What will I learn?
The online Differential Calculus course (in its free or paid mode), Differential Calculus from Galileo University, shows you fundamental concepts and techniques of differential calculus, as well as their application to various problems in science and engineering. You will have the opportunity to acquire the knowledge and skills necessary to understand and apply the fundamental concepts of differential calculus in a variety of contexts. You will learn to calculate limits, derivatives, and derivative applications, as well as how to use these tools to solve practical problems in areas such as physics, economics, and engineering.
This course is aimed at anyone who wants to acquire or improve their knowledge of differential calculus, whether for personal interest or for academic or professional needs. Differential calculus is a fundamental tool in mathematics and science, used to understand and model changes in variables. The course has a rigorous and didactic approach, which combines clear and detailed explanations with examples and activities that will help you consolidate your learning.
This course is available on the edX platform, one of the most prestigious in the world for online education, founded by MIT and Harvard University. It can be taken in a completely free mode or by paying a small fee.
Contents of the online Differential Calculus course, Differential Calculus
The course is divided into the following units:
- Functions and limits. You will learn to define and classify functions of one variable, calculate their domains and ranges, and represent them graphically. You will also learn to define and calculate the limits of a function at a point or at infinity, and apply the properties and theorems of limits.
- Continuity and differentiability. You will learn to define and determine the continuity of a function at a point or on an interval, and to identify the types of discontinuities. You will also learn to define and calculate the derivative of a function at a point or of a function, and apply derivation rules and formulas.
- Applications of the derivative. You will learn to use the derivative to analyze the characteristics of a function, such as its monotonicity, extrema, inflection points, concavity, or convexity. You will also learn to use the derivative to solve optimization, approximation, rate of change, or motion problems.
- Integration. You will learn to define and calculate the indefinite integral of a function, using methods such as substitution, integration by parts, or partial fractions. You will also learn to define and calculate the definite integral of a function, using the fundamental theorem of calculus or the Barrow’s rule. You will also learn to use the integral to calculate areas, lengths, volumes, or work.
Free or paid differential calculus course
The course has two modalities: free and paid. The free differential calculus course modality allows you to access all the course content, including videos, readings, exercises, and discussion forums.
The paid modality also offers you the possibility of obtaining a verified edX certificate, which accredits your participation and completion of the course. This certificate can be of great value to your resume, as it demonstrates your interest and competence in differential calculus. Furthermore, by paying for the course, you will be contributing to ensuring that Galileo University and edX can continue to offer quality courses that are accessible to everyone. If you want to know more about the cost and benefits of this modality, I invite you to visit the course page on edX, where you will find all the information you need.
In conclusion, the online Differential Calculus course (in its free or paid mode), Differential Calculus, is an excellent opportunity to learn or review the essential concepts and techniques of differential calculus, and to apply them to solving real-world problems. Do not hesitate any longer and register for the course now. You won’t regret it!
