Mth 232 Review Problems for Exam I
These are some review problems for the first midterm. They are gathered from old exams (mostly by other instructors). These questions cover the material in chapter 6, sections 1-4, and chapter 7, sections 1, 3, and 4.
1.
Mth 232
Review Problems for Exam II
These are some review problems for the second midterm. They are gathered from
old exams (mostly by other instructors). These questions cover the material in chapter
7, section 6; chapter 9, sections 1-5; and chapter 11,
Mth 232 Review Problems for Exam I
These are some review problems for the first midterm. They are gathered from old exams (mostly by other instructors). These questions cover the material in chapter 6, sections 1-4, and chapter 7, sections 1, 3, and 4.
1.
Mth 232 Quiz 4 solutions
Solutions of the basic problems from Quiz 4. Dierent forms had variations on these problems.
1. How many digits are there in the binary representation of 5,047,441?
This is log2 5047441 + 1. This may be computed on a calculator us
Mth 232 Quiz 3 solutions
Solutions of the basic problems from Quiz 3. Dierent forms had variations on these problems.
1. Show that for all real numbers x, if x > 1 then |2x2 + 3x + 6| 11|x2 | and express this
result in O-notation.
If x > 1 then each term
Mth 232 Quiz 2 solutions
Solutions of the basic problems from Quiz 2. Dierent forms had variations on these problems.
1. Counting rearrangements of QUODLIBET. This is just like the rearrangements of
PORTLAND problem on quiz 1.
2. A team of 6 is to be sele
Mth 232 Quiz 1 solutions
Solutions of the basic problems from Quiz 1. Dierent forms had variations on these problems.
1. If the largest of 59 consecutive integers is 391. What is the smallest?
Suppose the set of consecutive integers begins at n and ends a
MTH 232
Exam II
Solutions
1. (8 points) Suppose that for each n N , An is a countable subset of R, and let A = An be the intersection of all the sets An . From the given information, A is n=1 then necessarily . Circle your choice. (a) uncountable (b) coun
MTH 232
Exam I Solutions (Form A)
1. (7 points) How many integers between 19 and 1033 (inclusive) are divisible by 3 but
not by 4? Circle your choice.
(a) 253
(b) 254
(c) 338
(d) 85
(e) none of these
If Dn denotes the integers between 19 and 1033 which ar
Mth 232 Review Problems for the Final
These are some review problems for the final exam. They are gathered from old exams (mostly by other instructors). 1. You select n integers at random. What is the least value of n that will guarantee that at least 5 o
Mth 232
Review Problems for the Final
These are some review problems for the nal exam. They are gathered from old
exams (mostly by other instructors).
1. You select n integers at random. What is the least value of n that will guarantee
that 5 of the numbe
Mth 232 Review Problems for Exam II
These are some review problems for the second midterm. They are gathered from old exams (mostly by other instructors). These questions cover the material in chapter 7, section 6; chapter 9, sections 1-5; and chapter 11,