\contentsline {chapter}{\tocchapter {Unit}{}{Introduction}}{5}% 
\contentsline {section}{\tocsection {}{}{Where do we start?}}{5}% 
\contentsline {section}{\tocsection {}{}{What does it mean to write a ``complete'' proof?}}{5}% 
\contentsline {chapter}{\tocchapter {Unit}{1}{Examples of proofs}}{7}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{7}% 
\contentsline {subsection}{\tocsubsection {}{1.1}{Proof by induction}}{8}% 
\contentsline {subsection}{\tocsubsection {}{}{Induction}}{9}% 
\contentsline {subsection}{\tocsubsection {}{1.2}{Proof by translation to a geometric problem}}{9}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{10}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{12}% 
\contentsline {chapter}{\tocchapter {Unit}{2}{ Sets}}{15}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{15}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{17}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{18}% 
\contentsline {chapter}{\tocchapter {Unit}{3}{ Definitions, Quantifiers, Implications}}{21}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{21}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{22}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{24}% 
\contentsline {chapter}{\tocchapter {Unit}{4}{Bijections and Infinities}}{27}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{27}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{28}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{29}% 
\contentsline {chapter}{\tocchapter {Unit}{5}{Combinatorics and Newton's theorem}}{31}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{31}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{32}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{34}% 
\contentsline {chapter}{\tocchapter {Unit}{6}{Functions: part I}}{35}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{35}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{36}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{37}% 
\contentsline {chapter}{\tocchapter {Unit}{7}{Functions: part 2}}{39}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{39}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{40}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{41}% 
\contentsline {chapter}{\tocchapter {Unit}{8}{Equivalence relations and quotient sets}}{43}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{43}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{44}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{45}% 
\contentsline {chapter}{\tocchapter {Unit}{9}{Quotients and Operations}}{47}% 
\contentsline {section}{\tocsection {}{1}{Key Ideas}}{47}% 
\contentsline {section}{\tocsection {}{2}{Groupwork}}{48}% 
\contentsline {section}{\tocsection {}{3}{Homework}}{50}%