| 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 | |||||
| Course Language | English | |||||
| Course Type | Required | |||||
| Course Level | First Cycle | |||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | ||||||
| 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;
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| 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 Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 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 | 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 |
| 9 | 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 |
| 10 | 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 |
| 11 | 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 |
| 12 | Vectors, dot product and projections | ''Calculus, A complete course'' by Robert A. Adams, 9th edition, Pearson, 2017.ISBN-13: 978-0134154367 Chapter 10.2 |
| 13 | 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 |
| 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 | 6 | 30 |
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 30 |
| Final Exam | 1 | 40 |
| Total |
| Weighting of Semester Activities on the Final Grade | 7 | 60 |
| Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
| Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
| Study Hours Out of Class | 14 | 2 | 28 |
| Field Work | |||
| Quizzes / Studio Critiques | 6 | 2 | |
| Portfolio | |||
| Homework / Assignments | |||
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 1 | 12 | |
| Final Exams | 1 | 20 | |
| Total | 120 |
| # | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
| 1 | To be able to offer a professional level of architectural services. | X | ||||
| 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. | X | ||||
| 3 | To be able to understand methods to collaborate and coordinate with other disciplines in providing project delivery services.
| X | ||||
| 4 | To be able to understand, interpret, and evaluate methods, concepts, and theories in architecture emerging from both research and practice. | X | ||||
| 5 | To be able to develop environmentally and socially responsible architectural strategies at multiple scales. | X | ||||
| 6 | To be able to develop a critical understanding of historical traditions, global culture and diversity in the production of the built environment. | X | ||||
| 7 | To be able to apply theoretical and technical knowledge in construction materials, products, components, and assemblies based on their performance within building systems. | X | ||||
| 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. | X | ||||
| 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. | X | ||||
| 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. | X | ||||
| 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) | |||||
| 12 | To be able to speak a second foreign at a medium level of fluency efficiently. | |||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
