Publications

Books and Book Chapters
  • Ang, K.C., Mathematical Modelling for Teachers: Resources, Pedagogy and Practice, 2019, Routledge: Taylor and Francis, London.
       View video on the story behind this book

  • Ang, K.C., Mathematical Modelling in Singapore Schools: A Framework for Instruction. In Niss, M. (Ed), Mathematical Modelling - From Theory to Practice , 2015, (pp 57-72), World Scientific, Singapore.

  • Tan, L.S. and Ang, K.C., Pre-Service Secondary School Teachers’ Knowledge in Mathematical Modelling – A Case Study. In kaiser, G. and Stillman, G. (Eds), International Perspectives on the Teaching and Learning of Mathematical Modelling, 2013, Chapter 31 (pp 373-384), Springer.
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  • Ang, K.C., Real-life modelling within a traditional curriculum: Lessons from a Singapore Experience. In kaiser, G. and Stillman, G. (Eds), International Perspectives on the Teaching and Learning of Mathematical Modelling, 2013, Chapter 11 (pp 131-140), Springer.
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  • Tan, L.S. and Ang, K.C., Mathematical Modelling of Avascular Tumour Growth, 2010, Saarbrucken: Lambert Academic Publishing.

  • Ang, K.C., Numerical Mathematics with MATLAB, 2009, Pearson, Singapore.

  • Ang, K.C., Mathematical Modelling and Real Life Problem Solving. In Mathematical Problem Solving Yearbook 2009 (eds. Kaur, B., Yeap, B.H. and Kapur, M.), 2009, Chapter 9 (pp 159-182), World Scientific, Singapore.

  • Ang, K.C., Differential Equations: Models and Methods, 2006, McGraw-Hill, Singapore.
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  • Ang, K.C. and Mazumdar, J.N., Techniques and Applications of Mathematical Modelling of Three Dimensional Blood Flow through Arterial Structures. In Computational Methods in Biophysics, Biomaterials, Biotechnology and Biomedical Systems (ed. Leondes, C.T.), 2003, Vol. 3, Chapter 1, Kluwer Academic Publishers, USA.

  • Ang, K.C., Computational Methods with Maple, 2002, Prentice-Hall, Singapore.
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Journal and Conference Papers
  • Tan, L. S., and Ang, K.C., A school-based professional development programme for teachers of mathematical modelling in Singapore, Journal of Mathematics Teacher Education, 2016, Vol. 19, pp. 399-432.
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  • Soon, W. M., and Ang, K.C., Introducing Queuing Theory Through Simulations, Electronic Journal of Mathematics and Technology, 2015, Vol. 9 Issue 2, pp. 152-165.

  • Solekhudin, I, and Ang, K.C., A Laplace transform DRBEM with a predictor-corrector scheme for time-dependent infiltration from periodic channels with root-water uptake, Engineering Analysis with Boundary Elements, 2015, Vol. 50, pp. 141-147.
    Full Paper (from NIE Repository)

  • Ang, K.C., and Tan, L.S., Professional Development for Teaching in Mathematical Modeling, (plenary lecture) Proceedings of the 19th Asian Technology Conference in Mathematics, Yogyakarta, Indonesia, 2014, pp 33-42.
    Download from ATCM website

  • Soon, W. M., and Ang, K.C., Introducing queuing theory through simulations, In Proceedings of the 9th DELTA Conference on the teaching and learning of undergraduate mathematics and statistics, Sydney, Australia, 2013, pp 124-131.

  • Solekhudin, I, and Ang, K.C., A DRBEM for time-dependent infiltration from periodic irrigation channels in a homogeneous soil, Electronic Journal of Boundary Elements, 2013, Vol. 11, No. 1, pp. 1-12.
    Full Paper (from NIE Repository)

  • Solekhudin, I, and Ang, K.C., A Dual-Reciprocity Boundary Element Method for Steady Infiltration problems, Australian and New Zealand Industrial and Applied Mathematics Journal, 2013, Vol. 54, pp. 171-180.
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  • Solekhudin, I, and Ang, K.C., Suction Potential and Water Absorption from Periodic Channels in Different Types of Homogeneous Soils, Electronic Journal of Boundary Elements, 2012, Vol. 10, No. 2, pp. 42-55.
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  • Solekhudin, I, and Ang, K.C., A DRBEM with a predictor-corrector scheme for steady infiltration from periodic channels with root-water uptake, Engineering Analysis with Boundary Elements, 2012, Vol. 36, pp. 1199-1204.
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  • Ang, K.C., Mathematical Modeling as a Learning Experience in the Classroom, (invited lecture) Proceedings of the 17th Asian Technology Conference in Mathematics, Bangkok, Thailand, 2012, pp 84-92.
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  • Tan, L.S. and Ang, K.C., Pedagogical Content Knowledge in Mathematical Modelling Instruction, Proceedings of the 35th MERGA Conference, Singapore, 2012, pp. 712-719.
    Full Paper (from MERGA website)

  • Ang, K.C., A quasi-stochastic diffusion-reaction dynamic model for tumour growth, Proceedings of the 6th SEAMS-GMU Conference, Yogjakarta, Indonesia, 2011, pp. 9-18.

