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
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