ME152 Engineering Mathematics II

5 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit
Information About Course

Information
Goal, Content & Resources
Course Learning Outcomes
Relation with Program Learning Outcome
Week Plan
Student Workload - ECTS

Information

Code ME152
Name Engineering Mathematics II
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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HÜSEYİN AKILLI


Course Goal

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 Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
2 Finding antiderivatives: Integral formulas and substitution technique previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
3 Partial differentiation technique previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
4 Antiderivatives of trigonometric functions previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
5 Trigonometric substitution previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
6 Integration of rational functions previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
7 Integration of rational functions 2 previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
8 Mid-Term Exam lecture notes Ölçme Yöntemleri:
Yazılı Sınav
9 Applications of definite Integrals: Computation of areas previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
10 Determination of centroids of areas previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
11 Computation of volumes of a solid of revolution previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
12 Computation of arc length and surface area of a solid of revolution previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
13 Solution of linear equations by Cramer's rule. previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
14 Polar coordinates previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
15 Parametric equations previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
16 Term Exams previous courses Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams previous courses Ölçme Yöntemleri:
Yazılı Sınav


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