ME151 Engineering Mathematics I

5 ECTS - 3-0 Duration (T+A)- 1. 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 ME151
Name Engineering Mathematics I
Semester 1. 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 the main concepts of Calculus and their applications

Course Content

limit, derivative, integral and graphing functions

Course Precondition

none

Resources

Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill

Notes

Course notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Learning the main concepts of Calculus
LO02 function's fundamentals
LO03 some function types and their properties: composite, polynomial and rational functions.
LO04 Knows limit and its applications
LO05 plotting graphs of functions
LO06 yardımcı çizim tekniklerinin öğrenilmesi
LO07 doğruların denklemlerini yazabilme
LO08 learning graphing and limits of trigonometric functions.
LO09 derivative and its applications in engineering
LO10 graphing with the derivative
LO11 knows definite integral
LO12 topics in differential Calculus


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
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 3
PLO04 Bilgi - Kuramsal, Olgusal Students become equipped with a variety of skills and knowledge regarding engineering techniques 4
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 3
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 3
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students use English effectively for technical or non-technical topics orally or in wirtten form.
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students become effective in using computer, computer-aided drafting, design, analysis, and presentation 4
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 2
PLO12 Yetkinlikler - Öğrenme Yetkinliği Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative 3


Week Plan

Week Topic Preparation Methods
1 Calculus and its main concepts: Limit, derivative, and Integral Course Notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
2 Fundamentals of functions / Domain and ranges / intervals, inequalities previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
3 Composite functions/ polynomials / rational functions previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
4 Limit previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
5 Graphing of functions: Symmetry, intercepts,horizontal/vertical asymptotes previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
6 Applications on graphing functions. previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
7 Additional tools for graphings: Vertical/horizontal siftings, Stretching/Flattening/x-axis reflection rules previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
8 Mid-Term Exam previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
9 Mid-term exam previous courses Ölçme Yöntemleri:
Yazılı Sınav
10 A review of trigonometry: Trigonometric functions, their graphs and related limits. previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
11 Continuous functions and properties previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
12 Derivative previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
13 Applications of derivative previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
14 The definite integral previous courses Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
15 Topics in differential Calculus 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