Electrical and Electronics Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Electrical and Electronics Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Electrical and Electronics 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. Sümeyye BAKIM |
| Instructor Assistant(s) | - |
Course Instructor(s)
| Name and Surname | Room | E-Mail Address | Internal | Meeting Hours |
|---|---|---|---|---|
| Asst. Prof. Sümeyye BAKIM | A-130 | [email protected] | 7483 | Wednesday 11:00-12:00 |
Course Content
Functions, limits, continuity and derivatives. Applications. Extreme values, the Mean value Theorem and its applications. L`Hopital`s rule. Graphing. Optimization problems. The indefinite integral. Techniques of integration. The definite integral. Area and volume as integrals.
Objectives of the Course
The sequence Calculus I-II is the standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. Students will develop their reading, writing and questioning skills in Mathematics.
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 | Solid knowledge base in mathematics, natural sciences, and engineering-related subjects, along with the ability to solve complex engineering problems using this knowledge. | 5 |
Course Learning Outcomes
| Upon the successful completion of this course, students will be able to: | |||
|---|---|---|---|
| No | Learning Outcomes | Outcome Relationship | Measurement Method ** |
| O1 | Basic mathematics knowledge and theorems are known. | P.1.74 | 1 |
| O2 | Knows the applications of mathematics in engineering | P.1.75 | 1 |
| O3 | Knows numerical calculations and analysis | P.1.76 | 1 |
| O4 | Mathematical models of engineering problems are created and simulated | P.1.77 | 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. Functions. Identifying functions and shifting. |
| 2 | Cartesian coordinate system. Functions. Identifying functions and shifting. |
| 3 | Limits, limit laws, precise definition of limit, one-sided Limits, infinite limits. Continuity. |
| 4 | Limits, limit laws, precise definition of limit, one-sided Limits, infinite limits. Continuity. |
| 5 | Tangents and Derivatives. Differentiation rules. |
| 6 | Derivatives of trigonometric, logarithmic and exponential functions. |
| 7 | Chain rule, implicit differentiation. Indeterminate forms and L'Hospital's Rule. |
| 8 | Extreme values. Extreme Value, Rolle's and Mean Value Theorems. |
| 9 | Extreme values. Extreme Value, Rolle's and Mean Value Theorems. |
| 10 | Curve Sketching. Optimization Problems. |
| 11 | Indefinite Integrals. Techniques of integration. The Definite Integral. |
| 12 | Indefinite Integrals. Techniques of integration. The Definite Integral. |
| 13 | The Fundamental Theorem of Calculus. Area between curves and area of a surface of revolution. |
| 14 | Volumes of solids of revolution, volumes by cylindrical shells, arc length. |
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 | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| 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 | 3 | 42 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 14 | 3 | 42 |
| Midterms | 1 | 32 | 32 |
| 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 | 34 | 34 |
| 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 | Basic mathematics knowledge and theorems are known. | 5 |
| O2 | Knows the applications of mathematics in engineering | 5 |
| O3 | Knows numerical calculations and analysis | 5 |
| O4 | Mathematical models of engineering problems are created and simulated | 5 |