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MATHEMATICS II PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MTH106 MATHEMATICS II 2 5 4 6

GENERAL INFORMATION

Language of Instruction : English
Level of the Course Unit : BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course : Compulsory
Mode of Delivery of the Course Unit -
Coordinator of the Course Unit Assist.Prof. OĞUZHAN ÖZTAŞ
Instructor(s) of the Course Unit Assist.Prof. DENİZ ALTUN-Assist.Prof. MEHMET ARSLAN-Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI-Assist.Prof. TARIK ARABACI
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: To teach the students real functions, trigonometric and exponential functions, limit and derivative concepts and analysis, indefinite and definite integrals and solutions.
Contents of the Course Unit: Real Functions, Trigonometric and Exponential Functions, Limit and Derivative Concepts and Analysis, Indefinite and Definite Integrals and Solutions.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

The students who take the course will be able to; I. Know trigonometric, exponential and logarithmic functions. II. Know and develop limit and derivative concepts. III. Able to perform applications about limit and derivative. Can achieve solutions for indefinite and definite integrals.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 Literature Research Definition and Scope of Course Expression
2 Literature Research Real Numbers, Complex Numbers and Related Problem and Solutions Expression
3 Literature Research Identities, Algebraic Equations and Related Analyzes Expression
4 Literature Research Limit, Limit Rules, Calculation of Limit Values of a Function Expression
5 Literature Research Uncertain Cases at Limits, Applications of L'Hospital Rule. Expression
6 Literature Research Algebraic and Geometric Meanings of Derivative, Rules of Derivation, Expression
7 Literature Research Derivatives of Trigonometric Functions and Applications Expression
8 - MID-TERM EXAM -
9 Literature Research Derivatives of Trigonometric Functions and Applications Expression
10 Literature Research Derivatives of Transcendental Functions, Problem Solutions of These Subject Expression
11 Literature Research Definition of Integral, Formulas, Integration Methods Expression
12 Literature Research Integral Applications by Simple Fractions Method Expression
13 Literature Research Integral Applications by Change of Variables Method Expression
14 Literature Research Integral of Transcendental Functions and Related Analyzes Expression
15 Literature Research Definition of The Definite integral, Formulas and Methods Expression
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Temel ve Genel Matematik, H. Hilmi Hacısalihoğlu, Mustafa Balcı, Ankara, 1996.
Yüksek Matematik Problemleri, A. Karadeniz, Çağlayan Kitabevi, İstanbul, 2003.
Diferansiyel ve İntegral Hesap, W. A. Granville, P. F. Smith, W. R. Longley. Çeviren: Naci İskender, İstanbul, 1954.

ASSESSMENT

Assessment & Grading of In-Term Activities Number of Activities Degree of Contribution (%) Description
Level of Contribution
0 1 2 3 4 5

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES

KNOWLEDGE

Theoretical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.
2
Designs a computer-aided conceptual model with modern techniques.

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.
2
Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
3
Determines and uses the necessary information technologies in an efficient way for engineering applications.

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
2
Possess the ability to conduct effective individual study.
3
Takes responsibility as a team work and contributes in an effective way.

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT

Workload for Learning & Teaching Activities

Type of the Learning Activites Learning Activities (# of week) Duration (hours, h) Workload (h)
Lecture & In-Class Activities 14 5 70
Preliminary & Further Study 14 2 28
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Final Exam 1 2 2
Preparation for the Final Exam 1 25 25
Mid-Term Exam 1 2 2
Preparation for the Mid-Term Exam 1 20 20
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 32 0 147
Total Workload of the Course Unit 147
Workload (h) / 25.5 5,8
ECTS Credits allocated for the Course Unit 6,0