Section 7.2, Exercises 1 - 16 and 26

Read again carefully the textbook pages assigned in class and read Section 7.4

Section 7.2, Exercises 17, 18 and 19

Section 7.3, Exercises 5 -- 9

Section 7.2, Exercises 24, 25 and 27

To practice Euler's method (using an excel spreadsheet), work on exercises 12 and 13 of section 4.1. You need to read the paragraph on Newton's Law of Cooling that appears in the textbook (just above exercise 12).

Read Section 4.2. Do exercises 1---> 5

Read Section 1.1

Exercises 1 -- 7

Exercise 15 and 16 (don't forget to read the paragraph before exercise 15, "The Measles Epidemic."

Solutions:

2. The seventh-degree and nineth-degree polynomials begin to differ visibly when x is approximately 3.5

6. a)

Let f(x)=sin(x). we need f(pi)=0, f'(pi)=-1, f''(pi)=0, f'''(pi)=1, ...

you should get

-(x-Pi)+(x-Pi)^3/3! -(x-Pi)^5/5! +(x-Pi)^7/7!

b) for cos(x) you should get

-1 +(x-pi)^2/2-(x-pi)^4/4!+(x-pi)^6/6!

Read Section 10.2 (We will do Taylor's Theorem in class), especially the section "Applications."

Do exercises 1-23,

Submit only exercises 4, 7, 10,12,15,16,17,18,23

Study again as much as you can of Section 10.2

Submit exercises 14,19, 24, 25, 27, 29

Read Section 10.4

Submit exercises 1 and 2

Reading: 10.5 up to Alternating series and radius of convergence. Important that you do it for Tuesday's class, including some exercises. (NOTE THAT IS IT IS 10.5 and NOT 10.4)

Submit the following exercises

3, 4 and 8

Section 10.5

1,2,4 (yes, 4 again. We have more knowledge now.) 5,6, 10