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CALCULUS I PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT117 CALCULUS I 1 3 2 4

GENERAL INFORMATION

Language of Instruction : Turkish
Level of the Course Unit : ASSOCIATE DEGREE, TYY: + 5.Level, EQF-LLL: 5.Level, QF-EHEA: Short Cycle
Type of the Course : Compulsory
Mode of Delivery of the Course Unit -
Coordinator of the Course Unit Lecturer LEVENT BAKIR
Instructor(s) of the Course Unit Assist.Prof. CEYDA CEVAHİR YILDIZ
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: In this course, it is aimed to provide students with basic mathematical knowledge and application skills for solving mathematical problems.
Contents of the Course Unit: Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of separators, simple algebraic fractions / fractions; Graphical representation; properties and uses of graphs, equation / function graphs; Arithmetic terms and signs, methods of multiplication and division, fractions / fractions and decimals, factors and factors, weights, measures and conversion factors, ratio and proportion, means and percentages, areas and volumes, squares, cubes, square and cube roots.

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

It offers analytical solutions to the problems it encounters.
Makes calculations for the solution of technical problems.
Makes geometric area and volume calculations.
Analyzes and evaluates problems by using materials related to mathematics built on competences gained in secondary education.
Evaluating the concepts, theories and data in mathematical science with scientific methods, determines the problems and issues encountered, analyzes, makes discussions, and develops suggestions based on evidence and research.
Have the knowledge of computer software required by the science of mathematics.
Have social, scientific and ethical values in the stages of collecting, interpreting and announcing data related to the science of mathematics.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 - 1. Performs four operations with natural numbers, taking into account the priority of the transaction. 1 2. Performs operations to apply common factor bracketing and distribution feature in natural numbers. 1 3. Solves problems that require four operations with natural numbers. Lecture, Question and Answer, Sampling, Problem Solving
2 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Interprets integers and shows them on the number line. 1 2. Determines and makes sense of the absolute value of an integer. 1 3. Compares and ranks integers. 1 4. Does addition and subtraction with integers; solves related problems. 1 5. Understands that subtraction of integers means adding with the reverse sign of the minus sign. Lecture, Question and Answer, Sampling, Problem Solving
3 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Divides a natural number into a unit fraction and a unit fraction into a natural number, which makes sense. 1 2 Decimal notation decodes the given numbers. 1 3. Decimal representations convert the given numbers to rational numbers. 1 4. Makes and makes sense of multiplying a natural number and a fraction. 1 5. Solves problems that require processing with fractions. One Lecture, Question and Answer, Sampling, Problem Solving
4 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. express the rule of arithmetic sequences by letter; finds the desired term of the string whose rule is expressed with a letter. 1 2. Writes an algebraic statement suitable for a verbally given situation and a verbal statement suitable for a given algebraic statement. 1 3. Calculates the values of the algebraic expression for different natural number values that the variable will take. 1 4. Explain the meaning of simple algebraic expressions. 1 5. Makes addition and subtraction with algebraic expressions. One Lecture, Question and Answer, Sampling, Problem Solving
5 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Uses ratio in comparing multiplicities and shows ratio in different ways. 1 2. Determines the ratio of two multiples in the same or different units to each other. 1 3. Solves the problems about line and inverse proportion. 1 4. Finds the quantity corresponding to a specified percentage of a plurality; finds a given percentage of the given multiplicity. 1 5. Calculates one multiplicity as a percentage of another plurality. One Lecture, Question and Answer, Sampling, Problem Solving
6 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Uses ratio in comparing multiplicities and shows ratio in different ways. 1 2. Determines the ratio of two multiples in the same or different units to each other. 1 3. Solves the problems about line and inverse proportion. 1 4. Finds the quantity corresponding to a specified percentage of a plurality; finds a given percentage of the given multiplicity. 1 5. Calculates one multiplicity as a percentage of another plurality. One Lecture, Question and Answer, Sampling, Problem Solving
7 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Recognizes the units of measurement of area, converts the units of m2 – km2, m2 – cm2 – mm2 to each other. 1 2. Recognizes the land measurement units and associates with standard area measurement units and solves the problems related to the area. 2 3. Finds the area of the triangle. 1 4. Finds the area of the square. 1 5. Finds the area of various polygons. 2nd Lecture, Question and Answer, Sampling, Problem Solving
8 - MID-TERM EXAM -
9 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Recognize standard volume measurement units and convert between cubic centimeter, cubic decimeter, cubic meter units. 1 2. Creates the volume relation of the rectangular prism; solves related problems. 1 3. Estimates the volume of the rectangular prism. 1 4. Understands that the number of cubic units placed in a rectangular prism without any gaps is the volume of that object; calculates the volume of a given object by counting unit cubes. 1 5. Finds the volume of the cube Lecture, Question and Answer, Sampling, Problem Solving
10 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. Recognize standard volume measurement units and convert between cubic centimeter, cubic decimeter, cubic meter units. 1 2. Creates the volume relation of the rectangular prism; solves related problems. 1 3. Estimates the volume of the rectangular prism. 4. Recognizes the liquid measurement units as quantity and converts them into each other. 5. Relate volume measurement units and liquid measurement units. Lecture, Question and Answer, Sampling, Problem Solving
11 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. Recognizes liquid measurement units as quantity and converts them into each other. 1 2. Relates volume measurement units and liquid measurement units. 1 3. Recognizes the aviation dimensions. 1 4. Recognize the units of pressure, speed and healing. 1 5. Solves aviation problems. One Lecture, Question and Answer, Sampling, Problem Solving
12 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. Calculates integer powers of integers, writes them as exponentials. 1 2. Analyzes the decimal representations of numbers by using integer powers of 10. 1 3. Understands the basic rules of exponential expressions, creates expressions equivalent to each other. 1 4. Operates with exponential equations. 1 5. List the exponential expressions. One Lecture, Question and Answer, Sampling, Problem Solving
13 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. Determines the relationship between perfect square natural numbers and their square roots. 1 2. Makes multiplication and division operations in square root expressions. 1 3. Performs four operations with cube rooted expressions. 1 4. Operates with nth degree roots. 1 5. Finds conjugates in rooted expressions. 1 6. Sort in rooted expressions. One Lecture, Question and Answer, Sampling, Problem Solving
14 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. Recognizes the graph and shows its types. 1 2. Draws a picture, figure, line, column, circle graph 2 3. Interprets the graphs, performs operations with their algebraic meanings. 1 4. Applies statistical comments with graphics. 1 5. Makes the graphical interpretation of new data sets. One Lecture, Question and Answer, Sampling, Problem Solving
15 It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret. 1. Recognizes the graph and shows its types. 1 2. Draws a picture, figure, line, column, circle graph 2 3. Interprets the graphs, performs operations with their algebraic meanings. 1 4. Applies statistical comments with graphics. 1 5. Makes the graphical interpretation of new data sets. One Lecture, Question and Answer, Sampling, Problem Solving
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Başay, İ.B. and Öztürk, M. (2019). Emergency Math TYT Question Bank. Emergency Publications. ISBN: 978-605-673-927-9. Yeni Mahalle/Ankara
Tasarı Academic Publications. (2019). DGS Lecture. Kayhan Printing. ISBN: 978-605-9697-73-6. Beylikduzu / Istanbul
Akdeniz, H. (2019). Mathematics Question Bank Special for Our Teacher. Mf Kazanim Publishing. ISBN: 978-605-82271-8-7. Yeni Mahalle/Ankara
Koç, M. (2019). Active Mathematics 0 to Beginners. Comment Printing. ISBN: 978-605-197-149-0. Sincan/Ankara
Özcan, S. and Özcan, K. (2018). Mathematics from Zero to Infinity. ISBN: 978-605-83093-0-2. Yenibosna/Istanbul

