Mechanical Engineering
Course Details
KTO KARATAY UNIVERSITY
Faculty of Engineering
Programme of Mechanical Engineering
Course Details
Faculty of Engineering
Programme of Mechanical Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT1102 | Calculus I | 1 | Autumn | 1 | 4+0+0 | 5 | 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 | - |
| Instructor(s) | - |
| Instructor Assistant(s) | - |
Course Content
Cartesian coordinate system, slope and right equations. Functions, limit and continuity. Derivative, derivation rules, chain rule. Change rate, L'hospital rule. Extremum values, mean value theorem. Graph drawing. Optimization problems. Indefinite integral, integration techniques. Definite integral, area, arc length and integral calculation of volumes.
Objectives of the Course
Mat 1102 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 | |
| Specialization / Field Courses | |
| Support Courses | |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
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 |
| 5 | 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 |
| 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 | - | - |
| Field Study | - | - |
| Course Specific Internship (If Any) | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Seminar | - | - |
| Quiz | - | - |
| Listening | - | - |
| Midterms | - | - |
| Final Exam | - | - |
| Total | 0 (%) | |
ECTS / Working Load Table
| Quantity | Duration | Total Work Load | |
|---|---|---|---|
| Course Week Number and Time | 0 | 0 | 0 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 0 | 0 | 0 |
| Midterms | 0 | 0 | 0 |
| 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 | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 0 | ||
| Total Work Load / 30 | 0 | ||
| Course ECTS Credits: | 0 | ||