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;

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 Managment Skills Courses  
Transferable Skill Courses 
Week  Subjects  Required Materials 
1  Elementary Topics in Plane and 3D 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, AddisonWesley, Section 5. 
6  Derivative. Differentiation Rules, The Chain Rule, Derivatives of Trigonometric Functions  Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 2.22.5. 
7  Definite Integral. Properties of the Define Integral. Areas of Plane Regions.  Calculus,A complete course by Robert A. Adams, 8th edition, Pearson, 5.35.7. 
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 3space, 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 
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 EndofSemester 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  
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 
#  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 selfeducation.  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 nonspecialists.  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