Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
PM1022016954MATHEMATICS IICompulsory125
Level of Course Unit
First Cycle
Objectives of the Course
The goal of the course is to give the fundamental concepts of general mathematics
Name of Lecturer(s)
Yrd.Doç.Dr. Tolga AKTÜRK
Learning Outcomes
1To have a grasp of theoretical and applied knowledge in main fields of mathematics
2To have the ability of abstract thinking
3To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps
4To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life
5To have the qualification of studying independently in a problem or a project requiring mathematical knowledge
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Integral, differential,integrations of trigonometric functions,integral by trigonometric transformations, integrals of powers of trigonometric functions, Riemann sums, the area under a curve, areas between two curves, volume by cross section and shell method, arc lenght of a plane curve, surface area, mean value of a function, moments and centers of mass, Laplace and Fourier transformations, beta and gamma functions, sequences , infinite series , Taylor expantion
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Mean value theorem, increasing and decreasing functions
2Extremum values and first derivative test
3Concavity and reflection points, second derivative test
4L'Hospital rule
5Asymptotes and graph plotting
6Optimization problems, relative ratio
7Indefinite integral and basic integration formulas
8Mid-Term Exam
9Methods of indefinite integration, changing variables method
10Integration by parts and integration by simple fractions
11Definite integral and its properties, the mean value theorem of the integral
12Area under a curve and the volume of a solid of revolution
13Multivariable functions, partial derivatives
14Maximum and minimum, the method of Lagrange multipliers
15Final Exam
16
Recommended or Required Reading
Mustafa BALCI, Genel Matematik 1, Balcı Yayınları 2000. Ahmet KARADENİZ, Yüksek Matematik Volume 1 and volume 2. Earl W. Swokowski, Calculus fifth edition, 1990
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Attending Lectures14570
Problem Solving10220
Self Study5210
Individual Study for Homework Problems5210
Individual Study for Mid term Examination2510
Individual Study for Final Examination31030
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
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29
LO115 2222                      
LO215 2222                      
LO315 2222                      
LO415 2222                      
LO515 2222                      
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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