ME306 (Real Analysis)
Contact
- Name: Domenico Mergoni
- Email: d.mergoni -at- lse.ac.uk
- Work: London School of Economics
Tip
Internet is a great resource. Use it. Some resources I like:
I do not have anymore any material I created during the teaching of this course. I can quote however the course overview. Because the material is quite basic, I don’t think it’s worth the effort to go and try to find more details about what was done and taught.
Course content (Official)
The course provides a rigorous, but accessible, treatment of real analysis and analysis on metric spaces and will be delivered by formal lectures supported by interactive classes.
- Basics: proof, logic, sets and functions,
- Real numbers and sequences,
- Functions, limits and continuity,
- Infinite series,
- Metric and normed spaces,
- Convergence, completeness and compactness,
- Continuity in metric spaces,
- The derivative,
- Convexity,
- Fixed point theorems.