Course Language:
İngilizce
Course Objectives:
To introduce basic algebraic structures and proof techniques
Course Content:
Algebraic structures, integers, rings, fields, groups, homomorphisms and isomorphisms, natural numbers and their properties, rational numbers, real numbers and their properties, complex numbers.
Course Methodology:
1: Lecture, 2: Problem Solving
Course Evaluation Methods:
A: Written examination, B: Homework
Vertical Tabs
Course Learning Outcomes
| Learning Outcomes | Teaching Methods | Assessment Methods |
| 1) Fasciliates abstract thinking | 1,2 | A |
| 2) Learns proof techniques | 1,2 | A |
| 3) Recognizes algebraic structures | 1,2 | A |
| 4) Interprets relations between algebraic structures | 1,2 | A |
Course Flow
| COURSE CONTENT | ||
| Week | Topics | Study Materials |
| 1 | Review of algebraic structures | Textbook |
| 2 | Algebraic properties of integers | Textbook |
| 3 | Rings | Textbook |
| 4 | Fields | Textbook |
| 5 | Groups | Textbook |
| 6 | Homomorphisms and isomorphisms | Textbook |
| 7 | Natural numbers | Textbook |
| 8 | Arithmetic and ordering properties of natural numbers | Textbook |
| 9 | Integers | Textbook |
| 10 | Rational numbers | Textbook |
| 11 | Real numbers | Textbook |
| 12 | Algebraic and ordering properties of real numbers | Textbook |
| 13 | Complex Numbers | Textbook |
| 14 | Complex Numbers | Textbook |
Recommended Sources
| RECOMMENDED SOURCES | |
| Textbook | Intro. to Mathematical Structures, Steven Galovich. HBJ. |
| Additional Resources | |
Material Sharing
| MATERIAL SHARING | |
| Documents | |
| Assignments | |
| Exams | |
Assessment
| ASSESSMENT | ||
| IN-TERM STUDIES | NUMBER | PERCENTAGE |
| Mid-terms | 2 | 100 |
| Quizzes | ||
| Assignments | ||
| Total | 100 | |
| CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE | 50 | |
| CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE | 50 | |
| Total | 100 | |
Course’s Contribution to Program
| COURSE'S CONTRIBUTION TO PROGRAM | ||||||
| No | Program Learning Outcomes | Contribution | ||||
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry) | x | ||||
| 2 | Acquiring fundamental knowledge on fundamental research fields in mathematics | x | ||||
| 3 | Ability form and interpret the relations between research topics in mathematics | x | ||||
| 4 | Ability to define, formulate and solve mathematical problems | x | ||||
| 5 | Consciousness of professional ethics and responsibilty | x | ||||
| 6 | Ability to communicate actively | x | ||||
| 7 | Ability of self-development in fields of interest | x | ||||
| 8 | Ability to learn, choose and use necessary information technologies | x | ||||
| 9 | Lifelong education | x | ||||
ECTS
| ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION | |||
| Activities | Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Course Duration (14x Total course hours) | 14 | 5 | 70 |
| Hours for off-the-classroom study (Pre-study, practice) | 14 | 5 | 70 |
| Mid-terms (Including self study) | 2 | 10 | 20 |
| Quizzes | - | - | - |
| Assignments | - | - | - |
| Final examination (Including self study) | 1 | 15 | 15 |
| Total Work Load | 175 | ||
| Total Work Load / 25 (h) | 7 | ||
| ECTS Credit of the Course | 7 | ||