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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, including exponential and trigonometric solutions plus long-time behavior analysis. Learn to reduce higher-order equations to first-order systems, perform hand calculations with Euler’s method, estimate global errors accurately, and leverage Taylor expansions with explicit remainder bounds for dependable, precise modeling in mathematical applications.

Elevify advantages

Develop skills

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

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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