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 |
|---|---|---|---|---|---|---|---|
| 99600004 | Calculus II | 1 | 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 | English |
| Methods and Techniques | - |
| Mode of Delivery | Face to Face |
| Prerequisites | Calculus I dersinden başarılı olmak |
| 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
Sequences. Series, power series, Taylor and Maclaurin series. Three-dimensional space and vectors. Functions of several variables, partial derivatives and the chain rule, directional derivatives, extreme values. Multiple integrals. Line integrals.
Objectives of the Course
Calculus II is the continuation of Calculus I 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 | |
| O2 | Knows numerical calculations and analysis | P.1.2 | |
| O3 | Knows the applications of mathematics in engineering | P.1.3 | |
| ** 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 | Series |
| 2 | Series and convergence tests |
| 3 | Alternative series, absolute and conditional convergence |
| 4 | Alternating series, absolute and conditional convergence |
| 5 | Power series, Taylor and Maclaurin series |
| 6 | Power series, Taylor and Maclaurin series |
| 7 | Straight planes and vectors in three dimensional space. Inner product and vector product, quadric surfaces |
| 8 | Vector valued and multivariable functions |
| 9 | Partial derivatives and chain rule |
| 10 | Tangent planes and differentials. Gradient and directional derivatives |
| 11 | Extremum values, saddle point and Lagrange factors |
| 12 | Two and threefold integrals |
| 13 | Double and triple integrals |
| 14 | Curvilinear integrals |
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 |
| O3 | Knows the applications of mathematics in engineering | 5 |