#### 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.