HUNTERTUTORING

Complex arithmetic and functions

Complex variables for engineers · Standard syllabus

Complex numbers, polar form, and Euler's formula

Objectives

  • Complex numbers, polar form, and Euler's formula
  • Complex functions and mappings in the plane
  • Limits, continuity, and analyticity (engineering emphasis)
  • Cauchy–Riemann equations and harmonic conjugates
  • Elementary functions: exp, log, sin, cos in the complex plane

Study materials