## Acknowledgement of country I would like to start by acknowledging that we are on the traditional lands of the Pambalong clan of the Awabakal nation. I acknowledge and pay my respect to the Elders past, present and emerging. I would like to extend this acknowledgement and pay my respects to Aboriginal and/or Torres Strait Islander peoples here today. I recognise that First Nations sovereignty was never ceded. This continent always was and always will be Aboriginal Land. --- ## Welcome to MATH2340: Linearity & Continuity #### Linearity Solving systems of linear equations, Data compression, Computer graphics, Machine learning / AI #### Continuity Calculus done rigourously, Differential equations, Scientific laws & engineering principles --- ## What else will I learn? * Abstraction * Mathematical argument & writing --- ## How will I learn? * <span class="fragment daz-switch preload" data-fragment-index="0">R</span><span class="fragment daz-switch" data-fragment-index="1">Actively r</span><span>eading lecture notes</span> * <span class="fragment daz-switch preload" data-fragment-index="0">Attempting</span><span class="fragment daz-switch" data-fragment-index="1">Completing</span><span> Canvas quizzes</span> * <span class="fragment daz-switch preload" data-fragment-index="0">Watching</span><span class="fragment daz-switch" data-fragment-index="1">Participating in</span><span> lectures</span> * <span class="fragment daz-switch preload" data-fragment-index="0">Attending</span><span class="fragment daz-switch" data-fragment-index="1">Participating in</span><span> workshops</span> * <span class="fragment daz-switch preload" data-fragment-index="0">T</span><span class="fragment daz-switch" data-fragment-index="1">Repeatedly t</span><span>rying practice problems</span> --- ### Actively reading lecture notes * Read first for the important concepts * Then read with a pen & paper * take notes * record queries * complete any exercises * Reflect * why is it defined that way? * why do we care about that theorem? * Reread a couple of days later --- ### Completing Canvas quizzes * Unlimited attempts * Aim to ensure you are prepared, not to give you a grade * If you are unsure, go back to your notes from the reading --- ### Participating in lectures * Come to lectures in person * Be ready to *do* mathematics * Taking notes is less important: the lecture is recorded --- ### Participating in workshops * Work in groups to solve problems * Discussion between group and workshop facilitator * The whole time is spent solving problems --- ### Repeatedly trying practice problems * After workshop, write up your solutions (in group / alone) * Compare & contrast with model solutions; give yourself feedback * Try the problems again * Compare & contrast again; give yourself feedback --- ## Course organisation All information is on Canvas, including deadlines Course coordinator, lecturer (first half semester) 13:00 workshop facilitator * Dave Smith dave.smith@newcastle.edu.au Lecturer (second half semester) 12:00 workshop facilitator * Bishnu Lamichhane bishnu.lamichhane@newcastle.edu.au --- ## Assignments and assessment Discussed on Friday --- ## Mathematical argument #### Theorem Dave is employed by University of Newcastle. #### Proof Dave lectures MATH2340. Dave is employed by University of Newcastle.   □ <!-- .slide: data-auto-animate --> --- ## Mathematical argument #### Theorem Dave is employed by University of Newcastle. #### Proof Dave lectures MATH2340. Therefore, Dave is employed by University of Newcastle.   □ <!-- .slide: data-auto-animate --> --- ## Mathematical argument #### Theorem Dave is employed by University of Newcastle. #### Proof Dave lectures MATH2340. $\implies$ Dave is employed by University of Newcastle.   □ <!-- .slide: data-auto-animate --> --- ## Mathematical argument #### Theorem Dave is employed by University of Newcastle. #### Proof Dave lectures MATH2340. $\implies$ Dave is employed by University of Newcastle.   □ #### Lesson Without clear implications, there is no argument. <!-- .slide: data-auto-animate --> --- ### Direction of implications #### Correct Dave lectures MATH2340. $\implies$ Dave works at UoN. #### Incorrect Dave works at UoN. $\implies$ Dave lectures MATH2340. #### Also correct Dave works at UoN. $\impliedby$ Dave lectures MATH2340. #### Also correct $a^2+b^2=0$. $\iff$ $a=0$ and $b=0$. ---  --- These slides