Industrial Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Industrial Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Industrial Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| 88600004 | Mathematics - II | 2025 | Spring | 2 | 4+0+0 | 4 | 5 |
| Course Type | Compulsory |
| Course Cycle | Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6) |
| Course Language | Turkish |
| Methods and Techniques | - |
| Mode of Delivery | Face to Face |
| Prerequisites | - |
| Coordinator | Prof. Murat DARÇIN |
| Instructor(s) | Asst. Prof. Nurten URLU ÖZALAN |
| Instructor Assistant(s) | - |
Course Instructor(s)
| Name and Surname | Room | E-Mail Address | Internal | Meeting Hours |
|---|---|---|---|---|
| Asst. Prof. Nurten URLU ÖZALAN | A-130 | [email protected] | 7880 |
Course Content
Derivative, geometric meaning and properties, derivatives of basic elementary functions. Differential, higher order derivative and differential. Applications of derivative, Basic theorems related to derivative. Extremum and asymptotes of functions. Examination of functions and drawing of the graphs. Indefinite integral and its properties. Variable replacement and partial integration. Integrals of rational and irrational functions. Binomial integral. Integrals of trigonometric and hyperbolic functions. Applications and properties of definite integral. Applications of definite integral (area, volume and arc length calculation).
Objectives of the Course
To learn basic mathematical operations, theorems and definitions which will form the basis of branch courses and to gain the ability to apply and develop them in branch courses.
Contribution of the Course to Field Teaching
| Basic Vocational Courses | X |
| Specialization / Field Courses | |
| Support Courses | |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
Relationships between Course Learning Outcomes and Program Outcomes
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Program Learning Outcomes | Level |
|---|---|---|
| P1 | Knowledge of mathematics, natural sciences, fundamental engineering, computational sciences, and industrial engineering-specific subjects; the ability to apply this knowledge to solve complex industrial engineering problems. | 5 |
Course Learning Outcomes
| Upon the successful completion of this course, students will be able to: | |||
|---|---|---|---|
| No | Learning Outcomes | Outcome Relationship | Measurement Method ** |
| O1 | Able to understand derivatives, their geometric meaning and properties, and the derivatives of basic elementary functions. | P.1.96 | 1 |
| O2 | Able to understand higher-order derivatives and differentials, applications of derivatives, and fundamental theorems of calculus related to derivatives. | P.1.97 | 1 |
| O3 | Able to understand the method of integration by parts and the integrals of rational and irrational functions. | P.1.98 | 1 |
| O4 | Able to understand the applications and properties of definite integrals, including area calculation, volume, and arc length. | P.1.99 | 1 |
| O5 | Able to understand series, convergence and divergence of series, convergence of positive-term series, the integral test, the limit comparison test, and the limit test. | P.1.141 | 1 |
| ** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7 | |||
Weekly Detailed Course Contents
| Week | Topics |
|---|---|
| 1 | Derivative, geometric meaning and properties |
| 2 | Derivatives of basic elementary functions. |
| 3 | Higher order derivative and differential. |
| 4 | Applications of derivative, Basic theorems related to derivative |
| 5 | Examination of functions and drawing of the graphs. |
| 6 | Indefinite integral and its properties. |
| 7 | Variable change method |
| 8 | Midterm |
| 9 | Partial integration method |
| 10 | Integrals of rational and irrational functions. |
| 11 | Binomial integral. Integrals of trigonometric and hyperbolic functions. |
| 12 | Definite integral |
| 13 | Applications and properties of definite integral. |
| 14 | Area account |
| 15 | Volume and spring length |
Textbook or Material
| Resources | Calculus for Engineering Students 1st Edition Fundamentals, Real Problems, and Computers, ELSEVIER, AUGUST 2020 |
Evaluation Method and Passing Criteria
| In-Term Studies | Quantity | Percentage |
|---|---|---|
| Attendance | - | - |
| Laboratory | - | - |
| Practice | - | - |
| Field Study | - | - |
| Course Specific Internship (If Any) | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Seminar | - | - |
| Quiz | - | - |
| Listening | - | - |
| Midterms | 1 | 40 (%) |
| Final Exam | 1 | 60 (%) |
| Total | 100 (%) | |
ECTS / Working Load Table
| Quantity | Duration | Total Work Load | |
|---|---|---|---|
| Course Week Number and Time | 14 | 4 | 56 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 14 | 3 | 42 |
| Midterms | 1 | 20 | 20 |
| Quiz | 0 | 0 | 0 |
| Homework | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Workshop | 0 | 0 | 0 |
| Presentation/Seminar Preparation | 0 | 0 | 0 |
| Fieldwork | 0 | 0 | 0 |
| Final Exam | 1 | 32 | 32 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 150 | ||
| Total Work Load / 30 | 5 | ||
| Course ECTS Credits: | 5 | ||
Course - Learning Outcomes Matrix
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Learning Outcomes | P1 |
|---|---|---|
| O1 | Able to understand derivatives, their geometric meaning and properties, and the derivatives of basic elementary functions. | 5 |
| O2 | Able to understand higher-order derivatives and differentials, applications of derivatives, and fundamental theorems of calculus related to derivatives. | 5 |
| O3 | Able to understand the method of integration by parts and the integrals of rational and irrational functions. | 5 |
| O4 | Able to understand the applications and properties of definite integrals, including area calculation, volume, and arc length. | 5 |
| O5 | Able to understand series, convergence and divergence of series, convergence of positive-term series, the integral test, the limit comparison test, and the limit test. | 5 |