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Mathematics of Series Course

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

What will I learn?

Gain practical tools to analyze discrete-time signals, covering sequence behavior, convergence tests, energy, power, square-summability, Fourier concepts, DTFT, finite trigonometric approximations, least squares, numerical conditioning, and proof techniques for high-quality results in real-world 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 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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