Integral Calculus Course
This Integral Calculus Mastery Course equips math professionals with essential tools for improper integrals, Gamma and Gaussian integrals, parameter-dependent integration, dominated convergence, Fubini-Tonelli theorems, differentiation under the integral sign, and heat-kernel convolutions. Gain practical expertise in probability densities, expectations, variances, and moment-generating functions via focused examples for PDEs and rigorous computations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Build strong foundations in improper integrals, Gamma and Gaussian integrals, and parameter-dependent integration. Master key theorems like dominated convergence, Fubini, Tonelli, and differentiation under the integral sign. Apply heat-kernel convolutions and compute probability densities, expectations, variances, and moment-generating functions through practical, worked examples.
Elevify advantages
Develop skills
- Master improper integrals using dominated convergence and Fubini rigorously.
- Apply Gamma and Gaussian integrals to normalize densities and compute moments quickly.
- Analyze heat kernels by deriving, normalizing, and convolving for smoothing effects.
- Differentiate under the integral sign to justify swaps and manage parameters effectively.
- Compute expectations and variances through density integrals and recurrence methods.
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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