UBC Math 305 Tutoring

  • About The Owner: A Professional Math Tutor With a Ph.D. Degree in Math for Face-to-Face and   Online Math Tutoring

UBC Math 305 Topics Are:

  • Preliminaries
  • Complex numbers
  • Polar form, powers, and roots
  • Sets in the complex plane and mappings
  • Functions
  • Continuity
  • Differentiability and the Cauchy-Riemann equations
  • Holomorphic functions
  • Power series
  • The exponential and logarithm functions
  • Integration
  • Contours
  • Integration along contours
  • Primitives
  • Cauchy’s theorem and applications
  • Cauchy’s theorem and Cauchy’s integral formulas
  • Toy contours and evaluation of integrals
  • Liouville’s theorem
  • The fundamental theorem of algebra
  • Meromorphic functions
  • Zeros and poles
  • Laurent series
  • The residue formula
  • Evaluation of integrals
  • The argument function and the winding number
 Copyright Notice: Individuals may make one copy of the posted pdf files for personal study. No file may be reproduced in any form.