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 İSMİHAN GÜNAL |
Instructor(s) of the Course Unit | Assist.Prof. MELİS BOLAT-Assist.Prof. SEMANUR SARIÇAM |
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 |
KNOWLEDGE |
|||||||
---|---|---|---|---|---|---|---|
Theoretical |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
In matters related to the construction area have adequate infrastructure, related to these theoretical, numerical and practical knowledge to provide
|
4 |
KNOWLEDGE |
|||||||
---|---|---|---|---|---|---|---|
Factual |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Math, science, and engineering issues related to the field to gain basic theoretical and practical knowledge.
|
5 |
SKILLS |
|||||||
---|---|---|---|---|---|---|---|
Cognitive |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Required for applications related to the field of modern techniques, tools and informatics technologies to be able to select and use effectively
|
3 |
SKILLS |
|||||||
---|---|---|---|---|---|---|---|
Practical |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Conducts research on application issues related to the field and selects appropriate up-to-date technologies.
|
3 | |||||
2 |
Technical drawing, computer aided drafting, simulation programs using to design and various software using the space-related systems and components to choose, basic dimensioning make the accounts, architectural, structural design and details ability to draw to win.
|
1 |
OCCUPATIONAL |
|||||||
---|---|---|---|---|---|---|---|
Autonomy & Responsibility |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Space-related applications to produce solutions when faced with unforeseen situations, teams or individual to take responsibility gain the ability to do work.
|
5 | |||||
2 |
Professional and ethical responsibility to gain awareness
|
5 |
OCCUPATIONAL |
|||||||
---|---|---|---|---|---|---|---|
Learning to Learn |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Aware of the necessity of lifelong learning; follow developments in science and technology and continuous self-renewal gain awareness.
|
4 | |||||
2 |
Structural problems with the detection, identification, decoding skills in making and various software using the space-related systems and components to choose, basic dimensioning make the accounts, architectural, structural design and details ability to draw to win.
|
2 | |||||
3 |
making related to the construction business planning, process tracking, auditing, gain the ability to accelerate the process
|
4 | |||||
4 |
Basic knowledge and skills acquired in the field, using the ability to interpret and evaluate data, identify problems, analyze the evidence-based solutions to have the ability to develop.
|
4 | |||||
5 |
Field applications, being able to use tools and equipment in the field and more users the ability to
|
0 | |||||
6 |
Industry and services by examining the processes involved in the application of skills to win.
|
0 |
OCCUPATIONAL |
|||||||
---|---|---|---|---|---|---|---|
Communication & Social |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Areas that require a basic level of computer software and hardware to gain the ability to use
|
3 | |||||
2 |
Occupational safety, health, environmental protection and quality of information to be conscious.
|
0 | |||||
3 |
Effective communication techniques and innovations in the field to follow the dominant level to have knowledge of a foreign language.
|
1 |
OCCUPATIONAL |
|||||||
---|---|---|---|---|---|---|---|
Occupational and/or Vocational |
|||||||
Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Being able to follow technological developments related to the field, enterprising, innovative and current problems of our country and the world to know,
|
4 | |||||
2 |
Defines and analyzes problems and develops solution proposals by using the basic knowledge and skills acquired in the field.
|
4 |
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 |