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Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | INMZ104 |
| Name | Mathematics 2 |
| Term | 2025-2026 Academic Year |
| Semester | 2. 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
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The purpose of this course is to teach necessary mathematical techniques used in solving engineering problems.
Course Content
Methods of integration, application of integration, area under the curve, volume of a solid of revolution, polar coordinates, sequences and series.
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 find the relationship between derivative and integral |
| LO02 | To comprehend the rules and technics of integrals |
| LO03 | To calculate area, the arc length, volume of revolution by using integration |
| LO04 | To calculate area, the arc length, area of revolution by using integration in Polar coordinant system |
| LO05 | To give the applications of series |
| LO06 | To solve differantial equations by using series |
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 | Indefinite integrals, integration methods, integration by substitution, integration by parts | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Reduction formulas, partial fraction, trigonometric integral | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | İntegration of rational functions, trigonometric substitution | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Definite integrals, properties of definite integrals | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Methods of integration, area under a curve | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Volume by the method of cross sections, Volume by the method of revolution and Volume by the method of discs | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Volume by the method of shells | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Lecture Notes and Related Resource Books | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Lenght of a plane curve, area of a surface of revolution | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Moment and The WEIGHT center, limit of a function by using integrals | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Improper integrals | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Polar coordinates, curve sketching in polar coordinates | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Area in polar coordinates, lenght of a polar curves, surface area in polar coordinates | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Sequences, convergence of sequences, Newton's method for finding the roots of equation | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Series, positive series and convergence tests for these series, power series, Taylor series | Lecture Notes and Related Resource Books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Lecture Notes and Related Resource Books | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture Notes and Related Resource Books | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| 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 | 4 | 52 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 6 | 4 | 24 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 146 | ||
| Total Workload / 25 (h) | 5,84 | ||
| ECTS | 6 ECTS | ||