FACULTY OF FINE ARTS AND DESIGN
Department of Architecture| Course Name |
Mathematics for Architecture
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 108
|
Spring
|
3
|
0
|
3
|
4
|
| Prerequisites |
None
|
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| Course Language |
English
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|||||
| Course Type |
Required
|
|||||
| Course Level |
First Cycle
|
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| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| National Occupation Classification | - | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | To make the architecture students fundamentally ready for mathematics which they will use in the technical courses of upper levels. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Students will learn several mathematical and geometrical concepts including geometry, trigonometry, differentiation, applications of derivative, exponential and logarithmic functions, definite integrals, and techniques of integration, vectors and geometric properties |
| Related Sustainable Development Goals |
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|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | Elementary topics in plane and 3-D Euclidean geometry: Angles and lines, triangles, the Pythagorean theorem, areas of polygons and circles, similarity, volume. | ''Technical Mathematics with Calculus'', by Paul Calter &; Michael Calter, 6th Edition, John Wiley & Sons Publishing,2012.ISBN-13: 978-0470464724 Chapter 6.1-6.5 |
| 2 | Right triangles: Right triangle trigonometry: sine, cosine, and tangent, vectors, applications. Oblique triangles and trigonometry: General trigonometric functions, the laws of sines and cosines | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 P.7 |
| 3 | Derivative. Differentiation rules, the chain rule | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 2.3, 2.4. |
| 4 | Derivatives of trigonometric functions, higher order derivatives | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 2.5, 2.6. |
| 5 | Implicit differentiation, exponential and logarithmic function | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 2.9, 3.2. |
| 6 | Exponential and logarithmic differentiations | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 3.3 |
| 7 | Inverse trigonometric functions, hyperbolic functions | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 3.5, 3.6 |
| 8 | Midterm | |
| 9 | Definite integrals, properties of the definite integrals | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 5.4 |
| 10 | The method of substitution, areas of plane regions | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 5.6,5.7 |
| 11 | Areas of plane regions, integration by parts | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 5.7,6.1 |
| 12 | Integrals of rational functions, Inverse substitutions | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 6.2,6.3 |
| 13 | Vectors, dot product and projections | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 10.2 |
| 14 | Determinant, cross product, vector functions | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 10.3,11.1 |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 |
| Suggested Readings/Materials | ''Technical Mathematics with Calculus'', by Paul Calter &; Michael Calter, 6th Edition, John Wiley & Sons Publishing,2012.ISBN-13: 978-0470464724 |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
2
|
20
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
3
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
2
|
28
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
2
|
2
|
4
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
15
|
15
|
| Final Exam |
1
|
25
|
25
|
| Total |
120
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
To be able to offer a professional level of architectural services. |
-
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-
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-
|
-
|
-
|
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| 2 |
To be able to take on responsibility as an individual and as a team member to solve complex problems in the practice of design and construction. |
-
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-
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-
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-
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-
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| 3 |
To be able to understand methods to collaborate and coordinate with other disciplines in providing project delivery services.
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-
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-
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-
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-
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-
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| 4 |
To be able to understand, interpret, and evaluate methods, concepts, and theories in architecture emerging from both research and practice. |
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-
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-
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-
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-
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| 5 |
To be able to develop environmentally and socially responsible architectural strategies at multiple scales. |
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-
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-
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-
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| 6 |
To be able to develop a critical understanding of historical traditions, global culture and diversity in the production of the built environment. |
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| 7 |
To be able to apply theoretical and technical knowledge in construction materials, products, components, and assemblies based on their performance within building systems. |
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| 8 |
To be able to present architectural ideas and proposals in visual, written, and oral form through using contemporary computer-based information and communication technologies and media. |
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| 9 |
To be able to demonstrate a critical evaluation of acquired knowledge and skills to diagnose individual educational needs and direct self-education skills for developing solutions to architectural problems and design execution. |
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X
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-
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| 10 |
To be able to take the initiative for continuous knowledge update and education as well as demonstrate a lifelong learning approach in the field of Architecture. |
-
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-
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-
|
X
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-
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| 11 |
To be able to collect data in the areas of Architecture and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1) |
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-
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| 12 |
To be able to speak a second foreign language at a medium level of fluency efficiently. |
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| 13 |
To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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