Chapter 1: Vectors
1.1 Distance in Space
In this section we create the distance formula in space and apply it to spheres.
1.2 Vectors in the Plane
In this section we define vectors in two dimensions and study their algebraic and
geometric properties.
1.3 Vectors in Space
In this section we define vectors in three dimensions and study their algebraic and
geometric properties.
1.4 The Dot Product
In this section we define the dot product and we use it to find the angle between
vectors.
1.5 The Cross Product
In this section we define the cross product and we use it to create orthogonal
vectors.
Chapter 2: Vector Valued Functions
2.2 Calculus of Space Curves
In this section we define limits, derivatives and integrals of vector-valued
functions.
2.3 Differentiation Rules
In this section we will derive differentiation rules for vector-valued functions.
Chapter 3: Partial Derivatives
3.8 Lagrange Multipliers
In this section we use Lagrange multipliers to find absolute maxima and
minima.