Information Package / Course Catalogue
General Mathematics II
Course Code: MAT174
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

The aim of this course is to give concept of integral to make connection between definite integrals and indefinite integrals, and to understand applications of integral, and also is to give matrices and linear equation systems.

Course Content

Definite integrals, indefinite integrals, applications of integrals, matrices, linear equation systems

Name of Lecturer(s)
Ins. Nihal GÜNEL
Lec. Ahmet ÜNLÜ
Learning Outcomes
1.Defines the concept of integral and applies basic integration rules.
2.Uses definite and indefinite integrals to solve problems involving area and volume.
3.Solves linear equation systems using matrix and algebraic methods.
4.Identifies differential equations and applies basic solution techniques.
5.Evaluates system solutions using the concepts of matrices and determinants.
Recommended or Required Reading
1.Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer-Verlag(1980)
2.Çoker ., Özer O., Taş K. ‘’ Genel Matematik’’, Cilt 1 (1996)
3.Thomas, G.B. and Finney, R.L.,”Calculus and Analytic Geometry”, 9th ed.,Addison Wesley,(1998)
4.Prof.Dr.Mustafa Balcı “Genel Matematik I” Balcı Yayınları
5.Doç.Dr.Cevdet Cerit,”Yüksek Matematik I”
6.Yrd.Doç.Dr.Gonca Güngöroğlu, Prof.Dr. Abdullah Harmancı “Lineer Cebir dersleri problemler ve çözümleri”
Weekly Detailed Course Contents
Week 1 - Theoretical
Riemann integral and its properties
Week 2 - Theoretical
Theorems of integrals
Week 3 - Theoretical
Method of change of variables and partial integral in definite integral
Week 4 - Theoretical
Definition of indefinite integral and methods of finding primitive
Week 5 - Theoretical
Trigonometric integrals
Week 6 - Theoretical
Rational functions integrals
Week 7 - Theoretical
Area in definite integral
Week 8 - Theoretical
Volume in definite integral
Week 9 - Theoretical
Areas of surfaces of revolution and lenght of arc.
Week 10 - Theoretical
Definition of matrix
Week 11 - Theoretical
Types of matrices
Week 12 - Theoretical
Determinants
Week 13 - Theoretical
Methods of solving linear equation systems
Week 14 - Theoretical
Methods of solving linear equation systems
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory144398
Midterm Examination110212
Final Examination115217
TOTAL WORKLOAD (hours)127
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
OÇ-1
2
4
1
2
2
3
3
3
5
4
OÇ-2
2
4
1
2
2
3
3
3
5
4
OÇ-3
2
4
1
2
2
3
3
3
5
4
OÇ-4
2
4
1
2
2
3
3
3
5
4
OÇ-5
2
4
1
2
2
3
3
3
5
4
Adnan Menderes University - Information Package / Course Catalogue
2026