Integral Calculus Course
4/5
This Integral Calculus course equips math professionals with advanced techniques for improper integrals, Gamma and Gaussian integrals, and heat-kernel convolutions. It focuses on rigorous methods like dominated convergence, Fubini-Tonelli, and differentiation under the integral sign, ideal for probability, PDEs, moments, and transforms.

4.0 in rating
4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course develops expertise in improper integrals, Gamma and Gaussian integrals, and integration with parameters. Learners will excel in dominated convergence, Fubini-Tonelli theorems, differentiation under the integral, and heat-kernel convolutions. Practical examples provide tools for probability densities, expectations, variances, and moment-generating functions.
Elevify advantages
Develop skills
- Master improper integrals using dominated convergence and Fubini rigorously.
- Apply Gamma and Gaussian integrals to normalize densities and compute moments.
- Analyze and convolve heat kernels for smoothing applications.
- Differentiate under the integral sign to handle parameters effectively.
- Compute expectations and variances via density integrals and recurrences.
Suggested summary
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