TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| MATHEMATICS PR. | |
| Code | MT419 |
| Name | Professional English I |
| Term | 2026-2027 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. YILMAZ DURĞUN |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
This course introduces undergraduate mathematics students to the fundamental terminology and language structures used in abstract mathematics, based on Chapter Zero: Fundamental Notions of Abstract Mathematics by Carol Schumacher. Students develop skills in understanding and using mathematical statements, set theory, logic, definitions, proof techniques, and functions in English. The course emphasizes reading, writing, and explaining mathematical concepts clearly and accurately, helping students gain confidence in both mathematical reasoning and academic English communication.
Course Content
This course covers the fundamental concepts of abstract mathematics using Chapter Zero: Fundamental Notions of Abstract Mathematics by Carol Schumacher as the main text. Topics include mathematical statements, set theory, logic and quantifiers, methods of definition, basic proof techniques, and an introduction to functions. Emphasis is placed on understanding and using correct mathematical terminology and language structures in English through reading, writing, and problem-based activities.
Course Precondition
None
Resources
Chapter Zero: Fundamental Notions of Abstract Mathematics by Carol Schumacher
Notes
The Concise Oxford Dictionary of Mathematics
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gains technical vocabulary related to their profession. |
| LO02 | Can understand simple and intermediate-level academic texts in a foreign language related to their field. |
| LO03 | Can form simple sentences in a foreign language related to the subject and answer questions. |
| LO04 | Can analyze sentence structures. |
| LO05 | Can translate texts into Turkish. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | 2 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 3 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Demonstrates the ability to express the basic theories of mathematics accurately both in writing and orally. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Comprehends at least one of the computer programming languages. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | 3 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | 5 |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities. | 3 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Understands the programming techniques and shows the ability to do programming. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Demonstrates the ability to study mathematics both independently and as a group. | 3 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | 4 |
| PLO16 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | 4 |
| PLO17 | Bilgi - Kuramsal, Olgusal | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | 4 |
| PLO18 | Bilgi - Kuramsal, Olgusal | Gains the ability to use information technologies effectively for contemporary mathematical applications. | 2 |
| PLO19 | Bilgi - Kuramsal, Olgusal | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | |
| PLO20 | Bilgi - Kuramsal, Olgusal | Gains the consciousness of prefesional ethics and responsibility. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Statements and Variables | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 2 | Sets and Elements | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 3 | Set Operations | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 4 | Cartesian Products & Relations (Intro | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 5 | Logic: Connectives | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 6 | Quantifiers | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 7 | Writing Definitions | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Using Definitions | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 10 | Introduction to Proof | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 11 | Direct Proof | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 12 | Contrapositive & Contradiction | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Introduction to Functions | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 14 | Types of Functions | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 15 | Review + Presentations | Review of the relevant pages from sources | Öğretim Yöntemleri: Gösteri, Anlatım |
| 16 | Term Exams | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 5 | 5 | 25 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 15 | 15 |
| Total Workload (Hour) | 132 | ||
| Total Workload / 25 (h) | 5,28 | ||
| ECTS | 5 ECTS | ||