Integral Calculus Course
4/5
This Integral Calculus Mastery Course equips you with advanced techniques for improper integrals, Gamma functions, Gaussian integrals, and heat-kernel convolutions. Tailored for maths experts seeking precise methods in probability theory, partial differential equations, and accurate computations of moments and transforms using rigorous tools.

4.0 in the evaluation
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain strong expertise in improper integrals, Gamma and Gaussian integrals, plus integration with parameters. Master key theorems like dominated convergence, Fubini-Tonelli, and differentiation under the integral sign, alongside heat-kernel convolutions. Apply these through clear examples to handle 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 compute moments swiftly.
- Analyse heat kernels by deriving, normalising, and convolving for smoothing effects.
- Differentiate under the integral sign to justify parameter swaps cleanly.
- Compute expectations and variances via density integrals with smart recurrence methods.
Suggested summary
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