ME306 (Real Analysis)

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.