| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Mathematics II | MAT 116 | 2 | 3 + 0 | 3 | 5 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Yrd.Doç.Dr. SERPİL HALICI |
| Course Lecturers | |
| Course Assistants | Research asistants of Mathematics Department |
| Course Category | Other |
| Course Objective | To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables |
| Course Content | Indefinite integral, methods of the indefinite integrals,Properties of the Riemann integral and related theorems,Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area ),The Generalized integrals and properties, functions of several variables |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | He/ she recognizes the concept of the indefinite integral | Problem Solving, Lecture, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 2 | He/ she applies the integral methods | Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, | Homework, Testing, |
| 3 | He/ she recognizes the definite integral | Problem Solving, Lecture, Drilland Practice, Question-Answer, Discussion, | Testing, Homework, |
| 4 | He/ she recognizes the generalized integrals | Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, | Homework, Testing, |
| 5 | He/ she interprets the properties of the generalized integrals | Problem Solving, Question-Answer, Lecture, Discussion, Drilland Practice, | Homework, Testing, |
| 6 | He/she recognizes functions of several variables | Drilland Practice, Discussion, Lecture, Question-Answer, Problem Solving, | Testing, Homework, |
| 7 | He/she solves limit and continuity at the function of several variables | Question-Answer, Problem Solving, Lecture, Drilland Practice, Discussion, | Homework, Testing, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Indefinite integrals, methods of integrals, changing variables,partial integration. | |
| 2 | Seperation of the simple fractions, integral of trigonometric functions | |
| 3 | Integral of Irrational algebric functions, Binom integrals | |
| 4 | Integrals of the radical expressions, Definition of definite integral | |
| 5 | The problems of causing definite integral, Properties of definite integral | |
| 6 | The method of changing variable, partial integral | |
| 7 | Generalized integrals, nonspecific integrals, random examples | |
| 8 | The convergence criterias of generalized integrals | |
| 9 | Mid-term exam | |
| 10 | Calculation of area, calculation of length of arc | |
| 11 | Calculation of volume | |
| 12 | Computation of surface area | |
| 13 | The domains of functions of several variables | |
| 14 | Limits and continuity of functions of several variables |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To evaluate technical concept by using scientific methods, to definite technical problems and to analysis them, to develop solutions related with investigation and proof in Construction Technologies. | X | |||||
| 2 | To give knowledge and methods of the solutions to the qualified or unqualified groups about the technological subjects of and methods o | X | |||||
| 3 | In Construction Technologies to develop design projects and to achieve its skills and ability, reading the projects done before and to control them | ||||||
| 4 | To realize and perform experimental and field studies and to control of them in the Construction Technologies. | ||||||
| 5 | To achieve and develop of skills about the techniques of wall, frame work, insulation, steel plate and to control of them done before in Construction Technologies. | ||||||
| 6 | To find out the land for applying of the construction systems, to measurement and | ||||||
| 7 | To know the process of the applying of constructions systems and to achieve enough knowledge and ability in order to repair or mended of the construction equipments | ||||||
| 8 | To know foreign language in order to communicate other colleagues in the Construction Technologies. | ||||||
| 9 | To achieve and learn enough knowledge about work safety , occupational health, social safety and environmental parameters in the Construction Technologies. | ||||||
| 10 | To be enterprising, competitor, organizer and social in the Construction Technologies. | ||||||
| 11 | X | ||||||
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 12 |
| 1. Ödev | 6 |
| 2. Kısa Sınav | 12 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 1 | 16 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 5 | 10 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 10 | 10 |
| Total Workload | 83 | ||
| Total Workload / 25 (Hours) | 3.32 | ||
| dersAKTSKredisi | 5 | ||