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
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.What our students say
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