Makine Mühendisliği

MATH 250 | Ders Tanıtım Bilgileri

Dersin Adı

Linear Algebra for Engineers

Kodu	Yarıyıl	Teori (saat/hafta)	Uygulama/Lab (saat/hafta)	Yerel Kredi	AKTS
MATH 250	SPRING	3	0	3	6

Ön-Koşul(lar)	MATH 153 To get a grade of at least FD MATH 109 To get a grade of at least FD
Dersin Dili	English
Dersin Türü	Zorunlu
Dersin Düzeyi	Lisans
Dersin Veriliş Şekli
Dersin Öğretim Yöntem ve Teknikleri	Problem Solving Q&A Lecture / Presentation
Ulusal Meslek Sınıflandırma Kodu	-
Dersin Koordinatörü	Doç. Dr. Sevin Gümgüm
Öğretim Eleman(lar)ı	Dr. Öğr. Üyesi Neslişah İmamoğlu Karabaş Doç. Dr. Sevin Gümgüm
Yardımcı(ları)	-

Dersin Amacı

The main objective of this course is to establish a basicmathematical background for the students who will receiveengineering courses based on linear algebra by providingthem with the basic knowledge on linear vector spaces,matrix operations as well as on the methods for solving andanalyzing linear systems of algebraic equations.

Öğrenme Çıktıları

Bu dersi başarıyla tamamlayabilen öğrenciler;

Ad	Açıklama	PC Alt	* Katkı Düzeyi
Ad	Açıklama	PC Alt	1	2	3	4	5
LO1	apply the rowoperations to find(reduced) rowechelon forms ofmatrices.	1.1					X
LO2	find the inverse ofa matrix.	1.1					X
LO3	apply basicconcepts of linearmodels to variousapplications.	1.1					X
LO4	evaluate thedeterminants ofmatrices.	1.1					X
LO5	investigate thelinearindependence ofvectors.	1.1					X
LO6	identify vectorspaces and theirsubspaces.	1.1					X
LO7	compute theeigenvalues of amatrix andcorrespondingeigenvectors.	1.1	X
LO8	describe the innerproduct.	1.1					X

Ders Tanımı

The main subjects of the course are the vector and matrixoperations, linear independence and dependence of vectors,linear vector spaces and subspaces, dimensions and basisvectors for vector spaces, linear transformations,determinants, eigenvalue and eigenvectors.

Dersin İlişkili Olduğu Sürdürülebilir Kalkınma Amaçları

Dersin Kategorisi	Temel Ders	X
	Uzmanlık/Alan Dersleri
	Destek Dersleri
	İletişim ve Yönetim Becerileri Dersleri
	Aktarılabilir Beceri Dersleri

HAFTALIK KONULAR VE İLGİLİ ÖN HAZIRLIK ÇALIŞMALARI

Hafta	Konular	Ön Hazırlık	Öğrenme Çıktısı
1	Systems of linearequations, rowreduction andechelon forms, vectorequations	David C.Lay, StephanR.Lay and Judi J.McDonald, "LinearAlgebra and ItsApplications", 5th ed.(Pearson, 2015).Sections 1.1, 1.2,D0avid C.Lay,Stephan R.Lay andJudi J. McDonald,"Linear Algebra andIts Applications", 5thed.( Pearson, 2015).Sections 1.1, 1.2, 1.3	-
2	The matrix equationAx=b, Solution sets oflinear systems,applications of linearsystems	David C.Lay, StephanR.Lay and Judi J.McDonald, "LinearAlgebra and ItsApplications", 5th ed.(Pearson, 2015).Sections 1.4, 1.5, 1.6	-
3	Linear Independence, introduction to linear transformations	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 1.7, 1.8	-
4	The matrix of a linear transformation and applied modeling of electrical networks, population movement, and infrastructure flows	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 1.9, 1.10	-
5	Matrix operations, The inverse of a matrix	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 2.1, 2.2	-
6	Characterization of invertible matrices, matrix factorizations and decomposition learning	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 2.3, 2.5	-
7	Introduction to determinants, properties of determinants	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015).Section 3.1, 3.2, 3.3	-
8	Cramer’s rule, volume, and linear transformations, Vector spaces and subspaces	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015).Section 3.3, 4.1	-
9	Midterm Exam		-
10	Null spaces, column spaces, and linear transformations, Linearly independent sets, bases	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 4.2, 4.3	-
11	The dimension of a vector space, Rank, Application for Markov chains	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 4.5, 4.6, 4.9	-
12	Eigenvalues and eigenvectors, The characteristic equation, Diagonalization	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 5.1, 5.2, 5.3	-
13	Diagonalization, Inner product, length, and orthogonality, orthogonal sets	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Sections 5.3, 6.1, 6.2	-
14	The Gram-Schmidt process, review	David C.Lay, Stephan R.Lay and Judi J. McDonald, "Linear Algebra and Its Applications", 5th ed.( Pearson, 2015). Section 6.4	-
15	Semester review		-
16	Final exam		-

