Mathematics of Series Course
Dive into the mathematics of series for discrete-time signals in this comprehensive course. Gain expertise in convergence tests, ℓ1/ℓ2 measures, Fourier tools, and finite trigonometric methods to effectively analyse, model, and enhance mathematical and engineering applications with precision and reliability.

from 4 to 360h flexible workload
certificate valid 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. 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 by constructing, evaluating, and categorising vital signal patterns.
- Employ rapid convergence tests to determine series outcomes using strict proofs.
- Utilise ℓ1/ℓ2 techniques to gauge energy, power, and stability in discrete-time signals.
- Execute finite Fourier approximations to derive sinusoid details through least squares.
- Address numerical challenges by enhancing conditioning, applying regularisation, and preventing collinearity.
Suggested summary
Before starting, you can change the chapters and 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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