# Vector fields

Learning objectives

• Interpret functions $f: {\bf R}^2 \longrightarrow {\bf R}^2$ as vector fields in the plane
• Use Mathematica to survey basic linear vector fields: sources, sinks, circles, spirals
• Work with flow lines (stream lines) of a vector field

Before class

• Read Hughes-Hallett sections 7.3, 17.4
• Ponder Hughes-Hallett problems: 17.3: 5, 6, 7, 13, 17; 17.4: 4, 10, 15.
• Post to Piazza
• Write solutions to problems 17.1: 58 and 17.2: 38 to turn in at the beginning of class.
• Complete HW9 on WeBWork
• Remember to bring your laptop to class