Differential and Integral Calculus Course
Gain mastery over derivatives, integrals, and optimisation through systematic, rigorous approaches. Link calculus principles to geometry, partial differential equations, and dynamical systems, while enhancing skills in proofs, mathematical modelling, and precise communication for higher-level studies. This comprehensive programme equips participants with essential tools for advanced mathematical pursuits, fostering deep analytical thinking and problem-solving prowess in real-world scenarios.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course develops expertise in derivatives, advanced analysis, and symbolic manipulation, progressing to monotonicity, concavity, and precise graphing techniques. Learners will excel in optimisation problems, both constrained and unconstrained, and build proficiency in definite integrals, antiderivatives, and the Fundamental Theorem of Calculus, alongside crafting detailed written justifications for sophisticated applications.
Elevify advantages
Develop skills
- Master derivatives: compute them swiftly, identify extrema, and draw accurate graphs.
- Apply integrals: compute Riemann sums, find areas, and leverage the Fundamental Theorem.
- Tackle optimisation: solve constrained and unconstrained problems with complete rigour.
- Communicate mathematics: produce clear, structured solutions with correct notation.
- Integrate calculus: relate key concepts to PDEs, dynamics, geometry, and measure theory.
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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