| Course Name | Mathematics for Architecture |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| MATH 108 | Fall/Spring | 3 | 0 | 3 | 4 |
| Prerequisites | None | |||||
| Course Language | English | |||||
| Course Type | Service Course | |||||
| 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 | |
| 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 critically interpret theories, concepts, methods, instruments and ideas that form the basis of Public Relations and Advertising field. | |||||
| 2 | To be able to collect and use necessary data to produce content in the field of Public Relations and Advertising with scientific methods. | |||||
| 3 | To be able to use theoretical knowledge gained in the field of Public Relations and Advertising in practice. | |||||
| 4 | To be able to use analytical thinking skills in the field of Public Relations and Advertising. | |||||
| 5 | To be able to convey creative ideas and solution suggestions supported by scientific data in written and oral form to stakeholders. | |||||
| 6 | To be able to take responsibility as individual and group members to solve problems encountered in the practice of Public Relations and Advertising field. | |||||
| 7 | To be able to develop solutions that favor public good and raise awareness by having knowledge about regional, national and global issues and problems. | |||||
| 8 | To be able to relate the basic knowledge of other disciplines supporting the field of Public Relations and Advertising with his/her own field of expertise. | |||||
| 9 | To be able to use the knowledge, skills and competencies acquired by following regulations, innovations, changes, current developments, and occupational health and safety practices closely in the field of Public Relations and Advertising; in a lifelong manner and for individual and social purposes. | |||||
| 10 | To be able to collect, interpret and share data by considering social, scientific and professional ethical values in the field of Public Relations and Advertising. | |||||
| 11 | To be able to collect data in the areas of Public Relations and Advertising 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
