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
  • Notes on the gradient
  • Planning the path of drone