Math 8 Homework #15

Hit the ball over the fence and
you can take your time going around the bases.
John W. Roper

Quiz

Remember that we have a quiz on Monday 2/8.

Reading

Read what we will cover in class on Monday: 11.7
Read what we will cover in class on Tuesday: 12.1
Read what we will cover in class on Wednesday: 12.2

When reading 11.7 pay special attention to the following concepts:

  • does every function have a power series?, Maclaurin series, the connection between the coefficients of the Maclaurin series and power series and the original function, Taylor series, Theorem 13 (good news!, they work...)
When reading 12.1 pay special attention to the following concepts:
  • differential equation, solution of a differential equation, infinite families of solutions, initial conditions, initial value problems, order, connections with graphs, what about guessing?
When reading 12.2 pay special attention to the following concepts:
  • diff eqs and slopes of solution curves, slope field, slope fields and solution curves, drawing slope fields, solving diff eqs and ivps graphically, existence of solutions and counting solutions.

Problems

The following problems are due by the beginning of class on Wednesday 2/10.
  • 11.7: 1, 3, 4, 5, 7, 8, 10, 12, 16, 21, 22.