| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Applied Mathmatics | HVA502 | Elective | Master's degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Serap BULUT
Learning Outcomes of the Course Unit
1) Makes the limit calculation of functions of several variables.
2) Makes the derivative calculation of functions of several variables.
3) Makes the integral calculation of functions of several variables.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
| Learning Outcomes | ||||||||||
| 1 | Middle | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | Middle | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | Middle | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Definition of multiplevariable function, Calculaation of limit of multiplevariable function, Continuity, Partial derivative, Chain rule, Maximum and minimum values, Some applications of functions of two variables, Double integrals, Partial differential equations.
Weekly Schedule
1) Definition of multiplevariable function.2) Calculaation of limit of multiplevariable function.
3) Continuity. Partial derivative.
4) Chain rule. Maximum ve minimum values.
5) Some applications of functions of two variables (Heat equation)
6) Double integrals.
7) Variable substitution method in solving double integrals.
8) Midterm exam
9) Definition, classification and derivation of partial differential equations.
10) First order linear equations.
11) First-order semi-linear equations, Lagrange method.
12) Second-order linear equations with constant coefficients
13) Repetitive factorization of operators
14) irreducible equations
15) Finding specific solutions for non-homogeneous linear equations
16) Final exam
Recommended or Required Reading
1- Diferansiyel denklemler ve uygulamaları; Mehmet Aydın
2- Diferansiyel denklemler; A. Neşe Dernek, Ahmet Dernek
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Group Study
5) Self Study
6) 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