Select Publications

Books

Tisdell C, 2018, Partial Differential Equations YouTube Workbook with Dr Chris Tisdell, bookboon.com

Tisdell CC, 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

Tisdell CC, 2015, Introduction to Complex Numbers YouTube Workbook, 1, Bookboon, http://bookboon.com/en/introduction-to-complex-numbers-ebook

Tisdell CC, 2014, Introduction to Vectors: YouTube classes with Dr Chris Tisdell, http://bookboon.com/en/introduction-to-vectors-ebook

Tisdell CC, 2012, Engineering Mathematics: YouTube Workbook, 1, bookboon.com, http://bookboon.com/en/engineering-mathematics-youtube-workbook-ebook

Book Chapters

Brodie M; Tisdell C; Sachs J, 2021, 'Online Writing Feedback: A Service and Learning Experience', in Student Support Services, http://dx.doi.org/10.1007/978-981-13-3364-4_13-1

Journal articles

Almuthaybiri SS; Jonnalagadda JM; Tisdell CC, 2021, 'Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems', Trends in Computational and Applied Mathematics, vol. 22, pp. 221 - 240, http://dx.doi.org/10.5540/tcam.2021.022.02.00221

Tisdell CC, 2021, 'The roles that shooting methods can play in the theory of discrete boundary value problems', Journal of Difference Equations and Applications, vol. 27, pp. 241 - 249, http://dx.doi.org/10.1080/10236198.2021.1887158

Almuthaybiri SS; Tisdell CC, 2021, 'Uniqueness of solutions for a coupled system of nonlinear fractional differential equations via weighted norms', Communications on Applied Nonlinear Analysis, vol. 28, pp. 65 - 76

Tisdell CC, 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, vol. 52, pp. 527 - 549, http://dx.doi.org/10.1080/0020739X.2019.1692933

Almuthaybiri SS; Tisdell CC, 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, vol. 124, http://dx.doi.org/10.1007/s10665-020-10055-6

Tisdell CC; Jovanoski Z; Guo W; Bunder J, 2020, 'Proceedings of the 14th Engineering Mathematics and Applications Conference', ANZIAM Journal, vol. 61, http://dx.doi.org/10.21914/anziamj.v61i0.15015

Almuthaybiri SS; Tisdell CC, 2020, 'EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THIRD-ORDER BOUNDARY VALUE PROBLEMS: ANALYSIS IN CLOSED AND BOUNDED SETS', DIFFERENTIAL EQUATIONS & APPLICATIONS, vol. 12, pp. 291 - 312, http://dx.doi.org/10.7153/dea-2020-12-19

Stinson CP; Almuthaybiri SS; Tisdell CC, 2020, 'A note regarding extensions of fixed point theorems involving two metrics via an analysis of iterated functions', ANZIAM Journal, vol. 61, pp. C15 - C30, http://dx.doi.org/10.21914/anziamj.v61i0.15048

Almuthaybiri SS; Tisdell CC, 2020, 'Sharper existence and uniqueness results for solutions to third-order boundary value problems', Mathematical Modelling and Analysis, vol. 25, pp. 409 - 420, http://dx.doi.org/10.3846/mma.2020.11043

Almuthaybiri SS; Tisdell CC, 2020, 'Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis', Open Mathematics, vol. 18, pp. 1006 - 1024, http://dx.doi.org/10.1515/math-2020-0056

Tisdell C; Balasooriya C; Langford M; Steel A; Velan G, 2019, 'Reflecting on the UNSW Scientia Education Academy: A case study for inspiring educational excellence', Asian Journal of the Scholarship of Teaching and Learning, vol. 9, pp. 232 - 244, http://nus.edu.sg/cdtl/engagement/publications/ajsotl-home/asian-journal-of-the-scholarship-of-teaching-and-learning

Tisdell CC, 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, vol. 50, pp. 950 - 959, http://dx.doi.org/10.1080/0020739X.2018.1516826

Tisdell C, 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, vol. 27, pp. 46 - 61, https://openjournals.library.sydney.edu.au/index.php/CAL/article/view/13794

Tisdell CC, 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, vol. 50, pp. 788 - 799, http://dx.doi.org/10.1080/0020739X.2018.1507051

Tisdell C, 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, vol. 38, pp. 74 - 84, http://dx.doi.org/10.1093/teamat/hry001

Tisdell C; Shekhawat GS, 2019, 'An Applied e-Mentoring Model For Academic Development, Reflection And Growth', International Journal for the Scholarship of Teaching and Learning, vol. 13, http://dx.doi.org/10.20429/ijsotl.2019.130206

Tisdell C, 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

Tisdell CC, 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, vol. 50, pp. 629 - 635, http://dx.doi.org/10.1080/0020739X.2018.1480811

Ambikairajah A; Tisdell C, 2019, 'E-Examinations and the Student Experience Regarding Appropriateness of Assessment and Course Quality in Science and Medical Science', Journal of Educational Technology Systems, vol. 47, pp. 460 - 478, http://dx.doi.org/10.1177/0047239518822016

Tisdell C, 2019, 'Schoenfeld’s problem-solving models viewed through the lens of exemplification', For the Learning of Mathematics, vol. 39, pp. 24 - 26, https://flm-journal.org/

