Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| BASIC MATHEMATICS | - | Fall Semester | 3+0 | 3 | 4 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | Short Cycle (Associate's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Hüseyin KOCAMAN |
| Name of Lecturer(s) | Lect. Şeyma ÇETİN |
| Assistant(s) | |
| Aim | Educate the calculations of mathematics acquired for the program and make students have basic level of mathematics course that they need to know.. |
| Course Content | This course contains; Sets, number sets,Operations with Numbers,Equations, types of equations,Exponential and rooted numbers,Factorization,Ratio and proportion,Polynomials,Counting, permutation, combination,Simple linear functions,Graphs of inequalities in the cartesian plane,Nonlinear functions,Simple polynomial functions,Function types,Graphic drawings of functions. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 1. Will acquire basic knowledge about sets and number sets. | 12, 9 | A |
| 1.1. Knows the properties of sets, the intersection, union and difference of two sets. | ||
| 1.2. Knows the properties of sets of natural numbers, integers, rational and irrational numbers and real numbers. Knows the concept of interval. Solves problems related to closed interval, open interval, semi-open intervals. Solves problems related to absolute value and absolute value. | ||
| 2. Will perform operations and certain calculations related to numbers. | 12, 9 | A |
| 2.1. Pays attention to the priorities of operations. Performs addition, subtraction, multiplication and division. | ||
| 3. Will comprehend equations and types of equations. | 12, 9 | A |
| 3.1. Solves first and second order polynomial equations (linear-nonlinear). | ||
| 3.2. Solves exponential and logarithmic equations (non-linear). | ||
| 4. Will comprehend the properties of exponential and rooted multiplicities. | 12, 9 | A |
| 4.1. Knows the properties of exponential and rooted multiplicities, knows their relations and solves problems related to the subject. | ||
| 5. Will learn factorization and its methods. | 12, 9 | A |
| 5.1. Performs factorization and simplification operations. | ||
| 6. Will exemplify the concepts of ratio and proportion and interpret inverse proportion and direct proportion in calculations. | 12, 9 | A |
| 6.1. Knows the concepts of ratio and proportion. | ||
| 6.2. Knows the concepts of direct proportion, inverse proportion and makes applications. | ||
| 7. Will construct and solve equations of mathematical problems. | 12, 9 | A |
| 7.1. Transfers and solves daily life problems into equations and systems of equations. | ||
| 8. Will learn counting, combinations and permutations. | 12, 9 | A |
| 8.1. Establishes the logic of counting, being in a certain order and produces solutions to these problems with the concepts of combination and permutation. | ||
| 9. Will recognize simple linear functions. | 12, 9 | A |
| 9.1. Knows line and line equation. | ||
| 9.2. Comprehends slope, parallel and perpendicular lines, their relations and relations with each other. | ||
| 10. Will learn to represent solutions of inequalities in the cartesian plane. | 12, 9 | A |
| 10.1. Learns the solution of inequalities by using equations. | ||
| 10.2. Learns to represent inequalities in one variable on the real axis and sets of inequalities on the Cartesian plane. | ||
| 11. Will learn non-linear functions. | 12, 9 | A |
| 11.1. Learns other non-linear functions other than polynomial functions: Trigonometric functions, logarithmic functions, exponential functions. | ||
| 12. Will learn polynomial functions. | 12, 9 | A |
| 12.1. Learns linear or non-linear polynomial functions. | ||
| 13. Will comprehend other types of functions. | 12, 9 | A |
| 14. Will learn how to draw graphs in functions. | 12, 9 | A |
| Teaching Methods: | 12: Problem Solving Method, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Sets, number sets | Reading |
| 2 | Operations with Numbers | Reading |
| 3 | Equations, types of equations | Reading |
| 4 | Exponential and rooted numbers | Reading |
| 5 | Factorization | Reading |
| 6 | Ratio and proportion | Reading |
| 7 | Polynomials | Reading |
| 8 | Counting, permutation, combination | Reading |
| 9 | Simple linear functions | Reading |
| 10 | Graphs of inequalities in the cartesian plane | Reading |
| 11 | Nonlinear functions | Reading |
| 12 | Simple polynomial functions | Reading |
| 13 | Function types | Reading |
| 14 | Graphic drawings of functions | Reading |
| Resources |
