Multivariable Calculus

Este curso introductorio presenta vectores en dos y tres dimensiones, sus operaciones algebraicas, el producto punto y vectores ortogonales. También aborda ecuaciones paramétricas de rectas en tres dimensiones y la intersección entre una recta y un plano.

Syllabus

Introduction to Multivariable Calculus (Calc 3).
Length of a Vector in 2 Dimensions (examples).
1.1 Vector Between Two Points and Vector Length (example).
1.1 Vectors with 3 components (3 dimensions).
1.1 Length of a 3-Dimensional Vector.
1.1 Vector Addition.
1.1 Multiplying a Vector by a Scalar.
1.1 Vector Subtraction.
1.2 Algebraic Properties of Vectors.
1.3 Definition of the Dot Product.
1.3 Dot Product - Angle Between Two Vectors.
1.3 Find the Angle Between Two Vectors (example).
1.3 Orthogonal Vectors.
Vector and Parametric Equations of a Line (Line in 3 dimensions).
Finding the Equation of a Line in 3 dimensions (Example).
Finding the Intersection Point of a Line and a Plane.