FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 108 | Course Introduction and Application Information
| 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 | face to face | |||||
| 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;
|
| 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 |
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| 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 | 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 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
6
|
30
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| 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 |
ECTS / WORKLOAD TABLE
| 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 |
6
|
2
|
12
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
12
|
12
|
| Final Exam |
1
|
20
|
20
|
| Total |
120
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
|||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
X | ||||
| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
|||||
| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
|||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
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| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
|||||
| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
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| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
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| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
| 12 | To be able to speak a second foreign language 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. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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