BBT129 Mathematics

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

Information

Code BBT129
Name Mathematics
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 3 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Arş.Gör.Dr. AYŞE ÇOBANKAYA
Course Instructor Doç. Dr. Ayhan ATIZ (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

No prerequisites

Resources

Calculus 1, Professor George Brinton Thomas Jr.

Notes

Calculus, James Stewart


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 Has discipline-specific subject’s adequate knowledge of mathematics, science, and Agricultural Engineering (Soil Science and Plant Nutrition); use theoretical and applied knowledge in these fields of the complex engineering problems. 4
PLO02 Beceriler - Bilişsel, Uygulamalı Define, formulate and solve complex problems in the field of Soil Science and Plant Nutrition, select and apply appropriate analysis and modeling methods for this purpose.
PLO03 Yetkinlikler - Öğrenme Yetkinliği Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions, and apply modern design methods for this purpose in Soil Science and Plant Nutrition discipline.
PLO04 Yetkinlikler - İletişim ve Sosyal Yetkinlik Select and use modern tools necessary for the analysis and solution of complex problems and use information technologies effectively in the field of Soil Science and Plant Nutrition application.
PLO05 Beceriler - Bilişsel, Uygulamalı Design, conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research issues encountered in the field of Soil Science and Plant Nutrition.
PLO06 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Work effectively in interdisciplinary (Soil Science and Plant Nutrition) and multidisciplinary teams; develope individual study skills
PLO07 Yetkinlikler - İletişim ve Sosyal Yetkinlik Communicate effectively orally and in writing; has a foreign language knowledge at the “beginner” level; write reports effectively in the field of Soil Science and Plant Nutrition, understand written reports, prepare, design and production reports, make effective presentations, take and give clear and understandable instructions.
PLO08 Yetkinlikler - Öğrenme Yetkinliği Gain awareness of the necessity of lifelong learning; access information in the field of Soil Science and Plant Nutrition, follow the developments in science and technology, and constantly renew oneself.
PLO09 Yetkinlikler - Alana Özgü Yetkinlik Compliance with ethical principles, professional and ethical responsibility in the field of Soil Science and Plant Nutrition, and has knowledge of standards used in engineering practices.
PLO10 Yetkinlikler - Alana Özgü Yetkinlik Gain knowledge of business practices as project and risk management and change management; gain awareness of entrepreneurship and innovation; information about sustainable development in the field of Soil Science and Plant Nutrition.
PLO11 Yetkinlikler - Alana Özgü Yetkinlik Has information about the effects of Soil Science and Plant Nutrition practice’s on health, environmental, and security in universal scale and social dimensions: The problems of the age reflection related with the field of Soil Science and Plant Nutrition; gain awareness of the legal implications of Soil Science and Plant Nutrition solutions.


Week Plan

Week Topic Preparation Methods
1 Inequalities and Absolute Values Lecture and discussion Öğretim Yöntemleri:
Anlatım
2 Functions; Domain and Range Sets Lecture and discussion Öğretim Yöntemleri:
Anlatım
3 Types of Functions: Linear, Polynomial and Rational Functions Lecture and discussion Öğretim Yöntemleri:
Anlatım
4 Types of Functions: Trigonometric, Increasing-Decreasing and Odd-Even Functions Lecture and discussion Öğretim Yöntemleri:
Anlatım
5 Limits: Limit of a Function and Precise Definition of Limit Lecture and discussion Öğretim Yöntemleri:
Anlatım
6 Limits: Calculating Limits Using the Limit Laws. One-sided Limits. Infinite Limits and Limits at Infinity Lecture and discussion Öğretim Yöntemleri:
Anlatım
7 Continuity: Continuity of a Function at a Point. Continuous Functions. Types of Discontinuous Lecture and discussion Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Midterm exam Ölçme Yöntemleri:
Yazılı Sınav
9 Derivative: Introducing the Derivative. The Derivative as a Function. Rules of Differentiation Lecture and discussion Öğretim Yöntemleri:
Anlatım
10 Derivative: Derivatives of Trigonometric Functions. Derivatives as Rates of Change Lecture and discussion Öğretim Yöntemleri:
Anlatım
11 Derivative: The Chain Rule, Implicit Differentiation Lecture and discussion Öğretim Yöntemleri:
Anlatım
12 Applications of Derivatives: Maxima and Minima. Mean Value Theorem Lecture and discussion Öğretim Yöntemleri:
Anlatım
13 Applications of Derivatives: Graphing Functions. Optimization Problems Lecture and discussion Öğretim Yöntemleri:
Anlatım
14 Applications of Derivative: L’Hôpital’s Rule Lecture and discussion Öğretim Yöntemleri:
Anlatım
15 Anti-Derivatives and Indefinite Integral Final exam Öğretim Yöntemleri:
Anlatım
16 Term Exams Final exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Final exam 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 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 6 6
Final Exam 1 16 16
Total Workload (Hour) 78
Total Workload / 25 (h) 3,12
ECTS 3 ECTS

Update Time: 13.09.2024 03:30