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MAT1008Mathematics - II4+0+0ECTS:5
Year / SemesterSpring Semester
Level of CourseFirst Cycle
Status Compulsory
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 4 hours of lectures per week
LecturerProf. Dr. Erhan COŞKUN
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 1Vectors and vector algebra, lines ann planes in space.
 Week 2Linear system of equations, matrices and matrix algebra.
 Week 3Gauss elimination method, eigenvalues and eigenfunctions.
 Week 4Squences and their convergence, series and their convergence.
 Week 5Convergence tests for series and power series.
 Week 6Taylor and Maclaurin series
 Week 7Conics, polar coordinate system
 Week 8Calculus of vector-valued functions
 Week 9Mid-term exam
 Week 10Multivariable functions, limit, continuity and partial derivatives.
 Week 11Chain rule, directional derivatives and gradient vectors
 Week 12Extreme values, absolute maxima and minima,Lagrange multipliers (Single constraint case)
 Week 13Double integrals and their applications (Area)
 Week 14Substitutions in Double Integrals, Double integrals in Polar Coordinates and polar curves and their applications (mass and density, center of mass ).
 Week 15General assessment
 Week 16Final exam
Textbook / Material
1Dennis G. Zill, Warren S. Wright, Matematik Cilt 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.
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