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Vector Calculus Fundamentals

Track :

Mathematics

Lessons no : 35

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What will you learn in this course?
  • Master vector differentiation techniques for gradient, divergence, and curl in various applications
  • Apply vector integration methods such as line, surface, and volume integrals in real-world problems
  • Analyze vector fields to determine properties like flux, circulation, and field behavior
  • Utilize theorems like Green’s, Stokes’, and Divergence to solve complex vector calculus problems
  • Implement vector calculus concepts in physics, engineering, and computer graphics projects
  • Solve practical problems involving vector calculus in electromagnetism, fluid dynamics, and robotics
  • Visualize vector fields and their derivatives to enhance spatial understanding and problem-solving skills
  • Develop proficiency in applying vector calculus to optimize and model physical systems
  • Interpret mathematical results from vector calculus to inform engineering and scientific decision-making
  • Enhance analytical skills for advanced studies in mathematics, physics, and engineering disciplines

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Lessons | 35
Calculus 3 Vector Calculus in 3 D 1 of 35 Vector Representation in 3 D
00:03:54

Calculus 3 Vector Calculus in 3 D 1 of 35 Vector Representation in 3 D
Calculus 3 Vector Calculus in 3 D 2 of 35 Vector Between 2 Points
00:01:59

Calculus 3 Vector Calculus in 3 D 2 of 35 Vector Between 2 Points
Calculus 3 Vector Calculus in 3 D 3 of 35 What is a Unit Vector in 3 D
00:04:22

Calculus 3 Vector Calculus in 3 D 3 of 35 What is a Unit Vector in 3 D
Calculus 3 Vector Calculus in 3 D 4 of 35 What Are Parametric Equations
00:04:49

Calculus 3 Vector Calculus in 3 D 4 of 35 What Are Parametric Equations
Calculus 3 Vector Calculus in 3 D 5 of 35 Parametric Equations and Vectors
00:03:20

Calculus 3 Vector Calculus in 3 D 5 of 35 Parametric Equations and Vectors
Calculus 3 Vector Calculus in 3 D 6 of 35 Parametric Equations and Vectors Example 1
00:02:58

Calculus 3 Vector Calculus in 3 D 6 of 35 Parametric Equations and Vectors Example 1
Calculus 3 Vector Calculus in 3 D 7 of 35 Parametric Equations and Vectors Example 2
00:02:50

Calculus 3 Vector Calculus in 3 D 7 of 35 Parametric Equations and Vectors Example 2
Calculus 3 Vector Calculus in 3 D 8 of 35 How to Determine if the Lines are Parallel
00:02:49

Calculus 3 Vector Calculus in 3 D 8 of 35 How to Determine if the Lines are Parallel
Calculus 3 Vector Calculus in 3 D 9 of 35 How to Determine if the Lines Intersect
00:07:21

Calculus 3 Vector Calculus in 3 D 9 of 35 How to Determine if the Lines Intersect
Calculus 3 Vector Calculus in 3 D 10 of 35 Dot Product in 3 D
00:02:57

Calculus 3 Vector Calculus in 3 D 10 of 35 Dot Product in 3 D
Calculus 3 Vector Calculus in 3 D 11 of 35 Dot Product in 3 D Find thetha
00:04:28

Calculus 3 Vector Calculus in 3 D 11 of 35 Dot Product in 3 D Find thetha
Calculus 3 Vector Calculus in 3 D 12 of 35 What are Directional Cosines
00:06:41

Calculus 3 Vector Calculus in 3 D 12 of 35 What are Directional Cosines
Calculus 3 Vector Calculus in 3 D 13 of 35 Find the Directional Cosines
00:05:43

Calculus 3 Vector Calculus in 3 D 13 of 35 Find the Directional Cosines
Calculus 3 Vector Calculus in 3 D 14 of 35 Find the Projection of a Vector onto a Vector
00:06:35

Calculus 3 Vector Calculus in 3 D 14 of 35 Find the Projection of a Vector onto a Vector
Calculus 3 Vector Calculus in 3 D 15 of 35 Find the Component Othogonal to Vector B
00:03:24

Calculus 3 Vector Calculus in 3 D 15 of 35 Find the Component Othogonal to Vector B
Calculus 3 Vector Calculus in 3 D 16 of 35 Find the Distance Between a Point and a Line
00:07:28

Calculus 3 Vector Calculus in 3 D 16 of 35 Find the Distance Between a Point and a Line
Calculus 3 Vector Calculus in 3 D 17 of 35 Find the Distance Between a Point and a Line Ex
00:02:23

