Integral Calculus Course
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 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
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
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course