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Browsing SoAS - Scholarly Publications by Issue Date

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Browsing SoAS - Scholarly Publications by Issue Date

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  • Exploring students' strategies to solve ordinary differential equations in a reformed setting. 
    Habre, Samer; SAS; Mathematics; shabre@lau.edu.lb (2015-09-04)
    The undergraduate curriculum in ordinary differential equations (ODEs) has undergone some important changes in favor of the visual and numerical aspects of the course. However, research findings of the effects of this ...
  • Students’ conceptual understanding of a function and its derivative in an experimental calculus course 
    Habre, Samer; Abboud, May; SAS; 199329050; Mathematics; shabre@lau.edu.lb (2015-09-04)
    Calculus has been witnessing fundamental changes in its curriculum, with an increased emphasis on visualization. This mode for representing mathematical concepts is gaining more strength due to the advances in computer ...
  • Visualization Enhanced by Technology in the Learning of Multivariable Calculus 
    Habre, Samer; SAS; Mathematics (2015-09-07)
    Compiles observations from a multivariable calculus class in which computers were used extensively. Results show that visualization skills can be improved and that students use technology in very innovative ways. (Author/MM
  • Mitigating the Resource Curse for Extractive Industry 
    Salamey, Imad; SAS; Political Science/Int. Affairs (2015-09-07)
    The discovery of gas and oil in the Eastern Mediterranean Basin awaits serious resolutions to the political challenges confronting the process of exploration and extraction. On one hand, the lack of maritime boundary ...
  • Democratic Transition and Sectarian Populism 
    Salamey, Imad; Tabar, Paul; SAS; Political Science/Int. Affairs; ptabar@lau.edu.lb (2015-09-07)
    Despite being considered as one of the oldest constitutional democracies in the Middle East, Lebanon has been confronted with periodical institutional crises and civil violence. A protracted transitional period towards ...
  • Prospective Mathematics Teachers’ Views on the Role of Technology in Mathematics 
    Habre, Samer; Grundmeier, Todd A.; SAS; Mathematics; shabre@lau.edu.lb (2015-09-07)
    It is important for future teachers of mathematics to distinguish between technology as course content to be taught and technology as a teaching tool. This exploratory study examines prospective teachers’ views of the ...
  • Investigating students' approval of a geometrical approach to differential equations and their solutions 
    Habre, Samer; SAS; Mathematics; shabre@lau.edu.lb (2015-09-07)
    The advancement of computer graphics in the past decade has contributed to an enormous change in the way mathematics is taught at the college level. Although Calculus has been the main benefactor of this advancement, the ...
  • The Fredholm alternative for second-order linear elliptic systems with VMO coefficients 
    Habre, Samer S.; SAS; Mathematics; shabre@lau.edu.lb (2015-09-11)
  • The convergence of an Euler approximation of an initial value problem is not always obvious 
    Habre, Samer S.; Hubbard, John H.; West, Beverly H.; SAS; 199329050; Mathematics; shabre@lau.edu.lb (2015-09-11)
  • Multiple Representations and the Understanding of Taylor Polynomials 
    Habre, Samer; SAS; Mathematics; shabre@lau.edu.lb (2015-09-11)
    The study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on ...
  • Multi-Parameter Bureau Representations 
    Habre, Samer S.; SAS; Mathematics; shabre@lau.edu.lb (2015-09-14)
    We consider the multi-parameter representation of Artin’s braid group introduced by D. D. Long and J. P. Tian, namely α : Bn → GLm(C), where m = n!n . First, we show that there exists a complex specialization of the ...
  • Borderline behavior for 2 x 2 iterative systems 
    Habre, Samer S.; McDill, Jean-Marie; SAS; Mathematics; shabre@lau.edu.lb (2015-09-14)
    The study of 2 × 2 linear iterative systems leads naturally to an analysis of the eigenvalues and eigenvectors of the corresponding system matrix. The phase portraits for such systems have been previously examined and ...
  • Spin Representations with Negative Indices 
    Habre, Samer S.; Al-Tahan, Madline; Abdulrahim, Mohammad N.; SAS; 199329050; Mathematics; shabre@lau.edu.lb (2015-09-14)
    We consider the spin representation of Artin’s braid group, which has a negative index of one and was originally given by D. D. Long and explicitly computed by J.P.Tian. In our work, we find sufficient conditions under ...
  • Enhancing Mathematical through Visualization 
    SAS; Mathematics; Habre, Samer (Information Science ReferenceInformation Science ReferenceHershey, Pa, 2015-09-14)
    String art dates back to the 19th century when it was initially invented to ease the delivery of some mathematical ideas. Since then, the art has evolved and so has its use in mathematics. In this chapter, the authors see ...
  • Geometric Conjectures in a Dynamic Geometry Software Environment 
    Habre, Samer; SAS; Mathematics; shabre@lau.edu.lb (2015-09-14)
    The use of technology is now widespread at the school as well as college levels. Instructors, however, continuously debate the usefulness of hardware/software in enhancing the learners' knowledge and their understanding ...
  • Homotopic classification of Euler-Lagrange systems 
    Habre, Samer; SAS; Mathematics; shabre@lau.edu.lb (2015-09-14)
    In this paper we examine the linear elliptic partial differential operators that appear as Euler–Lagrange systems of certain variational integrals. We give a sufficient condition for those systems to be deformable to ...
  • Central finite volume schemes on nonuniform grids and applications 
    Touma, R.; Habre, S.; Zeidan, D.; SAS; Mathematics; rony.touma@lau.edu.lb; shabre@lau.edu.lb (2015-09-14)
    We propose a new one-dimensional unstaggered central scheme on nonuniform grids for the numerical solution of homogeneous hyperbolic systems of conservation laws with applications in two-phase flows and in hydrodynamics ...
  • The Many Colors of the Arab Spring 
    Salamey, Imad; SAS; Political Science/Int. Affairs (2015-09-14)
  • Enhancing Mathematics Understanding through Visualization 
    SAS; Mathematics; Habre, Samer; shabre@lau.edu.lb (Information Science ReferenceInformation Science ReferenceHershey, Pa, 2015-09-14)
    Understanding mathematical concepts is many-folded. Traditional mathematics mostly emphasizes the algebraic/analytical aspect of a problem with minimal reference to its graphical aspect and/or numerical one. In a modern ...
  • A complete classification of 2 x 2 linear iterative systems 
    Habre, Samer S.; McDill, Jean-Marie; SAS; Mathematics; shabre@lau.edu.lb (2015-09-14)
    The study of 2 x 2 linear iterative systems is incorporated in many books on ordinary differential equations. As in the case of linear systems of differential equations, the classification of the equilibrium solution (0; ...

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