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Information
| Code | EEE103 |
| Name | Calculus I |
| 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. HAYRULLAH AYIK |
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
Limit, precise definiton of limit, limit at infinity. Derivative concept, derivative definition, differentiation rules, implicit differentiation, related rates. Maxima and minima, concavity, curve sketching, optimization. Area problem, definite integral, fuındamental theorem of Calculus, subsitution rule. Transcendental functions, their derivatives and integrals, indeterminate limits and L Hospital rule. Integration by parts and other iintegration techniques.
Course Precondition
NONE
Resources
Calculus, Soo T. Tan
Notes
Internet bazlı kaynaklar
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Identifies every function. |
| LO02 | Comprehends the limit concept and evaluates limits. |
| LO03 | Grasps the geometical and physical meaning of derivative, writes the derivative definition. |
| LO04 | Defines the derivative and evaluates the derivative of any function. |
| LO05 | Draws the graphics of functions. |
| LO06 | Evaluates limits and solves some maximum-minimum problems by using derivative. |
| LO07 | Defines definite integral, evaluates indefinite integrals using appropriate methods. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | 5 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | 4 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | 5 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. | 4 |
| PLO13 | Bilgi - Kuramsal, Olgusal | Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Preparation | Öğretim Yöntemleri: Anlatım |
| 2 | Limit concept, limit definition | Preparation | Öğretim Yöntemleri: Anlatım |
| 3 | Limit at infinity, infinity as a limit, continuity | Preparation | Öğretim Yöntemleri: Anlatım |
| 4 | Tangent problem, derivative definition | Preparation | Öğretim Yöntemleri: Anlatım |
| 5 | Derivative rules, derivatives of trigonometric functions | Preparation | Öğretim Yöntemleri: Anlatım |
| 6 | Chain rule, higher order derivatives, implicit differentiation | Preparation | Öğretim Yöntemleri: Anlatım |
| 7 | Curve sketching, applied optimization problems | Preparation | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Prepare exam questions | Öğretim Yöntemleri: Anlatım |
| 9 | Area problem, definite integral and its properties | Preparation | Öğretim Yöntemleri: Anlatım |
| 10 | Fundamental Theorem of Calculus, indefinite integral, substitution rule | Preparation | Öğretim Yöntemleri: Anlatım |
| 11 | Exponential and logarithmic functions | Preparation | Öğretim Yöntemleri: Anlatım |
| 12 | Inverse trigonometric functions, indeterminate limits and L Hospital rule | Preparation | Öğretim Yöntemleri: Anlatım |
| 13 | Integration by parts, trigonometric integrals, trigonometric substitution | Preparation | Öğretim Yöntemleri: Anlatım |
| 14 | Integration of rational functions, rationalizing substitutions | Preparation | Öğretim Yöntemleri: Anlatım |
| 15 | Review | Preparation | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Prepare exam questions | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Prepare exam questions | 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 | ||