TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM112 |
| Name | Calculus II |
| Term | 2021-2022 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 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
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To equip students with the knowledge of basic informations and applications of derivative and integral
Course Content
L'hospital rule and Taylor's theorem, Indefinite integral, Definite integral and its applications, Calculating area and volume, Multiple integrals
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students can apply the L'hospital rule and the Taylor's theorem. |
| LO02 | Students can calculate indefinite integral. |
| LO03 | Students can calculate definite integral and learn its applications. |
| LO04 | Students can calculate area and volume by using integral. |
| LO05 | Students can calculate multiple integrals. |
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. | 3 |
| 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. | 3 |
| 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. | 2 |
| 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 | L'hospital rule and the Taylor's theorem | Reading the related chapter from text book | |
| 2 | Introduction to indefinite integral | Reading the related chapter from text book | |
| 3 | Basic rules of integrate | Reading the related chapter from text book | |
| 4 | Integrals of trigonometric functions | Reading the related chapter from text book | |
| 5 | Integrals of certain functions in special form | Reading the related chapter from text book | |
| 6 | Integrals of algebraic functions | Reading the related chapter from text book | |
| 7 | Introduction to definite integral | Reading the related chapter from text book | |
| 8 | Mid-Term Exam | Problem solving | |
| 9 | Basic theorems about definite integral | Reading the related chapter from text book | |
| 10 | Basic applications of definite integrals | Reading the related chapter from text book | |
| 11 | Calculating area | Reading the related chapter from text book | |
| 12 | Calculating volume | Reading the related chapter from text book | |
| 13 | Multiple integrals | Reading the related chapter from text book | |
| 14 | Basic applications of multiple integrals | Reading the related chapter from text book | |
| 15 | General review | 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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||