  • Lim-Teo, S. K., Soon, W. M., and Ang, K.C., Student Teachers' Understanding of Fundamentals in Mathematics, In Proceedings of the 8th DELTA Conference on the teaching and learning of undergraduate mathematics and statistics, Christchurch, New Zealand, 2011, pp 202-215.

  • Ang, K.C., Teaching and Learning Mathematical Modelling with Technology, (plenary lecture) Proceedings of the 15th Asian Technology Conference in Mathematics, Kuala Lumpur, Malaysia, 2010, pp 19-29.
    Download from ATCM website

  • Soon, W.M., Ang, K.C., and Teo, K.M. Using MATLAB to Implement a Complementarity-constrained Pricing Model. In Proceedings of the 15th Asian Technology Conference in Mathematics, Kuala Lumpur, Malaysia, 2010, pp. 143-152.

  • Ang, K.C., Mathematical Modelling in the Singapore Curriculum: Opportunities and Challenges, Proceedings of the Educational Interfaces between Mathematics and Industry Study Conference, Lisbon, Portugal, 2010, pp.53-61.

  • Soon, W. M., Ang, K. C., & Teo, K. M. Numerical Implementations of a Pricing Model with Complementarity Constraints. In Proceedings of the 5th Asian Mathematical Conference, Kuala Lumpur, Malaysis, 2009, pp. 36-46.

  • Ang, K.C., Analysis of a Tumour Growth Model with MATLAB, (invited paper) Proceedings of the 14th Asian Technology Conference in Mathematics, Beijing, China, 2009, pp. 36-46.
    Download from ATCM website

  • Ang, K.C. and Tan, L.S., A numerical approach to modelling tumour evolution with white noise, Australian and New Zealand Industrial and Applied Mathematics Journal, 2008, Vol 50, pp.C569-C582.
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  • Ang, K.C., Introducing the boundary element method with MATLAB, International Journal of Mathematical Education in Science and Technology, 2008, Vol. 39, No. 4, pp. 505-519.
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  • Ang, K.C., Modelling with Real data and Technology, (invited paper) Proceedings of the 12th Asian Technology Conference in Mathematics, Taipei, Taiwan, 2007, pp. 92-102.

  • Ang, K.C., A simple stochastic model for an epidemic: numerical experiments with MATLAB, The Electronic Journal of Mathematics and Technology, 2007, Vol. 1, No. 2, pp. 116-127.
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  • Ang, K.C. and Lee P.Y., The influence of Technology on the Teaching and Learning of Mathematics in Singapore, The Electronic Journal of Mathematics and Technology, 2007, Vol. 1, No. 1, pp. 33-47.
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  • Ang, K.C., Mathematical Modelling, Technology and H3 Mathematics, The Mathematics Educator, Singapore, 2006, Vol. 9, No. 2, pp. 33-47.
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  • Ang, K.C. and Neo, K.S., A real life application of a simple continuum traffic flow model, International Journal of Mathematical Education in Science and Technology, 2005, Vol. 36, No. 8, pp. 913-956.
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  • Tan, L.S. and Ang, K.C., A numerical simulation of avascular tumour growth, Australian and New Zealand Industrial and Applied Mathematics Journal, 2005, Vol 46, pp.C902-C917.
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  • Ang, K.C., A finite difference formulation for a traffic flow model, (invited paper) Proceedings of the 10th Asian Technology Conference in Mathematics, Cheong-ju, Korea, 2005, pp. xx-yy.

  • Koh, T.H., Ang, C.G., Ang, K.C., Chua, C.L., Kang, L.M., Tan, A.G., Tay-Sung, B.E. and Quek, J.J., NIE's Innovation and Enterprise in Teaching and Learning [CD-ROM], 2005, Singapore.

  • Ang, K.C., A finite difference formulation for a traffic flow model (Invited paper), In Conference Proceedings for The 10th Asian Technology Conference in Mathematics, South Korea, 2005, pp. 67-75.

  • Ang, K.C., A simple model for a SARS epidemic, Teaching Mathematics and Its Applications, 2004, Vol. 23, No. 4, pp. 181-188.
    Full Paper

  • Ang, W.T. and Ang, K.C., A dual-reciprocity boundary element solution of a generalized non-linear Schrodinger equation, Numerical Methods for Partial Differential Equations, 2004, Vol. 20, No. 6, pp. 843-854.
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  • Yang, W.C., Chu, S.C. and Ang, K.C., editors, Proceedings of the 9th Asian Technology Conference in Mathematics, 2004, Singapore.

  • Ang, W.T., Ang, K.C. and Dehghan, M., The determination of a control parameter in a two-dimensional diffusing equation using a dual-reciprocity boundary element method, International Journal of Computer Mathematics, 2003, Vol. 78, No. 1, pp. 65-74.
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  • Ang, K.C. and Tan, L.S., An avascular tumour growth model with random variation, In Conference Proceedings for The 8th Asian Technology Conference in Mathematics, Taiwan, 2003, pp. 153-161.

