Mathematics of Series Course
This course equips you with core mathematics for discrete-time signals, including convergence tests, ℓ1/ℓ2 norms, Fourier tools, and trigonometric approximations. Apply these to analyse, model, and enhance engineering and mathematical systems effectively, ensuring robust and precise results in real-world applications.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain essential tools to examine discrete-time signals, covering sequence properties, convergence tests, energy, power, and square-summability. Explore Fourier concepts, DTFT, and finite trigonometric methods, with focus on least squares, numerical stability, and proof techniques for dependable outcomes in practical scenarios.
Elevify Advantages
Develop Skills
- Master discrete-time series: construct, evaluate, and categorise vital signal sequences.
- Employ rapid convergence tests: determine series outcomes using solid proofs.
- Utilise ℓ1/ℓ2 methods: evaluate energy, power, and stability in discrete signals.
- Execute finite Fourier approximations: determine sinusoid parameters through least squares.
- Address numerical challenges: enhance conditioning, apply regularisation, 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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