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Mathematics of Series Course

Mathematics of Series Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

The Mathematics of Series Course provides practical tools to analyse discrete-time signals, covering basic sequence behaviour, convergence tests, energy, power, and square-summability. Explore Fourier-type concepts, DTFT, finite trigonometric approximations, with focus on least squares, numerical conditioning, and rigorous proofs for high-quality results in real-world uses.

Elevify advantages

Develop skills

  • Master discrete-time series: build, analyse, and classify key signal sequences.
  • Apply fast convergence tests: decide series behaviour with rigorous proofs.
  • Use ℓ1/ℓ2 tools: assess energy, power, and stability of discrete-time signals.
  • Perform finite Fourier fits: estimate sinusoid parameters via least squares.
  • Tackle numerical issues: improve conditioning, regularise, and avoid collinearity.

Suggested summary

Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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