| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Analysis 2 | IMO203 | Compulsory | Bachelor's degree | 2 | Fall | 6 |
Name of Lecturer(s)
Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Cüneyt YAZICI
Learning Outcomes of the Course Unit
1) Know the concepts of sets and number systems.
2) Know relationship, function types, exponential functions and logarithmic functions.
3) Define basic concepts about subject of limit on single variable functions.
4) Clarify concept of continuity and discontinuity on single variable functions.
5) Solve problems related to derivative on single variable functions.
6) Makes graphic drawings using derivatives on single variable functions.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | No relation | High | High | High | High | High | High | High | High | High | High | High | High | |
| 2 | High | High | High | High | High | No relation | High | High | High | High | High | High | High | |
| 3 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 4 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 5 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 6 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Analysis 1
Course Contents
Sets, numbers,function concept, function kinds, increased and decreased functions, closed functions, bijectve functions and inverse of a function, limit concept, derivative conceprt, tangent end normal equations, L'Hospital rule, extrema of functions and curves.
Weekly Schedule
1) Trigonometric functions, trigonometric relations, trigonometric equation solutions.2) Trigonometric functions, trigonometric relations, trigonometric equation solutions.
3) Complex numbers and properties.
4) Complex numbers and properties.
5) Univariate integral and integration methods in univariate functions.
6) Univariate integral and integration methods in univariate functions.
7) Univariate integral and integration methods in univariate functions.
8) Midterm
9) Calculate specific integral, area, arc length and volume in univariate functions
10) Calculate specific integral, area, arc length and volume in univariate functions.
11) Calculate specific integral, area, arc length and volume in univariate functions.
12) Calculate specific integral, area, arc length and volume in univariate functions.
13) Improper integrals, series and convergence tests.
14) Improper integrals, series and convergence tests.
15) Improper integrals, series and convergence tests.
16) Final Exam
Recommended or Required Reading
1- Matematik Analiz 2 Prof. Dr. Mustafa BALCI
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Brain Storming
6) Self Study
7) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required