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. This course equips you with practical skills for reliable signal analysis in engineering applications.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
The Mathematics of Series 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, finite trigonometric approximations, with focus on least squares, 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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