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

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.

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.

Excellent course for reviewing undergraduate vector calculus, including gradient, divergence, curl and Laplacian, all the way to Stokes' Theorem and Maxwell's Equations.

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.

## About the Mathematics for Engineers Specialization

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