Chapter 1
Section 1.1 page 13 # 1a, 3d, 7, 9*, 13, 15, 18, 19, compute sqrt(1.00001) to 15 digits with and without using Maple
Actuarial Problem #6
Section 1.2 page 26 # 1d, 9a, 17b, prove the trig identity used in 9a
Section 1.3 page 37 # 1a, 3a
Write -101 and 101 as 8 bit binary integers.
Write 10.1 as a binary floating point number with an bit mantissa in the form 0.1 f2 f3 f4 f5 f6 f7 f8 * 2^E
Actuarial Test Problem # 6

Chapter 2
Section 2.1 page 53 # 3a, 5, 10 (a = 1 and b = 2), 11 (a = 2 and b = 3), 12, 17 (use Maple for 17)
Section 2.2 page 63 # 1, 2 (compute 8 iterations), 6 use g(x) = sqrt( (1+x)/x ), 9, 10
Section 2.3 page 75 # 5b, 7b, 21, 23*, 29 (use Maple for 29)
Section 2.4 page 86, #5, 6
Section 2.5 page 91 # 7 (note x = sqrt(1+1/x) and let p0 = 1), 9 (compute x0, x1, x2, x2A=x3, x4 x5, x5A)
Section 2.6 page 100 Use Horner's method to find P(1) and P'(1) for # 1d and do one step of the Newton's method., # 9
Acturarial Test Problem # 1, 2, 3, 4, 5

Chapter 3
Section 3.1 page 120 # 1a (use the values 0 and 0.6 for the linear polynomial), 3a (use the closest values to 8.4 and do degree 3 only), 4a (use the same order as in # 3 a), 7a, 22, 25 (use Maple for 25)
Section 3.2 page 132 # 1a (use the closest values to 8.4 and do degree 3 only), 5a, 9 (hint: first compute a difference table and then compute a divided difference table.)
Section 3.3 page 141 # 1a, 5a (use Maple for 5a, and note that the error bound is found on line 3 of page 136)
Section 3.4 page 154 #7, #11 (use Maple)
Acturarial Test Problem # 7, 8, 9, 10

Chapter 8
Section 8.3 page 506 in # 3 what nodes would you use, in # 5b what nodes would you use
Section 8.4 page 517 Similar to # 3, find the Pade' approximation for exp(x) of degree (2,1). For the Pade' approximation compute also exp(x), T3(x), and r(x) for x = 1.0.

Chapter 5
Section 5.2 page 267, 1a
Section 5.3 page 274, 1a, 2a
Section 5.4 page 284, 10a
Section 5.6 page 304, 1a (order 4 only),  4a
Section 5.7 page 310, 1a (estimate the error in 4a from Section 5.6)
Acturarial Test Problem # 12
Section 5.9 page 329, 7*

Chapter 4
Section 4.1 page 177 # 3 a, 4 a, and find the estimate for f'' at x = 1.2 for # 3 a
Section 4.2 page 186 # 1 a (use Table 4.6)
Section 4.3 page 197 # 1 c, 2 c, 3 c, 4 c
Section 4.4 page 205 Use the composite trapezoidal rule on 4.2 # 1 c with five nodes
Use the composite Simpson rule on 4.2 # 1 c with five nodes
Section 4.5 page 213 # 1 a
Section 4.6 page 221 # 1 a (use five nodes and the error estimate on line 3 of page 217)
Section 4.8 page 242 # 1 and 1 c
Acturarial Test Problem # 11, 13, 14