Differential and Integral Calculus Course
Master derivatives, integrals, and optimisation using rigorous, step-by-step approaches. Link calculus concepts to geometry, partial differential equations, and dynamical systems, while honing proof-writing, modelling, and communication abilities for advanced mathematical pursuits.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course on Differential and Integral Calculus develops solid proficiency in derivatives, higher-order analysis, and precise symbolic manipulation, progressing to concepts like monotonicity, concavity, and effective graph sketching. Learners will excel in optimisation techniques, both constrained and unconstrained, and build assurance in definite integrals, antiderivatives, and the Fundamental Theorem of Calculus, alongside crafting thorough written justifications for sophisticated uses.
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 optimization: handle constrained/unconstrained problems with full rigor.
- Communicate math: 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 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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