Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

Description of Individual Course Units

Course Unit CodeCourse Unit TitleType of CourseYearSemesterECTS
TBMAT104 Mathematics-II 927006 1 2 5
Level of Course Unit
First Cycle
Objectives of the Course
To teach applications of mathematics
Name of Lecturer(s)
Matematik Bölümü Öğretim Üyeleri
Learning Outcomes
  1. Learns the concept of integral in functions.
  2. Will be able to understand two and three variable functions and their properties.
  3. Will be able to know the concept of derivative in two and three variable functions and will be able to apply it to engineering problems.
  4. Can do various applications of integral. apply to engineering problems.
  5. Learn two and three dimensional space vectors.
  6. Learn the concept of limit and continuity in two and three variable functions.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Language of Instruction
Turkish
Work Placement(s)
None
Course Contents
Extremums of functions, mean value and Rolle's theorem, applications, first and second differentiation condition for extremum, absolute extremum, concavity and curve plot, applied optimization problems, Newton's method, indefinite integral, change of variable, partial integration, partial fractions, special change of variable, trigonometric integration, Riemann's definite integral, limits of finite sums, fundamental theorem of calculus and properties of definite integral, calculation of area, volume calculation by shell and disk method, arc length, calculation of surface area, moment and calculation of center of mass
Weekly Detailed Course Contents
Week Theoretical Practice Laboratory
1.Extremums of functions
2.Mean value and Rolle's theorem, applications
3.First and second differentiation condition for extremum, absolute extremum, concavity and curve plot
4.Applied optimization problems, Newton's method, indefinite integral
5.Change of variable, partial integration, partial fractions
6.Special change of variable, trigonometric integration
7.Riemann's definite integral, limits of finite sums
8.Fundamental theorem of calculus and properties of definite integral
9.Midterm
10.Calculation of area
11.Volume calculation by shell and disk method
12.Arc length
13.Calculation of surface area
14.Moment
15.Calculation of center of mass
16.Final
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight (%)
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight (%)
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Workload Calculation
ActivitiesQuantityTime(hours)Total Workload(hours)
Midterm Examination122
Final Examination133
Individual Study for Mid term Examination16060
Individual Study for Final Examination16060
SUM125