Calculus - Vector Calculus (English)

   Saturday, November 21, 2020   

Starting a new Lecture Notes Series on Calculus - Vector Calculus 

Youtube Lecture Playlist Credits 

Channel Name: Michel van Biezen

Faculty Name: Michel van Biezen Sir

So Let Us Start to This Journey of Learning
Calculus - Vector Calculus
By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: Vector Notation

Lecture 2: Vector and the Circle

Lecture 3: Scalar Multiplication

Lecture 4: What is a Unit Vector?

Lecture 5: Vectors and the Unit Circle

Lecture 6: Addition of Vectors Garphically

Lecture 7: Subtracting Vectors

Lecture 8: Adding Vectors (Components are Known)

Lecture 9: Adding Vectors (Magnitude and Direction are Known)

Lecture 10: Adding Vectors (Magnitude and Direction are Known)

Lecture 11: Plane Flying with a Cross-Wind

Lecture 12: What is the Dot Product? (Scalar Product)

Lecture 13: Dot Product (Not Along the x-Axis)

Lecture 14: Dot Product (A Second Method)

Lecture 15: Use Dot Product to find Angle Between 2 Vectors

Lecture 16: Use Dot Product to find Angle Between 2 Vectors: Ex.

Lecture 17: What is the Position Vector?

Lecture 18: Position Vector Defined by Parametric Eqns.

Lecture 19: Position Vector Example

Lecture 20: The Derivative of a Position Vector

Lecture 21: The Derivative of a Position Vector: Ex.

Lecture 22: The 2nd Derivative of a Position Vector

Lecture 23: What is the Unit Tangent Vector?

Lecture 24: What is the Unit Normal Vector?

Lecture 25: The Unit Normal Vector: Another Look

Lecture 26: The Unit Normal Vector: A 3rd Look

Lecture 27: Finding the Tangent & Normal Unit Vectors

Lecture 28: The Circle and Finding Arc Length

Lecture 29: Motion Along a Circle

Lecture 30: Integration of a Position Vector

Lecture 31: Finding the Unit Tangent Vector

Lecture 32: Finding the Unit Normal Vector

Lecture 33: Parametric Equation in Terms of s

Lecture 34: What is the Curvature of a Curve?

Lecture 35: What is the Sign of Curvature?

Lecture 36: Equations of Curvature

Lecture 37: Curvature of Circle with Radius=2 Ex. 1

Lecture 38: Curvature of Circle with Radius=2 Ex. 2

Lecture 39: Curvature of Circle with Radius=2 Ex. 3