مخطط الموضوع


  • The evolution of mathematics education has led to a redefinition of its role, particularly in the realm of geometry, within the training curriculum for architecture students. This program aims to equip students with essential tools that enable them to conceptualize, represent, and compute the shapes and spaces they envision. Therefore, we present integral calculus and matrices as fundamental components of this curriculum. 

    Matrices stand as pillars in architectural analysis and design, playing a pivotal role in this discipline. This chapter delves into the intricacies of matrices, illustrating how they represent geometric transformations like scaling, rotation, and translation foundational elements in architectural modeling. Additionally, matrices serve as indispensable aids in structural analysis, facilitating comprehension of complex systems such as trusses and beams. 

    The chapter further explores matrix operations, from addition to multiplication and inversion, underscoring their practical applications in architectural computations. Moreover, it delves into their integration within computer-aided design (CAD) software, enabling architects to craft and manipulate precise architectural drawings efficiently. 

    Integrals emerge as indispensable tools in architectural engineering, particularly in the analysis of structural forces, material properties, and environmental impacts. This chapter delves into the utility of integrals, commencing with basic integrals for area and volume computations of architectural components like walls, slabs, and columns. Advancing beyond basic integrals, the chapter navigates through double and triple integrals, essential in addressing more intricate scenarios. Double integrals are instrumental in evaluating surface areas, while triple integrals prove vital in studying volumetric properties of irregular structures or analyzing fluid flow within architectural spaces. 

    Furthermore, the chapter illuminates how integral calculus intertwines with sustainability studies, aiding architects in evaluating energy consumption, heat transfer, and environmental ramifications through precise mathematical models. Ultimately, a profound grasp and adept application of integrals are pivotal for architects striving to optimize designs for functionality, aesthetics, and sustainability.

  • Fiche de contact


    • Teacher's name: Walid Remili

    • University: University Mohamed Boudiaf, M'sila, Algeria.

    • Institute: Urban Techniques Management.

    • Department: Department of Architecture.

    • Target Group: First year of Bachelor Students.

    • Specialty: Architecture

    • Subject: Mathematics

    • Coefficient: 2

    • Credit: 5

    • Course and Tutorial class

    • Volume Horiare: 1 and half hours per week/ 45 hours per semester.

    • Email: walid.remili@univ-msila.dz


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