BBZ107 Mathematics I

6 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code BBZ107
Name Mathematics I
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Belirsiz
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. GÜZİN YÜKSEL
Course Instructor Ayşe Gül KAPLAN (A Group) (Ins. in Charge)


Course Goal / Objective

The main objective of the course is to make the students form a mathematical background by instructing required information about relation,function, limit, continuity, derivative.

Course Content

In this course, real numbers, their properties, functions, limit, continuity, basic properties of continuous functions, derivatives and applications, graph drawing, maximum minimum calculation, logarithm, exponential function, inverse trigonometric functions, L'Hospital's Rule are covered.

Course Precondition

None

Resources

Ayşe Peker Dobie, Matematik I Çözümlü Problemleri

Notes

Kenneth A. Ross, Elementary Analysis:The Theory of Calculus, Springer –Verlag(1980) . Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Recognizes number sets.
LO02 Recognizes functions.
LO03 Calculates the limits of functions.
LO04 Calculates the derivative of functions.
LO05 Draws graphs of functions.
LO06 Recognizes the properties of functions.
LO07 Recognizes special functions.
LO08 Calculates Taylor's formula.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Gain comprehensive knowledge of fundamental concepts, algorithms, and data structures in Computer Science.
PLO02 Bilgi - Kuramsal, Olgusal Learn essential computer topics such as software development, programming languages, and database management
PLO03 Bilgi - Kuramsal, Olgusal Understand advanced computer fields like data science, artificial intelligence, and machine learning.
PLO04 Bilgi - Kuramsal, Olgusal Acquire knowledge of topics like computer networks, cybersecurity, and database design.
PLO05 Beceriler - Bilişsel, Uygulamalı Develop skills in designing, implementing, and analyzing algorithms 4
PLO06 Beceriler - Bilişsel, Uygulamalı Gain proficiency in using various programming languages effectively
PLO07 Beceriler - Bilişsel, Uygulamalı Learn skills in data analysis, database management, and processing large datasets.
PLO08 Beceriler - Bilişsel, Uygulamalı Acquire practical experience through working on software development projects.
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Strengthen teamwork and communication skills. 4
PLO10 Yetkinlikler - Alana Özgü Yetkinlik Foster a mindset open to technological innovations. 3
PLO11 Yetkinlikler - Öğrenme Yetkinliği Encourage the capacity for continuous learning and self-improvement. 3
PLO12 Yetkinlikler - İletişim ve Sosyal Yetkinlik Enhance the ability to solve complex problems 4


Week Plan

Week Topic Preparation Methods
1 Sets, operation on sets, sets of number. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 Inequalities, absolute value Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
3 Relations, functions and special functions Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
4 Limit Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
5 Continuity Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap
6 Definition of derivation and rule of derivations Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
7 Rolle Theorem, The Mean Value Theorem Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
8 Mid-Term Exam Review and problem solving Ölçme Yöntemleri:
Yazılı Sınav
9 Drawing graph of a function Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
10 Exponential and logarithmic functions Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
11 Properties of trigonometric and hyperbolic functions Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap
12 Properties of inverse trigonometric functions Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap
13 Properties of inverse hyperbolic functions Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap
14 L'Hospital rule Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
15 Taylor Formula Review and problem solving Öğretim Yöntemleri:
Problem Çözme, Soru-Cevap, Tartışma
16 Term Exams Review and problem solving Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review and problem solving 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 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 30.05.2024 04:36