Real Analysis Course
This course equips learners with essential real analysis tools to analyze financial time series, design robust trading strategies using moving averages, model returns and growth, and communicate quantitative insights effectively.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This Real Analysis Course builds strong skills for grasping prices, returns, moving averages, and the long-term behaviour of strategies. Learn limits, convergence, log-returns, and exponential growth, then apply them to SMA windows, timing rules, noise, and robustness. Gain clear, practical tools to test signals, explain results, and judge when models stay reliable under real-world data changes.
Elevify advantages
Develop skills
- Moving-average timing: design SMA20–SMA100 rules with strong limit logic.
- Return modelling: use log-returns and series limits to project long-term price paths.
- Robust strategy design: test SMA signals under noise, gaps, and changes.
- Asymptotic growth insight: link limit of returns to exponential portfolio growth.
- Quantitative communication: explain real-analysis results clearly to portfolio teams.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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