Real Analysis Course
This course equips learners with rigorous mathematical tools from real analysis to analyze financial time series, model returns, and design robust trading strategies, emphasizing limits, convergence, and asymptotic behavior for practical applications in portfolio management.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Real Analysis Course builds rigorous skills for understanding prices, returns, moving averages, and long-run 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 remain reliable under real-world data perturbations.
Elevify advantages
Develop skills
- Moving-average timing: design SMA20–SMA100 rules with rigorous limit logic.
- Return modelling: use log-returns and series limits to project long-run price paths.
- Robust strategy design: test SMA signals under noise, gaps, and perturbations.
- 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 workloadWhat our students say
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