8A*

Understanding The Concept of a Series

• write a series or a partial sum from sigma notation
• use sigma notation to describe a series
• explain the difference between convergent and divergent series
  

8B*

Understanding Series of Constants

• identify and calculate geometric series
• identify and determine convergence of alternating series
• identify and determine convergence of p-series
• use the integral test to determine convergence
• use the comparison test to determine convergence
  

8C*

Understanding Series of Functions

• identify and simplify power series
• create Taylor Polynomials
• find information about a function and its derivatives from a Taylor polynomial
• recall and identify common Maclaurin series

8D*

Understanding Accuracy of Taylor Series and Polynomials

• determine the center and radius of convergence
• estimate errors of a Taylor polynomial