Can tensor calculus be learned online through video lectures? Are there any websites that offer this service?

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 Yes, tensor calculus can be learned online through video lectures. There are several reputable websites and platforms that offer free or paid courses on tensor calculus, often accompanied by video lectures, written material, and exercises. Here are some good options for learning tensor calculus online:


### 1. **YouTube**

   - Many professors and educators post free video lectures on YouTube covering tensor calculus. These can range from beginner-level introductions to more advanced topics.

   - **Search terms** like "tensor calculus lecture" or "Introduction to tensor calculus" will yield many results.


### 2. **MIT OpenCourseWare (OCW)**

   - MIT offers free access to a variety of lecture courses, including those that cover tensor calculus as part of higher-level physics and mathematics courses.

   - **Course Example**: "General Relativity" and "Classical Mechanics" (both of which involve tensor calculus).

   - Website: [MIT OpenCourseWare](https://ocw.mit.edu/index.htm)


### 3. **Coursera**

   - Coursera provides many courses in partnership with universities. Some courses on differential geometry, general relativity, and advanced mathematics will cover tensor calculus.

   - Courses may require payment, but many offer free auditing options.

   - **Example**: "Mathematics for Engineers" from the University of Michigan.

   - Website: [Coursera](https://www.coursera.org/)


### 4. **edX**

   - Similar to Coursera, edX offers online courses from universities and institutions around the world.

   - You can find some advanced courses on tensor calculus, especially in contexts such as physics or engineering.

   - Website: [edX](https://www.edx.org/)


### 5. **Khan Academy**

   - While Khan Academy does not specialize in tensor calculus per se, it offers foundational courses on multivariable calculus, linear algebra, and differential equations, which are crucial for understanding tensor calculus.

   - Website: [Khan Academy](https://www.khanacademy.org/)


### 6. **The Great Courses**

   - They offer in-depth courses in advanced mathematics and physics, though not all are free. Some courses discuss topics like relativity where tensor calculus is applied.

   - Website: [The Great Courses](https://www.thegreatcourses.com/)


### 7. **Lecture Notes and Tutorials**

   - Websites like **YouTube** or **Professors' personal sites** often provide detailed lecture notes or video lectures related to tensor calculus.


### 8. **Udemy**

   - Udemy offers various mathematics courses, including tensor calculus as part of broader topics in physics or engineering. While most courses are paid, they often run discounts.

   - Website: [Udemy](https://www.udemy.com/)


These resources should help you find both free and paid video lectures, along with supporting materials, to learn tensor calculus.

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