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 analyze, model, and optimize real-world mathematical and engineering systems.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
The Mathematics of Series Course gives you practical tools to analyze discrete-time signals, from basic sequence behavior and convergence tests to energy, power, and square-summability. You will work with Fourier-type concepts, DTFT, and finite trigonometric approximations, emphasizing least squares, numerical conditioning, and rigorous proof techniques for reliable, high-quality results in real applications.
Elevify advantages
Develop skills
- Master discrete-time series: build, analyze, and classify key signal sequences.
- Apply fast convergence tests: decide series behavior 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, regularize, 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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