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Information
| Code | CEN107 |
| Name | Mathematics 1 |
| Semester | 1. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ŞEHMUS FINDIK |
Course Goal
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity
Course Content
Preliminaries, Functions, Limits and Continuity, Derivatives, Applications of Derivative
Course Precondition
None.
Resources
Calculus, J. Stewart
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Identifies every function, draw their graphics. |
| LO02 | Comprehends the limit concept and evaluates limits. |
| LO03 | Grasps the geometical and physical meaning of derivative, writes the derivative definition, defines the derivative rules based on this definition, evaluates the derivative of any function. |
| LO04 | Defines definite integral, evaluates indefinite integrals using appropriate methods |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Can access information,gains the ability to do resource research and uses information resources | 3 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility, | 4 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions 1 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Limit concept, limit definition 2 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 3 | Limit at infinity, infinity as a limit, continuity 3 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Tangent problem, derivative definition 4 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 5 | Derivative rules, derivatives of trigonometric functions 5 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Chain rule, higher order derivatives, implicit differentiation 6 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 7 | Curve sketching, applied optimization problems 7 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Review, midterm exam 8 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 9 | Area problem, definite integral and its properties 9 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | Fundamental Theorem of Calculus, indefinite integral, substitution rule 10 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 11 | Exponential and logarithmic functions 11 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Inverse trigonometric functions, indeterminate limits and L´Hospital rule 12 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Integration by parts, trigonometric integrals, trigonometric substitution 13 | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Integration of rational functions, rationalizing substitutions 14 | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 15 | FINAL 15 | Reading the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 16 | FINAL 16 | Reading the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | FINAL 17 | Reading the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||