Select Publications
Books
, 2018, Partial Differential Equations YouTube Workbook with Dr Chris Tisdell, bookboon.com, https://bookboon.com/en/partial-differential-equations-ebook
, 2017, Learn Calculus 2 on Your Mobile Device: Live-streamed YouTube Classes with Dr Chris Tisdell, http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook
, 2015, Introduction to Complex Numbers YouTube Workbook, Bookboon, http://bookboon.com/en/introduction-to-complex-numbers-ebook
, 2014, Introduction to Vectors: YouTube classes with Dr Chris Tisdell, http://bookboon.com/en/introduction-to-vectors-ebook
, 2012, Engineering Mathematics: YouTube Workbook, bookboon.com, http://bookboon.com/en/engineering-mathematics-youtube-workbook-ebook
Book Chapters
, 2021, 'Online Writing Feedback: A Service and Learning Experience', in Student Support Services, Springer Nature, pp. 1 - 18, http://dx.doi.org/10.1007/978-981-13-3364-4_13-1
Journal articles
, 2025, 'A New Approach of Proinov-Type Contractions on Metric Spaces', Sahand Communications in Mathematical Analysis, 22, pp. 175 - 200, http://dx.doi.org/10.22130/scma.2025.2039605.1864
, 2025, 'Reflections on The Lancet's Commission on dementia prevention, intervention, and care', Lancet, 405, pp. 623 - 624, http://dx.doi.org/10.1016/S0140-6736(25)00146-1
, 2025, 'Numerical investigation of reaction driven magneto-convective flow of Sisko fluid', Numerical Heat Transfer Part A Applications, 86, pp. 7869 - 7882, http://dx.doi.org/10.1080/10407782.2024.2355513
, 2024, 'Help! My ruler is too short!', Parabola, 60, pp. 1 - 15, https://www.parabola.unsw.edu.au/sites/default/files/2024-12/vol60_no3_9.pdf
, 2024, 'Comments on: Effects on magnetic field in squeezing flow of a Casson fluid between parallel plates', Journal of King Saud University Science, 36, http://dx.doi.org/10.1016/j.jksus.2024.103561
, 2024, 'Green’s Function for Laminar Flow in Channels With Porous Walls in the Presence of a Transverse Magnetic Field', ASME Journal of Heat and Mass Transfer, 146, http://dx.doi.org/10.1115/1.4064689
, 2023, 'Have We Been Underestimating Modifiable Dementia Risk? An Alternative Approach for Calculating the Combined Population Attributable Fraction for Modifiable Dementia Risk Factors', American Journal of Epidemiology, 192, pp. 1763 - 1771, http://dx.doi.org/10.1093/aje/kwad138
, 2023, 'Improved perturbation solution for two-dimensional viscous flow between expanding or contracting permeable walls', Journal of Biomechanics, 155, http://dx.doi.org/10.1016/j.jbiomech.2023.111642
, 2023, 'Improved perturbation solution for viscous flow in a dilating-contracting permeable channel with velocity slip', Physics of Fluids, 35, http://dx.doi.org/10.1063/5.0159711
, 2023, 'When is the Porous, Laminar Flow Problem with Slip Condition Well Posed? And Where Does the Solution Lie?', Transport in Porous Media, 147, pp. 281 - 303, http://dx.doi.org/10.1007/s11242-023-01907-7
, 2022, 'Laminar flow in channels with porous walls: advancing the existence, uniqueness and approximation of solutions via fixed point approaches', Journal of Fixed Point Theory and Applications, 24, http://dx.doi.org/10.1007/s11784-022-00971-8
, 2022, 'Beyond the compass: Exploring geometric constructions via a circle arc template and a straightedge', STEM Education, 2, pp. 1 - 36, http://dx.doi.org/10.3934/steme.2022001
, 2021, 'Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems', Cubo, 23, pp. 441 - 455, http://dx.doi.org/10.4067/S0719-06462021000300441
, 2021, 'The many manifestations of successful partnership', International Journal for Students as Partners, 5, pp. 221 - 232, http://dx.doi.org/10.15173/ijsap.v5i2.4911
, 2021, 'Effective pedagogy of guiding undergraduate engineering students solving first‐order ordinary differential equations', Mathematics, 9, http://dx.doi.org/10.3390/math9141623
, 2021, 'Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems', Trends in Computational and Applied Mathematics, 22, pp. 221 - 240, http://dx.doi.org/10.5540/tcam.2021.022.02.00221
, 2021, 'Embedding opportunities for participation and feedback in large mathematics lectures via audience response systems', Stem Education, 1, pp. 75 - 91, http://dx.doi.org/10.3934/steme.2021006
, 2021, 'Reimagining multiplication as diagrammatic and dynamic concepts via cutting, pasting and rescaling actions', Stem Education, 1, pp. 170 - 185, http://dx.doi.org/10.3934/steme.2021013
, 2021, 'The roles that shooting methods can play in the theory of discrete boundary value problems', Journal of Difference Equations and Applications, 27, pp. 241 - 249, http://dx.doi.org/10.1080/10236198.2021.1887158
, 2021, 'Uniqueness of solutions for a coupled system of nonlinear fractional differential equations via weighted norms', Communications on Applied Nonlinear Analysis, 28, pp. 65 - 76
, 2021, 'Why do ‘fast’ multiplication algorithms work? Opportunities for understanding within younger children via geometric pedagogy', International Journal of Mathematical Education in Science and Technology, 52, pp. 527 - 549, http://dx.doi.org/10.1080/0020739X.2019.1692933
