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Integral Calculus Course

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

What will I learn?

This course develops expertise in improper integrals, Gamma and Gaussian integrals, and integration with parameters. Learners will excel in dominated convergence, Fubini-Tonelli theorems, differentiation under the integral, and heat-kernel convolutions. Practical examples provide tools for probability densities, expectations, variances, and moment-generating functions.

Elevify advantages

Develop skills

  • Master improper integrals using dominated convergence and Fubini rigorously.
  • Apply Gamma and Gaussian integrals to normalize densities and compute moments.
  • Analyze and convolve heat kernels for smoothing applications.
  • Differentiate under the integral sign to handle parameters effectively.
  • Compute expectations and variances via density integrals and recurrences.

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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