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Integral Calculus Course

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

What will I learn?

This course equips you with essential skills in improper integrals, Gamma and Gaussian integrals, and integration depending on parameters. Master key theorems like dominated convergence, Fubini-Tonelli, and differentiation under the integral sign, plus heat-kernel convolutions. Gain practical expertise through examples for probability densities, expectations, variances, and moment-generating functions.

Elevify advantages

Develop skills

  • Master improper integrals using dominated convergence and Fubini theorems rigorously.
  • Apply Gamma and Gaussian integrals to normalise densities and compute moments efficiently.
  • Analyse and derive heat kernels for convolution and smoothing applications.
  • Differentiate under the integral sign to handle parameters and justify operations cleanly.
  • Compute expectations, variances via density integrals and recurrence methods effectively.

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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