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. This course equips you with essential tools for signal analysis, from sequence behavior to advanced Fourier methods and numerical stability.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
The Mathematics of Series Course provides practical tools to analyze discrete-time signals, covering basic sequence behavior, convergence tests, energy, power, and square-summability. Explore Fourier-type concepts, DTFT, finite trigonometric approximations, with focus on least squares, numerical conditioning, and proof techniques for reliable results in 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 workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can change chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
FAQ
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an online course and how does it work?
PDF Course