What will I learn?
The online calculus fundamentals course (in its free or paid mode), Pre-University Calculus, offers foundational knowledge and problem-solving skills necessary to excel in calculus and related disciplines. This course is not just about mastering calculus; it’s about developing the critical thinking, problem-solving, and analytical skills that are essential for success in higher education and beyond. course is designed to bridge the gap between high school and university mathematics, providing learners with the tools and techniques needed to tackle the complexities of calculus with confidence and proficiency.
Whether you’re a high school student gearing up for college-level mathematics, a college student seeking to strengthen your calculus foundation, or an adult learner looking to enhance your problem-solving abilities, this course is your ticket to mastering essential calculus concepts and techniques. Prepare yourself for the challenges and opportunities that await you in university-level mathematics. This course is tailored for high school graduates or anyone aiming to brush up on their calculus before entering university. A grasp of basic algebra and geometry is advisable to make the most of the curriculum. The course has a rigorous and didactic approach, which combines clear and simple explanations with examples and activities that will help you consolidate your learning. The course also offers you additional resources, such as readings, videos and links of interest, that you can consult to expand your knowledge and deepen the topics that interest you the most.
This course is available on the edX platform, one of the world’s most prestigious online education platforms, founded by MIT and Harvard University. It can be taken completely free of charge or for a small fee.
Contents of the online calculus fundamentals course, Pre-University Calculus
These are the contents of the course:
- Fundamental Concepts: Gain a deep understanding of fundamental calculus concepts, including limits, derivatives, and integrals, laying a solid foundation for advanced calculus studies.
- Differentiation Techniques: Learn various techniques for differentiation, including the chain rule, product rule, and quotient rule, and apply them to solve a wide range of calculus problems.
- Integration Methods: Explore methods of integration, such as substitution, integration by parts, and partial fractions, mastering the art of finding antiderivatives and evaluating definite integrals.
- Applications of Calculus: Discover the real-world applications of calculus in fields such as physics, engineering, economics, and biology, gaining insight into how calculus shapes our understanding of the natural world.
- Multivariable Calculus: Delve into multivariable calculus, exploring concepts such as partial derivatives, multiple integrals, and vector calculus, and their applications in three-dimensional space.
- Preparation for University: Prepare yourself for university-level calculus courses with challenging problems and exercises that will sharpen your critical thinking and problem-solving skills.
Free or paid calculus fundamentals course
The course has two modalities: free and paid. The free calculus fundamentals course allows you to access all the content of the course, including the videos, the readings, the exercises and the discussion forums.
The paid modality also offers you the possibility of obtaining a verified certificate from edX, which accredits your participation and approval of the course. This certificate can be of great value for your curriculum vitae, as it demonstrates your interest and competence in the use of calculus, a basic area of mathematics. In addition, by paying for the course, you will be contributing to the Delft University of Technology and edX being able to continue offering quality and accessible courses for 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 calculus fundamentals course (in its free or paid mode), Pre-University Calculus, offers you an excellent opportunity to review the fundamentals and applications of calculus, a basic area of mathematics. If you are interested in this topic, do not hesitate to register and start enjoying this course. I am sure you will not regret it.
