Mathematics

Analysis 1

Module code: G5135
Level 4
15 credits in autumn semester
Teaching method: Lecture, Workshop
Assessment modes: Coursework, Computer based exam

  • Sequences. Convergence, Cauchy sequences, subsequences.
  • Series. Convergence/divergence criteria.
  • Limits of functions. Definitions, examples and properties.
  • Continuity of functions.

Module learning outcomes

  • Appreciate rigorous arguments in analysis and deploy them to solve problems;
  • Understand sequences and series and the concepts of convergence and divergence;
  • Demonstrate knowledge of the definitions and the elementary properties of continuous functions of one real variable.