Ders Planı

ISTANBUL AYDIN UNIVERSITY

CLASS 3

CLASS 4

Lesson plan / MATHEMATICS

Lesson Information

Course Credit	2.0
Course ECTS Credit	4.0
Teaching Language of Instruction	İngilizce
Level of Course	Associate's Degree, TYYÇ: Level 5, EQF-LLL: Level 5, QF-EHEA: Short Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
Course Coordinator	Assist. Prof. Dr. EMRAH TUNER
Instructor (s)	Assist. Prof. Dr. AYŞEGÜL KIVILCIM JENSEN
Course Assistant

Purpose and Content

The aim of the course	The objective of the Mathematics course is to teach students fundamental mathematical concepts and provide them with various techniques for performing calculations and solving problems. Students will develop analytical thinking skills and gain proficiency in problem-solving and mathematical modeling.
Course Content	The course content includes key topics such as sets and set operations, number systems, decimal representation of rational numbers, exponents and radicals, equations and inequalities, functions, limits and continuity, and derivatives. Students will also explore advanced mathematical concepts like logarithmic, exponential, and trigonometric functions and apply them in practical contexts.

Learning Outcomes

Possesses fundamental, up-to-date, and practical knowledge related to their field.
Demonstrates awareness of occupational health and safety, environmental responsibility, and quality assurance processes.
Identifies and explains core management concepts, functions, and major managerial approaches
Explains key business processes in areas such as marketing, human resources, accounting, finance, management, and production.
Integrates knowledge from related disciplines such as economics, behavioral sciences, sociology, psychology, and law within the context of the field.
Follows current developments and practices in the profession and applies them effectively.
Effectively utilizes information technologies (such as software, programs, animation, etc.) relevant to the profession.
Demonstrates the ability to independently evaluate professional problems and issues using an analytical and critical approach and offer appropriate solutions.
Communicates ideas effectively and clearly through both written and oral means, in line with acquired knowledge and skills.
Takes responsibility as a team member in solving complex and unforeseen problems encountered in field-related practices.
Demonstrates awareness of career management and lifelong learning.
Acts in accordance with social, scientific, cultural, and ethical values during the collection, implementation, and dissemination of field-related data.
Follows field-related knowledge and communicates with colleagues by using a foreign language.

Weekly Course Subjects

1	BASIC CONCEPTS Natural Numbers Integers Consecutive Numbers Prime Numbers Odd-Even Numbers
2	BASIC CONCEPTS Base Analysis and Base Arithmetic Divisibility Rules Factorial
3	BASIC CONCEPT Rational Numbers Decimal Numbers Irrational Numbers Real Numbers
4	EXPONENTIAL NUMBERS Definition and Properties of Exponential Numbers Operations on Exponential Numbers Exponential Equations
5	ROOT NUMBERS Definition and Properties of Root Numbers Operation on Root Numbers Relationships between Root Numbers and Exponential Numbers
6	COMPLEX NUMBERS Definition of Complex Numbers Complex Conjugate Arithmetic Operations with Complex Numbers
7	SETS Definiton of Set Subset-Proper Subset – Determine Numbers of Subset-Proper Subset Universal Set Complement Set Set Operations
8	ABSOLUTE VALUE Definition of Absolute Value Absolute Value Solutions
9	MIDTERM
10	EQUATIONS First Degree Equations and their Solutions Equation Systems Second Degree Equations and their Solutions
11	INEQUALITIES Interval(Open, Close, Semi-open) Determine Interval on Number Line Solution Set of Inequalities
12	FUNCTIONS Definition of Functions Graphs of Functions, the Vertical Line Test Piecewise Defined Functions, Identity, and Constant Function Even and Odd Functions, One-to-one, Onto, and Into Functions Operations on Functions Composite and Inverse Functions
13	LIMIT & CONTINUITY Limits of Function Values Calculating Limits Using Limit Laws One-Sided Limits Continuity Limits of Polynomial Functions
14	DIFFERENTIATION Definition of Derivative Calculating derivatives of Functions Derivatives of Trigonometric Functions Derivatives of Exponential Functions

Resources

Calculus, Thomas George B. , Addison Wesley, Longman 2003