|
Week
|
Topics
|
Study Metarials
|
|
1
|
Partial integration method; simple fractional separation method
|
R3-Chapter 6
|
|
2
|
Inverse variable changing method; improper integrals
|
R1-Chapter 8
|
|
3
|
The volumes of the rotating bodies; arc length and surface area
|
R1-Chapter 9
|
|
4
|
Series and convergence; infinite series; convergence tests for positive series
|
R1-Chapter 10
|
|
5
|
Absolute and conditional convergence; force series; Taylor and Maclaurin series
|
R1-Chapter 11
|
|
6
|
Multivariable functions; limit and continuity; partial derivation
|
R1-Chapter 12
|
|
7
|
Higher order derivatives; chain rule; linear approach
|
R1-Chapter 13
|
|
8
|
Gradient and directional derivative; closed functions and closed function theory
|
R2-Chapter 10
|
|
9
|
Maximum and minimum, Lagrange multipliers method
|
R2-Chapter 11
|
|
10
|
Double integrals; Iteration of double integrals in Cartesian coordinates
|
R2-Chapter 12
|
|
11
|
Variable change in double integrals; Double integrals in polar coordinates
|
R2-Chapter 13
|
|
12
|
Triple integrals; variable change in triple integrals; Triple integrals in cylindrical and spherical coordinates
|
R2-Chapter 14
|
|
13
|
Vector and scalar fields; linear integrals; surface integrals
|
R2-Chapter 15
|
|
14
|
Green, Divergence and Stoke theorems
|
R2-Chapter 16
|
|
Prerequisites
|
-
|
|
Language of Instruction
|
Turkish
|
|
Responsible
|
Asst. Prof. Dr. Göksu GÖREL
|
|
Instructors
|
-
|
|
Assistants
|
-
|
|
Resources
|
R1- Adams, R. A. & Christopfer, E. (2010). Çeviren: Terziler, M. & Öner, T. (2017). Kalkülüs Eksiksiz Bir Ders (1. Basım), Palme Yayınevi, Ankara.
R2-Balcı, M. (2011). Matematik Analiz II (1. Basım), Balcı Yayınları, Ankara.
R3- Musayev, B. & Alp, M. & Mustafayev, N. (2007). Teori ve çözümlü Problemlerle Analiz II (2. Basım), Seçkin Yayıncılık, Ankara.
|
|
Supplementary Book
|
-
|
|
Goals
|
To teach the basic concepts and subjects required for the solution of the mathematical problems related to the discipline of the student
|
|
Content
|
Partial integration method; simple
fractional separation method,
Inverse variable changing method;
improper integrals,
The volumes of the rotating bodies; spring
length and surface area,
Series and convergence; infinite series;
convergence tests for positive series,
Absolute and conditional convergence; force
series; Taylor and Maclaurin series,
Multivariable functions; limit and
continuity; partial derivation,
Higher order derivatives; chain
rule; linear approach,
Gradient and directional derivative; closed
functions and Closed Function
theorem,
Maximum and minimum. Lagrange
multiplier method,
Double integrals; Cartesian
double integrals in the coordinates
iteration,
Variable in two-level integrals
changing; At polar coordinates
double integrals,
Triple integrals; three storey
changing variables in integers;
Three cylindrical and spherical coordinates
folded integrals,
Vector and scalar fields; linear
integrals; surface integrals,
Green, Divergence and Stoke theorems
|
|
Program Learning Outcomes |
Level of Contribution |
|
1
|
Acquired the necessary skills in the areas of mathematics, applied sciences and his/her own field; has the ability to use collectively these concepts and applications of these fields to solve the problems of Electrical and Electronics Engineering,
|
3
|
|
2
|
Has the ability to define, identify, formulate and solve the problems of Electrical and Electronics Engineering and selects the appropriate analytic solutions, modelling and applies them in an orderly manner,
|
3
|
|
3
|
Analyses a system or a process and designs it under the given constraints meeting the requirements; applies the up to date design techniques in this direction,
|
-
|
|
4
|
Has the ability to choose and utilize the modern technologies and tools of engineering; has the ability to use information technologies and at least one software language (at the advanced European License level) in an efficient way,
|
-
|
|
5
|
Has the ability to design experiments, carries out experiments, analyses results and makes comments on these results,
|
-
|
|
6
|
Has access to information and undertakes literature survey in this direction; has the ability to search and use databases and other data resources,
|
3
|
|
7
|
Can participate and assume responsibility in multidisciplinary task forces,
|
-
|
|
8
|
Has the ability to communicate in Turkish verbally and in written forms; has the knowledge of one foreign language of European portfolio at the B1 level,
|
-
|
|
9
|
Conscious of lifelong learning; follows the science and technological developments and updates himself/herself continually,
|
-
|
|
10
|
Has the responsibility and conscious in his/her profession,
|
3
|
|
11
|
Has the ability to conduct projects, has knowledge of the work procedures, health of workers, environment and safety procedures of work places; is aware of legal consequences of engineering applications,
|
-
|
|
12
|
Is conscious of the consequences and effects of engineering solutions and applications in public and universal dimensions; is aware of innovation matters and has knowledge of the contemporary issues and problems,
|
2
|