PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 101	ANALYSIS - I	4 + 2	1st Semester	6,5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to provide an introduction to the basic concepts and techniques used in Analysis. .
Course Content	Sets and Numbers, Functions, Sequences, Limit of a Function, Continuity, Derivative, Graphics of Functions.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Defines the concepts of the sets and the numbers
2	Defines the functions and computes the limits of the functions.
3	Defines the concept of the sequences, interprets the important theorems about the sequences and computes the limits of the sequences.
4	Defins the derivation, determines the differentiable functions, cmputes the derivations of the functions and uses the differentiation on sme problems in daily life.
5	Draws the graphics of the functions using the derivation and solves sme optimization problems by applying te derivation.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	6	84
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	20	20
Final examination	1	37	37
Total Work Load ECTS Credit of the Course			169 6,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 101	ANALYSIS - I	4 + 2	1	Turkish	2021-2022 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. MURAT BEŞENK	mbesenk@pau.edu.tr		FEN A0315	%70

Goals		The aim of this course is to provide an introduction to the basic concepts and techniques used in Analysis. .
Content		Sets and Numbers, Functions, Sequences, Limit of a Function, Continuity, Derivative, Graphics of Functions.

Topics

Weeks	Topics
1	Sets and Numbers
2	Concept of Function, Some Special Functions
3	Bounded and Unbounded Functions
4	Trigonometric Functions and Inverse Trigonometric Functions
5	Exponential and Logarithmic Functions
6	Hyperbolic and Inverse Hyperbolic Functions
7	Sequences
8	Limit and Continuity
9	Midterm Exam
10	Derivatives and Differentials: Concept of Derivative, General Rules of Differentiation, Derivative of an Inverse Function
11	Derivatives of Trigonometric, Inverse Trigonometric, Logarithmic, Exponential, Hyperbolic and Inverse Hyperbolic Functions
12	Derivatives of Parametric and Implicit Functions, Higher-Order Derivatives, Differential of a Function
13	Maximum and Minimum Problems
14	Applications of Derivative and Differential: Graphs of Functions

Materials

Materials are not specified.

Resources

Resources	Resources Language
Analiz I; Prof. Dr. Mehmet Ali SARIGÖL, Prof. Dr. Sadulla JAFAROV	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student