ler totalmente Vector Calculus for Engineers (Mathematics for Engineers)

These are my lecture notes for my online Coursera course, Vector Calculus for Engineers. I have divided these notes into chapters called Lectures, with each Lecture corresponding to a video on Coursera.

There are problems at the end of each lecture chapter and I have tried to choose problems that exemplify the main idea of the lecture. Students taking a formal university course in Vector Calculus (sometimes called Multivariable Calculus or Calc 3) will usually be assigned many more additional problems, but here I follow the philosophy that less is more. I give enough problems for students to solidify their understanding of the material, but not so many problems that students feel overwhelmed and drop out. I do encourage students to attempt the given problems, but if they get stuck, full solutions can be found in the Appendix.

There are also additional problems at the end of coherent sections that are given as practice quizzes on the Coursera platform. Again, students should attempt these quizzes on the platform, but if a student has trouble obtaining a correct answer, full solutions are also found in the Appendix.

Students who take this course are expected to already know single-variable differential and integral calculus to the level of a first-year college calculus course. Students should also be familiar with matrices, and be able to compute a three-by-three determinant.

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