Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 182001601107 | BASIC MATHEMATICS | Elective | 1 | 1 | 3 |
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Level of Course Unit |
Short Cycle |
Objectives of the Course |
To give basic concepts about mathematics, to give the concepts of limit, continuity, derivative in single variable functions. |
Name of Lecturer(s) |
Prof. Dr. Elman Hazar |
Learning Outcomes |
1 | Defines the increasing and decreasing functions with tangent and normal equation. | 2 | Calculates the limit of indeterminate states by using derivative. | 3 | Defines asymptotes with maximum and minimum functions. | 4 | Explains the curve drawings. | 5 | Solve engineering problems by using derivative. Calculates approximate using differential. | 6 | Define concepts of cluster and number sets. Explain the concepts of identity, equation and inequality. | 7 | Defines the properties of functions and functions. | 8 | Defines trigonometric, inverse trigonometric and hyperbolic functions, Partial functions and specially defined functions (absolute value, exact value, sign functions). | 9 | Explains the concept of limit and makes limit calculation with limit definition. Prove the rules used for limit calculation. | 10 | Defines right and left sided limits. He knows vague situations. | 11 | Defines the concept of continuity in functions and knows types of discontinuity. | 12 | Explain the concept of derivative and make derivative calculations with the definition of derivative. Provides the rules of derivation with the definition of derivative. | 13 | Defines the derivative of trigonometric and inverse trigonometric functions, exponential and logarithmic functions, hyperbolic and inverse hyperbolic functions. | 14 | Calculates higher order derivatives. The parametric equations describe the derivatives of the given functions. Explain the derivative of closed functions. |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Functions. Limit. Continuity, Derivatives and Exercises. Limit values, average value theorem and applications. Graphics. Specific Integral. Area and volume integrals. Indefinite integral. Transandant Functions and Derivatives. L`Hopital` Rule. Methods of integration. Improper integrals. Exercises. |
Weekly Detailed Course Contents |
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1 | Clusters. Number Sets. Equations. Identities. Inequalities.
| | | 2 | Function concept. Function varieties (Polynomial function, rational function, supra and logarithm function and the widest definition of these functions). | | | 3 | Function types (Trigonometric, inverse trigonometric and hyperbolic functions. Partial functions, specially defined functions (Absolute value, exact value, sign functions) | | | 4 | Limit concept and limit calculation. Proof of the rules used for limit calculation. Sandwich theorem. Limits of trigonometric functions. | | | 5 | Right and left sided limits. Uncertain cases (0/0, infinite / infinite, 0.sonless, infinite-infinite, 1 ^ infinite) | | | 6 | Concept of continuity in functions. Types of discontinuity. Properties of continuous functions (Intermediate theorem, absolute maximum and minimum, local maximum and minimum definitions, lar) | | | 7 | Midterm | | | 8 | The concept of derivative and derivative calculus. Derivation of derivative with the definition of derivative rules. Derivative of inverse function. | | | 9 | Derivative of trigonometric and inverse trigonometric functions. Derivative of exponential and logarithm functions. Derivative of hyperbolic and inverse hyperbolic functions. | | | 10 | Higher order derivative. Derivatives of functions given parametric equations. Derivative of closed functions. | | | 11 | Tangent and normal equation. Increasing and decreasing functions. | | | 12 | Indefinite cases (examination with L’Hopital Rule). | | | 13 | Maximum and minimum functions, asymptotes, Curve drawings. | | | 14 | General evaluation and final exam preparation | | |
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Recommended or Required Reading |
1-Matematik Analiz ve Analitik Geometri, Edwards& Penney, Çeviri Editörü Prof.Dr. Ömer Akın
2-Genel Matematik, Prof. Dr. Mustafa Balcı Calculus, Robert Ellis-Denny Gulick
3-Genel Matematik, Prof. Dr. Ekrem Kadıoğlu, Prof. Dr. Muhammet Kamalı
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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 | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 1 | 1 |
Makeup Examination | 1 | 1 | 1 |
Quiz | 2 | 5 | 10 |
Attending Lectures | 14 | 1 | 14 |
Question-Answer | 5 | 5 | 25 |
Self Study | 14 | 1 | 14 |
Homework | 5 | 2 | 10 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 3 | | | | | | | | | | | | | | | | | | | | | | | LO2 | | | | | | | | | | | | | | | | | | | | | | | | LO3 | | | | | | | | | | | | | | | | | | | | | | | | LO4 | | | | | | | | | | | | | | | | | | | | | | | | LO5 | | | | | | | | | | | | | | | | | | | | | | | | LO6 | | | | | | | | | | | | | | | | | | | | | | | | LO7 | 3 | | | | | | | | | | | | | | | | | | | | | | | LO8 | | | | | | | | | | | | | | | | | | | | | | | | LO9 | | | | | | | | | | | | | | | | | | | | | | | | LO10 | | | | | | | | | | | | | | | | | | | | | | | | LO11 | | | | | | | | | | | | | | | | | | | | | | | | LO12 | | | | | | | | | | | | | | | | | | | | | | | | LO13 | | | | | | | | | | | | | | | | | | | | | | | | LO14 | 3 | | | | | | | | | | | | | | | | | | | | | | |
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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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