Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Mathematics II MAT112 Turkish Compulsory 2. Semester 5 + 1 5.0 6.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery
Course Coordinator Prof. Dr. FUAT USTA, Prof. Dr. Mehmet Zeki SARIKAYA, Doç. Dr. İzzettin DEMİR
Instructor(s)
Goals
Course Content Indefinite Integrals, Definite Integrals and Their Applications: Area, Volume, Arc Length, and Surface Area Calculations; Sequences, Series, and Their Convergence
Learning Outcomes
# Öğrenme Kazanımı
0 Knows the concept of indefinite integral.
0 Applies the integrating methods.
0 Understands the applications of definite integral.
0 Knows the generalized integrals.
0 Interprets the properties of the generalized integrals.
0 Knows the multi-variable functions.
0 Solves tthe problems about limit and continuity in multi-variable functions.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Indefinite Integral, Rules of Indefinite Integration, Method of Substitution, Method of Integration by Parts Research Other Activities Interview Preparation, After Class Study Practice Class Hours
2. Week Method of Partial Fractions, Integration of Trigonometric Expressions Other Activities Interview Research Practice Preparation, After Class Study Class Hours
3. Week Integration of Irrational Algebraic Expressions, Binomial Integrals Practice Research Other Activities Interview Preparation, After Class Study Class Hours
4. Week Definite integral and its properties Class Hours Practice Other Activities Interview Research Preparation, After Class Study
5. Week Area Calculation Preparation, After Class Study Practice Class Hours Research Other Activities Interview
6. Week Volume Calculation Interview Other Activities Research Practice Preparation, After Class Study Class Hours
7. Week Surface Area and Arc Length Interview Other Activities Preparation, After Class Study Research Practice Class Hours
8. Week Midterm
9. Week Generalized Integrals and Criteria for Convergence Other Activities Research Practice Preparation, After Class Study Class Hours Interview
10. Week Generalized Integrals and Criteria for Convergence Preparation, After Class Study Class Hours Interview Other Activities Practice Research
11. Week Convergence of sequences Interview Practice Other Activities Research Preparation, After Class Study Class Hours
12. Week Series and convergence tests Practice Interview Other Activities Research Preparation, After Class Study Class Hours
13. Week Series and convergence tests Interview Other Activities Research Class Hours Preparation, After Class Study Practice
14. Week Power Series, Taylor Series Interview Class Hours Preparation, After Class Study Practice Research Other Activities
*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.
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3 DK4 DK5 DK6 DK7
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010.
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 4 56
Ders Dışı
Practice 14 1 14
Sınavlar
Midterm 1 1 15 15
Quiz 1 1 4 4
Quiz 2 1 4 4
Final 1 18 18
Classroom Activities 14 3 42
Total Workload 153
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 6.0