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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?

The Preparatory Mathematical Analysis (MPSI) Course offers a swift, rigorous route to mastering linear constant-coefficient ODEs, their exponential and trigonometric solutions, and long-term behaviour. Learners practise reducing higher-order equations to first-order systems, manually applying Euler’s method, estimating global errors, and leveraging Taylor expansions with explicit remainder bounds for dependable, high-precision 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 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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