Differential and Integral Calculus Course
This course provides a comprehensive foundation in differential and integral calculus, covering derivatives, integrals, optimization, and their applications, while developing skills in mathematical communication and connections to advanced topics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Differential and Integral Calculus Course builds strong skills in derivatives, higher-order behaviour, and clear symbolic work, then moves to monotonicity, concavity, and accurate graph sketching. You will master optimisation, constrained and unconstrained, and gain confidence with definite integrals, antiderivatives, and the Fundamental Theorem, while improving rigorous written explanations for advanced applications.
Elevify advantages
Develop skills
- Master derivatives: compute, classify extrema, and sketch precise graphs fast.
- Apply integrals: evaluate Riemann sums, areas, and use the Fundamental Theorem.
- Solve optimisation: handle constrained/unconstrained problems with full rigour.
- Communicate maths: write clear, well-structured, notation-accurate solutions.
- Connect calculus: link core tools 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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