Math 145. Problem solving. Fall 2015, Fall 2018, Fall 2019.
p. 15, problem 12: a plus sign is missing in front of a1 (discovered by Venise O.)
p. 20, problem 13: should be "2" (not "1") if |i-j|=1 (thank you Anthony A.)
p. 23, problem 22: should be "diameter" instead of "radius"; clarification: the new coin must be of the same size as the previous ones (discovered by the author)
p. 27, problem 14: there is an extra "for" (thank you Katrina T.)
p. 28, problem 31: since there are two solutions, the phrase "find these integers" can be misleading. Should ask to find all possible values of such four integers
(realized by the author)
p. 44, problem 6: should be "Chapter 1." (discovered by the author)
p. 67, Theorem 14.1: should read "we find such integers x and y, we say that we wrote d..." (discovered by the author)
p. 67, Euclid's algorithm, line 4: should be "expressing" instead of "expression" (thanks Maxwell M.)
p. 81, problem 6: should be "square" instead of "rectangle." Of course, a square is a special case of a rectangle, but "6 by 6 square" sounds better (discovered by Laura M.)
p. 86, problem 5(d): should be "implication" instead of "biconditional" (thanks Anthony A.)
p. 87, problem 5, line 2: "if" should be lower case (discovered by the author)
p. 89, problem 5(d): square brackets rather than parentheses should be used for matrices, for consistency (discovered by the author)
p. 102, problem 5, Case IIB, line 2: the equation should be (-2-x)^{-2}=x, or x(x+2)^2=1. This equation has not integer solutions. (thank you Sepiddeh P.)
p. 109, problem 15: need to indicate that this solution is to part (a) (discovered by the author)
p. 115, problem 17(a): the word "explain" is misspelled (discovered by the author)
p. 133: need solution to problem 5 (discovered by the author)
p. 141, problem 19: The answer should be (0,5/4), not (5/4,0) (thanks Sepiddeh P.)
p. 144, problem 37: The coordinates of the x-intercept should be switched: (-f(a)/f'(a)+a,0) (discovered by the author)