Civil Engineering
Course Details
KTO KARATAY UNIVERSITY
Faculty of Engineering
Programme of Civil Engineering
Course Details
Faculty of Engineering
Programme of Civil Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT212 | Calculus II | 1 | Spring | 2 | 4+0+0 | 4 | 6 |
| 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 | Asst. Prof. Sümeyye BAKIM |
| Instructor(s) | - |
| Instructor Assistant(s) | - |
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 | |
| Specialization / Field Courses | |
| Support Courses | |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
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 | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Quiz | - | - |
| 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 | ||