Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Analysis II MAT124 Turkish Compulsory 2. Semester 4 + 2 5.0 6.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Lecturing
Course Coordinator Prof. Dr. İlhame AMİRALİ
Instructor(s)
Goals To provide students the information aboutthe concept of integration, integration techniques, the applications of integrals, sequences and series.
Course Content Indefinite Integrals, Integral Methods (Changes of Variables, Integration by Parts, Reduction Formulas), Binom Integral and Its Properties, The Integral of Root Funcitons, Introduction to Definite Integral, The Integral of Step Functions, The Riemann Integral and Its Properties, Fundamental Theorem of Integral and Other Theorems,The Application of Definite Integrals (Area, Arc-Length and Volume Calculations), Series, The Concepts of Convergence and Divergence of Series, Convergence Tests,
Learning Outcomes
# Öğrenme Kazanımı
1 Be able to understand the fundemental principal of defined integral
2 Be able to use integral in real life applications
3 Be able to understand series and their convergence at series
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Indefinite Integrals Class Hours
2. Week Integral Methods: Changes of Variables, Integration by Parts Class Hours
3. Week Integration Techniques: Partial Fractions, Reduction Formulas Class Hours
4. Week Binom Integral and Its Properties, The Integral of Root Funcitons Class Hours
5. Week Introduction to Definite Integral, The Integral of Step Functions Class Hours
6. Week The Riemann Integral and Its Properties Class Hours
7. Week The Riemann Integral and Its Properties Class Hours
8. Week midterm Class Hours
9. Week Fundamental Theorem of Integral and Other Theorems Class Hours
10. Week The Application of Definite Integrals: Area and Arc-Length Calculation Class Hours
11. Week The Applicaiton of the Definite Integrals: Volumes by Integration Class Hours
12. Week The Applicaiton of the Definite Integrals: Area of Surfaces of Revolution Class Hours
13. Week The Concept of Series Class Hours
14. Week Convergence Tests Class Hours
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
The Matrix for Course & Program Learning Outcomes
No Program Requirements Level of Contribution
1 2 3 4 5
1 Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines,
1 Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines,
2 Knowing how to obtain information geared towards lifelong learning,
3 Doing effective educational planning, organizing and evaluating based on theoretical and practical content matter and in relation to the needs of the learners,
5 Analyzing studies in the field with a scientific perspective, assessing the findings and offering solutions,
6 Acquiring academic literacy and minimum B1 level competence at a foreign language in order to pursue the global developments in the area of study,
7 Pursuing the scientific discussions in the field and interpreting them through scientific examination,
8 Forming scientific study platforms in order to solve the problems in practice,
9 Preparing and conducting solution-based projects in response to social problems in an effort to contribute to the School-Society collaboration
10 Following the developments in the field through professional activities such as literature reviews, seminars, conferences and workshops, and sharing them with other expert and non-expert individuals,
11 Being an innovative and self-confident intellectual with a sense of society, environment, social justice and respect for ethical values.
12 To be able to analyse the notions and ideas in the field by using scientific methods, to identify problems, and to develop solutions based on proofs and researches
13 To be able to gain ability of doing academic research
14 To be able to work interactively
15 To be able gain necessary computer software for further studies
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3
PY1 4 4 4
PY2 3 3 3
PY3 4 4 4
PY5 4 4 4
PY6 1 1 1
PY7 4 4 4
PY8 2 2 2
PY9 4 4 4
PY10 4 4 4
PY11 2 2 2
PY12 5 5 5
PY13 3 3 3
PY14 5 5 5
PY15 1 1 1
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 6 84
Sınavlar
Midterm 1 1 2 2
Homework 1 14 1 14
Homework 2 10 1 10
Quiz 1 1 1 1
Final 1 2 2
Practice 14 1.5 21
Practice End-Of-Term 14 1 14
Classroom Activities 14 1 14
Total Workload 162
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 6.0