Integral Calculus Course
Gain mastery over improper integrals, Gamma functions, and heat-kernel convolutions through this Integral Calculus Mastery Course. Tailored for maths experts seeking precise methods in probability, partial differential equations, and exact computations of moments and transforms. Build confidence with rigorous theorems like dominated convergence, Fubini-Tonelli, and differentiation under integrals, applying them to real probability tools via clear examples.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with strong abilities in improper integrals, Gamma and Gaussian integrals, plus integration depending on parameters. You'll get expert at dominated convergence, Fubini and Tonelli theorems, differentiating under the integral, and heat-kernel convolutions. Worked examples help you swiftly pick up tools for probability densities, expectations, variances, and moment-generating functions.
Elevify advantages
Develop skills
- Master improper integrals using dominated convergence and Fubini theorems rigorously.
- Apply Gamma and Gaussian integrals to normalise densities and calculate moments efficiently.
- Analyse heat kernels by deriving, normalising, and convolving for smoothing effects.
- Differentiate under the integral sign to handle parameters and justify operations properly.
- Compute expectations and variances through density integrals with handy recurrence methods.
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 workloadWhat our students say
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