FACULTY OF FINE ARTS AND DESIGN

Department of Architecture

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
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;
  • will be able to solve trigonometric and inverse trigonometric functions.
  • will be able do derivatives and applications.
  • will be able to calculate exponential and logarithmic functions.
  • will be able to do application of define integrals.
  • will be able to solve the vector functions and their derivatives.
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

 



Course Category

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 Quiz 1, 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 Quiz 2, 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 Quiz 3, 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 Quiz 4, 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
1
15
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
40
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
Final Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
5
55
Weighting of End-of-Semester Activities on the Final Grade
1
45
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
4
5
20
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
0
Final Exam
1
24
24
    Total
120

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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 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. 

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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