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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 170300401201 | ANALYSIS II | Compulsory | 1 | 2 | 7 |
| Level of Course Unit | First Cycle | Objectives of the Course | Indefinite integrals, integration methods. Definite integrals, upper and lower Darboux totals and integrals of ladder functions, Riemann integrals, Riemann integrable function classes, fundamental theorems of integral calculus. Calculation of some specific limits by means of definite integral, calculation of area, arc length, volume and area of rotational surfaces as application of specific integrals. Infinite series, convergence and divergence of series, positive term series and convergence criteria, alternating series, absolute and conditional convergence, any term series and Abel partial sum. Convergence of infinite product and giving the relevant criteria. | Name of Lecturer(s) | Dr. Öğr. Üyesi Hasan KARA | Learning Outcomes | 1 | Students who successfully complete this course will have the necessary mathematical background. |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | Analysis I course | Recommended Optional Programme Components | | Course Contents | Indefinite integrals, integration methods. Definite integrals, upper and lower Darboux totals and integrals of ladder functions, Riemann integrals, Riemann integrable function classes, fundamental theorems of integral calculus. Calculation of some specific limits by means of definite integral, calculation of area, arc length, volume and area of rotational surfaces as application of specific integrals. Infinite series, convergence and divergence of series, positive term series and convergence criteria, alternating series, absolute and conditional convergence, any term series and Abel partial sum. Convergence of infinite products and related criteria. | Weekly Detailed Course Contents | |
1 | Indefinite integrals, integration methods. | | | 2 | Indefinite integrals, integration methods, variable change, partial integration | | | 3 | Certain integrals, upper and lower Darboux sums | | | 4 | integrals of ladder functions | | | 5 | Riemann integrals | | | 6 | Integral function classes in Riemann meaning, basic theorems of integral calculus. | | | 7 | Calculation of some specific limits with the help of definite integral | | | 8 | Midterm | | | 9 | Applications of definite integral, Area calculation | | | 10 | Spring length and volume calculation, rotational surface area calculation | | | 11 | Infinite series, convergence and divergence of series | | | 12 | positive term series and convergence criteria, alternating series, absolute and conditional convergence | | | 13 | Convergence of infinite products and related criteria | | | 14 | Exercises | | | 15 | Final Exam | | |
| Recommended or Required Reading | Kadıoğlu Ekrem,Kamali Muhammet; Genel Matematik , Atatürk Üni. Erzurum 2016.
Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara. | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
| Workload Calculation | |
Midterm Examination | 1 | 1.5 | 1.5 | Final Examination | 1 | 2 | 2 | Attending Lectures | 8 | 6 | 48 | Problem Solving | 10 | 4 | 40 | Self Study | 14 | 4 | 56 | Individual Study for Mid term Examination | 7 | 5 | 35 | Individual Study for Final Examination | 13 | 3 | 39 | |
Contribution of Learning Outcomes to Programme Outcomes | | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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