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Preparatory Mathematical Analysis (MPSI) Course

Preparatory Mathematical Analysis (MPSI) Course
from 4 to 360h flexible workload
certificate valid in your country

What will I learn?

Gain a swift, rigorous mastery of linear constant-coefficient ODEs, exponential and trigonometric solutions, and asymptotic behaviour in this Preparatory Mathematical Analysis (MPSI) Course. Practise reducing higher-order equations to first-order systems, hand-applying Euler’s method with global error estimates, and leveraging Taylor expansions with explicit remainder bounds for precise, high-fidelity modelling.

Elevify advantages

Develop skills

  • Solve linear ODEs using real, repeated, and complex root methods swiftly.
  • Analyse stability via eigenvalues, damping, and long-term behaviour.
  • Implement Euler's method by hand, computing steps, errors, and stability bounds rigorously.
  • Apply Taylor expansions to construct cubic polynomials with precise remainder estimates.
  • Derive tight bounds on solutions using exponential and derivative data effectively.

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.
Workload: between 4 and 360 hours

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