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MATHEMATICS II PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT126 MATHEMATICS II 2 3 3 7

GENERAL INFORMATION

Language of Instruction : Turkish
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. KADİR MERSİN
Instructor(s) of the Course Unit Assist.Prof. DENİZ ALTUN-Assist.Prof. SERKAN ÇAKMAK
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: The aim of this course, which is a continuation of Mathematics I course for International Trade students, is to teach theoretical information such as derivative and integral based on the concepts and methods learned in Mathematics I course and to show the application of theoretical knowledge in international trade.
Contents of the Course Unit: Linear algebra - matrices, vectors, limit and applications, derivative and applications, integral and applications

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

Performs operations on the matrix. (Application, Blooms' 3)
Defines Echelon Form of Matrix, can count Elementary Row Operations. (Knowledge, Blooms' 1)
Converts a given matrix into row Echelon Form. Finds the inverse of the Square Matrix. (Application, Blooms' 3)
Finds solution set of linear equation systems with Gauss-Jordan Elimination Method. (Application, Blooms' 3)
Analyze the linear independence of the given vectors. (Analysis, Blooms' 4)
Finds the inverse of a given square matrix with the help of a determinant and obtains the solution of the linear equation system with Cramer's rule. (Application, Blooms' 3)
Calculates Marginal revenue, marginal cost and maximum profit by using derivatives. (Analysis, Blooms' 4)
Uses integration methods, shows the consumer and producer surplus on the graph and finds its value. (Insight, Blooms' 2)(Analysis, Blooms' 4)

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 Reading Business Applications of Limit, Continuous Compound Interest Lecture&Question and Answer&Discussion
2 Reading Business Applications of Derivative, Marginal Revenue and Marginal Cost Concepts Lecture&Question and Answer&Discussion
3 Reading Antiderivative, Integration Methods, 1-Substitution Method Lecture&Question and Answer&Discussion
4 Reading 2-Partial Integration Method 3-Integration with Partial Fractions Method Lecture&Question and Answer&Discussion
5 Reading Definite Integral Lecture&Question and Answer&Discussion
6 Reading Integral Area Account Lecture&Question and Answer&Discussion
7 Reading Consumer and Producer Surplus Lecture&Question and Answer&Discussion
8 Reading Linear Equations and Joint Solutions, Zero Profit and Market Equilibrium Lecture&Question and Answer&Discussion
9 Reading Matrices and Operations on Matrices, Matrix Inverse and Echelon Form Definitions Lecture&Question and Answer&Discussion
10 - MID-TERM EXAM -
11 Reading Systems of Linear Equations, Gauss-Jordan Elimination Method Lecture&Question and Answer&Discussion
12 Reading Finding the Inverse Matrix Lecture&Question and Answer&Discussion
13 Reading Vectors and Vector Operations, Geometric Interpretation of Vector Operations Lecture&Question and Answer&Discussion
14 Reading Linear Independence, Determinants, Determinant of 2x2 and 3x3 Type Matrices, Calculation of Determinant with Minors Lecture&Question and Answer&Discussion
15 Reading Adjoint Matrix of a Square Matrix, Finding the Inverse of the Matrix with the Adjoint Matrix, Cramer's Rule Lecture&Question and Answer&Discussion
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Didem TETİK KÜÇÜKELÇİ, Deniz ALTUN, Yıldız AYDIN, Nesibe MANAV MUTLU, Matematik: İktisadi ve İdari Bilimler Fakülteleri İçin, İGÜ Yayınları
Kline, M. (1999). Calculus : An Intuitive and Physical Approach. New York, United States: Dover Publications Inc.
Morgan, F. (2012). Calculus. Williamstown, Massachusetts: Createspace.
Spivak, M. (2006). Calculus. Cambridge, United Kingdom: Cambrıdge Unıversıty Press, 3rd Edition.

ASSESSMENT

Assessment & Grading of In-Term Activities Number of Activities Degree of Contribution (%) Description Examination Method
Mid-Term Exam 1 30 Classical Exam
Short Exam 1 20
Final Exam 1 50 Classical Exam
TOTAL 3 100
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
To explain the basic concepts and theories associated with the field of Logistics Management.

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To relate concepts and cases in the field of Logistics Management with other fields in Social Sciences
2
To make scientific and interdisciplinary research about the cases in the field.

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To draw conceptual and theoretical connections between past and present trade and logistics – transportation procedures and to make forecasts for the future

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To make literature review for analyzing cases in the field of Logistics Management and to use this information for personal studies
2
To use the latest technology for making descriptive and exploratory research and to use this information for personal studies.

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To conduct a field-specific study individually and to complete it with discipline and responsibility.
2
To assume duties and responsibilities in a team work as leader or team member and to fulfil them flawlessly.

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To analyze data and findings in the field of Logistics Management with respect to cause-effect relations and critical perspective.
2
To identify gaps in the theory and practice of Logistics Management and to offer solutions for each.
3
To develop ideas as to how to use the information related to the field of Logistics Management in professional life.

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To convey information related with the field of Logistics Management by using effective presentation and communication techniques.
2
To use field-specific information for creation of various projects, activities and social responsibility programmes in the field of Logistics Management
3
To conduct literature review, follow the recent developments and produce written and oral works in a foreign language

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To respect social, cultural, scientific and ethical norms and values in the processing and dissemination of data.
2
To follow latest developments in the field and direct personal studies accordingly within the framework of the lifelong learning principle.

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 3 42
Preliminary & Further Study 13 2 26
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 6 3 18
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 1 1
Preparation for the Final Exam 6 10 60
Mid-Term Exam 1 1 1
Preparation for the Mid-Term Exam 3 10 30
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 44 0 178
Total Workload of the Course Unit 178
Workload (h) / 25.5 7
ECTS Credits allocated for the Course Unit 7,0