TÜRKÇE
ENGLISH
Information
| Code | ME152 |
| Name | Engineering Mathematics II |
| Term | 2022-2023 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN AKILLI |
| Course Instructor |
Prof. Dr. HÜSEYİN AKILLI
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Learning integral techniques and integral applications; applications in polar coordinates; solving a set of linear equation; concept of curvature and its computation
Course Content
Techniques for finding antiderivatives; Applications of definite integral; Polar coordinates; Solution of a set of linear equations; Parametric equations; Curvature
Course Precondition
none
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | learning general solution techniques for integrals problems |
| LO02 | applications of the definite integral in engineering: area, volume, surface area, arc length |
| LO03 | solution of a linear equation set |
| LO04 | applications of integrals in polar coordinates |
| LO05 | parametric equations and curvature |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Student become equipped with the basic knowledge of math, science and engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Students gain a command of basic concepts, theories and principles in mechanical engineering | 1 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Students become equipped with a variety of skills and knowledge regarding engineering techniques | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique | 2 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Students take initiative in identification, design, development and use of a product or production process. | 2 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Students become aware of the necessity of lifelong learning and continuously self-renew | 5 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students use English effectively for technical or non-technical topics orally or in wirtten form. | 2 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students become effective in using computer, computer-aided drafting, design, analysis, and presentation | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | General procedure to find the antiderivatives | Course Notes | |
| 2 | Finding antiderivatives: Integral formulas and substitution technique | previous courses | |
| 3 | Partial differentiation technique | previous courses | |
| 4 | Antiderivatives of trigonometric functions | previous courses | |
| 5 | Trigonometric substitution | previous courses | |
| 6 | Integration of rational functions | previous courses | |
| 7 | Integration of rational functions 2 | previous courses | |
| 8 | Mid-Term Exam | lecture notes | |
| 9 | Applications of definite Integrals: Computation of areas | previous courses | |
| 10 | Determination of centroids of areas | previous courses | |
| 11 | Computation of volumes of a solid of revolution | previous courses | |
| 12 | Computation of arc length and surface area of a solid of revolution | previous courses | |
| 13 | Solution of linear equations by Cramer's rule. | previous courses | |
| 14 | Polar coordinates | previous courses | |
| 15 | Parametric equations | previous courses | |
| 16 | Term Exams | previous courses | |
| 17 | Term Exams | previous courses |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||