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FACULTY of ENGINEERING / DEPARTMENT of METALLURGICAL and MATERIALS ENGINEERING

Course Catalog
http://www.muhfak.ktu.edu.tr/metalurji/
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FACULTY of ENGINEERING / DEPARTMENT of METALLURGICAL and MATERIALS ENGINEERING /
Katalog Ana Sayfa
  Katalog Ana Sayfa  KTÜ Ana Sayfa   Katalog Ana Sayfa
 
 
MAT1008Mathematics - II4+0+0ECTS:5
Year / SemesterSpring Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of METALLURGICAL and MATERIALS ENGINEERING
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 4 hours of lectures per week
LecturerDr. Öğr. Üyesi Seda ÖZTÜRK
Co-LecturerOther instructors assigned for the course
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
The course aims to provide basic mathematical tools for engineering students.
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : Analyse problems requiring vector and matrix algebra, including eigenvalue and eigenvector problems1,2
LO - 2 : Solve linear system of qquations1,2
LO - 3 : Analize convergence of sequences and series.1,2
LO - 4 : understand functions of two and three variables and their properties1,2
LO - 5 : know the concepts of limit and continuity of functions of two and three variables1,2
LO - 6 : know the concepts of derivative and apply it to engineering problems1,2
LO - 7 : know the concepts of integration and apply it to engineering problems1,2
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

 
Contents of the Course
Vektors, vektor algebra, lines and planes in space, matrices, system of linear equations, matrix algebra, Gauss elimination, eigenvalues and eigenvectors. Sequences, convergence of squences, series, convergence tests(integral ,comparision, ratio, and root tests). Power series and their convergence, Taylor series. Polar coordinates. Vector valued functions, curvature and acceleration. Multi-valued functions, limit, continuity, partial derivatives, chain rule, directional derivative, extreme values for functions of two variables, Lagrange multipliers. Double integrals, transformation of domains in double integrals, integration in polar coorrdinates, appli,cation of double integrals(mass, moment). Line integrals.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1
 Week 2
 Week 3
 Week 4
 Week 5
 Week 6
 Week 7
 Week 8
 Week 9Mid-term exam
 Week 10
 Week 11
 Week 12
 Week 13
 Week 14
 Week 15
 Week 16Final exam
 
Textbook / Material
1Dennis G. Zill, Warren S. Wright, Matematik Cilt I-II(Calculus Early Transcendentals, 4. basımdan çeviri) Çeviri Editörü: Prof. Dr. İsmail Naci Cangül, Nobel Yayınevi, 2011.
2C. Henry Edwards, David E. Penney: Calculus, Matrix Version (6th Edition), Prentice Hall, 2003.
 
Recommended Reading
1Thomas, G.B., Finney, R.L.. (Çev: Korkmaz, R.), 2001. Calculus ve Analitik Geometri, Cilt I-II, Beta Yayınları, İstanbul.
2Robert A. Adams, Christopher Essex: Kalkülüs Eksiksiz Bir Ders Cilt I- II (Calculus a Complete Course 7. Baskıdan çeviri), Palme Yayıncılık, Ankara, 2012 (Çevirenler: Prof. Dr. Mehmet Terziler, Yrd. Doç. Dr. Tahsin Öner)
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 50
End-of-term exam 16 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 4 14 56
Sınıf dışı çalışma 5 14 70
Arasınav için hazırlık 10 1 10
Arasınav 2 1 2
Dönem sonu sınavı için hazırlık 10 1 10
Dönem sonu sınavı 2 1 2
Total work load150