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| MAT1015 | Mathematics | 2+2+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of ARCHITECTURE | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures and 2 hours of practicals per week | | Lecturer | Doç. Dr. Filiz OCAK | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of the course is to teach the basic mathematical techniques, introducing at the same time a number of mathematical skills which can be used for the analysis of problems. The emphasis is on the practical usability of mathematics; this goal is mainly pursued via a large variety of examples and applications from these disciplines. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | The student will be able to teach the basic mathematical techniques | 1,3 | 1, | | LO - 2 : | The student will be able to gain the basic mathematical skills | 1,3 | 1 | | LO - 3 : | The student will be able to apply the basic mathematical skills to the vocational problems | 1,3 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Real Numbers, Exponential and Power Terms, Absolute Value,Inequality, Analytic Investigation of Lines,Single Value Functions, Kinds of Functions and Its Graphs, Limits and Continuous, Derivative and Geometric Meaning of Derivative, General Derivative Rules, Derivatives of İnverse and Composition Functions. High Order Derivations, Leibniz Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Problems of Maximum and Minimum, Indefinite Integrals and Elemetary Integral Rules, Method of Variable Change., Partial Integration, Separation of Simple Fractions, Definite Integrals, Applications of Areas Between Curves By Definite İntegral, Matrices and Matrice Operations, Solutions of Linear Equation System, Gauss Elimination Method, Determinants and Properties, |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real numbers, exponents and radicals, absolute value, simple inequalities | | | Week 2 | Function concept, domains and graphs of basic functions | | | Week 3 | Shifting graphs of basic functions, exponential and logarithmic function concept | | | Week 4 | The concept of limit in functions, the limit at infinity, the infinity of the limit, the 0/0 and ?/? uncertainties, the concept of continuity | | | Week 5 | Derivative definition, derivative calculation rules (chain rule, implicit function derivative, higher-order
derivative) | | | Week 6 | Applications of the derivative (Geometric interpretation of the derivative, maximum-minimum) | | | Week 7 | Applications of the derivative (Maximum-minimum, application of the derivative to the limit) | | | Week 8 | Indefinite integral, variable substitution method | | | Week 9 | Mid-term exam | | | Week 10 | Partial integration method, simple fractionation method | | | Week 11 | The definite integral, area of the region between two curves | | | Week 12 | Matrices and determinants | | | Week 13 | Linear equation systems | | | Week 14 | Solution of linear equation systems with the help of echelon form | | | Week 15 | Cramer's method | | | Week 16 | End-of-term exam | | | |
| 1 | Thomas, G.B., Finney, R.L.. (Çev: Korkmaz, R.), 2001. Calculus ve Analitik Geometri, Cilt I, Beta Yayınları,
İstanbul. | | | 2 | Balcı, M. 2009. Genel Matematik 1, Balcı Yayınları, Ankara | | | |
| 1 | Kolman, B., Hill, D.L. (Çev Edit: Akın, Ö.) 2002. Uygulamalı lineer cebir. Palme Yayıncılık, | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 18/11/2024 | 1 | 50 | | End-of-term exam | 16 | 06/01/2025 | 1 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 2 | 14 | 28 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 3 | 1 | 3 | | Arasınav | 1 | 1 | 1 | | Uygulama | 2 | 14 | 28 | | Dönem sonu sınavı için hazırlık | 3 | 1 | 3 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 120 |
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