Vector Calculus for Engineers
The fundamental theory and applications of Vector Calculus are covered in this course. You will learn about scalar and vector fields in the first week, differentiating fields in the second week, and multidimensional integration and curvilinear coordinate systems in the third week. Line and surface integrals are covered in the fourth week, and the essential theorems of vector calculus, such as the gradient theorem, divergence theorem, and Stokes' theorem, are covered in the fifth week. In key engineering courses like electromagnetism and fluid mechanics, these theorems are required. This is one of the best online calculus courses.
Some universities may refer to this subject as Multivariable Calculus, Multivariate Calculus, or Calculus 3. A prerequisite is two semesters of single variable calculus (differentiation and integration).
The course consists of 53 brief lecture films, each having a few problems to solve thereafter. There's also a short practice quiz after each major topic. Lecture notes provided by the lecturer provide solutions to the issues as well as practice quizzes. The course is divided into five weeks, with an assessment question at the end of each week.
What you will learn
- Vectors, the dot product and cross product
- The gradient, divergence, curl, and Laplacian
- Multivariable integration, polar, cylindrical and spherical coordinates
- Line integrals, surface integrals, the gradient theorem, the divergence theorem and Stokes' theorem
Instructor: Jeffrey R. Chasnov
Coursera rate: 4.8/5.0, 1.192 ratings
Offered by: The Hong Kong University of Science and Technology
Enroll here: https://www.coursera.org/learn/vector-calculus-engineers
