Integral Calculus Course
Master improper integrals, Gamma functions, and heat-kernel convolutions in this Integral Calculus Course, designed for math professionals who want sharper tools for probability, PDEs, and rigorous moment and transform computations.

4 to 360 hours of flexible workload
valid certificate in your country
What Will I Learn?
This Integral Calculus Course builds solid skills in improper integrals, Gamma and Gaussian integrals, and parameter-dependent integration. You will master dominated convergence, Fubini and Tonelli, differentiation under the integral sign, and heat-kernel convolution. Through focused, worked examples, you quickly gain practical tools for probability densities, expectations, variances, and moment-generating functions.
Elevify Differentials
Develop Skills
- Master improper integrals: apply dominated convergence and Fubini with rigor.
- Use Gamma and Gaussian integrals: normalize densities and compute moments fast.
- Analyze heat kernels: derive, normalize, and use convolution for smoothing.
- Differentiate under the integral sign: justify swaps and handle parameters cleanly.
- Compute expectations and variances: evaluate density integrals with recurrence tools.
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
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