Compare with 1 courses

Advanced Analysis

Advanced Analysis

Free

SUBJECT CODE : CUTM1519

Learn more
Has discount
Expiry period Lifetime
Made in English
Last updated at Fri Jan 2025
Level
Beginner
Total lectures 7
Total quizzes 0
Total duration Hours
Total enrolment 0
Number of reviews 0
Avg rating
Short description SUBJECT CODE : CUTM1519
Outcomes
  • Understand the Euclidean distance function on Rn and appreciate its properties, and state and use the Triangle and Reverse Triangle Inequalities for the Euclidean distance function on Rn
  • Explain the definition of continuity for functions from Rn to Rm and determine whether a given function from Rn to Rm is continuous
  • Explain the geometric meaning of each of the metric space properties and be able to verify whether a given distance function is a metric
  • Distinguish between open and closed balls in a metric space and be able to determine them for given metric spaces
  • Define convergence for sequences in a metric space and determine whether a given sequence in a metric space converges
Requirements