Lectures in Vector Calculus in 2D
- 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