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Vector Calculus for Engineers

Mathematics for Engineers,

This course covers both the theoretical foundations and practical applications of Vector Calculus. During the first week, students will learn about scalar and vector fields. In the second week, they will differentiate fields. The third week focuses on multidimensional integration and curvilinear coordinate systems. Line and surface integrals are covered in the fourth week, while the fifth week explores the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem, and Stokes' theorem. These theorems are essential for subjects in engineering such as Electromagnetism and Fluid Mechanics. Note that this course may also be referred to as Multivariable or Multivariate Calculus or Calculus 3 at some universities. A prerequisite for this course is two semesters of single variable calculus (differentiation and integration). The course includes 53 concise lecture videos, each followed by a few problems to solve. After each major topic, there is a short practice quiz. At the end of each week, there is an assessed quiz. Solutions to the problems and practice quizzes can be found in the instructor-provided lecture notes. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/vector-calculus-for-engineers.pdf Watch the promotional video from the link https://youtu.be/qUseabHb6Vk

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Rating 5.0★ based on 7 ratings
Length 6 weeks
Effort 5 weeks of study, 5 hours/week
Starts Jul 3 (43 weeks ago)
Cost $49
From The Hong Kong University of Science and Technology via Coursera
Instructor Jeffrey R. Chasnov
Download Videos On all desktop and mobile devices
Language English
Subjects Engineering Mathematics
Tags Physical Science And Engineering Mechanical Engineering Math And Logic Electrical Engineering

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What people are saying

practice problems with sample

Lot's of practice problems with sample solutions to work on which for a technical course like this is the only way you'll learn the material.

my thanks to professor

My thanks to Professor Chasnov for putting in the work to create this.

future work in mathematics

The course is well laid out and his PDF textbook is a great resource for the course and will be useful to the student for future work in mathematics and the sciences.

equations were challenging

The problems related to stokes theorem, divergence theorem, Maxwell's Equations were challenging.

very high-quality instruction

Very high-quality instruction and documentation from a very talented instructor.

his pdf textbook

lecturer presents

Lecturer presents the material well and the notes are a model of what MOOC course notes should be like.

well designed

Well designed and implemented.

documentation from

explained all

He well explained all the concepts.

great resource

laid out

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Rating 5.0★ based on 7 ratings
Length 6 weeks
Effort 5 weeks of study, 5 hours/week
Starts Jul 3 (43 weeks ago)
Cost $49
From The Hong Kong University of Science and Technology via Coursera
Instructor Jeffrey R. Chasnov
Download Videos On all desktop and mobile devices
Language English
Subjects Engineering Mathematics
Tags Physical Science And Engineering Mechanical Engineering Math And Logic Electrical Engineering

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