## Contact

##### Professor Emeritus, Augustana - Sciences

- hackborn@ualberta.ca

## Overview

### Research

Prof. Hackborn's research interests include **applied mathematics** (especially **fluid dynamics**), **chaos theory** (the study of the surprising patterns and apparent randomness present in some basic processes of the natural world), the **history of mechanics** (part of the history of physics and mathematics), and **projectile motion** (including **ballistics** and the somewhat dark roles both mathematics and computing science have played in the birth and development of this black art). Most recently, he has also been doing research on **social networks**, both in a practical way (via **a survey **of the connections between U Alberta professors) and, more theoretically, using **differential equations **to approximate social networks that capture some of the ways in which human communities adopt ideas and build consensus.

### Teaching

**Brief Teaching Philosophy**

The most important ingredient in learning computing science and mathematics (like music) is practice, practice, practice! So, Prof. Hackborn likes to give students lots of opportunities for practicing their course work both during class and afterwards in a variety of ways, including group activities and individual assignments. He also likes to impress upon his students the utility and beauty of mathematics and computing, and the important roles they have played in the development of the modern world, because students cannot be expected to learn a subject unless and until they see why it is worth learning (and the passion it excites in its disciples).

**Courses Taught since Fall 2003**

- AUCSC 110 Introduction to Computing Science (Fall 2003)
- AUCSC 120 Abstraction, Design and Object-Oriented Programming (Winter 2009)
- AUCSC 210 Algorithm Analysis and Data Structures (Fall 2012)
- AUCSC 315 Theory of Computing (Winter 2013, cross listed with AUMAT 355)
- AUCSC 340 Numerical Methods (Fall 2003, cross-listed with AUMAT 340 & AUPHY 340)
- AUCSC 330 Database Management Systems I (Winter 2018)
- AUCSC 430 Database Management Systems II (Fall 2004)
- AUIDS 211 Interdisciplinary Science Projects (Winter 2019)
- AUMAT 110 Elementary Calculus I (Fall 2018)
- AUMAT 116 Elementary Calculus I, Enriched (Fall 2015)
- AUMAT 112 Elementary Calculus II (Winter 2018)
- AUMAT 212 Intermediate Calculus II (Winter 2016)
- AUMAT 229 Introduction to Group Theory (Winter 2015)
- AUMAT 260 Topics in Geometry (Fall 2007)
- AUMAT 315 Complex Variables (Winter 2019)
- AUMAT 332 Mathematical Ecology and Dynamical Systems (Fall 2014)
- AUMAT 480 History of Mathematics and Physics (Fall 2015)

## Courses

### AUSCI 250 - Introduction to Computational Methods

Computational methods and software packages and libraries in the mathematical sciences with applications to differentiation and integrations, data fitting, nonlinear systems and differential equations. Prerequisites: AUCSC 111 (2021) or AUCSC 113, and AUMAT 110 or 116; or consent of the instructor. Corequisite: AUMAT 120.

## Scholarly Activities

### Research - Alberta Mathematics Dialogue (AMD) 2019

20190502 *to* 20190503

I am the principal organizer of the *Alberta Mathematics Dialogue* (AMD) 2019, to be held at the Augustana Campus on Thursday-Friday, 2-3 May 2019.

Our talented line-up of invited speakers is well-balanced. All have confirmed their attendance. They are (in alphabetical order):

- Melania Alvarez, UBC, Mathematics Education & Indigenous Outreach
- Greg Forest, U North Carolina, Mathematical Biology & Big Data
- Thomas Hillen, U Alberta, Public Lecture (on Math & Music)
- Vakhtang Putkaradze, U Alberta, Theoretical Mechanics (applied to figure skating)
- Jonathan Schaeffer, U Alberta, Banquet Speaker (on artificial intelligence)
- John Stockie, Simon Fraser University, Industrial Mathematics
- Steph van Willigenburg, UBC, Algebraic Combinatorics

We're excited about these speakers. They have all won awards of various kinds. Parallel sessions (associated with the areas of our invited speakers and other areas popular at previous AMDs) to be held at AMD 2019 include:

- Algebraic Combinatorics
- Big Data (and other areas of Comp Sci, where mathematics plays a big role)
- Industrial and Applied Mathematics
- Mathematical Biology
- Mathematics Education, Pedagogy & Outreach
- Number Theory
- Statistics (both pedagogy & research)
- K-12 Math Curriculum (and how it relates to post-secondary education)
- Undergraduate Research

We particularly encourage the participation of post-doctoral fellows, graduate students, and undergraduates. One of the mandates of AMD has always been to nurture the talents of aspiring mathematicians. Please note the last session topic above: Undergraduate Research.

AMD 2019 will also include a special panel/roundtable on jobs in mathematics. We plan to invite Alberta math/stats graduates who now work in sectors that rely heavily on mathematics (such as computer science, financial analysis, data science, etc.) to address this panel. This is another reason why young mathematicians will want to attend -- academia alone is not big enough to hold all the mathematical talent in Alberta.

The deadline for abstract submission is Friday, 5 April 2019.

## Publications

### Euler's Discovery and Resolution of D'Alembert's Paradox

**Author(s):**William W. Hackborn

**Publication:**Research in History and Philosophy of Mathematics. Proceedings of the Canadian Society for History and Philosophy of Mathematics.

**Volume:**4

**Issue:**2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

**Page Numbers:**43-57

### On motion in a resisting medium: A historical perspective

**Author(s):**William W. Hackborn

**Publication:**American Journal of Physics

**Volume:**84

**Issue:**2

**Page Numbers:**127-134

**External Link:**https://www.researchgate.net/publication/291391679_On_motion_in_a_resisting_medium_A_historical_perspective

### Pattern Formation in Reaction–Diffusion Models with Nonuniform Domain Growth

**Author(s):**Edmund J. Crampin, William W. Hackborn, Philip Maini

**Publication:**Bulletin of Mathematical Biology

**Volume:**64

**Issue:**4

**Page Numbers:**747-769

**External Link:**https://www.researchgate.net/publication/11173643_Pattern_Formation_in_Reaction-Diffusion_Models_with_Nonuniform_Domain_Growth

### Projectile Motion: Resistance Is Fertile

**Author(s):**William W. Hackborn

**Publication:**The American Mathematical Monthly

**Volume:**115

**Issue:**9

**Page Numbers:**813-819

**External Link:**https://www.researchgate.net/publication/233649871_Projectile_Motion_Resistance_Is_Fertile

### The Science of Ballistics: Mathematics Serving the Dark Side

**Author(s):**William W. Hackborn

**Publication:**Proceedings of the Canadian Society for History and Philosophy of Mathematics

**Volume:**19

**Page Numbers:**109-119