  • Ang, K.C., A dengue transmission model with varying vector population, In Conference Abstracts of the Fifth International Congress on Industrial and Applied Mathematics, 2003, Sydney, Australia, pp. 368.

  • Ang, K.C. and Pang, F.Y., "Modelling the Spread of Dengue in Singapore", The NIE Researcher, 2002, Vol. 2, No. 1/2, pp. 9.

  • Ang, K.C., Teaching mathematical modelling in Singapore schools, The Mathematics Educator, Singapore, 2001, Vol. 6, No. 1, pp. 62-74.
    Full Paper (from NIE Repository)

  • Yao, H., Ang K.C. and Yeo J.H., Computational Modelling of blood flow through curved stenosed arteries, Journal of Medical Engineering and Technology, 2000, Vol. 24, No. 4, pp. 163-168.
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  • Zhao, D., Ang K.C., Cheang, G., Phang, R., Tang, W.K., Web-Linkage of Course Notes of Mathematical Modules for Dynamic Exploration, In Conference Proceedings for ERA-AME-AMIC joint conference 2000, Singapore.

  • Ang, K.C. and Li, Z., Modelling the spread of dengue in Singapore. In Conference Proceedings for The 5th Asian Technology Conference in Mathematics, Chiang Mai, Thailand, 2000, pp. 148-157.

  • Ang, K.C. and Li, Z., An analysis of the model for dengue transmission with two strains. In Conference Proceedings for The 5th Asian Technology Conference in Mathematics, Chiang Mai, Thailand, 2000, pp. 96-107.

  • Ang, K.C. and Awyong P.W., The Use of Maple in First Year Undergraduate Mathematics, The Mathematics Educator, Singapore, 1999, Vol. 4, No. 1, pp. 87-96.

  • Ang, K.C. and Li Z., A deterministic model for the Spread of Dengue in Singapore. In Conference Proceedings for The International Congress on Modelling and Simulation 1999, Hamilton, New Zealand, December 1999, Vol. 2, pp. 555-560.

  • Ang, K..C., Modelling blood flow through curved arteries with asymmetric stenoses. In Conference Proceedings for the 3rd Biennial Engineering Mathematics and Applications Conference, Adelaide, Australia, July 1998, pp. 87-90.

  • Ang, K.C., Mazumdar, J.N. and Hamilton Craig, I., A Computational Model for blood flow through highly curved arteries with asymmetric stenoses, Australasian Physical & Engineering Sciences in Medicine, Australia, 1997, Vol. 20, pp. 152-163.
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  • Ang, K.C. and Mazumdar, J.N., Mathematical Modelling of three dimensional flow through an asymmetric stenosis, Mathematical and Computer Modelling , United Kingdom, 1997, Vol. 25, No. 1, pp. 19-29.
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  • Ang, K.C. and Mazumdar, J.N., Mathematical Modelling of Triple Arterial Stenoses, Australasian Physical & Engineering Sciences in Medicine, Australia, 1995, Vol. 18, pp. 88-94.

  • Ang, K.C. and Mazumdar, J.N., Modelling of blood flow through stenosed arteries using C.F.D. In Conference Proceedings for the 8th International Conference of Biomedical Engineering, Singapore, December 1994, pp. 228-230.

  • Ang, K.C. and Mazumdar, J.N., Effects of relative severity and geometrical shapes of multiply stenosed arteries on flow of blood. In Conference Proceedings for the 1994 conference on Engineering and Physical Sciences in Medicine, Perth, Australia, September 1994, pp. 43-46.

  • Ang, K.C. and Mazumdar, J.N., Effects of relative severity and geometrical shapes of multiply stenosed arteries on flow of blood. In Conference Abstracts of the World Congress on Medical Physics and Biomedical Engineering, Rio de Janeiro, Brazil, August 1994, Vol. 39a, pp. 221.

  • Mazumdar, J.N., Ang, K.C. and Soh, L.L., A Mathematical Study of Non-Newtonian blood flow through elastic arteries, Australasian Physical & Engineering Sciences in Medicine, Australia, 1991, Vol. 14, pp. 65-73.

Reports and Other Publications
  • Ang, K.C. and Pang, F.Y., "Modelling the Spread of Dengue in Singapore – A Final Report",2002 , Research Report, Singapore.

  • Yao, H., Wong, J., Ang, K. C., Sim, E., Yeo, J. H., Computational Modelling of Arterial Stenosis, Crayquest Competition 2000, Singapore.

  • Yao, H., Ang, K.C. and Yeo, J. H., Computational Modelling of Arterial Stenosis, In report presented for Crayquest 1999, Singapore.

  • Ang, K.C, A Computational Fluid Dynamic Study of Blood Flow through Stenosed Arteries, PhD Thesis, 1996, University of Adelaide, Australia.
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