Course Name Code Semester T+U Hours Credit ECTS
Analysis Iii IME 207 3 2 + 0 2 3
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi MİTHAT TAKUNYACI
Course Lecturers Dr.Öğr.Üyesi MİTHAT TAKUNYACI,
Course Assistants

Res. Assist. Emine Nur BİLGİÇ

Course Category Available Basic Education in the Field
Course Objective

The purpose of the course is to be able to examine development of basic mathematical concepts and theoretical structure of storied integral calculus in hypervariable functions.

Course Content

Concepts of function of several variables, definition of function and value sets, function drawings. Limit concepts in two valued functions and applications, concepts of continuity. Partial derivative in two valued functions, chain rule, differential increase and linearization,

# Course Learning Outcomes Teaching Methods Assessment Methods
1 Student will recognize hypervariable functions, find the domain and draw the graphs. Lecture, Drilland Practice, Testing, Homework,
2 Students will learn how to define the concepts of limit for multivariable functions. Lecture, Question-Answer, Discussion, Testing,
3 Students will learn how to define the concepts of continuity for multivariable functions Lecture, Question-Answer, Discussion, Testing,
4 Students will learn how to define the concepts of derivative for multivariable functions Lecture, Question-Answer, Discussion, Testing,
5 Students will learn how to function series. Lecture, Question-Answer, Discussion, Testing,
Week Course Topics Preliminary Preparation
1 Concept of function of several variables, definition of function and value sets, graphic drawings
2 Topology of IRN
3 Concept of limit in functions of two variables
4 Concept of continuity in functions of two variables
5 Derivative in functions of two variables
6 Partial derivatives in functions of two variables
7 Geometric Interpretation of Partial Derivative
8 Chain rule with two variable functions
9 Midterm
10 Directional derivative concept
11 Higher-Order Derivatives
12 Function Series.
13 General applications
14 General applications
Resources
Course Notes
Course Resources

Thomas Kalkülüs Metrik Baskı Cilt: 1, George B. Thomas, Joel R. Hass, Maurice D. Weir, Pearson Education

Matematik Analiz, Mustafa Balcı, Balcı Yayınları

Order Program Outcomes Level of Contribution
1 2 3 4 5
1 X
2 X
3 X
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 60
1. Kısa Sınav 15
1. Ödev 10
2. Kısa Sınav 15
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 5 5
Quiz 2 4 8
Assignment 1 3 3
Final examination 1 6 6
Total Workload 86
Total Workload / 25 (Hours) 3.44
dersAKTSKredisi 3