Choose your language

Basic Differential and Integral Calculus Course

Basic Differential and Integral Calculus Course
4 to 360 hours of flexible workload
certificate valid 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.
Workload: between 4 and 360 hours

What our students say

Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can switch chapters and skip content I don't need.
Mariana Ferres
Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!
Luciana Alvarenga
Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.
André Felipe
André FelipePrompt Engineering Student

FAQ

Who is Elevify? How does it work?

Do the courses come with a certificate?

Are the courses free?

What is the course duration?

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 online course and how does it work?

PDF Course