Mathematics of Series Course
Acquire mastery in the mathematics of series for discrete-time signals. Discover convergence tests, ℓ1/ℓ2 measures, Fourier-inspired techniques, and finite trigonometric approximations to analyse, model, and refine practical mathematical and engineering systems.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
The Mathematics of Series Course equips you with practical methods to examine discrete-time signals, covering fundamental sequence properties, convergence assessments, energy, power, and square-summability. Engage with Fourier principles, DTFT, and finite trigonometric methods, stressing least squares, numerical stability, and sound proof strategies for dependable outcomes in actual applications.
Elevify advantages
Develop skills
- Master discrete-time series: construct, analyse, and categorise essential signal sequences.
- Apply rapid convergence tests: determine series behaviour with strict proofs.
- Employ ℓ1/ℓ2 methods: evaluate energy, power, and stability of discrete-time signals.
- Execute finite Fourier approximations: estimate sinusoid parameters using least squares.
- Address numerical challenges: enhance conditioning, regularise, and prevent 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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