2019 Mathematical Methods in Architectural Planning and Engineering

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Academic unit or major
Undergraduate major in Architecture and Building Engineering
Osaragi Toshihiro  Tamura Tetsuro  Asawa Takashi  Oki Takuya 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Tue7-8(M114)  Fri1-2(M114)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

Course description and aims

To learn mathematical techniques in architectural design and research.

Student learning outcomes

To acquire mathematical skills contributing architectural design and research.



Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow


Course schedule/Required learning

  Course schedule Required learning
Class 1 Mathematics and physics of Heat conduction Learn differential and difference method, Taylor expansion, and Fourier's law for heat conduction analysis.
Class 2 Estimation of regional population Introduction of the flow for planning size and location of facilities. Estimation of regional population.
Class 3 Mathematics and physics of convection Learn mathematics and physics of convective heat transfer in architectural spaces.
Class 4 Estimation of the number of facility users Estimation of the number of facility users using user's choice behavior of facilities.
Class 5 Mathematics and physics of radiation and light environment Learn mathematics and physics of radiation and light environment in architectural spaces.
Class 6 Planning of facility size Learn how to plan facility size based on the estimated number of users.
Class 7 Application of heat transfer, short test Understand application of heat transfer analysis to thermal environment simulation. Answer the questions referring to handouts.
Class 8 Planning of facility location Learn how to determine the optimum location of facilities.
Class 9 Basics of land use building coverage ratio, lot area, road area ratio, floor area ratio, access cost, location requirement, bid rent curve
Class 10 Analysis of fluid flows understand analytically fluid flow phenomena and relation with architectural engineering
Class 11 Land use change revenue and expenses, supply and demand, land price factors, land market
Class 12 Land use data and models land use data, aggregated model, disaggregated model
Class 13 Wind flows and pressures Elucidate the wind characteristics on buildings and understand their physical meaning
Class 14 Wind resistant design of buildings Capture the design tool and analysis method for safety of buildings in high winds
Class 15 Short test Answer the questions referring to handouts.



Reference books, course materials, etc.


Assessment criteria and methods

Report, Quiz, etc.

Related courses

  • ARC.P301 : Architectural Planning II
  • ARC.S303 : Structural Design III
  • ARC.E201 : Environmental Engineering

Prerequisites (i.e., required knowledge, skills, courses, etc.)


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