Syllabus

Book we follow (free!): "Book of Proof" by Richard Hammack

HW1 (due Monday 26 August) [soln]: Section 1.1: #1, 3, 4, 8, 9, 12, 13, 33, 34, 37; Section 1.2: #2, 3, 16, 17; Section 1.3: #6, 7, 10, 11, 15, 16; Section 1.4: #3, 4, 5, 6, 13, 14

HW2 (due Monday 2 September) [soln]: Section 1.5: #3 (all parts), 7, 9, 10; Section 1.6: #2, 4; Section 1.7: #4, 7, 8, 12, 13; Section 1.8: #1, 5, 6, 10, 11; Section 2.1: #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 14

HW3 (due

HW4 (due

HW5 (due Monday 23 September) [soln]: Section 3.4: #7, 8, 12, 13; Section 3.5: #1, 2, 3, 8, 11, 12, 13; Section 3.6: #3, 4, 5, 9, 12

HW6 (due Monday 30 September) [soln]: Section 3.7: #1, 6, 10, 11; Section 3.8: #1, 2, 5, 16, 18; Section 3.9: #1, 2, 6; Section 3.10: #2, 3, 4, 5;

HW7 (due Monday 7 October) [soln]: Chapter 4: #1, 3, 4, 5, 8, 9, 14

HW8 (due

HW9 (due

HW10 (due Monday 28 October): Ch.6: #13, 14, 24; Ch.7: #2, 9; Ch.8: #1, 2

HW12 (due

HW13 (due Monday 2 December):

HW14 (due

Quiz 1 (due 28 Aug at 11:59PM) [soln]: Draw a picture of $\displaystyle\bigcup_{k=0}^{\infty} [2k,2k+1]$

Quiz 2 (due 7 Sep at 11:59PM) [soln]: Use a truth table to show that the following version of DeMorgan's law holds: $\sim (P \vee Q) = (\sim P) \wedge (\sim Q)$.

Quiz 3 (due 25 Sep at 11:59PM) [soln]: Count the permutations of the string "HUNTINGTON".

Quiz 4 (due 7 Oct): Solve Chapter 4 Problem #6

Quiz 5 (due 29 Oct): Disprove the statement "If $x,y \in \mathbb{R}$, then $|x+y|=|x|+|y|$.

Quiz 6 (due 31 Oct): Disprove: "If $n \in \mathbb{Z}$ and $n^5-n$ is even, then $n$ is even."

Quiz 7 (due 11 Nov): Prove that $1^3+2^3+3^3+4^3+\ldots + n^3 = \dfrac{n^2(n+1)^2}{4}$ for every positive integer $n$.

Exam 1

Exam 2

Exam 3