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| MAT1001 | General Mathematics | 2+2+0 | ECTS:5 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of BIOLOGY | | 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 | Lecturers | | 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.
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| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | learn the basic mathematical techniques | 1,4 | 1, | | LO - 2 : | gain the basic mathematical skills | 1,4 | 1, | | LO - 3 : | apply the basic mathematical skills to the vocational problems | 1,4 | 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,Inequalities. Kinds of functions and its graphs. Limits and Continuity, Derivative Concept and Rules, Increasing and Decreasing Functions, Concavity, Maxim and Minimal Problems, Reel Numbers, Exponential and Root Expressions, Absolute Value, Inequalities, Direct Analytical Analysis, Functions of One and Two Variables, Function Types and Simple Graphs, Asymptotes and Graphics Drawing. Indefinite Integrals and Elemetary integral rules, Method of Variable Change. Definite Integrals, Applications of Areas Between Curves by definite integral.Matrices and Matrix Operations, Determinants and Their Properties, Solutions of Linear Equation Systems,
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real numbers, Exponential and Power terms, Absolute value, Inequalities. | | | Week 2 | The concept of function, definition sets and graphs of basic functions | | | Week 3 | Shifting the graphs of basic functions, the concept of exponential and logarithmic functions | | | Week 4 | The concept of limit in functions, limit at infinity, limit infinity, continuity | | | Week 5 | definition of derivative, derivative calculation rules, (chain rule, implicit differentiation, higher order derivative) | | | Week 6 | applications of derivative (geometric interpretation of derivative, maximum-minimum) | | | Week 7 | applications of derivative (maximum-minimum, limit application of derivative) | | | Week 8 | Indefinite integral, the substitution rule | | | Week 9 | Mid-term exam | | | Week 10 | Partial integration method, simple fractionation method | | | Week 11 | Definite integral,
area between two curves | | | Week 12 | matrices and determinants | | | Week 13 | System of Linear Equations | | | Week 14 | Solution of linear equation system with echelon form | | | Week 15 | Cramer method | | | Week 16 | End-of-term exam | | | |
| 1 | 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, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 25/11/2021 | 1,5 | 50 | | End-of-term exam | 16 | 13/01/2022 | 1,5 | 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 | 3 | 14 | 42 | | Sınıf dışı çalışma | 4 | 14 | 56 | | Arasınav için hazırlık | 23 | 1 | 23 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 25 | 1 | 25 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 150 |
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