ARCH333 MATHEMATICS IN ARCHITECTURE
| Course Code: | 1200333 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 4.0 |
| Department: | Architecture |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. ARZU SORGUÇ |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, it is first expected that:
Students will develop skills to acknowledge the explicit relation between architecture and mathematics.
Students will develop skills to use spatial and formal transformations in design.
Students will understand what mathematical and computational models are.
Students will develop ability for algorithmic thinking.
Students will develop skill to advance on computational designv
Course Content
It is aimed to make explicit the relation between architecture and mathematics, thus the role of mathematics is emphasized, with the new age of informatics and so called ´algorithmic thinking´ then computation in design´ questioned in the architectural design.
The concepts of ´sets´ and then ´functions-relations´ are used in throughout the course in order to establish a base for further discussions on mathematical modeling, parametric modeling and computation modeling etc in relation with algorithmic thinking and design computation.
Following this, first issues related to form geometry and structural stability/materials are re-experienced by forcing students to perceive the ´design problem´ as a whole from the very beginning and instead of designing the final product, they are expected to design the process. Isometries, similarities, linear and non linear-systems, fractals etc. are some of the mathematical tools used in this inquiry.
Finally, thinking and designing in n-dimensional space, mapping from one domain to another is studied in relation with mathematics and information technologies.
Course Learning Outcomes
By the end of the course the successful students are expected to:
Be able to define any design problem identifying the parameters, variables, forces and constraints
Be able to define the complex relations among different parameters in an algorithmic way
Be able to define multi-dimensional design processes and models
Be able to develop skills and knowledge on computational design.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Ability to establish connections between the discipline of architecture and its related areas of competence, with the cultural and social aspects of architectural production. | ✔ | |||
| 2 | Gaining, evaluating and applying the technical, aesthetic and ethical dimensions of the knowledge and values of architecture with a scientific and critical approach. | ✔ | |||
| 3 | Making analysis and synthesis of data by employing theories, methods and currents of thought that aid in the identification and solution of architectural design problems. | ✔ | |||
| 4 | Developing creative and original ideas into the stages of theoretical design, projects, application and evaluation of architectural services and realizing them independently as well as in a team. | ✔ | |||
| 5 | Being able to effectively use the traditional and digital communication technologies and visual expression tools. | ✔ | |||
| 6 | Providing leadership to achieve synthesis through a productive coordination of the scientists and professionals of different disciplines taking part in the formation of the built environment. | ✔ | |||
| 7 | Being open to lifelong education by internalizing world experiences related to architectural thought and applications and following new developments. | ✔ | |||
| 8 | Understanding the requirements of environmental, cultural and economic sustainability in both global and local scales and considering them in all professional activities. | ✔ | |||
| 9 | Defending the society's rights to shelter, within nature and city applying universal principles and resisting applications that are against professional ethics and laws while creating unique solutions and putting them into practice. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution