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 fundamentallyready 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 understand trigonometric and inverse trigonometric functions
  • will be able to understand derivatives and applications
  • will be able to understand exponential and logarithmic functions
  • will be able to understand application of define integrals
  • will be able to understand 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 Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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, 6.1—6.5
2 Right Triangles: Right Triangle Trigonometry: Sine, Cosine, and Tangent, vectors, applications. Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, P.7
3 Exponential and Logarithmic Function, The Natural Logarithm and Exponentials Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 3.2, 3.3.
4 The Inverse Trigonometric Functions, Hyperbolic Functions Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 3.5, 3.6.
5 Oblique Triangles and Trigonometry: General trigonometric functions, the Laws of Sines and Cosines Calculus and Analytic Geometry by George B. Thomas, Jr., Ross L. Finney, 9th edition, Addison-Wesley, Section 5.
6 Derivative. Differentiation Rules, The Chain Rule, Derivatives of Trigonometric Functions Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 2.2--2.5.
7 Definite Integral. Properties of the Define Integral. Areas of Plane Regions. Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 5.3--5.7.
8 Integration by Parts. Integrals of Rational Functions. Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 6.1, 6.2.
9 Midterm , Review
10 Vectors in 3-space, The Dot Product and Projections, Determinants Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 10.2, 10.3.
11 The Cross Product as a Determinant, Matrices Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 10.3, 10.7.
12 Linear Equations Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 10.7.
13 Differentiating Combinations of Vectors Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 11.1.
14 Review of the Semester
15 Review of the Semester
16 Review of the Semester  
Course Notes/Textbooks The extracts above and exercises will be given.
Suggested Readings/Materials None

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
40
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
5
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

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
Field Work
Quizzes / Studio Critiques
2
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
12
Final Exams
1
20
    Total
108

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

Ability to apply theoretical and technical knowledge in architecture.

X
2

Ability to understand, interpret and evaluate architectural concepts and theories.

X
3

Ability to take on responsibility as an individual and as a team member to solve complex problems in the practice of architecture.

 

X
4

Critical evaluation of acquired knowledge and skills to diagnose individual educational needs and to direct self-education.

X
5

Ability to communicate architectural ideas and proposals for solutions to architectural problems in visual, written and oral form.

X
6

Ability to support architectural thoughts and proposals for solutions to architectural problems with qualitative and quantitative data and to communicate these with specialists and non-specialists.

X
7

Ability to use a foreign language to follow developments in architecture and to communicate with colleagues.

X
8

Ability to use digital information and communication technologies at a level that is adequate to the discipline of architecture.

X
9

Being equipped with social, scientific and ethical values in the accumulation, interpretation and/or application of architectural data.

X
10

Ability to collaborate with other disciplines that are directly or indirectly related to architecture with basic knowledge in these disciplines.

X

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

 

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