TÜRKÇE
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Information
| Code | MAT104 |
| Name | Mathematic II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Ön Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Mühendis YUSUF POLAT |
| Course Instructor |
1 2 Öğr. Gör.Dr. DİLER DOĞRUOL (B Group) (Ins. in Charge) |
Course Goal / Objective
To create the necessary and adequate mathematical foundation by teaching the subjects in the course efficiently. To understand mathematics subjects in vocational courses better and to use mathematical subjects they learn in their profession.
Course Content
Preliminary info, functions, limit and continuity, derivative, application of derivative, indefinite integral, integration methods, properties of definite integral, related theorems, applications of integral, complex numbers, matrices, analytic geometry and trigonometry and angle concepts.
Course Precondition
No Prerequisites for the Course
Resources
G. B. Thomas, M. D. Weir, J. R. Hass, Thomas Kalkülüs 12. Baskı, Cilt 1, Pearson Yayınları, Çeviri Editörü: Mustafa Bayram 2) Stewart, J., Kalkülüs, TÜBA yayınları
Notes
lecturer's notes, Prof. Dr. Levent SANGÜN
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns functions concepts and function types |
| LO02 | Learns complex numbers and finds their operations |
| LO03 | Learns the definition of trigonometry and applies on coordinate system |
| LO04 | Learns the definions of limit and continuity and applies the rules of taking derivative |
| LO05 | Compares the meaning of the derivative implies speed in physical sense and slopes in geometric sense.Examines the derivative of Trigonometric and Exponential Functions. |
| LO06 | Applies the rules of taking integral |
| LO07 | Learns the definition of matrix, matrix types, properties of matrices and finds matrix operations |
| LO08 | Learns the definiton of determinant and applies to solve equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Communicates effectively with all partners on a sectoral basis. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | has the basic knowledge necessary to develop computer software, to establish algorithm, sequential and simultaneous flow logic | |
| PLO03 | Yetkinlikler - Alana Özgü Yetkinlik | Designs systems for fundamental problems in microcontrollers, embedded systems and analog/digital electronics. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Uses basic software related to information and communication technologies, specific to his profession. | |
| PLO05 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Applies the software and hardware developments in the field of Computer Programming independently. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Explains the necessary methods for solving well-defined problems in the field of Computer Technologies and Programming. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Has the basic knowledge level required to develop software specific to web, mobile and other electronic platforms. | 3 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Develops software for desktop and other environments. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes an active role in project development processes, independently or as part of a group, within a planned project. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knows project planning, development and implementation processes. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Performs data storage, editing, querying, etc. operations in computer and network environment. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | It has the ability to solve unpredictable hardware and software problems. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Codes software components that have been analyzed and the algorithm has been prepared. | 2 |
| PLO14 | Bilgi - Kuramsal, Olgusal | Knows the methods to be used in software development. | 2 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Constantly follows current innovations and developments in the field of information technologies. | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Communicates verbally and in writing in a foreign language. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | It has the phenomenon of the necessity of moral and ethical behaviors related to the information technology profession. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Has the necessary awareness of occupational safety in her field. | |
| PLO19 | Beceriler - Bilişsel, Uygulamalı | It uses operating systems with administrative features. | |
| PLO20 | Bilgi - Kuramsal, Olgusal | Have basic knowledge about entrepreneurship, career management and lifelong learning. | |
| PLO21 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has environmental awareness, environmental sensitivity, basic knowledge about waste storage and safety. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definiton of Function Domain, Codomain and Range Sets Piecewise Function Absolute Value Function | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Function Operations Function Types(unit , constant, bijection,into) Function Graphics | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | Definition of Complex Number Powers of i Number Equilibrium of two complex numbers | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Complex Plane Conjugate of a Complex number Absolute Value of a Complex Number Four Operations with Complex Numbers | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Trigonometric Ratios of Acute Angles sin,cos,cot,tan Functions and their properties Relationship between Radian and Degree | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Definion of limit and continuity at a point Right-hand and Left-hand limit concepts Limits of Polynomial Functions Limit Graphics | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Definition and Properties of Derivative | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | None | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivation of Trigonometric Functions Derivation of Exponential Functions Applications of Derivatives | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Definition and Properties of Integral Definite Integral, Indefinite Integral Partial Integration and Change of Variable | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Integral of Trigonometric Functions Integral of Exponential Functions | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Applications of Integral | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Definition of Matrix Matrix Types (Zero, Square, Unit) Transpose of a Matrix Matrix Operations Matrix Power | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Determinant of Matrix Minor(Cofactor) Determinant Properties | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Addition Matrix (Adjoint Matrix) Inverse of a Matrix by Multiplication | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | None | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | None | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||