This course covers both the basic theory and applications of Vector Calculus. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. The fourth week covers line and surface integrals, and the fifth week covers the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem and Stokes’ theorem. These theorems are needed in core engineering subjects 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

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

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 stars83.50%
- 4 stars14.35%
- 3 stars1.11%
- 2 stars0.63%
- 1 star0.39%

### TOP REVIEWS FROM VECTOR CALCULUS FOR ENGINEERS

THE LECTURER WAS SO AMAZING AND EVEN THOUGH I WASN'T IN A FACE TO FACE REAL LIFE CLASS WITH HIM, EVERYTHING WAS STILL DETAILED LIKE A REAL CLASSROOM SETTING WOULD HAVE BEEN

This course is very well organized and well explained. I am very much thankful to Prof Jeffrey R. Chasnov for his fruitful videos which help us to update our knowledge in this area.

Great course all around. Just one suggestion would be to solve at least 1 example of each type of theorem if possible as it makes problem solving much easier.

This course is very well organized and well explained. I am very much thankful to Prof Jeffrey R. Chasnov for his fruitful videos which help us to update our knowledge in this area.

## About the Mathematics for Engineers Specialization

## Frequently Asked Questions

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