Advanced Mathematics II (ING254) | GSÜ

Theory Topics
Week	Weekly Contents
1	Bilinear forms and inner product
2	Pre-Hilbert spaces and Euclidean spaces
3	Orthonormal bases for an inner product, Gram–Schmidt orthonormalization process
4	Orthogonal complement of a vector subspace and projection
5	Orthogonal projection theorem
6	Applications: least squares, approximation of a periodic function
7	Diagonalization of symmetric matrices
8	Midterm exam
9	Norms on a vector space, equivalence of norms in finite dimensions
10	Continuity of a function of several variables
11	Partial derivatives and the differential of a multivariable function
12	Curves and surfaces: level curves, gradient vector, and tangent plane
13	Minimum and maximum of a multivariable function
14	Final exam

Contribution to Overall Grade
Activities	Number	Contribution
Contribution of in-term studies to overall grade	1	40
Contribution of final exam to overall grade	1	60
Total	2	100

In-Term Studies
Activities	Number	Contribution
Assignments	1	40
Presentation	0	0
Midterm Examinations (including preparation)	0	0
Project	0	0
Laboratory	0	0
Other Applications	0	0
Quiz	0	0
Term Paper/ Project	0	0
Portfolio Study	0	0
Reports	0	0
Learning Diary	0	0
Thesis/ Project	0	0
Seminar	0	0
Other	0	0
Make-up	0	0
Total	1	40

No	Program Learning Outcomes	Contribution
No	Program Learning Outcomes	1	2	3	4	5
1	Knowledge and understanding of a wide range of basic sciences (math, physics, ...) and the main concepts of engineering					X
2	Ability to combine the knowledge and skills to solve engineering problems and provide reliable solutions				X
3	Ability to select and apply methods of analysis and modeling to ask, reformulate and solve the complex problems of industrial engineering	X
4	Ability to conceptualize complex systems, processes or products under practical constraints to improve their performance, ability to use innovative methods of design					X
5	Ability to design, select and apply methods and tools needed to solve problems related to the practice of industrial engineering, ability to use computer technology					X
6	Ability to design experiments, collect and interpret data and analyze results					X
7	Ability to work independently, ability to participate in working groups and have a multidisciplinary team spirit					X
8	Ability to communicate effectively, ability to speak at least two foreign languages
9	Awareness of the need for continuous improvement of lifelong learning, ability to keep abreast of scientific and technological developments to use the tools of information management
10	Awareness of professional and ethical responsibility	X
11	Knowledge of the concepts of professional life as "project management", "risk management" and "management of change"	X
12	Knowledge on entrepreneurship, innovation and sustainability	X
13	Understanding of the effects of Industrial Engineering applications on global and social health, environment and safety.	X

Activities	Number	Period	Total Workload
Class Hours	13	3	39
Working Hours out of Class	13	3	39
Assignments	0	0	0
Presentation	0	0	0
Midterm Examinations (including preparation)	1	10	10
Project	0	0	0
Laboratory	0	0	0
Other Applications	0	0	0
Final Examinations (including preparation)	1	10	10
Quiz	0	0	0
Term Paper/ Project	0	0	0
Portfolio Study	0	0	0
Reports	0	0	0
Learning Diary	0	0	0
Thesis/ Project	0	0	0
Seminar	0	0	0
Other	0	0	0
Make-up	0	0	0
Yıl Sonu	0	0	0
Hazırlık Yıl Sonu	0	0	0
Hazırlık Bütünleme	0	0	0
Total Workload			98
Total Workload / 25			3.92
Credits ECTS			4

Advanced Mathematics II

Content

Objective

Course Content

Weekly Contents

Assessment System

Relation of Proficiency

ECTS