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Mathematics of Series Course

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

What will I learn?

This course equips you with essential tools to examine discrete-time signals, covering sequence patterns, convergence methods, energy, power, and square-summability. You'll explore Fourier principles, DTFT, and trigonometric approximations, focusing on least squares methods, numerical stability, and solid proofs for dependable outcomes in practical settings.

Elevify advantages

Develop skills

  • Master discrete-time series: construct, evaluate, and categorise vital signal patterns.
  • Apply swift convergence tests: determine series outcomes using strong proofs.
  • Employ ℓ1/ℓ2 techniques: gauge energy, power, and steadiness in discrete signals.
  • Execute finite Fourier approximations: derive sinusoid details through least squares.
  • Address numerical challenges: enhance stability, apply regularisation, and prevent collinearity issues.

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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