CHAPTER 7- POLYNOMIAL APPROXIMATIONS

7.1,7.2,7.3: Taylor polynomials

7.4(E)4,7,9
(H)8,10 due 11/5

7.5-7.8 Taylor's formula with remainder, Landau's notation

7.8 (E)6,9
(H) 5,8 due 11/5

7.10 limits of "indeterminate forms"
7.11 (E) 9,25,29
(H) 10,24,28 (L'Hopital's rule NOT allowed!) due 11/5

7.12 L'Hopital's rule for 0/0
7.13 (H) 3,5,10,11 due  11/5

7.14 Extensions of L'Hopital's rule, infinite limits
7.17 (E)5,7,19
(H)6,14,22 due  11/12

EXAM 1.5: October 29,1999 (Chapters 5 and 6)

EXAM 2: November 5,1999

Sections included: Chapter 4- 4.14 and 4.15 only
Chapter 7- 7.1 to 7.13

CHAPTER  10- SEQUENCES, SERIES, IMPROPER INTEGRALS   (NEW: 11/12)

10,2, 10.3 limits of sequences
10.4 (E)8,11,13,14   (H)  2,12,18   due 11/12

10.7, 10.8 telescoping, geometric series
10.9  (H)7,13,22(b)   due 11/12

10.12,10.13,10.15: series with nonnegative terms
10.14 (E)17,19  (H) 18    due 11/19
10.16 (E) 2,8,13,14 (H) 3,7,10  due 11/19

10.17,110.18,10.19 conditional and absolute convergence
10.20  (H)6,14,16 ,38,44  (use "real x" instead of "complex z" ) due 11/19

10.23 improper integrals
10.24 (H) 8,10,13   due 11/24