Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
182001601107BASIC MATHEMATICSElective113
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
1Defines the increasing and decreasing functions with tangent and normal equation.
2Calculates the limit of indeterminate states by using derivative.
3Defines asymptotes with maximum and minimum functions.
4Explains the curve drawings.
5Solve engineering problems by using derivative. Calculates approximate using differential.
6Define concepts of cluster and number sets. Explain the concepts of identity, equation and inequality.
7Defines the properties of functions and functions.
8Defines trigonometric, inverse trigonometric and hyperbolic functions, Partial functions and specially defined functions (absolute value, exact value, sign functions).
9Explains the concept of limit and makes limit calculation with limit definition. Prove the rules used for limit calculation.
10Defines right and left sided limits. He knows vague situations.
11Defines the concept of continuity in functions and knows types of discontinuity.
12Explain the concept of derivative and make derivative calculations with the definition of derivative. Provides the rules of derivation with the definition of derivative.
13Defines the derivative of trigonometric and inverse trigonometric functions, exponential and logarithmic functions, hyperbolic and inverse hyperbolic functions.
14Calculates higher order derivatives. The parametric equations describe the derivatives of the given functions. Explain the derivative of closed functions.
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
WeekTheoreticalPracticeLaboratory
1Clusters. Number Sets. Equations. Identities. Inequalities.
2Function concept. Function varieties (Polynomial function, rational function, supra and logarithm function and the widest definition of these functions).
3Function types (Trigonometric, inverse trigonometric and hyperbolic functions. Partial functions, specially defined functions (Absolute value, exact value, sign functions)
4Limit concept and limit calculation. Proof of the rules used for limit calculation. Sandwich theorem. Limits of trigonometric functions.
5Right and left sided limits. Uncertain cases (0/0, infinite / infinite, 0.sonless, infinite-infinite, 1 ^ infinite)
6Concept of continuity in functions. Types of discontinuity. Properties of continuous functions (Intermediate theorem, absolute maximum and minimum, local maximum and minimum definitions, lar)
7Midterm
8The concept of derivative and derivative calculus. Derivation of derivative with the definition of derivative rules. Derivative of inverse function.
9Derivative of trigonometric and inverse trigonometric functions. Derivative of exponential and logarithm functions. Derivative of hyperbolic and inverse hyperbolic functions.
10Higher order derivative. Derivatives of functions given parametric equations. Derivative of closed functions.
11Tangent and normal equation. Increasing and decreasing functions.
12Indefinite cases (examination with L’Hopital Rule).
13Maximum and minimum functions, asymptotes, Curve drawings.
14General evaluation and final exam preparation
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
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination111
Makeup Examination111
Quiz2510
Attending Lectures14114
Question-Answer5525
Self Study14114
Homework5210
TOTAL WORKLOAD (hours)76
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr