Limits, Derivatives and Integrals Course
Gain mastery in limits, derivatives, and integrals using real physical models. Develop skills to create continuous functions, optimise power and cooling systems, interpret rates of change, and calculate accumulated quantities for reliable mathematical decisions in engineering and science contexts.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This practical course on Limits, Derivatives, and Integrals equips you with skills to model real-world processes using continuous functions, evaluate limits, spot discontinuities, master derivatives for rates of change, apply optimisation in design, and compute total effects with definite integrals, all via a clear, rigorous problem-solving approach and professional standards.
Elevify advantages
Develop skills
- Master limits and continuity to build reliable physical models quickly.
- Apply derivatives for optimising 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 accumulated quantities.
- Follow a rigorous modelling workflow: set up, solve, check, and present results.
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
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