Ders Kitabı	David C.Lay Stephan R.Lay and Judi J. McDonald "Linear Algebra and Its Applications" 5 th ed. (Pearson 2015). ISBN-13:978-0321982384
Önerilen Okumalar/Materyaller	-

DEĞERLENDİRME ÖLÇÜTLERİ

Yarıyıl Aktiviteleri	Sayı	Katkı Payı %	LO1	LO2	LO3	LO4	LO5	LO6	LO7	LO8
Küçük Sınav / Stüdyo Kritiği	4	20	X	X	X	X	X	X	X	X
Ara Sınav	1	30	X	X	X	X	X	X	X	X
Final Sınavı	1	50	X	X	X	X	X	X	X	X
Toplam	6	100

AKTS / İŞ YÜKÜ TABLOSU

Yarıyıl Aktiviteleri	Sayı	Süre (Saat)	İş Yükü
Katılım	-	-	-
Teorik Ders Saati	16	3	48
Laboratuvar / Uygulama Ders Saati	-	-	-
Sınıf Dışı Ders Çalışması	14	3	42
Arazi Çalışması	-	-	-
Küçük Sınav / Stüdyo Kritiği	4	5	20
Portfolyo	-	-	-
Ödev	-	-	-
Sunum / Jüri Önünde Sunum	-	-	-
Proje	-	-	-
Seminer/Çalıştay	-	-	-
Sözlü Sınav	-	-	-
Ara Sınavlar	1	30	30
Final Sınavı	1	40	40
		Toplam	180

DERSİN ÖĞRENME ÇIKTILARININ PROGRAM YETERLİLİKLERİ İLE İLİŞKİSİ

#	PC Alt	Program Yeterlilikleri / Çıktıları	* Katkı Düzeyi
#	PC Alt	Program Yeterlilikleri / Çıktıları	1	2	3	4	5
1	Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems.
	1	Mathematics	LO7				LO1 LO2 LO3 LO4 LO5 LO6 LO8
	2	Science
	3	Basic Engineering
	4	Computation
	5	Related engineering discipline-specific topics
	6	The ability to apply this knowledge to solve complex engineering problems
2	Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed.
3	Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions.
	1	Ability to design creative solutions to complex engineering problems
	2	Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions
4	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations.
5	Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results.
	1	Literature research for the study of complex engineering problems
	2	Designing experiments
	3	Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results
6	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions.
	1	Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals
	2	Awareness of the legal implications of engineering solutions
7	Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity.
	1	Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility
	2	Awareness of being impartial and inclusive of diversity, without discriminating on any subject
8	Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid).
	1	Ability to work individually and within the discipline
	2	Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid)
9	Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues.
	1	Ability to communicate verbally
	2	Ability to communicate effectively in writing
10	Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.
	1	Knowledge of business practices such as project management and economic feasibility analysis
	2	Awareness of entrepreneurship and innovation
11	Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

İZMİR EKONOMİ ÜNİVERSİTESİ GÜZELBAHÇE KAMPÜSÜ

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