, 2020, 'Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas–Fermi-like theories', Journal of Engineering Mathematics, 124, pp. 1 - 10, http://dx.doi.org/10.1007/s10665-020-10055-6
, 2020, 'Proceedings of the 14th Engineering Mathematics and Applications Conference', ANZIAM Journal, 61, http://dx.doi.org/10.21914/anziamj.v61i0.15015
, 2020, 'EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THIRD-ORDER BOUNDARY VALUE PROBLEMS: ANALYSIS IN CLOSED AND BOUNDED SETS', DIFFERENTIAL EQUATIONS & APPLICATIONS, 12, pp. 291 - 312, http://dx.doi.org/10.7153/dea-2020-12-19
, 2020, 'A note regarding extensions of fixed point theorems involving two metrics via an analysis of iterated functions', ANZIAM Journal, 61, pp. C15 - C30, http://dx.doi.org/10.21914/anziamj.v61i0.15048
, 2020, 'Sharper existence and uniqueness results for solutions to third-order boundary value problems', Mathematical Modelling and Analysis, 25, pp. 409 - 420, http://dx.doi.org/10.3846/mma.2020.11043
, 2020, 'NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES WITH IMPULSES AND NONLOCAL CONDITIONS', Journal of Classical Analysis, 16, pp. 125 - 140, http://dx.doi.org/10.7153/jca-2020-16-13
, 2020, 'Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis', Open Mathematics, 18, pp. 1006 - 1024, http://dx.doi.org/10.1515/math-2020-0056
, 2019, 'Reflecting on the UNSW Scientia Education Academy: A case study for inspiring educational excellence', Asian Journal of the Scholarship of Teaching and Learning, 9, pp. 232 - 244, http://nus.edu.sg/cdtl/engagement/publications/ajsotl-home/asian-journal-of-the-scholarship-of-teaching-and-learning
, 2019, 'An accessible, justifiable and transferable pedagogical approach for the differential equations of simple harmonic motion', International Journal of Mathematical Education in Science and Technology, 50, pp. 950 - 959, http://dx.doi.org/10.1080/0020739X.2018.1516826
, 2019, 'An Arts-Integrated Approach to Learning Mathematics through Music: A Case Study of the Song “e is a Magic Number”', International Journal of Innovation in Science and Mathematics Education, 27, pp. 46 - 61, https://openjournals.library.sydney.edu.au/index.php/CAL/article/view/13794
, 2019, 'On Picard's iteration method to solve differential equations and a pedagogical space for otherness', International Journal of Mathematical Education in Science and Technology, 50, pp. 788 - 799, http://dx.doi.org/10.1080/0020739X.2018.1507051
, 2019, 'On mnemonic instruction and the SHIELDS acronym in the pedagogy of first-order differential equations', Teaching Mathematics and its Applications: An International Journal of the IMA, 38, pp. 74 - 84, http://dx.doi.org/10.1093/teamat/hry001
, 2019, 'An Applied e-Mentoring Model For Academic Development, Reflection And Growth', International Journal for the Scholarship of Teaching and Learning, 13, http://dx.doi.org/10.20429/ijsotl.2019.130206
, 2019, 'Tic-Tac-Toe and repeated integration by parts: alternative pedagogical perspectives to Lima's integral challenge', International Journal of Mathematical Education in Science and Technology, http://dx.doi.org/10.1080/0020739X.2019.1620969
, 2019, 'Pedogogical perspectives on the method of Wilmer III and Costa for solving second-order differential equations', International Journal of Mathematical Education in Science and Technology, 50, pp. 629 - 635, http://dx.doi.org/10.1080/0020739X.2018.1480811
, 2019, 'E-Examinations and the Student Experience Regarding Appropriateness of Assessment and Course Quality in Science and Medical Science', Journal of Educational Technology Systems, 47, pp. 460 - 478, http://dx.doi.org/10.1177/0047239518822016
, 2019, 'Schoenfeld’s problem-solving models viewed through the lens of exemplification', For the Learning of Mathematics, 39, pp. 24 - 26, https://flm-journal.org/
, 2019, 'EXISTENCE AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL CONTROL SYSTEMS WITH DAMPING IN HILBERT SPACES', Acta Mathematica Sinica, 39B, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5
, 2019, 'Critical perspectives of the ‘new’ difference equation solution method of Rivera-Figueroa and Rivera-Rebolledo', International Journal of Mathematical Education in Science and Technology, 50, pp. 160 - 163, http://dx.doi.org/10.1080/0020739X.2018.1469796
, 2019, 'Existence and controllability for nonlinear fractional control systems with damping in hilbert spaces', Acta Mathematica Scientia, 39, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5
, 2019, 'Existence of solutions to discrete and continuous second-order boundary value problems via lyapunov functions and a priori bounds', Electronic Journal of Qualitative Theory of Differential Equations, 2019, http://dx.doi.org/10.14232/ejqtde.2019.1.42
, 2019, 'Global existence theory for fractional differential equations: New advances via continuation methods for contractive maps', Analysis Germany, 39, pp. 117 - 128, http://dx.doi.org/10.1515/anly-2019-0027
, 2018, 'Pedagogical alternatives for triple integrals: moving towards more inclusive and personalized learning', International Journal of Mathematical Education in Science and Technology, 49, pp. 792 - 801, http://dx.doi.org/10.1080/0020739X.2017.1408150