Integral Calculus Course
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.

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
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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