INMZ104 Mathematics 2

6 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code INMZ104
Name Mathematics 2
Term 2024-2025 Academic Year
Semester 2. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Belirsiz
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HATİCE ÇAĞATAY
Course Instructor
1


Course Goal / Objective

The purpose of this course is to teach necessary mathematical techniques used in solving engineering problems.

Course Content

Methods of integration, application of integration, area under the curve, volume of a solid of revolution, polar coordinates, sequences and series.

Course Precondition

None

Resources

Prof. Dr. Mustafa Balcı, Genel Matematik 1, Balcı yayınları, 2008.

Notes

Dennis G. Zill, Warren S. Wright, Calculus, Nobel yayınnları, 2013.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 To find the relationship between derivative and integral
LO02 To comprehend the rules and technics of integrals
LO03 To calculate area, the arc length, volume of revolution by using integration
LO04 To calculate area, the arc length, area of revolution by using integration in Polar coordinant system
LO05 To give the applications of series
LO06 To solve differantial equations by using series


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has the basic knowledge of math, science and civil engineering 5
PLO02 Bilgi - Kuramsal, Olgusal Has a good commman of basic concepts, theories and principles in civil engineering.
PLO03 Bilgi - Kuramsal, Olgusal Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions 4
PLO04 Bilgi - Kuramsal, Olgusal Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations.
PLO05 Bilgi - Kuramsal, Olgusal Selects and uses the modern techniques and tools necessary for engineering practice
PLO06 Bilgi - Kuramsal, Olgusal Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments
PLO07 Bilgi - Kuramsal, Olgusal Gains the abiltiy to work effectively as a member in interdisciplinary teams 2
PLO08 Bilgi - Kuramsal, Olgusal Identifies proper sources of information and databases, reaches them and uses them efficiently.
PLO09 Bilgi - Kuramsal, Olgusal Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself.
PLO10 Bilgi - Kuramsal, Olgusal Uses the computers and information technologies related with civil engineering actively.
PLO11 Bilgi - Kuramsal, Olgusal Gains the ability to communicate effectively both orally and in writing.
PLO12 Bilgi - Kuramsal, Olgusal Communicates using technical drawing
PLO13 Bilgi - Kuramsal, Olgusal Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields.
PLO14 Bilgi - Kuramsal, Olgusal Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
PLO15 Bilgi - Kuramsal, Olgusal Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues.
PLO16 Bilgi - Kuramsal, Olgusal Has an awareness of professional and ethical responsibility
PLO17 Bilgi - Kuramsal, Olgusal Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications.


Week Plan

Week Topic Preparation Methods
1 Indefinite integrals, integration methods, integration by substitution, integration by parts Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 Reduction formulas, partial fraction, trigonometric integral Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
3 İntegration of rational functions, trigonometric substitution Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
4 Definite integrals, properties of definite integrals Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
5 Methods of integration, area under a curve Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
6 Volume by the method of cross sections, Volume by the method of revolution and Volume by the method of discs Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
7 Volume by the method of shells Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
8 Mid-Term Exam Lecture Notes and Related Resource Books Ölçme Yöntemleri:
Yazılı Sınav
9 Lenght of a plane curve, area of a surface of revolution Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
10 Moment and The WEIGHT center, limit of a function by using integrals Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
11 Improper integrals Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
12 Polar coordinates, curve sketching in polar coordinates Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
13 Area in polar coordinates, lenght of a polar curves, surface area in polar coordinates Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
14 Sequences, convergence of sequences, Newton's method for finding the roots of equation Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
15 Series, positive series and convergence tests for these series, power series, Taylor series Lecture Notes and Related Resource Books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
16 Term Exams Lecture Notes and Related Resource Books Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Lecture Notes and Related Resource Books 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) 13 4 52
Assesment Related Works
Homeworks, Projects, Others 6 4 24
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 16 16
Total Workload (Hour) 146
Total Workload / 25 (h) 5,84
ECTS 6 ECTS

Update Time: 21.05.2024 05:40