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Information
| Code | CEN107 |
| Name | Mathematics 1 |
| Term | 2024-2025 Academic Year |
| 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 Instructor |
Prof. Dr. ŞEHMUS FINDIK
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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 | Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills. | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. | 2 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | 4 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
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 | ||