Computer Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Computer Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Computer 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 | Turkish |
| 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] | 1 | Wednesday 11:00-12:00 |
Course Content
Sequences. Series with positive terms, series with arbitrary terms, absolute and conditional convergence, power series, Taylor and Maclaurin series. Vector calculus. Functions of multiple variables; limits, continuity, partial derivatives, chain rule, directional derivatives, maxima and minima, Lagrange multipliers, Taylor's formula. Double and triple integrals, line integrals, Green's theorem in the plane, Surface area and surface integrals, Divergence and Stokes theorem.
Objectives of the Course
The sequence Math 112-212 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 | Adequate knowledge in mathematics, science and related engineering discipline accumulation; theoretical and practical knowledge in these areas, complex engineering the ability to use in problems. | 5 |
| P2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose | 2 |
| P3 | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose | 4 |
| P4 | Ability to develop, select and use modern techniques and tools for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively | 5 |
| P5 | An ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or disciplinary research topics | 3 |
| P6 | Ability to work effectively in disciplinary and multi-disciplinary teams; individual study skills | 4 |
| P7 | Ability to communicate effectively in verbal and written Turkish; knowledge of at least one foreign language; writing active reports and writing reports, preparing design and production reports, making effective presentations, giving and receiving clear and understandable instructions | 5 |
| P8 | Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew himself continuously | 3 |
| P9 | To act in accordance with ethical principles, professional and ethical responsibility; Information on the standards used in engineering applications | 4 |
| P10 | Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development | 4 |
| P11 | Knowledge of the effects of engineering practices on health, environment and safety in the universal and social dimensions and the problems of the era in engineering; awareness of the legal consequences of engineering solutions | 3 |
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 mathematics knowledge and theorems | P.1.3 | 1 |
| O2 | Knows the applications of mathematics in engineering | P.1.4 | 1 |
| O3 | Knows numerical calculations and analysis | P.1.5 | 1 |
| O4 | Mathematical models of engineering problems are created and simulated | P.1.6 | 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 | Infinite Sequences and Series. |
| 2 | Infinite Sequences and Series. |
| 3 | Infinite Sequences and Series. |
| 4 | Vector-Valued Functions |
| 5 | Vector-Valued Functions |
| 6 | Vector-Valued Functions |
| 7 | Vector-Valued Functions |
| 8 | Functions of Several Variables. |
| 9 | Functions of Several Variables. |
| 10 | Functions of Several Variables. |
| 11 | Multiple Integrals. |
| 12 | Multiple Integrals. |
| 13 | Integration in vector fields |
| 14 | Integration in vector fields |
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 | - | - |
| 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 | 22 | 22 |
| 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: | 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 | Knows basic mathematics knowledge and theorems | 3 |
| O2 | Knows the applications of mathematics in engineering | 4 |
| O3 | Knows numerical calculations and analysis | 1 |
| O4 | Mathematical models of engineering problems are created and simulated | 1 |