cs-2233: checkin assignment 3

Spring-2023/CS-2233/Assignment-3/Solution.typ

@@ -0,0 +1,118 @@
+#let m(math) = align(center)[$#math$]
+#let pgbreakmsg = align(center, text(blue, weight: "black", size: 1.5em)[See Next Page\ ↓])
+
+#let solve(work, solution) = align(
+  center,
+)[
+  #let solution = align(center, block(
+    inset: 5pt,
+    stroke: blue + .3pt,
+    fill: rgb(0, 149, 255, 15%),
+    radius: 4pt,
+  )[#align(left)[#solution]])
+
+  #if work == [] [
+    #solution
+  ] else [
+    #block(inset: 6pt, radius: 4pt, stroke: luma(50%) + .5pt, fill: luma(90%))[
+      #align(left, text(font: "Liberation Sans", size: .85em, work))
+      #solution
+    ]
+  ]
+]
+
+#let problem-header(number, points) = [== Problem #number. #text(weight: "regular")[[#points
+    points]]]
+
+#let problem(number, points, body) = [
+  == Problem #number. #text(weight: "regular")[[#points points]]
+  #body
+]
+
+#set page(margin: (x: .4in, y: .4in))
+#set table(align: center)
+
+_*Price Hiller*_
+#v(-.8em)
+_*zfp106*_
+#v(-.8em)
+Homework Assignment 3
+#v(-.8em)
+CS 2233
+#v(-.8em)
+Section 001
+
+#align(
+  center,
+  block(
+    inset: 6pt,
+    radius: 4pt,
+    stroke: luma(50%) + .5pt,
+    fill: luma(90%),
+  )[If you are interested in viewing the source code of this document, you can do so
+    by clicking
+    #text(
+      blue,
+      link(
+        "https://git.orion-technologies.io/Price/college/src/branch/Development/Spring-2023/CS-2233/Assignment-3/Solution.typ",
+        "here",
+      ),
+    ).],
+)
+= Problems
+
+#problem(
+  1,
+  10,
+)[
+  - Complete all participation activities in zyBook sections $2.1$, $2.2$, $2.4$-$2.6$.
+  #solve[][Done]
+]
+
+#problem(
+  2,
+  10,
+)[
+  Prove that if $a$, $b$, and $c$ are odd integers, then $a + b + c$ is an odd
+  integer.
+
+  #solve[
+    An odd integer is expressed as $2k + 1$ where $k$ is some integer.
+  ][
+    $a + b + c$ can be rewritten as $(2z + 1) + (2n + 1) + (2p + 1)$. Working this
+    equation we end up with: $2z + 2n + 2p + 3$. We can then factor out $2$ giving
+    us $2(z + n + p) + 3$ and with some additional manipulation we can get $2((z + n + p) + 1) + 1$.
+    Notice the inner part ($(z + n
+    + p) + 1 $) could be re-expressed as $k$, thus we can rexpress the entire thing
+    (with a substitution) as $2k + 1$ where $k = (z + n + p + 1)$. Therefore, if $a$, $b$,
+    and $c$ are odd integers, then $a + b + c$ is an odd integer.
+  ]
+]
+#problem(
+  3,
+  30,
+)[
+  Recall that a rational number can be put in the form $p/q$ where $p$ and $q$ are
+  integers and $q
+  ≠ 0$ Prove the following for any rational number, $x$:
+
+  a.) If $x$ is rational, then $x - 5$ is rational
+
+  b.) If $x - 5$ is rational, then $x/3$ is rational
+
+  c.) If $x/3$ is rational, then $x$ is rational
+]
+
+#pgbreakmsg
+#pagebreak()
+#problem(
+  4,
+  20,
+)[
+  Consider the following statement: For all integers $m$ and $n$, if $m - n$ is
+  odd, then $m$ is odd or $n$ is odd.
+
+  a. Prove the statement using a proof by contrapositive
+
+  b. Prove the statement by using a proof by contradiction
+]

Spring-2023/CS-2233/TODO.org

@@ -1,4 +1,10 @@
-* DONE Assignment 1
+* DONE Assignment 1                                             :college:cs2233:
 DEADLINE: <2024-01-26 Fri> SCHEDULED: <2024-01-25 Thu>
 
 Complete Zybooks section ~1~ and the first homework assignment
+
+* TODO Assignment 3                                             :college:cs2233:
+DEADLINE: <2024-02-11 Sun> SCHEDULED: <2024-02-11 Sun>
+
+Complete Zybooks section ~2~ and the third homework assignment
+