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

flexible workload of 4 to 360h
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 the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course