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
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
,2024, 'Numerical investigation of reaction driven magneto-convective flow of Sisko fluid', Numerical Heat Transfer; Part A: Applications, http://dx.doi.org/10.1080/10407782.2024.2355513
,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
,2018, 'Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-02
,2018, 'Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-09
,2017, 'Approximate controllability of fractional control systems with time delay using the sequence method', Electronic Journal of Differential Equations, 272, pp. 1 - 11, https://ejde.math.txstate.edu/
,2017, 'A simplified approach to Gronwall's inequality on time scales with applications to new bounds for solutions to linear dynamic equations', Electronic Journal of Differential Equations, 2017, pp. 1 - 13, https://ejde.math.txstate.edu/
,