Integral Calculus Course
Dive into advanced integral calculus with this course tailored for maths pros seeking precise methods in improper integrals, Gamma functions, Gaussian integrals, and heat-kernel convolutions. Perfect for boosting skills in probability theory, partial differential equations, and accurate computations of moments and transforms in rigorous settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with essential techniques in improper integrals, Gamma and Gaussian integrals, plus integration depending on parameters. You'll grasp dominated convergence, Fubini-Tonelli theorems, differentiation beneath the integral, and heat-kernel convolutions. Practical examples help you apply these to probability densities, expectations, variances, and moment-generating functions effectively.
Elevify advantages
Develop skills
- Master improper integrals using dominated convergence and Fubini theorems rigorously.
- Apply Gamma and Gaussian integrals to normalise densities and calculate moments swiftly.
- Analyse heat kernels through derivation, normalisation, and convolution for smoothing applications.
- Differentiate under the integral sign to manage parameters and justify operation swaps cleanly.
- Compute expectations and variances via density integrals and handy recurrence relations.
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.What our students say
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