| Quick Business Math, Steve Slavin, Matematik Yrd.Doç.Dr. Ali Erdoğan, Nobel Press. |
| Temel Matematik, Prof.Dr. Mahmut Kartal, Doç.Dr. Yalçın Karagöz, Yrd.Doç.Dr. Zafer Kartal, Nobel Press. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Secondary and won the high school level, including current information on the basis of competence in the field of books and documents, to have the basic theoretical and practical knowledge supported with other sources. | X | |||||
| 2 | Theoretical and practical knowledge acquired in the field of basic level, in an area on the same level and / or acquire the skills to use a higher level of education. | X | |||||
| 3 | The field gain using the basic level of knowledge and skills, analyze, identify problems, interpret and evaluate the data obtained, develop solutions based on problems. | X | |||||
| 4 | To conduct an independent study on the basic level in the area. | X | |||||
| 5 | Take responsibility to solve complex problems encountered in applications related and unforeseen area. | X | |||||
| 6 | To identify learning needs, the basic level of knowledge and skills to evaluate critical thinking, to meet. | X | |||||
| 7 | Learning a profession or a higher level of education be able to and lifelong learning has gained consciousness. | X | |||||
| 8 | Issues related to the area where thoughts have learned to transfer knowledge and skills at the level of oral and written communication. | X | |||||
| 9 | Their thoughts and suggestions share for solutions to problems related to the field. | X | |||||
| 10 | European Computer Driving Licence to use together with information and communication technologies. | X | |||||
| 11 | In the field of social, scientific, cultural and ethical values. | X | |||||
| 12 | Social justice, quality and cultural values, environmental protection, occupational health and safety issues have sufficient awareness of the universality of social rights. | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 40 | |
| Rate of Final Exam to Success | 60 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 3 | 42 | |||
| Guided Problem Solving | 3 | 12 | 36 | |||
| Resolution of Homework Problems and Submission as a Report | 0 | 0 | 0 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 0 | 0 | 0 | |||
| Quiz | 2 | 6 | 12 | |||
| Midterm Exam | 1 | 10 | 10 | |||
| General Exam | 1 | 12 | 12 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 112 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(112/30) | 4 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| BASIC MATHEMATICS | - | Fall Semester | 3+0 | 3 | 4 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | Short Cycle (Associate's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Hüseyin KOCAMAN |
| Name of Lecturer(s) | Lect. Şeyma ÇETİN |
| Assistant(s) | |
| Aim | Educate the calculations of mathematics acquired for the program and make students have basic level of mathematics course that they need to know.. |
| Course Content | This course contains; Sets, number sets,Operations with Numbers,Equations, types of equations,Exponential and rooted numbers,Factorization,Ratio and proportion,Polynomials,Counting, permutation, combination,Simple linear functions,Graphs of inequalities in the cartesian plane,Nonlinear functions,Simple polynomial functions,Function types,Graphic drawings of functions. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 1. Will acquire basic knowledge about sets and number sets. | 12, 9 | A |
| 1.1. Knows the properties of sets, the intersection, union and difference of two sets. | ||
| 1.2. Knows the properties of sets of natural numbers, integers, rational and irrational numbers and real numbers. Knows the concept of interval. Solves problems related to closed interval, open interval, semi-open intervals. Solves problems related to absolute value and absolute value. | ||
| 2. Will perform operations and certain calculations related to numbers. | 12, 9 | A |
| 2.1. Pays attention to the priorities of operations. Performs addition, subtraction, multiplication and division. | ||
| 3. Will comprehend equations and types of equations. | 12, 9 | A |
| 3.1. Solves first and second order polynomial equations (linear-nonlinear). | ||
| 3.2. Solves exponential and logarithmic equations (non-linear). | ||
| 4. Will comprehend the properties of exponential and rooted multiplicities. | 12, 9 | A |
| 4.1. Knows the properties of exponential and rooted multiplicities, knows their relations and solves problems related to the subject. | ||