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
De you with the basic concepts in the field of Information olmak.genel shipping terms , visit the properties of the types of ships visiting Port Management, Inc. Be able to use the ship to recognize measure Inc.
1
2
Maritime Considering the history and heritage of today's maritime and port management to discuss developments in the industry
1

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To be able to discuss the developments in today s maritime and port industry, to draw conclusions from events and facts and to predict their effects on the field.
1

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Maritime and Port Management in the field of basic knowledge and concepts to terms with be.general shipping , ship types and features, to recognize and use to measure ship
1

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To have basic knowledge and concepts in the field of Port Management. To have knowledge to take part in port operations, management, logistics and marketing.
1

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To know the basic knowledge and concepts in the fields of business administration, management, customs, foreign trade and economy. To be able to use these concepts in the fields of Marine and Port Management.
1

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To know the maritime markets and to understand their cyclical relations with each other. To be able to evaluate the effects and results according to the developments.
1
2
To be able to follow national and international developments by knowing transportation modes, economy and policies. To be able to predict the effects on maritime and related sectors.
1

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To have basic knowledge and concepts in the field of Maritime Management. To be able to recognize and use general shipping terms, ship types and characteristics, ship dimensions. In addition, to understand the relations between Ship Management and Agency, Forwarder and other companies, to be able to operate in these areas.
1
2
Knowing the ship needs, being able to manage the necessary procurement and purchasing processes according to these needs. To be able to coordinate the transportation of the supplied needs to the ship.
1

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To have a command of the concepts and issues related to port management and port operations and to have the ability to apply them.
1
2
To be able to discuss current developments in the field in the light of maritime history.
1

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 2 28
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) 14 1 14
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 14 1 14
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 1 6 6
Mid-Term Exam 1 1 1
Preparation for the Mid-Term Exam 1 8 8
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 60 0 100
Total Workload of the Course Unit 100
Workload (h) / 25.5 3,9
ECTS Credits allocated for the Course Unit 4,0