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.

This course is part of the Mathematics for Engineers Specialization

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## About this Course

A course in single variable calculus

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Try Coursera for Business## 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

A course in single variable calculus

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business## Syllabus - What you will learn from this course

**7 hours to complete**

### Vectors

**7 hours to complete**

**5 hours to complete**

### Differentiation

**5 hours to complete**

**6 hours to complete**

### Integration and Curvilinear Coordinates

**6 hours to complete**

**4 hours to complete**

### Line and Surface Integrals

**4 hours to complete**

## Reviews

- 5 stars83.42%
- 4 stars14.44%
- 3 stars1.10%
- 2 stars0.63%
- 1 star0.39%

### TOP REVIEWS FROM VECTOR CALCULUS FOR ENGINEERS

It was great, the professor did a great job in explanation, but at the same time, he didn't explain further with examples for some topics which made it really challenging for me to understand.

Well taught, high-paced. It needs effort to understand the material but there is nothing wrong with that. Much clearer than in my first degree, which was many years ago!

Professor Chasnov is a great instructor. I strongly recommend this course (and others from his). Thank you so much for making such great quality content available for everyone no matter where.

excellent videos; good problems; unusual to get a series of high quality notes to download. I found the final section demanding and I will need to review this section.

## About the Mathematics for Engineers Specialization

## Frequently Asked Questions

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