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Integral Calculus Course

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

What Will I Learn?

Gain expertise 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, plus heat-kernel convolutions. Apply these to compute probability densities, expectations, variances, and moment-generating functions through practical examples.

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 utilise heat kernels for derivation, normalisation, and convolution smoothing.
  • Differentiate under the integral sign to handle parameters and justify integral swaps cleanly.
  • Compute expectations and variances via density integrals and recurrence methods effectively.

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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