In this video lesson, GMath Calculus Donny Lee studies a concept in mechanics with the line integral and that is the line integral gives us the work done by a vector field on moving a point along the curve C.

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1. Line Integral: Proof of Green's Theorem (Part I)
2. Line Integral: Using Green's Theorem
3. Line Integral: Proof of Green's Theorem (Part II)
4. Line Integral: Green's Theorem
5. Line Integral: Physical Meaning
6. Line Integral for Piecewise-Smooth Curve
7. Line Integral Piecewise-Smooth Curve Example
8. Terms of a Curve: Initial, Terminal Point and Closed Curve
9. Line Integral: Short Example
10. Line Integral: Definition
11. Vector Calculus: Finding Unit Tangent and Normal Explicitly
12. Vector Integral Calculus: Directional Derivative (Part II)
13. Finding Directional Derivative
14. Finding the Tangent Plane
15. Lines of Force (Part I)
16. Lines of Force (Part II)
17. Introduction to Vector Fields (Part I)
18. Introduction to Vector Fields (Part II)
19. Fundamental Theorem fo Space Curves (Part I)
20. Fundamental Theorem fo Space Curves (Part II)
21. Fundamental Theorem fo Space Curves (Part III)
22. Theorem on Directional Derivative
23. Torsion (Part I)
24. Torsion (Part II)
25. Gradient Vector Field (Part I)
26. Gradient Vector Field (Part II)
27. How to Find Lines of Force (Part I)
28. How to Find Lines of Force (Part II)
29. Frenet Serret Equations
30. Directional Derivative (Part I)
31. The Circular Helix (Part I)
32. The Circular Helix (Part II)
33. Unit Binormal (Part I)
34. Unit Binormal (Part II)
35. Multiple Approach (Part I)
36. Multiple Approach (Part II)
37. Parametrize the Arc Length
38. The First Derivative
39. Functions of One-Variable (Part I)
40. Introduction
41. Acceleration Components
42. Curvature (Part II)
43. Velocity Acceleration
44. Curvature (Part I)

In this course, GMath Calculus Instructor Donny Lee gives 44 video lessons on Vector Calculus.