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 |
|---|---|---|---|---|---|---|---|
| MAT112 | Calculus I | 1 | Autumn | 1 | 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) | Asst. Prof. Sümeyye BAKIM |
| Instructor Assistant(s) | - |
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 Math 131-132 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 | 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 | 1 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 | ||