Course Name Code Semester T+U Hours Credit ECTS
Analysis II IME 202 4 4 + 2 5 8
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.Mithat TAKUNYACI
Course Category Available Basic Education in the Field
Course Objective To get information about two valued functions and their limits, continuity, subject of partial derivative and their applications. Introduce concept of two multiple integral and bring them ability on calculations of area and volume.
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, local extreme values, absolute extreme values and applications, Lagrange factors, concepts of two multiple integral, calculate volumes with two multiple integral.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Express and apply about basic rules of limit on two valued and real valued functions Lecture, Drilland Practice, Testing, Homework,
2 Define the information about concepts of continuity and discontinuity on two valued and real valued functions Drilland Practice, Lecture, Homework, Testing,
3 Express the partial derivative and chain rule on two valued and real valued functions and apply to problems Drilland Practice, Lecture, Homework, Testing,
4 Calculate linearization of functions by the help of partial derivative on two valued and real valued functions and solve local maximum-minimum problems. Drilland Practice, Lecture, Homework, Testing,
5 Solve maximum-minimum problems by the help of Lagrange Factors on two valued and real valued functions Drilland Practice, Lecture, Homework, Testing,
6 Express the information about two multiple integral on two valued and real valued functions and apply to on volumes by the help of two multiple integral. Drilland Practice, Lecture, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Concepts of function of several variables, definition of function and value sets, some function drawings.
2 Limit concepts in two valued functions.
3 Applications of limit in two valued functions and concepts of continuity.
4 Partial derivative in two valued functions, linearization.
5 Chain rule.
6 Applicaitons of chain rule, derivative of closed functions.
7 Extreme and absolute extreme points of functions
8 Extreme problems and applications on different fields
9 Mid – Term Exam
10 Methods of Lagrange Factors and its applicaitons.
11 Region transformations.
12 Two multiple integral.
13 Calculate area by the help of two multiple integral.
14 Calculate volume by the help of two multiple integral and different applications.
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System X
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 20
1. Ara Sınav 50
1. Kısa Sınav 15
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 6 96
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 15 15
Total Workload 199
Total Workload / 25 (Hours) 7.96
dersAKTSKredisi 8