • Bayın, S. S. (2008): Essentials of Mathematical Methods in Science and Engineering, John Wiley & Sons.
  • Martin, T. W. and Spanier, E. H. (1969): Mathematical Methods in Physics and Engineering, McGraw Hill.
  • Bozorgnia, Y. and Bertero, V. V. (2004): Earthquake Engineering - from Engineering Seismology to Performance-Based Engineering, CRC Press.