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 norms, Fourier tools, and finite trigonometric methods to analyse, model, and enhance mathematical and engineering applications with precision and reliability.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Mathematics of Series Course equips you with essential tools to examine discrete-time signals, covering sequence patterns, convergence methods, energy, power, and square-summability. You'll explore Fourier principles, DTFT, and trigonometric approximations, focusing on least squares methods, numerical stability, and solid proofs for effective real-world use.
Elevify advantages
Develop skills
- Master discrete-time series: construct, evaluate, and categorise vital signal patterns.
- Apply swift convergence tests: determine series outcomes using strong proofs.
- Utilise ℓ1/ℓ2 techniques: measure energy, power, and signal stability.
- Execute finite Fourier approximations: determine sinusoid traits through least squares.
- Address numerical challenges: enhance stability, apply regularisation, and prevent 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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