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| KMAK1001 | MATH. | 4+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | Short Cycle | | Status | Compulsory | | Department | DEPARTMENT of MECHANICAL and METAL TECHNOLOGIES | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Group study | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Öğr. Gör. Dr Gül GEDİK GÜLTEKİN | | Co-Lecturer | Lect. Fuat YETİM, Lect. Şenol DEMİR | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | In this course, it is aimed to gain knowledge and skills of their profession Related to Mathematics. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Students recognize Number Systems. Students can make all conversions between number systems.Students can solve problems about Number systems. | 1 | 1 | | LO - 2 : | Students can make operations about Exponents, fractional and transactions numbers. | 1 | 1 | | LO - 3 : | Students can define polynomials and solve operations between Polynomials. | 1 | 1 | | LO - 4 : | Students can solve equations containing first -order one or two unknown equations.Students can get the roots of equations one and two unknown equations. | 1 | 1 | | LO - 5 : | Students can analysis Algebraic expressions and know Identities. Students can factorize a given expression and resolve inequities. | 1 | 1 | | LO - 6 : | Students know Basic Geometric Relations.For any triangle.Students can make some angle and area calculations for Triangles and other polygons.Students can make area and volume calculations for solids. | 1 | 1 | | LO - 7 : | Students know Trigonometric relations, can make calculations related to trigonometry, can get on trigonometric expressions about Triangles and can make Trigonometric operations. | 1 - 4 - 7 | 1 | | LO - 8 : | Students know Logarithmic Relation and Expressions. Students can solve logarithmic and exponential equations. | 1 | 1 | | LO - 9 : | Students can make Complex numbers Summing, Subtraction,Multiplication and Division operations. Students makes operations such as taking complex conjugate. Students can solve the equations about complex numbers. | 1 | 1 | | LO - 10 : | Students know probability Theorem, can make combinations and permutations calculations. | 1 | 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 | | |
| Numbers,Algebra,Polynomials,System of equations,Inequalities,Geometry,Trigonometry,Logarithm,Complex Numbers,Probability.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Natural numbers,Integers,rational numbers and decimal numbers, Exponential numbers, Root
Numbers. | | | Week 2 | Natural numbers,Integers,rational numbers and decimal numbers, Exponential numbers, Root
Numbers. | | | Week 3 | Natural numbers,Integers,rational numbers and decimal numbers, Exponential numbers, Root
Numbers. | | | Week 4 | Algebraic Expressions, Identities, Factoring and Rational Expressions. | | | Week 5 | Algebraic Expressions, Identities, Factoring and Rational Expressions. | | | Week 6 | First Order Equations, Second Order Equations and Inequalities, Quadratic Functions and Graphs. | | | Week 7 | Basic Geometric Relations, triangles and Alan Angles, Triangle Angle and Area other than some polygons, circle of relations, area and volume calculation of some basic solid objects. | | | Week 8 | Basic Geometric Relations, triangles and Alan Angles, Triangle Angle and Area other than some polygons,circle of relations, area and volume calculation of some basic solid objects. | | | Week 9 | Midterm Exam. | | | Week 10 | Trigonometric equations, trigonometric operations, triangles Trigonometric Expressions and actions. | | | Week 11 | Logarithmic Relations and expressions, logarithmic equations, Solution Methods, Exponential Equations Solution Methods. | | | Week 12 | Practice exam. | | | Week 13 | Logarithmic Relations and expressions, logarithmic equations, Solution Methods, Exponential Equations Solution Methods. | | | Week 14 | Complex plane, complex numbers summation, complex numbers subtraction, complex numbers multiplication, complex numbers division, conjugate of complex numbers, equation solutions about Complex numbers. | | | Week 15 | Probability theorem, combination, permutation. | | | Week 16 | Final Exam. | | | |
| 1 | Ders notları | | | 2 | Serkan Yaykaşlı-Ali Rıza Pekşen Matematik, Miray Yayınları. | | | |
| 1 | Genel Matematik, Doç.Dr. A.Sinan Çevik,Öğr.Gör.Engin Bozacı | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 18/11/2025 | 1 | 50 | | End-of-term exam | 16 | 13/01/2026 | 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 | 3 | 14 | 42 | | Sınıf dışı çalışma | 4 | 14 | 56 | | Arasınav için hazırlık | 1 | 9 | 9 | | Arasınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 1 | 11 | 11 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 120 |
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