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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?

This course develops strong abilities in improper integrals, Gamma and Gaussian integrals, plus integration depending on parameters. Learners will excel in dominated convergence, Fubini and Tonelli theorems, differentiation beneath the integral, and heat-kernel convolutions. Via targeted examples, you acquire useful methods 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 normalize densities and compute moments efficiently.
  • Analyze heat kernels by deriving, normalizing, and convolving for smoothing applications.
  • Differentiate under the integral sign to justify interchanges and manage parameters effectively.
  • Compute expectations and variances through density integrals with 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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