| 5. Will learn factorization and its methods. | 12, 9 | A |
| 5.1. Performs factorization and simplification operations. | ||
| 6. Will exemplify the concepts of ratio and proportion and interpret inverse proportion and direct proportion in calculations. | 12, 9 | A |
| 6.1. Knows the concepts of ratio and proportion. | ||
| 6.2. Knows the concepts of direct proportion, inverse proportion and makes applications. | ||
| 7. Will construct and solve equations of mathematical problems. | 12, 9 | A |
| 7.1. Transfers and solves daily life problems into equations and systems of equations. | ||
| 8. Will learn counting, combinations and permutations. | 12, 9 | A |
| 8.1. Establishes the logic of counting, being in a certain order and produces solutions to these problems with the concepts of combination and permutation. | ||
| 9. Will recognize simple linear functions. | 12, 9 | A |
| 9.1. Knows line and line equation. | ||
| 9.2. Comprehends slope, parallel and perpendicular lines, their relations and relations with each other. | ||
| 10. Will learn to represent solutions of inequalities in the cartesian plane. | 12, 9 | A |
| 10.1. Learns the solution of inequalities by using equations. | ||
| 10.2. Learns to represent inequalities in one variable on the real axis and sets of inequalities on the Cartesian plane. | ||
| 11. Will learn non-linear functions. | 12, 9 | A |
| 11.1. Learns other non-linear functions other than polynomial functions: Trigonometric functions, logarithmic functions, exponential functions. | ||
| 12. Will learn polynomial functions. | 12, 9 | A |
| 12.1. Learns linear or non-linear polynomial functions. | ||
| 13. Will comprehend other types of functions. | 12, 9 | A |
| 14. Will learn how to draw graphs in functions. | 12, 9 | A |
| Teaching Methods: | 12: Problem Solving Method, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Sets, number sets | Reading |
| 2 | Operations with Numbers | Reading |
| 3 | Equations, types of equations | Reading |
| 4 | Exponential and rooted numbers | Reading |
| 5 | Factorization | Reading |
| 6 | Ratio and proportion | Reading |
| 7 | Polynomials | Reading |
| 8 | Counting, permutation, combination | Reading |
| 9 | Simple linear functions | Reading |
| 10 | Graphs of inequalities in the cartesian plane | Reading |
| 11 | Nonlinear functions | Reading |
| 12 | Simple polynomial functions | Reading |
| 13 | Function types | Reading |
| 14 | Graphic drawings of functions | Reading |
| Resources |
| Quick Business Math, Steve Slavin, Matematik Yrd.Doç.Dr. Ali Erdoğan, Nobel Press. |
| Temel Matematik, Prof.Dr. Mahmut Kartal, Doç.Dr. Yalçın Karagöz, Yrd.Doç.Dr. Zafer Kartal, Nobel Press. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Secondary and won the high school level, including current information on the basis of competence in the field of books and documents, to have the basic theoretical and practical knowledge supported with other sources. | X | |||||
| 2 | Theoretical and practical knowledge acquired in the field of basic level, in an area on the same level and / or acquire the skills to use a higher level of education. | X | |||||
| 3 | The field gain using the basic level of knowledge and skills, analyze, identify problems, interpret and evaluate the data obtained, develop solutions based on problems. | X | |||||
| 4 | To conduct an independent study on the basic level in the area. | X | |||||
| 5 | Take responsibility to solve complex problems encountered in applications related and unforeseen area. | X | |||||
| 6 | To identify learning needs, the basic level of knowledge and skills to evaluate critical thinking, to meet. | X | |||||
| 7 | Learning a profession or a higher level of education be able to and lifelong learning has gained consciousness. | X | |||||
| 8 | Issues related to the area where thoughts have learned to transfer knowledge and skills at the level of oral and written communication. | X | |||||
| 9 | Their thoughts and suggestions share for solutions to problems related to the field. | X | |||||
| 10 | European Computer Driving Licence to use together with information and communication technologies. | X | |||||
| 11 | In the field of social, scientific, cultural and ethical values. | X | |||||
| 12 | Social justice, quality and cultural values, environmental protection, occupational health and safety issues have sufficient awareness of the universality of social rights. | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 40 | |
| Rate of Final Exam to Success | 60 | |
| Total | 100 | |