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Applied Advanced Calculus

Chapter 1 - Vectors

Vectors in 2D and 3D
Dot Product and Cross Product
Lines and Planes in 3D

Chapter 2 - Vector Calculus

Vector Functions
Motion on a Curve
Curvature and Components of Acceleration
Partial Derivatives
Directional Derivatives
Tangent Planes and Normal Lines
Curl and Divergence
Line Integrals

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