Course Name Code Semester T+U Hours Credit ECTS
Analysis I IME 201 3 4 + 2 5 7
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 give information about subjects related limit, continuity, derivative, indefinite integral and definite integral on single variable functions and their applications
Course Content Concept of limit and applications on single variable functions. Continuity and applicaitons, varieties of discontinuity on single variable functions. Concept of derivative and derivative methods on single variable functions. Derivative of polynomial, trigonometric, logarithmic, exponentional, hyperbolic functions and their inverses and derivative of closed functions. higher order derivatives. Extramum and absolute extramum points of functions, extramum problems and practice on different fields. Rolle and Cauchy Mean Value Theorems. Finite Taylor Theorem. L’Hospital Rule and limit practices by the help of this rule. Differential and linear rise. Concept of integral, indefinite integrals, integral methods, definite integral, calculate area and volume by the help of definite integral, practices on different fields.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Define basic rules about subject of limit and apply on single variable functions Lecture, Drilland Practice, Testing, Homework,
2 On single variable functions, express the information about concept of continuity, discontinuity and interpret from the point of geometrical view. Drilland Practice, Lecture, Homework, Testing,
3 Express the information about derivative and basic theorems related derivative, calculate and apply the derivative of polynomial, trigonometric, logarithmic, exponentional and composite and inverse functions Lecture, Drilland Practice, Testing, Homework,
4 Calculate limit by the help of L’Hospital Rule on single variable functions Drilland Practice, Lecture, Homework, Testing,
5 Express indefinite integral and integral methods and apply to problems on single variable functions Lecture, Drilland Practice, Testing, Homework,
6 Express the information about concept of definite integral and apply on area, arc length and volume by the help of definite integral Lecture, Drilland Practice, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Concept of limit on single variable functions
2 Applications of limit on single variable functions
3 Continuity – discontinuity and their applicaitons on single variable functions
4 Derivative and derivative methods on single variable functions
5 Derivative of trigonometric, logarithmic, exponentional, hyperbolic functions and their inverses and derivative of closed functions
6 Extramum and absolute extramum points of functions, extramum problems and practice on different fields
7 Graph drawings by the help of derivative
8 L’Hospital Rule and limit practices by the help of this rule. Differential and linear rise
9 Mid- Term Exam
10 Indefinite integrals and integral methods: change of variable
11 Integration by parts, integral of trigonometric, irrational, Binomial integrals
12 Definite integral
13 Calculation of area and length of a curve by the help of integral
14 Calculation of volume by the help of integral and practice on different fields
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 X
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. 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 6 96
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 15 15
Total Workload 167
Total Workload / 25 (Hours) 6.68
dersAKTSKredisi 7