TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM103 |
| Name | Calculus I |
| Term | 2021-2022 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3.5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GONCA AYIK |
| Course Instructor |
Dr. Öğr. Üyesi Doğa Can SERTBAŞ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To equip students with the knowledge of basic engineering mathematics and applications of this information to teach the Industrial Engineering
Course Content
Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To be equipped with basic knowledge of mathematics |
| LO02 | To be equipped with applications of mathematics |
| LO03 | Having the skill to solve certain basic problems |
| LO04 | Understanding the relationship between engineering and mathematics |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 4 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 4 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 4 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 3 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 2 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 2 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 1 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 1 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 3 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 1 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 1 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 1 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Reading the related chapter from text book | |
| 2 | Some type of functions | Reading the related chapter from text book | |
| 3 | Introduction to limit | Reading the related chapter from text book | |
| 4 | Some basic theorems about limit | Reading the related chapter from text book | |
| 5 | Infinite limits and limits in infinite | Reading the related chapter from text book | |
| 6 | Continuity | Reading the related chapter from text book | |
| 7 | Derivative and some basic derivative rules | Reading the related chapter from text book | |
| 8 | Mid-Term Exam | Problem solving | |
| 9 | Higher Order Derivatives | Reading the related chapter from text book | |
| 10 | Some applications of derivative | Reading the related chapter from text book | |
| 11 | To draw the graphs of any function | Reading the related chapter from text book | |
| 12 | Some applications to max. and min. problems | Reading the related chapter from text book | |
| 13 | Exponential and logarithmic functions | Reading the related chapter from text book | |
| 14 | Trigonometric functions and their derivatives | Reading the related chapter from text book | |
| 15 | Solving some basic problems | Problem solving | |
| 16 | Term Exams | Problem solving | |
| 17 | Term Exams | Problem solving |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 153 | ||
| Total Workload / 25 (h) | 6,12 | ||
| ECTS | 6 ECTS | ||