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Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | INMZ103 |
| Name | Mathematics 1 |
| Term | 2025-2026 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
Prof. Dr. HATİCE ÇAĞATAY
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of the course is to teach the basic mathematical techniques used in branch courses, in addition to attain analytical thinking.
Course Content
Basic mathematics and their applications to engineering
Course Precondition
None
Resources
Prof. Dr. Mustafa Balcı, Genel Matematik 1, Balcı yayınları, 2008.
Notes
Dennis G. Zill, Warren S. Wright, Calculus, Nobel yayınnları, 2013.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To understand the functions and features |
| LO02 | To learn the concept of limit |
| LO03 | To learn how to take the derivative of a function |
| LO04 | To solve some physical problems by using derivative thechniques |
| LO05 | Optimization problems |
| LO06 | Learns and solves curved drawings. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | “Sufficient knowledge in mathematics, science, and discipline-specific topics in Civil Engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems.” | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | “The ability to identify, formulate, and solve complex Civil Engineering problems; and the ability to select and apply appropriate analysis and modeling methods for this purpose.” | |
| PLO03 | Bilgi - Kuramsal, Olgusal | “The ability to design a complex system, process, device, or product to meet specified requirements under realistic constraints and conditions; and the ability to apply modern design methods for this purpose.” | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | “The ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Civil Engineering applications; and the ability to use information technologies effectively.” | |
| PLO05 | Bilgi - Kuramsal, Olgusal | “The ability to design experiments, conduct experiments, collect data, and analyze and interpret results for the investigation of complex Civil Engineering problems or discipline-specific research topics.” | |
| PLO06 | Bilgi - Kuramsal, Olgusal | “The ability to work effectively in intra-disciplinary and multidisciplinary teams; and the ability to work independently.” | |
| PLO07 | Bilgi - Kuramsal, Olgusal | “The ability to communicate effectively in both oral and written form; proficiency in at least one foreign language; the ability to write effective reports and understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear and understandable instructions.” | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | “Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously improve oneself.” | |
| PLO09 | Bilgi - Kuramsal, Olgusal | “Acting in accordance with ethical principles, having professional and ethical responsibility, and having knowledge of the standards used in engineering practices.” | |
| PLO10 | Bilgi - Kuramsal, Olgusal | “Knowledge of business-life practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; and knowledge about sustainable development.” | |
| PLO11 | Bilgi - Kuramsal, Olgusal | “Knowledge of the universal and social impacts of Civil Engineering practices on health, environment, and safety, as well as the contemporary issues reflected in the field of engineering; and awareness of the legal consequences of engineering solutions.” |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sets, real numbers, equations and a graph of an inequality | Lecture notes and book etc. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Functions, some special functions and practical illustrations of these functions | Pepeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Trigonometric functions, inverse trigonometric functions, exponential and logarithmic functions, hyperbolic functions and their inverses | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Limit, the right and left sided limits, rules of a limit, and limit of a function at a point | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Continuity, continuous functions, properties of continuous functions | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Derivative, derivative rules, the derivative of an inverse function, derivative of inverse trigonometric functions | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Derivative of a logarithm function , the derivative of the exponential function, logarithmic differentiation | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Hyperbolic functions, derivetive of an inverse hyperbolic functions | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Derivative of the parametric equations , implicit differentiation, higher order derivatives | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Geometric interpretation of the derivative and physical application of drivatives | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Maximum, minimum points of a function, maximum-minimum problems | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Theorems related with the derivatives, L'Hospital rule, Rolle and Mean Value Theorem | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Indeterminate forms, differential | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Asymptote concept, function plotting by observation of changes in functions | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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) | 13 | 6 | 78 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 148 | ||
| Total Workload / 25 (h) | 5,92 | ||
| ECTS | 6 ECTS | ||