Homework Assignments

 

Important note:  "Unless you write �PRIVATE RETURN� directly below your name, your graded assignment will be returned in batch either in lecture or via a common return box in 303 Upson Hall"

Unless explicitly indicated otherwise, you must show your work and/or give reasons for all of your answers on all assignments.

Assignment 12 (due Friday 12/7)  Solutions     Grading guide
The total for this assignment was 55 and the median (not counting scores of 0) was 48.  The mean was 47, and the standard deviation was 7.2.
8.1: 16, 24  
8.2:  6, 10 
8.3:  8 (do all 3 traversals:  preorder, inorder, and postorder), 16, 30 (see the solution to 31 for hints), 32
8.4:  2, 4, 6ab, 8
For this assignment, put 8.1 and 8.2 together in one write-up. 

Assignment 11 (due Friday 11/30)  Solutions     Grading guide
The total for this assignment was 60 and the median (not counting scores of 0) was 53.  The mean was 51, and the standard deviation was 8.9. 
7.5:  12, 20, 36ad, 38  
7.6:  6ab, 18 
7.7:  6, 16 
7.8:  12, 14, 16, 20cd
For this assignment, put 7.6 and 7.7 together in one write-up for a total of 3 write-ups. 

Assignment 10 (due Friday 11/16)  Solutions     Grading guide
The total for this assignment was 30 and the median (not counting scores of 0) was 27.  The mean was 27, and the standard deviation was 2.8. 
7.2:  6, 20, 44  
7.3:  30, 44, 68 (For 68, express your answers in big-O notation in terms of |V| and |E| -
if it helps, you may use the fact that |E| is at most C(|V|, 2)). 
For this assignment turn in 2 write-ups - one for each section.

Assignment 9 (due Friday 11/9)  Solutions      Grading guide
The total for this assignment was 65 and the median (not counting scores of 0) was 57.  The mean was 54, and the standard deviation was 8.5. 
6.1:  2, 14, 20, 28abe  
6.3:   4, 10
6.4:  10, 26ad 
6.5:  10, 16, 24, 32 (Hint:  For 32, represent a bracelet as a string of 3 symbols, where each symbol is one of R, W, B.  Then determine how the operations on the bracelet translate into operations on the strings, and use this to determine the equivalence relations.) 
For this assignment, put 6.3 and 6.4 together in one write-up for a total of 3 write-ups. 

Assignment 8 (due Friday 11/2)  Solutions      Grading guide 
The total for this assignment was 60 and the median (not counting scores of 0) was 50.  The mean was 49, and the standard deviation was 7.0. 
4.6:  10bde, 28, 36, 40
5.1:  8, 24, 44, 46 
5.5:  6, 24   
5.6:  6, 26
For this assignment, put 5.5 and 5.6 together in one write-up for a total of three write-ups.

Assignment 7 (due Friday 10/26)  Solutions      Grading guide 
The total for this assignment was 60 and the median (not counting scores of 0) was 54.  The mean was 51, and the standard deviation was 10.3. 
4.4:  14, 18, 26ab, 34 
4.5, part I:  8, 18, 22, 26bd
4.5, part II: 38, 40, 44, 48a (for 48a, you may use the result of 47 without proving it).
For this assignment, make 3 write-ups: one for 4.4 and one each for the two parts of 4.5.  

Assignment 6 (due Friday 10/19)  Solutions      Grading guide 
The total for this assignment was 36 and the median (not counting scores of 0) was 31.  The mean was 29, and the standard deviation was 6.3. 
4.1:  22, 38 
4.2:  10, 26 
4.3:  16, 18, 28, 40 
For this assignment, make 2 write-ups: one for sections 4.1 and 4.2 together, and a second for section 4.3.

Assignment 5 (due Friday 10/5)  NEW: This homework has been modified and postponed to Friday 10/12.    Solutions      Grading guide 
The total for this assignment was 70 and the median (not counting scores of 0) was 61.5.  The mean was 58, and the standard deviation was 10.4. 
3.1:  8ace, 16, 30, 32 
3.2: 4, 28, 32, 40  (See the information sheet on induction for induction guidelines.)
3.3: 4, 18, 22, 40 (Hint:  See the definition of the function A before problem 36, and use the results of problems 37 and 38 to help in number 40 - you do not have to prove 37 and 38).  
3.4: 6, 22 (include this with the write-up for 3.3).  
For section 3.3  number 4 you may give answers without showing work - for every other problem you must clearly show your work or give reasons or proof in order to get full credit.  As usual, one write-up per section. 

Assignment 4 (due Friday 9/28)   Solutions      Grading guide
The total for this assignment was 60 and the median (not counting scores of 0) was 54.  The mean was 52, and the standard deviation was 8.2. 
2.4:  2d, 14, 24, 26 
2.5: 2eg, 10, 22, 36
2.6: 4a, 14, 20, and, starting with the two matrices in number 18, take each entry mod 2 to get two 0-1 matrices (call them A and B), then find the Boolean product of A and B. 
As usual, make 3 write-ups - one for each section.   Also, be sure to write legibly, particularly your NAME, on each write-up.    

Assignment 3 (due Friday 9/21)   Solutions      Grading guide
The total for this assignment was 65 and the median (not counting scores of 0) was 56.  The mean was 54, and the standard deviation was 8.9. 
1.8:  4, 14, 22, 38
2.1:  26
2.2:  4, 14, 20
2.3:  12 (you must explain a reason for your answer, not just show output and count), 16, 40, 48
Section 1.8 will be one write-up, 2.1 and 2.2 together will be a second, and 2.3 will be a third.

Assignment 2 (due Friday 9/14)   Solutions      Grading guide
The total for this assignment was 60 and the median (not counting scores of 0) was 44.  The mean was 45, and the standard deviation was 9.0. 
1.4:  10, 14 (If your answer is "yes", explain why; if your answer is "no", give an example of sets A, B where A is not equal to B but P(A) = P(B).)
1.5:  8, 10
1.6: 4, 20, 26, 27 (for credit in 27, you must give an example in which S and T are not disjoint - i.e., you may not use the answer in the back of the book).
1.7: 6fgh, 10bdfh, 20, 32
Again, you must turn in 3 separate write-ups:  one for sections 1.4 and 1.5, another for section 1.6, and a third for section 1.7.  Also, if you want private return, you must write PRIVATE RETURN clearly on your paper (see note above). 

Assignment 1 (due Friday 9/7)   Solutions     Grading guide
The total for this assignment was 60 and the median (not counting scores of 0) was 52.  The mean was 50, and the standard deviation was 7.8. 
1.1:  12, 14, 28, 42a 
1.2:  18, 8ab, 24, 34  
1.3:  8, 14a-j, 22a-h, 34
For ease and consistency in grading, you must turn in 3 separate write-ups: one write-up for the problems of section 1.1, another for section 1.2, and a third for section 1.3.  There will be three separate boxes for homework collection, so each write-up must be complete in itself and show your name clearly.


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