Li X; Liu Z; Li J; Tisdell C, 2019, 'EXISTENCE AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL CONTROL SYSTEMS WITH DAMPING IN HILBERT SPACES', Acta Mathematica Sinica, vol. 39B, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC, 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, vol. 50, pp. 160 - 163, http://dx.doi.org/10.1080/0020739X.2018.1469796

Li X; Liu Z; Li J; Tisdell C, 2019, 'Existence and controllability for nonlinear fractional control systems with damping in hilbert spaces', Acta Mathematica Scientia, vol. 39, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC; Liu Y; Liu Z, 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, vol. 2019, http://dx.doi.org/10.14232/ejqtde.2019.1.42

Almuthaybiri SS; Tisdell CC, 2019, 'Global existence theory for fractional differential equations: New advances via continuation methods for contractive maps', Analysis (Germany), http://dx.doi.org/10.1515/anly-2019-0027

Tisdell C, 2018, 'Pedagogical alternatives for triple integrals: moving towards more inclusive and personalized learning', International Journal of Mathematical Education in Science and Technology, vol. 49, pp. 792 - 801, http://dx.doi.org/10.1080/0020739X.2017.1408150

Tisdell C, 2018, 'Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus', Fractional Differential Calculus, vol. 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-02

Palani M; Tisdell C; Usachev A, 2018, 'Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition', Fractional Differential Calculus, vol. 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-09

Li X; Liu Z; Tisdell CC, 2017, 'Approximate controllability of fractional control systems with time delay using the sequence method', Electronic Journal of Differential Equations, vol. 272, pp. 1 - 11, https://ejde.math.txstate.edu/

Tisdell CC; Meagher S, 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, vol. 2017, pp. 1 - 13, https://ejde.math.txstate.edu/

Tisdell CC, 2017, 'Alternate solution to generalized Bernoulli equations via an integrating factor: an exact differential equation approach', International Journal of Mathematical Education in Science and Technology, vol. 48, pp. 913 - 918, http://dx.doi.org/10.1080/0020739X.2016.1272143

Li X; Liu Z; Tisdell CC, 2017, 'Existence and exact controllability of fractional evolution inclusions with damping', Mathematical Methods in the Applied Sciences, vol. 40, pp. 4548 - 4559, http://dx.doi.org/10.1002/mma.4325

Tisdell CC, 2017, 'Critical perspectives of pedagogical approaches to reversing the order of integration in double integrals', International Journal of Mathematical Education in Science and Technology, vol. 48, pp. 1285 - 1292, http://dx.doi.org/10.1080/0020739X.2017.1329559

Tisdell CC; Liu Z; macnamara S, 2017, 'Basic Existence and Uniqueness Results for Solutions to Systems of Nonlinear Fractional Differential Equations', Dynamics of Continuous, Discrete and Impulsive Systems - Series A: Mathematical Analysis, vol. 24, pp. 181 - 193, http://online.watsci.org/contents2017/v24n3a.html

Tisdell CC, 2017, 'Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems', International Journal of Mathematical Education in Science and Technology, vol. 48, pp. 794 - 801, http://dx.doi.org/10.1080/0020739X.2017.1285062

Tisdell CC; Sheng Q; Henderson J, 2017, 'Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods', Differential Equations and Applications, vol. 9, pp. 57 - 68, http://dx.doi.org/10.7153/dea-09-05

Tisdell CC, 2017, 'Improved pedagogy for linear differential equations by reconsidering how we measure the size of solutions', International Journal of Mathematical Education in Science and Technology, vol. 48, pp. 1087 - 1095, http://dx.doi.org/10.1080/0020739X.2017.1298856

Tisdell CC, 2017, 'A Discrete Approach to Continuous Second-Order Boundary Value Problems via Monotone Iterative Techniques', International Journal of Difference Equations, vol. 12, pp. 145 - 160, http://campus.mst.edu/ijde/contents/v12n1p8.pdf

Tisdell CC; Loch B, 2016, 'How useful are closed captions for learning mathematics via online video?', International Journal of Mathematical Education in Science and Technology, vol. 48, pp. 229 - 243, http://dx.doi.org/10.1080/0020739X.2016.1238518

Tisdell CC, 2016, 'Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions', Abstract and Applied Analysis, vol. 2016, http://dx.doi.org/10.1155/2016/3910972

Tisdell CC, 2016, 'Basic existence and a priori bound results for solutions to systems of boundary value problems for fractional differential equations', Electronic Journal of Differential Equations, vol. 2016, pp. 1 - 9, http://www.emis.ams.org/journals/EJDE/Volumes/2016/84/abstr.html

Tisdell CC, 2016, 'Existence of solutions to second-order boundary value problems without growth restrictions', Electronic Journal of Qualitative Theory of Differential Equations, vol. 2016, http://dx.doi.org/10.14232/ejqtde.2016.1.92

Tisdell CC, 2015, 'When do fractional differential equations have solutions that are bounded by the Mittag - Leffler function ?', Fractional Calculus and Applied Analysis, vol. 18, pp. 642 - 650, http://dx.doi.org/10.1515/fca-2015-0039

Tisdell CC; Holzer M, 2015, 'Analysis of the boundary value problem associated with the nonrelativistic Thomas-Fermi equation for heavy atoms in intense magnetic fields', Differential Equations and Applications, vol. 7, pp. 27 - 41, http://dx.doi.org/10.7153/dea-07-03


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