MAT111 Mathematics I

4 ECTS - 2-0 Duration (T+A)- 1. Semester- 2 National Credit

Information

Code MAT111
Name Mathematics I
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 4 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. SEDAT GÜNDOGDU
Course Instructor Emrah KORKMAZ (A Group) (Ins. in Charge)


Course Goal / Objective

The objective of this course is to enable students to acquire competency in doing calculus computations. In the field of calculus, the primary methodologies employed for the examination and characterization of functions are limits, derivatives, and integrals. These tools will be utilized by students to address application problems across a wide range of disciplines, including physics, biology, business, and economics.

Course Content

Equations and inequalities, Functions and graphs, Limits and continuity, Derivatives, Applications of derivatives, Anti-derivatives and integrals

Course Precondition

None

Resources

Calculus 1, Professor George Brinton Thomas Jr.

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Solve algebraic equations and inequalities.
LO02 Recognize and graph polynomial, rational and trigonometric functions.
LO03 Calculate limits of functions and indefinite forms (using the L'Hopital rule).
LO04 Use the rules for computing derivatives and be familiar with the definition of derivatives and tangent line.
LO05 Find the maximum and minimum of a function using derivatives.
LO06 Apply derivatives to determine monotinicity and concavity and graph functions.
LO07 Apply derivatives to real world problems.
LO08 Understand the concept of indefinite integral as antiderivative.
LO09 Comprehend standard indefinite integrals and basic rules of indefinite integral.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains the basic concepts and principles of science and basic engineering branches. 4
PLO02 Bilgi - Kuramsal, Olgusal Evaluates the accuracy, reliability and currency of the information about fisheries 5
PLO03 Bilgi - Kuramsal, Olgusal Explains basic information about ecosystem, biodiversity and sustainable resource management, design, planning and use of technology. 5
PLO04 Bilgi - Kuramsal, Olgusal Explains the strategies, methods and techniques related to fisheries, measurement and evaluation methods 5
PLO05 Bilgi - Kuramsal, Olgusal Explains the production and/or processing processes related to seafood products. 5
PLO06 Beceriler - Bilişsel, Uygulamalı Investigates the problems related to fisheries using scientific methods. 5
PLO07 Beceriler - Bilişsel, Uygulamalı Examines events and cases with the scientific method by using theoretical and practical knowledge about fisheries. 4
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği To have the skills and competence required for duties such as consultancy, auditing and expertise in businesses related to fisheries. 2
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Takes responsibility individually or as a team member to solve problems encountered in fisheries related enterprises 2
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Conducts interdisciplinary studies related to fisheries. 2
PLO11 Yetkinlikler - Öğrenme Yetkinliği Develops a positive attitude towards lifelong learning to learn continuously innovated knowledge and skills related to fisheries. 5
PLO12 Yetkinlikler - Öğrenme Yetkinliği Queries the accuracy of information related to fisheries.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Have the ability to access and use information.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Uses the information about fisheries for the benefit of society.
PLO15 Yetkinlikler - İletişim ve Sosyal Yetkinlik Follows the events on the social and world agenda.
PLO16 Yetkinlikler - İletişim ve Sosyal Yetkinlik Produces projects by taking into account the problems and needs of the social environment in which they live.
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik Shares the knowledge and skills acquired in fisheries on various platforms in order to raise awareness of the society.
PLO18 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a foreign language at a sufficient level to follow the resources related to the field and communicate with colleagues.
PLO19 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses information and communication technologies related to fisheries.
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Carries out studies in the fields of ecosystem, biodiversity and sustainable resource management, aquaculture, fisheries and processing technology.
PLO21 Yetkinlikler - Alana Özgü Yetkinlik Prepares and manages projects related to fisheries, taking into account environmental, technical, technological and economic aspects.
PLO22 Yetkinlikler - Alana Özgü Yetkinlik Acts in accordance with scientific, cultural and ethical values.
PLO23 Yetkinlikler - Alana Özgü Yetkinlik Know the legislation related to the field and act accordingly.


Week Plan

Week Topic Preparation Methods
1 Inequalities and Absolute Values Reading related sources, homework Öğretim Yöntemleri:
Anlatım
2 Functions; Domain and Range Sets Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Types of Functions: Linear, Polynomial and Rational Functions Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Types of Functions: Trigonometric, Increasing-Decreasing and Odd-Even Functions Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Limits: Limit of a Function and Precise Definition of Limit Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Limits: Calculating Limits Using the Limit Laws. One-sided Limits. Infinite Limits and Limits at Infinity Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Continuity: Continuity of a Function at a Point. Continuous Functions. Types of Discontinuous Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Midterm exam Studying midterm exam Ölçme Yöntemleri:
Yazılı Sınav
9 Derivative: Introducing the Derivative. The Derivative as a Function. Rules of Differentiation Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Derivative: Derivatives of Trigonometric Functions. Derivatives as Rates of Change Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Derivative: The Chain Rule, Implicit Differentiation Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Soru-Cevap
12 Applications of Derivatives: Maxima and Minima. Mean Value Theorem Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Applications of Derivatives: Graphing Functions. Optimization Problems Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 Applications of Derivatives: L’Hôpital’s Rule Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Anti-Derivatives and Indefinite Integral Reading related sources, homework Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Term Exams Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams 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 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 1 4 4
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 24 24
Total Workload (Hour) 92
Total Workload / 25 (h) 3,68
ECTS 4 ECTS

Update Time: 13.09.2024 04:00