Calculus 3 Vector Calculus in 3 D 17 of 35 Find the Distance Between a Point and a Line Ex
Calculus 3 Vector Calculus in 3 D 18 of 35 What is a Cross Product
00:03:29

Calculus 3 Vector Calculus in 3 D 18 of 35 What is a Cross Product
Calculus 3 Vector Calculus in 3 D 19 of 35 How to Calculate the Cross Product of 2 Vectors
00:02:47

Calculus 3 Vector Calculus in 3 D 19 of 35 How to Calculate the Cross Product of 2 Vectors
Calculus 3 Vector Calculus in 3 D 20 of 35 Calculating the Cross Product of 2 Vectors Ex
00:02:51

Calculus 3 Vector Calculus in 3 D 20 of 35 Calculating the Cross Product of 2 Vectors Ex
Calculus 3 Vector Calculus in 3 D 21of 35 Magnitude of the Cross Product of 2 Vectors
00:05:50

Calculus 3 Vector Calculus in 3 D 21of 35 Magnitude of the Cross Product of 2 Vectors
Calculus 3 Vector Calculus in 3 D 22 of 35 Theorems of Vector Products
00:06:51

Calculus 3 Vector Calculus in 3 D 22 of 35 Theorems of Vector Products
Calculus 3 Vector Calculus in 3 D 23 of 35 A Real World Example of a Dot Product
00:03:40

Calculus 3 Vector Calculus in 3 D 23 of 35 A Real World Example of a Dot Product
Calculus 3 Vector Calculus in 3 D 24 of 35 A Real World Example of a Cross Product
00:06:42

Calculus 3 Vector Calculus in 3 D 24 of 35 A Real World Example of a Cross Product
Calculus 3 Vector Calculus in 3 D 25 of 35 Area of a Parallelogram Using the Cross Product
00:04:30

Calculus 3 Vector Calculus in 3 D 25 of 35 Area of a Parallelogram Using the Cross Product
Calculus 3 Vector Calculus in 3 D 26 of 35 Area of a Triangle Using the Cross Product
00:03:19

Calculus 3 Vector Calculus in 3 D 26 of 35 Area of a Triangle Using the Cross Product
Calculus 3 Vector Calculus in 3 D 27 of 35 Area of a Triangle Example
00:05:09

Calculus 3 Vector Calculus in 3 D 27 of 35 Area of a Triangle Example
Calculus 3 Vector Calculus in 3 D 28 of 35 Volume of a Rectangular Box
00:05:23

Calculus 3 Vector Calculus in 3 D 28 of 35 Volume of a Rectangular Box
Calculus 3 Vector Calculus in 3 D 29 of 35 Volume of a Parallelpiped
00:03:44

Calculus 3 Vector Calculus in 3 D 29 of 35 Volume of a Parallelpiped
Calculus 3 Vector Calculus in 3 D 30 of 35 Volume of a Parallelpiped Example
00:04:38

Calculus 3 Vector Calculus in 3 D 30 of 35 Volume of a Parallelpiped Example
Calculus 3 Vector Calculus in 3 D 31 of 35 Do the 3 Vectors Lie on the Same Plane
00:06:21

Calculus 3 Vector Calculus in 3 D 31 of 35 Do the 3 Vectors Lie on the Same Plane
Calculus 3 Vector Calculus in 3 D 32 of 35 Unit Normal Vector Perpendicular to Plane
00:04:53

Calculus 3 Vector Calculus in 3 D 32 of 35 Unit Normal Vector Perpendicular to Plane
Calculus 3 Vector Calculus in 3 D 33 of 35 Volume of a Tetrahedron
00:02:28

Calculus 3 Vector Calculus in 3 D 33 of 35 Volume of a Tetrahedron
Calculus 3 Vector Calculus in 3 D 34 of 35 Volume of a Tetrahedron Example
00:03:03

Calculus 3 Vector Calculus in 3 D 34 of 35 Volume of a Tetrahedron Example
Calculus 3 Vector Calculus in 3 D 35 of 35 What is Equation of a Line Perpendicular to a Plane
00:05:29

Calculus 3 Vector Calculus in 3 D 35 of 35 What is Equation of a Line Perpendicular to a Plane


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It was very useful course. I learnt the concepts well.
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It was highly informative and cleared all my doubts about the topic.
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clean and easy to use website must recomended
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