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Preparatory Mathematical Analysis (MPSI) Course

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

What will I learn?

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

Elevify advantages

Develop skills

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

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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