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.

from 4 to 360h 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 advantages
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 the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
As suas aulas são perfeitas. Adquiri o pacote de um ano e, finalmente, tenho a oportunidade de acompanhar diversos temas do meu interesse sem precisar mudar de plataforma... agradeço por tudo o que fazem, já recomendei vocês a outras pessoas...

Giulio CarloAluno de Marketing Digital
Eu gosto de como as lições são direto ao ponto e como eu consigo alterar capítulos e pular conteúdos que não preciso.

Mariana FerresAluna de Fotografia
Gosto do conteúdo e do modo de apresentação e transcrição de vídeos, o que acelera o processo!

Luciana AlvarengaAluna de Design de Unhas
A plataforma é rápida, simples de usar. A diversidade de conteúdo e os vídeos complementares ajudam muito no aprendizado.

Giulio CarloAluno de Engenharia de Prompt
FAQ
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