Course Objectives
Explain how each item of mathematics is used in architecture.
1. Explain the mathematical representation of various phenomena in architecture.
2. Explain the use of differential equations in architecture.
3. Explain the contents related to numerical calculations in architecture.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Fully understand and clearly explain the mathematical representation of various phenomena in architecture. | The mathematical representation of various phenomena in architecture can be explained in general. | It is not possible to explain the mathematical expression of various phenomena in architecture. |
| Achievement 2 | Gain a thorough understanding of and clearly explain the use of differential equations in architecture. | The use of differential equations in architecture can be roughly explained. | The use of differential equations in architecture cannot be explained. |
| Achievement 3 | Fully understand and clearly explain the contents related to numerical calculations in architecture. | Able to explain the contents related to numerical calculations in architecture. | Be not able to explain the content related to numerical calculations in architecture. |
Assigned Department Objectives
JABEE (c)
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JABEE (C)
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JABEE (g)
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Teaching Method
Outline:
In accordance with the textbook, we will explain how each item of mathematics is used in architecture, focusing on examples of its use.
Style:
1. The content of the class will be based on the textbook and will be guided by student presentations (Q&A) each time.
2. Understand the mathematics used in architecture, how to use it, and the characteristics of the resulting phenomena.
3. Report assignments will be given as appropriate.
Notice:
Since the main focus is on architecture and mathematical application to their own themes, students should learn voluntarily from that perspective.
Characteristics of Class / Division in Learning
Course Plan
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Theme |
Goals |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Application examples of ordinary differential equations and linear first-order ordinary differential equations. |
Be able to realize application examples of ordinary differential equations and linear first-order ordinary differential equations.
|
| 2nd |
Constant-coefficient linear second-order ordinary differential equation |
Be able to realize constant-coefficient linear second-order ordinary differential equations.
|
| 3rd |
Variable 2nd order ordinary differential equations. |
Be able to realize variable 2nd order ordinary differential equations.
|
| 4th |
Constant-coefficient linear high-order ordinary differential equations. |
Be able to realize constant-coefficient linear high-order ordinary differential equations.
|
| 5th |
System of first-order differential equations. |
Be able to realize system of first-order differential equations.
|
| 6th |
Fourier analysis and Fourier series. |
Be able to realize fourier analysis and Fourier series.
|
| 7th |
Complex Fourier series and Fourier transform. |
Be able to realize complex Fourier series and Fourier transform.
|
| 8th |
Fourier transform of time function and impulse response and convolution. |
Be able to realize fourier transform of time function and impulse response and convolution.
|
| 4th Quarter |
| 9th |
Application examples of correlation functions and spectra and Fourier transforms and correlation functions. |
Realize application examples of correlation functions and spectra and Fourier transforms and correlation functions.
|
| 10th |
Applications of the Laplace transform and its definition. |
Realize applications of the Laplace transform and its definition.
|
| 11th |
Solution by Laplace transform. |
Realize solution by Laplace transform.
|
| 12th |
Linear constant coefficients, n-order ordinary differential equations. |
Realize linear constant coefficients, n-order ordinary differential equations.
|
| 13th |
Application to partial differential equations and boundary value problems. |
Realize application to partial differential equations and boundary value problems.
|
| 14th |
Variational methods and function maxima. |
Realize variational methods and function maxima.
|
| 15th |
Euler's equations and second variations and boundary conditions. |
Realize Euler's equations and second variations and boundary conditions.
|
| 16th |
|
|
Evaluation Method and Weight (%)
| Examination | Presentation (Q&A) | Report Assignments | Behavior | Portfolio | Other | Total |
| Subtotal | 0 | 50 | 50 | 0 | 0 | 0 | 100 |
| Basic Proficiency | 0 | 10 | 10 | 0 | 0 | 0 | 20 |
| Specialized Proficiency | 0 | 20 | 20 | 0 | 0 | 0 | 40 |
| Cross Area Proficiency | 0 | 20 | 20 | 0 | 0 | 0 | 40 |