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Information
| Code | INMZ103 |
| Name | Mathematics 1 |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
1 |
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 | 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 | 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 |
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 | ||