Integral Calculus Course
Dive into advanced integral calculus, mastering improper integrals, Gamma and Gaussian functions, parameter differentiation, and heat-kernel methods. Tailored for maths pros seeking precise tools for probability, PDEs, and rigorous computations of moments and transforms in real-world applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course equips you with essential techniques for improper integrals, Gamma and Gaussian integrals, and integration with parameters. You'll gain expertise in dominated convergence, Fubini-Tonelli theorems, differentiation under the integral, and heat-kernel convolutions, applying them to probability densities, expectations, variances, and moment-generating functions via 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 operations cleanly.
- Calculate expectations and variances through density integrals and recurrence methods.
Suggested summary
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