Basic Differential and Integral Calculus Course
Master every core concept in differential and integral calculus, from limits and derivatives to series and differential equations. This comprehensive course builds rigorous analytical skills through structured theory, worked examples, and applied problem-solving. Whether you are preparing for advanced coursework or strengthening your mathematical foundation, this is the complete calculus resource you need.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
You will develop a thorough understanding of limits, derivatives, and integrals, progressing from foundational definitions to advanced techniques such as integration by parts, trigonometric substitution, and partial fraction decomposition. You will apply derivatives to optimise functions, analyse curve behaviour, and solve related-rate problems. Definite integrals will be used to compute areas, volumes, arc lengths, and physical quantities like work and fluid force. You will also study infinite sequences and series, including Taylor and Maclaurin series representations. The course concludes with first-order differential equations and modelling applications that connect all major calculus concepts.
Elevify advantages
Develop skills
- Limit and Derivative Mastery: Evaluate limits and differentiate any elementary function with confidence.
- Integral Calculus Application: Set up and solve definite integrals for area, volume, and work problems.
- Series Convergence Analysis: Determine convergence of infinite series using multiple systematic tests.
- Differential Equation Modelling: Solve first-order ODEs to model real-world growth and decay scenarios.
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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