TÜRKÇE
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Information
| Code | TBZ101 |
| Name | Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Ön Lisans Dersi |
| Type | Normal |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Öğr. Gör. MEHMET ÜLGÜ |
| Course Instructor |
Öğr. Gör. MEHMET ÜLGÜ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Learning of the Basic Mathematical Operations
Course Content
Algebra, Polynomials and their operations, Ratio and proportion and their aplications, Equations, Inequalities, Sigma symbol, product symbol, Sequences, limited sequences and constant sequence, operations of the sequences, Aritmetic sequences, geometric sequences, geometric series and their sums, Fundamentals of geometry, polygons, circle and disk, Geometric objects, coordinate systems, conics, Fundamentals of trigonometry, Trigonometric functions, Functions and their operations, function types, Parabolas and their graphs.
Course Precondition
No preconditions
Resources
Instructor Lecture Notes
Notes
Basic Math 1
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the basic concepts. |
| LO02 | Express the exponential number concept and apply its operations. |
| LO03 | Express the concept of rooted number and apply its operations. |
| LO04 | Knows the definition of the cluster, subset-sub-set, makes the separation of the universal cluster. The intersection on the cluster represents the difference operations. |
| LO05 | Apply the separation method factorization. |
| LO06 | Solves and models first and second order equations. |
| LO07 | Knows the definition of absolute value and solves its equations. |
| LO08 | Section 1 Define inequality and spacing concepts. |
| LO09 | Section 2 Define inequality and spacing concepts. |
| LO10 | Refers to ratio and proportion conceps and solves problems. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Uses mathematics, basic sciences and technical knowledge in the field of Electricity Production, Transmission and Distribution. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Compares the qualities of basic electrical and electronic elements to decide on suitable equipment. | 4 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Determines the fault in the field using the necessary measuring devices and methods. | 4 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Performs analysis by making connections of electrical circuits. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | It uses components that provide energy types and transformations in project development and problem solving. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Designs and analyzes electrical circuits using computer programs related to his/her field in line with technological developments. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Develops computer software for applications in the field by following developments in programming languages. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Controls a system or process with microprocessor-based control devices. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Performs maintenance, repair and assembly operations related to its field. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Establishes cause and effect relationships in the field of profession in the light of the theoretical and experimental knowledge acquired. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Communicates effectively and works independently in a multi-disciplinary team. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | She/He constantly improves herself in matters related to her profession in order to provide the quality service that the sector needs. | |
| PLO13 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses information and communication technologies in the field effectively. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Have knowledge and awareness of occupational safety, occupational health, first aid and environmental protection. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Respects historical values, has social responsibility, universal, social and professional ethical awareness. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic Concepts: Digit, natural number, counting numbers, integers, sequential full numbers single- double numbers rational numbers, irrational numbers, real (real) numbers | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 2 | Basic Concepts: Digit analysis and base arithmetic, division - divergence, prime numbers, factorial, OBEB-OKEK | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 3 | Exponential Numbers: Definition and characteristics of exponential numbers, four operations in exponential numbers | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 4 | Rooted Numbers: Definition and properties of rooted numbers, four roots in rooted numbers, transition rooted numbers to roots | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Rooted Numbers: Converting exponential numbers to root numbers, taking the number out of roots, equations with root numbers | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 6 | Clusters: Cluster definition, subset - subset of subsets / sets of subsets, universal clusters of a cluster, operations on clusters | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Factor Factor: Common multiplier parenthesis method, grouping by multiplying method, multiplication method by using identities, factoring by adding and subtracting the method | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Factorization: Common multiplier parenthesis method, grouping by multiplying method, multiplication method by using identities, factoring by adding and subtracting the method | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 10 | First Order Equations: First order equations, equations using equations, first order equations with two unknowns and systems of equations | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Second Order Equations: Definition of quadratic equations, solving equations by factorization, decoding the formula | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Second Order Equations: Solution of equations which can be transformed into second order equations, formation of second order equation given roots | Research on the subject. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Absolute Value: Absolute value definition absolute value equation solutions | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 14 | Inequality: Deciding the range (open, closed, half open) range on the number line, the inequality equation solutions and the solution set | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 15 | Ratio-Proportion: Ratio - proportion concepts, proportional types (true, reverse) ratio - proportional problems | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 108 | ||
| Total Workload / 25 (h) | 4,32 | ||
| ECTS | 4 ECTS | ||