MA 315, Fall 1998

Page 15: In Exercise 17b, the final sentence should read, "The bucket originally has a mass of 10 units but loses sand at the constant rate of 1/2 unit per second."

Page 16: There are two mistakes in the statement of Exercise 22a. The constant 32 should be 1/165 and the correct expression for a is

a = -1(1/165) (4000)2/(M + 4000)2

where 4000 represents the radius of the earth in miles.

Alternatively, a = -32(R)2/(M+R)2 where R is the earth's radius in feet.

Page 27: (18) should be bx - ny + s = 0.

Page 38: Figure 2.11: The labels for L and L' are permuted.

Page 47: In Exercise 9(e), the equation Am1 + Bm2 = ayo should be

Cm1 + Dm2 = ayo.

Page 48: Line 2: x should be xo, y should be yo

Page 48: In the first line of Exercise 11, the term "+ (3/2)" should be "-(3/2)"

Page 62: 5 lines from the bottom. Sentence should read: "For simplicity, suppose that the dates chosen are equally spaced so that t2 - t1 = t1 - to.

Page 77: In Exercise 3, "propotional" should be "proportional"

Page 77: In Exercise 8, should have "the population doubles every log 2 years"

Page 77: In Table for Exercise 9 "(per 1000)" should be "(per 100)"

Page 79: In Exercise 27, "inhibits" should be "inhabits"

Page 79: Line 30: "phenomena" should be "phenomenon"

Page 91: Line 14: "x(t) = sin t, y(t) = cos t"should be "x(t) = cos t, y(t) = sin t"

Page 96: Line 2: Gk2 should be Ck2.

Page 103: Last line (1/b - a ) should be 1/(b - a)

Page 104: Line 12 (third displayed equation): xm e-nx should be xne-mx.

Page 114: In Exercise 22, "v' = (am/b)u" should be "v' = -(an/b)u"

Page 115: Exercise 23c, first "?" should be "."

Page 115: Exercise 29: the comma after the last equation should be a period.

Page 184: line 11" "electrons" should be "elections"

Page 194: In references "Paatanaik" should be "Pattanaik"

Page 200: In the definition of a "connected" relation, it should be added that x and y are distinct elements.

Page 210: Exercise 8: the asymmetry relation should be "xPy imples yx"

Page 210: Exercise 13: the reference should be to Exercise 11, not Exercise 17.

Page 258: in line 14, the factor P(N-1) on the right hand side of the equation should be P(N-1)(t).

Page 266: In Exercise 5(a), "deffinition" should be "definition."

Page 266: In Exercise 9, Pr(B) should be .7 (instead of .2)

Page 267: Exercise 15 has parenthetical remark which should read "Note that 'most' may be defined in several different ways."

Page 268: Exercise 24: should be 0 (zero).

Page 283: Equation (13): Denominators of all entries in P3 should be 216

Page 308: Exercise 20 should read "Eq. (14)" instead of "Eq. (16)"

Page 334: String of equalities at bottom of Page: "Xn" should be "xn" and the last Un should be Cn.

Page 338: Line 13 "Theorem 2" should be "Theorem 3"

Page 343, Exercise 3: vector superscript 0 not p.

Page 343, Exercise 4: P not p.

Page 371: Equation (67),line 4: There should be a 2 after the leading +.

Page 416: In the Solution, the second component of X should be "5" instead of "4". The next line should read, "The farmer should feed the cow 3 units of grain and 5 units of hay."

Page 429: Line 13: The division symbol should be a +.

Page 430: Third printed line: "the reverse of A" should be "the inverse of A"

Page 434: Example 1, line 2: x2 + y2 should be x2 + y4.

Page 435: Definition of continuity of function should have absolute value signs about expression f(P) - f(Po).

Page 443: In left hand side of equation 17, there should be an integration sign before p(x).

Page 453: The answers to Exercise 11 of Chapter 2 are based on the incorrect value of +3/2. For the correct value -3/2, the answers are A = (3xo + 4yo + 11)/7 and B = (xo - yo + (1/6))/7.

Page 456: Answer to Exercise 4 of Chapter 9 should be "Pr(tails) = "

Page 456: Answer to Exercise 8 of Chapter 9 should be ".8"

Page 456: Answer to Exercise 20 of Chapter 9 should be ""

Page 456: For Exercise 30 of Chapter 9, expected value is -7/99 dollars.

Page 459: Answers to Appendix II, line 2: These are the answers to Exercise 6, not Exercise 2.

Page 460, Answers to Appendix IV, 1a: should read fx(x,y) = cos x cos y.

Page 460: Answers to Appendix IV, Exercise 9: (3x2 + ) should be [x3 - ]

Revised, March 5, 1998