COURSE UNIT TITLE

: MATHEMATICS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Architecture

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYÇA TOKUÇ

Offered to

Architecture

Course Objective

The aim of this course is to introduce the definitions, the theorems and the applications on the basic mathematical and geometrical concepts, limit, continuity, differential, integration, coordinate systems, transformations, surfaces and volumes in space in addition to architectural examples and applications.

Learning Outcomes of the Course Unit

1   To calculate the limits of functions and to understand continuity
2   To calculate the derivative of functions and to understand the applications of derivatives
3   To understand the methods and applications of integrals
4   To describe basic geometric terms and forms
5   To solve transformations of surfaces and volumes in space

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 1.1 Introduction 1.2 Course content 1.3 Relationship between architecture and mathematics 1.4 Basic classifications related to geometry 1.5 Coordinate systems Lecture notes for this week and the following week will be given Giving Assignment 1
2 2.1 Concepts of point, line, surface and volume 2.2 Orthogonal transformations 2.3 Limit 2.4 Continuity Lecture notes for the following week will be given
3 3.1 Surfaces 3.2 Curvature of surfaces 3.3 Derivative I Submission of Assignment 1 Lecture notes for the following week will be given Giving Assignment 2
4 4.1 Quadratic curves and surfaces 4.2 Derivative II Lecture notes for the following week will be given
5 5.1 Solution of Assignment 2 5.2 Derivative III 5.3 Functions and their expansion to series 5.4 Partial derivative Submission of Assignment 2 Lecture notes for the following week will be given Giving Assignment 3
6 6.1 Minimal surfaces 6.2 Integral I 6.3 Discourse on Assignment 3 Lecture notes for the following week will be given
7 7.1 Solution of Assignment 3 7.2 The concept of symmetry 7.3 Golden ratio 7.4 Integral II Submission of Assignment 3
8 8.1 Submission of the Midterm Exam Submission of the Midterm Exam Lecture notes for the following week will be given
9 9.1 Solution of the Midterm Exam 9.2 Platonic solids, polyhedrons 9.3 Multivariable functions 9.4 Geometric folding algorithm Lecture notes for the following week will be given Giving Assignment 4
10 10.1 Discourse on Assignment 4 10.2 Graph theory Lecture notes for the following week will be given
11 11.1 Discourse on Assignment 4 11.2 Projection methods 11.3 Deformations Submission of Assignment 4 Lecture notes for the following week will be given Giving Assignment 5
12 12.1 Fractal geometry Lecture notes for the following week will be given
13 13.1 Solution of Assignment 5 13.2 Networks and Discrete solutions 13.3 Spline and NURBS Lecture notes for the following week will be given Submission of Assignment 5
14 14.1 Mathematics in computational design 14.2 Mathematics in digital production

Recomended or Required Reading

- Lecture notes
- Tin, A.T., Badem, N. (2011). Matematik I, Cilt 1-2. Dokuz Eylül Üniversitesi, Mühendislik Fakültesi Basım Ünitesi, Izmir.
- Aydın, S. (1980). Analize Giriş. Başarı Yayınları, Ankara.
- Speigel, M.R. (1978). Advanced Calculus. Mc-Graw-Hill Book Company, New York.
- Stein, S.K., Barcellos, A. (1996). Calculus ve Analitik Geometri, Cilt 1-2. Mc-Graw-Hill-Literatür, Istanbul.
- Ayres, F. (1980). Matrices. Schaums Outline Series, Mc-Graw-Hill Book Company, New York.
- Lipschutz, S. (1974). Linear Algebra. Schaums Outline Series, Mc-Graw-Hill Book Company, New York.
- Çatal, (Alku) S. (2003). Sayısal Çözümleme ve Örnekler. Dokuz Eylül Üniversitesi Müh.Fak. Basım Ünitesi, Izmir.
- Oturanç, G. Kurnaz, A. Kiriş, M.E. (2003). Sayısal Analiz. Dizgi Ofset Yayınları, Konya.
- Uzun, I. (2000). Nümerik Analiz. Beta Yayınları, Istanbul.
- Gündoğdu Ö., Kopmaz O., Ceviz M.A., (2004). Matlab Mühendislik ve Fen Uygulamalarıyla. Nobel Yayın Dağıtım, Istanbul.
Materials: Scientific calculator.

Planned Learning Activities and Teaching Methods

The course is taught in a lecture, student presentation, assignment and discussion format.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 PRC PRACTICE
3 FINS FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.10 + PRC * 0.55 + FINS * 0.35
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.10 + PRC * 0.55 + RST * 0.35


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

Students will submit all materials for assessment online. If the rules are not determined by the lecturer, different presentation / delivery formats can be used by contacting the lecturer.

Assessment Criteria

Midterm Exam 10% (LO1, LO2, LO3)
Assignments 55% (LO1, LO2, LO3, LO4, LO5)
Final Exam 35% (LO1, LO2, LO3, LO4, LO5)

Grading for Assignments will be evaluated as the weighted grade average of the assignments submitted during the semester.

Up to 10% points can be added to the Assignment and Final grade, depending on the student's active participation in the lectures, the quality of his answers to the questions asked by the lecturer in or out of the course, and contribution to creating a positive learning environment.

Language of Instruction

Turkish

Course Policies and Rules

1. Students are expected to attend the class fully prepared to discuss the subjects and other related material.
2. Late submissions will be subject to a different evaluation.
3. All kinds of plagiarism will result in a disciplinary action.
4. Instructor might do quiz or exercises in the term. Their marks will be considered in eiither the assignment or final grades depending on their topic.

Contact Details for the Lecturer(s)

ayca.tokuc@deu.edu.tr

Office Hours

Monday 7th-8th lecture hours.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Tutorials 12 1 12
Student Presentations 1 1 1
Preparation about subject 13 1 13
Preparations before/after weekly lectures 13 1 13
Preparation for midterm exam 1 3 3
Preparation for final exam 1 6 6
Preparing assignments 5 2 10
Preparing presentations 1 5 5
Midterm 1 2 2
Final 1 4 4
Quiz etc. 5 1 5
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.15555
LO.25555
LO.35555
LO.4555
LO.5555