Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 9900000232 | MATEMATİK - II | Compulsory | 1 | 2 | 6 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
This lecture deals with the applications of derivative in curve scetching and some limits. Also definite and indefinite integrals and some of their applications |
Name of Lecturer(s) |
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Learning Outcomes |
1 | Verilen bir fonksiyonun grafiğini çizmeyi bilir. | 2 | Belirsiz şekilleri tanır, limitlerini alır. | 3 | Diferensiyel ve lineer yaklaşım kavramlarını bilir, bileşke fonksiyonların diferensiyelini bulunur | 4 | Antitürev kavramını açıklar. Belirsiz integrali çözer | 5 | İntegral hesabın temel teoremini bilir. Belirli integralin; alan, hacim, yay uzunluğu, yüzey alanı hesaplamaları gibi uygulamaları hakkında bilgi sahibidir. Genelleştirilmiş integral kavramını açıklar. | 6 | Knows to scetch the graph of a given function | 7 | Recognizes the indeterminite forms and evaluates the limits | 8 | Knows the definitions of the differential and linear approximation. Obtains the differential of composition of functions. | 9 | Explains the concept of antiderivative. Evaluates the indefinite integral | 10 | Knows fundamental theorem of integral calculus and has a knowledge some applications of the definite integral such as finding area, volume, arc length, surface area |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
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Weekly Detailed Course Contents |
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1 | Concavity, inflection point. Indeterminate forms (L’Hospital's rule) | | | 2 | Asymptotes, curve scetching | | | 3 | Curve scetching | | | 4 | Differential and linear approximation | | | 5 | Antiderivative. Basic properties of integrals. Methods of integrations (Integration by substitution, integration by parts) | | | 6 | Integration of rational functions. Trigonometric substitutions | | | 7 | Integration of irrational functions. | | | 8 | The Definite Integral. Fundamental theorem of integral calculus | | | 9 | Midterm | | | 10 | Volumes by the method of cross sections, solids of revolution- disks and the method of cylindrical shells. | | | 11 | Improper integrals (I and II. Types | | | 12 | Tests for convergence of the improper Integrals for types I and II. | | | 13 | Double integrals | | | 14 | Area and volume by double integration. | | | 15 | | | | 16 | | | |
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Recommended or Required Reading |
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Planned Learning Activities and Teaching Methods |
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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 | | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 6 | 6 |
Attending Lectures | 14 | 8 | 112 |
Self Study | 5 | 5 | 25 |
Individual Study for Mid term Examination | 4 | 5 | 20 |
Individual Study for Final Examination | 3 | 6 | 18 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 2 | 5 | 3 | | 2 | 4 | | | | | | | | | | | | | | | LO2 | 3 | 2 | 4 | | 4 | 1 | | | | | | | | | | | | | | | LO3 | 4 | 2 | 3 | | 4 | 4 | | | | | | | | | | | | | | | LO4 | 4 | 1 | 1 | | 1 | 3 | | | | | | | | | | | | | | | LO5 | 3 | 5 | 5 | | 1 | 2 | | | | | | | | | | | | | | | LO6 | | | | | | | | | | | | | | | | | | | | | LO7 | | | | | | | | | | | | | | | | | | | | | LO8 | | | | | | | | | | | | | | | | | | | | | LO9 | | | | | | | | | | | | | | | | | | | | | LO10 | | | | | | | | | | | | | | | | | | | | |
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* 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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