Basic Differential Calculus Course
Master differential calculus from the ground up, starting with limits and continuity and advancing through every major differentiation technique and application. This course gives you the analytical tools to solve optimisation problems, analyse function behaviour, and model real-world rates of change. Whether you're building towards engineering, physics, economics, or pure mathematics, this is the calculus foundation 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 their applications across science, engineering, and economics. The course covers all core differentiation rules, including the chain rule, product rule, and implicit differentiation, as well as derivatives of transcendental functions. You will learn to analyse functions using the first and second derivative tests, apply L'Hôpital's Rule to indeterminate forms, and solve related rates and optimisation problems. Linear approximation, differentials, and Newton's Method round out the applied topics. Supplementary material covers precalculus review, introductory integral calculus, and technology tools for verification and exploration.
Elevify advantages
Develop skills
- Limit Evaluation: Apply algebraic and graphical techniques to compute limits accurately.
- Differentiation Rules: Differentiate polynomial, trigonometric, exponential, and logarithmic functions fluently.
- Function Analysis: Use derivatives to identify extrema, concavity, and sketch complete function graphs.
- Applied Optimisation: Translate real-world constraints into calculus models and solve for optimal solutions.
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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