Differential and Integral Calculus Course
Master derivatives, integrals, and optimization with rigorous, step-by-step methods. Connect calculus to geometry, PDEs, and dynamical systems while sharpening proof, modeling, and communication skills for advanced mathematical work.

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 behavior, and clear symbolic work, then moves to monotonicity, concavity, and accurate graph sketching. You will master optimization, 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 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 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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