Learning objectives

• Create taylor polynomials of 1-variable functions by matching derivatives
• Explore taylor series for , ,  .
• Create 1st and 2nd degree taylor polynomials of 2-variable functions
• Identify local behavior (at a point) of 2-variable functions: linear, saddle point, maximum or minimum
• Find unconstrained maximum and minimum of 2-variable functions
• Work with least squares parameter fitting

Resources

• Textbook sections 10.1, 14.7, 15.1, 15.2
• Notes on critical points

In class

• Days 1 and 3: Problems on Taylor polynomials
• Day 3: Look at online topographic maps, work with  Critical points  and linear regression