Limits, Derivatives and Integrals Course
This course equips you with essential calculus tools for modeling and analyzing real-world processes, focusing on limits, derivatives, and integrals to solve practical problems in design, optimization, and system behavior.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This short, practical Limits, Derivatives and Integrals Course builds your skills in modelling real processes with continuous functions, evaluating limits, and identifying discontinuities. You will master derivatives as precise rates of change, apply optimisation to design decisions, and use definite integrals to compute total effects, all while following a clear, rigorous problem-solving workflow and professional solution standards.
Elevify advantages
Develop skills
- Master limits and continuity: build reliable, realistic physical models fast.
- Apply derivatives to optimise designs, safety margins, and thermal performance.
- Interpret derivatives as physical rates to explain real system behaviour clearly.
- Use definite integrals to compute total energy, heat, and key accumulated quantities.
- Follow a rigorous modelling workflow: set up, solve, check, and present results.
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
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