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Mathematics of Series Course

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

What will I learn?

The Mathematics of Series Course gives you practical tools to analyze discrete-time signals, from basic sequence behavior and convergence tests to energy, power, and square-summability. You will work with Fourier-type concepts, DTFT, and finite trigonometric approximations, emphasizing least squares, numerical conditioning, and rigorous proof techniques for reliable, high-quality results in real applications.

Elevify advantages

Develop skills

  • Master discrete-time series: build, analyze, and classify key signal sequences.
  • Apply fast convergence tests: decide series behavior 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, regularize, and avoid collinearity.

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.
Workload: between 4 and 360 hours

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