**Learning objectives**

- Work with vectors in 2 and 3-space
- Linear algebra: linear combinations of vectors
- Geometry: lengths (magnitude) and angles
- Dot product, geometrically and algebraically
- Projection of one vector on another vector

- Compute and interpret diirectional derivatives, numerically and using the gradient
- Interpret the gradient vector geometrically
- Optimize a function by performing a gradient search

**Resources**

- Textbook: 13.1-13.3; 14.4-14.5.
- Notes on the gradient

**In class**

- Day 1 Introduction to vectors
- Day 2 Problems on the directional derivative
- Day 3 Gradient following