Integral Calculus Course
This Integral Calculus Mastery Course equips math professionals with advanced tools for improper integrals, Gamma functions, Gaussian integrals, and heat-kernel convolutions. Ideal for precise work in probability theory, partial differential equations, and rigorous computations of moments and transforms, featuring practical examples and theorem applications.

flexible workload of 4 to 360h
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, along with 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 efficiently.
- Analyse and utilise heat kernels through derivation, normalisation, and convolution techniques.
- Differentiate under the integral sign to manage parameters and justify integral swaps confidently.
- Compute expectations and variances via density integrals and recurrence relations effectively.
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.What our students say
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