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METHODS OF APPLIED MATHEMATICS
90823
Description
Objectives 
We provide an introduction to complex analysis. Complex analysis is a branch of mathematics that involves functions of complex numbers. It provides an extremely powerful tool with an unexpectedly large number of applications, including applied mathematics, physics, and electrical engineering 

Course program
Complex Numbers - Complex functions- Limits, continuity, differentiation - Harmonic functions - Curves, contours and simply connected domains - Complex integration - Cauchy's Theorem - Cauchy's integral formula - Maximum modulus principle - Power series - Taylor's series - Laurent's series - Analytic functions - Zero of Analytic functions - Analytic continuation - Singularities and poles - Cauchy's residue theorem. 

ECTS credits
6
Teaching Language
English
Exam Language
English
Support Materials Language
English
Basic Learning Outcomes
  • Linear algebra (B1.1 - MEB - Linear algebra)
  • Differential algebra (B1.2 - MEB - Differential algebra)
  • Differential and integral calculus (B1.3 - MEB - Differential and integral calculus)
  • Differential and partial differential equations (B1.4 - MEB - Differential and partial differential equations)
  • Numerical methods and algorithms (B1.5 - MEB - Numerical methods and algorithms)
  • Ability to think independently and critically for process improvement and ability to engage in life-long learning. 
    (F12_G11 - Basic learning outcome G11 (related to final LO F12) - CEB - Ability to think independently and critically for process improvement and ability to engage in life-long learning. )
  • Ability to integrate information from different sources into practical knowledge 
    (F12_G16 - Basic learning outcome G16 (related to final LO F12) - CEB - Ability to integrate information from different sources into practical knowledge )
Final Learning Outcomes
  • Solve mathematical problems that may arise in engineering skillfully applying different methods
    (F01 - MEB - Solve mathematical problems that may arise in engineering skillfully applying different methods)
Course categorized
Managing Entity (faculty)