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MA270 Content


  • Continuous Vector-Valued Functions
  • Some Linear Algebra
  • Differentiable Functions
  • Uniform convergence and applications
  • Convergence of sequences and series of functions
  • Introduction to complex valued functions

Objectives: By the end of the module the students should be able to:

  • Understand uniform and pointwise convergence of functions together with properties of the limit function
  • Study the continuity, differentiability and integral of the limit of a uniformly convergent sequence of functions
  • Study complex differentiability (Cauchy-Riemann equations) and complex power series
  • Study contour integrals: Cauchy's integral formulas and applications.

Books: There is no recommended textbook for the course. A complete set of lecture notes will be provided.