CSPP 512 Mathematics for Computer Science - Summer 2001

Homework 1 (assigned June 18, due June 27)

This homework covers the material in sections 1.1, 1.2, and 1.3 of the 5th edition of Discrete Mathematics (i.e., the textbook) and includes two exercises involving logarithms.

1. Do problems 3, 10, 11, 14, 18, 20, 24, 28, and 29 on pp. 7-8. (2 points each)

2. Do problems 5, 6, 12, 14, 20, 22, 23, 25, 39, 43, 49, and 54 on pp. 13-14. (2 points each)

3. Prove that p & q = q & p and p v q = q v p using truth tables. (Note: & means "and" and v means "or.") (2 points)

4. Prove that (p & q) & r = p & (q & r) and (p v q) v r = p v (q v r) using truth tables. (2 points)

5. Do problems 6, 13, 14, 18, 19, 23, 24, 28, 29, 34, 35, 37, 38, 49, and 50 on pp. 27-28. (worth 2 points each)

6. If log₁₀23 = 1.36, what does log₁₀2300 equal? (2 points)

7. If log₁₀2 = 0.301 and log₁₀3 = 0.477, find the value of log₁₀15. (2 points)

   
   

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   Gerry Brady
   Mon Jun 18 20:28:18 CDT 2001