Syllabus
Book we follow (free!): "Book of Proof" by Richard Hammack
Homework
For Exam 1 (final revisions due 14 September at 11:59PM)
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 Thursday 5 September Saturday 7 September) [soln]: Section 2.2: #13, 14; Section 2.3: #1, 4; Section 2.5: #5, 6, 7; Section 2.6: #6, 11 14; Section 2.7: #2, 3; Section 2.9: #1, 2; Section 2.10: #9, 10
For Exam 2
HW4 (due WednesdayThursday 18 September) [soln]: Section 3.2: #1, 2, 4, 8; Section 3.3: #9, 11
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; Ch.4: #1, 2, 3, 4, 5, 6, 7, 8
HW7 (due Monday 7 October) [soln]: Chapter 4: #1, 3, 4, 5, 8, 9, 14
HW8 (due ThursdaySaturday 1012 October) [soln]: Ch.4: #15, 16; Ch.5: #1, 3, 4, 5
For Exam 3
HW9 (due Wednesday 23 October) [soln]: Ch 4: #21; Ch 5: #6, 18; Ch 6: #9
HW10 (due Monday 28 October) [soln]: Ch.6: #13, 14, 24; Ch.7: #2, 9; Ch.8: #1, 2
HW11 (due Monday 4 November):
HW12HW11 (due Thursday 7 November) [soln]: Ch.8: #7, 8, 11, 12, 24; Ch.9: #3, 5, 6, 7, 8, 11, 13, 14
For Final Exam
HW12 (due Wednesday 27 20 November) [soln]: Ch. 10: #1, 2, 4, 5, 11, 12, 25, 26, 38, 39
HW13 (due Monday 2 December) [soln]: Section 11.1: #1, 2, 4, 5, 12, 13, 14, 15; Section 11.2: #1, 2, 3, 10, 11; Section 11.3: #3, 4, 7, 8; Section 11.4: #3; Section 11.5: #4, 5, 6
HW14 (due Thursday 5 December) [soln]: Section 12.1: #1, 2, 5; Section 12.2: #2, 3, 4, 6, 7; Section 12.4: #2, 3; Section 12.5: #4, 5; Section 12.6: #5, 6, 7, 8
Quizzes
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 $n$.
Exams
Exam 1
Exam 2
Exam 3
