Mechanical Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechanical Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechanical Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| 99600002 | Calculus I | 1 | Autumn | 1 | 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 | English |
| Methods and Techniques | - |
| Mode of Delivery | Face to Face |
| Prerequisites | - |
| Coordinator | - |
| 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 | Friday 10:00-12:00 |
Course Content
Cartesian coordinate system, slope and line equations. Functions, limit and continuity. Derivative, rules of differentiation, chain rule. Rate of change, L'hospital's rule. Extreme values, mean value theorem. Graphing. Optimization problems. Indefinite integral, techniques of integration. Definite integral, calculation of area, arc length and volumes by integration.
Objectives of the Course
This course is a standard introductory course for basic concepts and methods of analysis and is required for all engineering students. The aim of the course is to improve the mathematics literacy and problem solving abilities of the students.
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 | Adequate knowledge of mathematics, science and mechanical engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex 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 | Knows basic mathematical knowledge and theorems | P.1.1 | 1 |
| O2 | Knows numerical calculations and analysis | P.1.2 | 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 | Cartesian coordinate system, slope and right equations. Functions, graph of function and types of functions |
| 2 | Limit, limit rules, formal definition of limit, unilateral and infinite limits, continuity. |
| 3 | Tangents and derivatives, rules of derivation |
| 4 | Tangents and derivatives, differentiation rules |
| 5 | Derivatives of chain rule, trigonometric, logarithmic and exponential functions |
| 6 | Derivatives of chain rule, trigonometric, logarithmic and exponential functions |
| 7 | Higher order derivatives, logarithmic derivatives, derivatives of closed and parametric functions |
| 8 | Rate of change, ambiguous shapes and L`Hospital rule |
| 9 | Extremum values, Rolle and Mean value theorems |
| 10 | Asymptotes and graphic drawing, optimization problems |
| 11 | Indefinite integral, integration techniques. Definite integral |
| 12 | Basic theorem, area between curves, arc length and surface area of rotating bodies |
| 13 | Volumes of rotational bodies, shell method. |
| 14 | The volume of revolutions, shell method. |
Textbook or Material
| Resources | George B.Thomas, Maurice D. Weir, Joel R.Hass, Thomas'Calculus 11th Edition |
Evaluation Method and Passing Criteria
| In-Term Studies | Quantity | Percentage |
|---|---|---|
| Attendance | - | - |
| Laboratory | - | - |
| Practice | - | - |
| Course Specific Internship (If Any) | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Seminar | - | - |
| Quiz | - | - |
| 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 | 30 | 30 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 148 | ||
| Total Work Load / 30 | 4,93 | ||
| Course ECTS Credits: | 5 | ||
Course - Learning Outcomes Matrix
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Learning Outcomes | P1 |
|---|---|---|
| O1 | Knows basic mathematical knowledge and theorems | 5 |
| O2 | Knows numerical calculations and analysis | 5 |