Mathematics of Series Course
Master the mathematics of series for discrete-time signals. Learn convergence tests, l1/l2 criteria, Fourier-type tools and finite trigonometric approximation to analyse, model and optimise real-world mathematical and engineering systems. Gain practical skills in signal analysis, least squares fitting and numerical stability for reliable applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This 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 and finite trigonometric approximations, with focus on least squares methods, numerical conditioning and rigorous proofs for high-quality results in real-world applications.
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
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