What will I learn?
The online engineering calculus course (in its free or paid mode), Engineering Calculus and Differential Equations, covers the basic concepts and techniques of calculus and differential equations, and show you how to use them to model and analyze various engineering and scientific problems. This course is designed to equip learners with the mathematical tools and problem-solving skills necessary to excel in engineering and related fields. You will learn how to differentiate and integrate functions, how to solve ordinary and partial differential equations, and how to apply these methods to problems involving heat transfer, fluid dynamics, vibrations, and more.
This course is designed for anyone who has a background in high school mathematics and wants to pursue a career or further study in engineering or science. Whether you’re a student preparing for university-level mathematics or a professional seeking to enhance your quantitative skills, this course offers a comprehensive exploration of calculus and differential equations tailored to your needs. The course assumes that you have some basic knowledge of calculus, such as limits, derivatives, integrals, and series. 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 engineering calculus course, Engineering Calculus and Differential Equations
These are the contents of the course:.
- Calculus Fundamentals: Explore the fundamental principles of calculus, including limits, derivatives, and integrals, laying a solid foundation for understanding rates of change, optimization, and approximation techniques.
- Techniques of Differentiation: Master various differentiation techniques, such as the chain rule, product rule, and quotient rule, and learn how to apply them to solve problems involving functions of single and multiple variables.
- Integration Methods: Delve into methods of integration, including substitution, integration by parts, and trigonometric substitution, gaining proficiency in finding antiderivatives and evaluating definite integrals.
- Differential Equations: Investigate ordinary and partial differential equations, learning how to classify, solve, and interpret solutions to differential equations in engineering and scientific contexts.
- Applications in Engineering: Discover the practical applications of calculus and differential equations in engineering disciplines, such as mechanical, electrical, civil, and chemical engineering, and gain insight into how mathematical concepts are used to model and solve engineering problems.
- Problem-solving Strategies: Develop effective problem-solving strategies and techniques, honing your analytical skills and mathematical reasoning abilities to tackle complex engineering problems with confidence and precision
Free or paid engineering calculus course
The course has two modalities: free and paid. The free engineering calculus 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 engineering calculus. In addition, by paying for the course, you will be contributing to the University of Hong Kong 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 engineering calculus course (in its free or paid mode), Engineering Calculus and Differential Equations, will equip you with the mathematical skills and knowledge that are vital for engineering and science. Don’t miss this opportunity and enroll today!
