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Information
| Code | INMZ104 |
| Name | Mathematics 2 |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
1 |
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 | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
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 |
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 | ||