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

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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 stars83.45%
- 4 stars14.38%
- 3 stars1.11%
- 2 stars0.63%
- 1 star0.39%

### TOP REVIEWS FROM VECTOR CALCULUS FOR ENGINEERS

Very good course with difficult problems. Very good instructor. Needs to provide a bit more geometric intuition to the sections involving vector integral calculus.

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.

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.

A superbly presented course with excellent notes and examples. I will be using a number of concepts to extend my Advanced Programme Math classes I teach. Thank you!

## About the Mathematics for Engineers Specialization

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