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Fawaz Hjouj

Fawaz Hjouj

Fawaz Hjouj
Assistant Professor of Mathematics
Department of Mathematics
+971 (0)2 607 5186
fhjouj@pi.ac.ae

Dr. Fawaz Hjouj holds BA and MSc degrees in Mathematics and completed his PhD in Mathematics at Southern Illinois University, US. He has also taken graduate courses in statistics.

Between 2004 and 2013 he worked as an assistant professor with the Mathematics Department at East Carolina University, US, where he taught mathematics to engineering students and statistics. In 2013, Dr. Hjouj joined the Petroleum Institute, UAE, which became a part of the Khalifa University of Science and Technology in 2017.

Dr. Hjouj’s research focuses on radon transformation that synthesizes numerical analysis and Fourier analysis. This includes computations on digital image processing with applications to the field of computerized tomography. Within this framework he conducts activities at two levels – the first level is original research and includes the development of new ideas. For example, working with an image under possible distortion of common geometrical transformations or recovering general linear transformations of an image. The second level introduces certain subjects from this field to undergraduate instruction and research.

Dr. Hjouj has created and published simplified introductions for undergraduate students in a range of subjects including mathematics and engineering sciences, among others. For example, it is well known that viewing a section of the body without interference from other regions have long been a goal of radiologists and engineers, and that these goals have been achieved through CT, MRI, PET, and other forms of tomography. The modules that Dr. Hjouj has developed on tomography help readers appreciate this technology and the underlying mathematics.

During his 20 years of experience teaching mathematics at different levels and within different cultures, Dr. Hjouj has been recognized through student and staff evaluations for his exceptional work, methods of teaching, and his caring attitude. Dr. Hjouj also has experience in teaching distance education courses and often uses online homework to supplement face-to-face instruction.

Courses taught:

  • MATH111 Calculus I
  • MATH161 Calculus II
  • MATH212 Calculus III
  • MATH241 Probability and Statistics
  • MATH261 Differential Equations

Teaching interests: numerical analysis; ordinary and partial differential equations; general topology; and functional analysis.

Research projects:

  • The Mathematics of Medical X-ray Imaging
  • Tomography with limited data
  • Image registration

JOURNAL PAPERS

  1. On Tomography with Unknown Orientation.  Journal of Mathematical Sciences & Computer Applications 2 (2): 125–136, 2015 doi: 10.5147/jmsca.2015.0178
  2. Linear Transformation Recognition Using Radon Transform,  Journal of Mathematical Sciences & Computer Applications 2011
  3. On SPECT, Mathematical Principles, and Historical Remarks, The UMAP Journal of Undergraduate Mathematics and Its Applications, vol.29.4, 2009.
  4. Identification of Reflected, Dilated, Translated, and Rotated Objects from their Radon Projections, with David Kammler, in IEEE Trans. Image Process. Vol.17, No.3, March 2008.
  5. The Mathematics of Medical X-ray Imaging, in UMAP/ILAP Modules: Tools for Teaching, 87–130. Bedford, Mass.: COMAP, 2006.

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