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Integral Calculus Course

Integral Calculus Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

Build strong foundations in improper integrals, Gamma and Gaussian integrals, and parameter-dependent integration. Master key theorems like dominated convergence, Fubini, Tonelli, and differentiation under the integral sign. Apply heat-kernel convolutions and compute probability densities, expectations, variances, and moment-generating functions through practical, worked examples.

Elevify advantages

Develop skills

  • Master improper integrals using dominated convergence and Fubini rigorously.
  • Apply Gamma and Gaussian integrals to normalize densities and compute moments quickly.
  • Analyze heat kernels by deriving, normalizing, and convolving for smoothing effects.
  • Differentiate under the integral sign to justify swaps and manage parameters effectively.
  • Compute expectations and variances through density integrals and recurrence methods.

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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