Issue date: 01.10.2019

Revision date:01.10.2019

Revision No:00

DF Board Decision No: -

Course Name : Linear Algebra

Degree: Undergraduate

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

MATH 211Y

2/3

2,5

3

2

1

-

Department

Maritime Transportation and Management Engineering

Instructors

Contact Information

Office Hours

Web page

www.pirireis.edu.tr

Course Type

 Compulsory

Course Language

English

Course Prerequisites

-

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

90

10

---

---

Course Description

Systems of linear equations, matrices, determinants, the Euclidean vector space, vector spaces and subspaces, eigenvalues and eigenvectors, diagonalization and quadratic forms, linear transformations

Course Objectives

1. To  introduce the fundamental concepts and methods of Linear Algebra
2. To provide  an ability to apply knowledge of linear algebra to solve engineering problems

Course Learning Outcomes

Upon successful completion of the course students should be able to:

1. Find and classify the types of solutions of  linear system of equations
2. Perform basic matrix operations
3. Use the row reduction operations  put a matrix in upper echelon form
4. Find the inverse of a matrix
5. Compute the determinants of  square matrices
6. Understand and apply the basic properties of vectors in Rⁿ
7. Understand the concepts of vector space, basis, dimension and subspace.
8. Determine the matrix reprerentation of a linear transformation
9. Find eigenvalues and eigenvectors of a matrix
10. Diagonalize a matrix and  understand the concept of similarity of matrices

Instructional Methods and Techniques

Lecture, problem solving.

Tutorial Place

-

Co-term Condition

-

Textbook

H. Anton, C. Rorres, Elementary Linear Algebra, 10 th Edition, Wiley

Other References

B.Kolman, D.R.Hill,  Elementary Linear Algebra with Applications, 9th Edition, Pearson

Homework & Projects

---

Laboratory Work

---

Computer Use

---

Other Activities

---

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

30

Quiz

2

20

Homework

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

50

TOTAL

100

Effects of Midterm on Grading, %

50

Effects of Final on Grading, %

50

TOTAL

100

ECTS/

WORKLOAD TABLE

Activities

Count

Hours

Total

Workload

Lecture

14

3

42

Midterm

1

8

8

Quiz

2

2

4

Homework

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

12

12

Total Workload

66

Total Workload/25

66/25

Course ECTS Credits

3

Week

Topics

Course Outcomes

1

Introduction to Systems of  Linear Equations, Gaussian Elimination

I-II-III

2

Matrices and Matrix Operations, Inverses,  Algebraic Properties of Matrices

I-II-III-IV

3

Elementary Matrices and a Method for Finding A^-1, More on Linear Systems  and Invertible Matrices, Diagonal, Triangular, and Symmetric Matrices

II-III-IV-V

4

Determinants by Cofactor Expansion, Evaluating Determinants by Row Reduction

VI

5

Properties of  Determinants,  Cramer’s Rule

VI-VII

6

Vectors in 2-Space, 3-Space, n-Space, Norm, Dot Product, and Distance in Rⁿ, Orthogonality, The Geometry of Linear Systems, Cross Product

II-III-VIII

7

Real Vector Spaces, Subspaces, Linear Independence, Coordinates and Basis, Dimension

II-IV

8

MIDTERM

9

Change of Basis, Row Space, Column Space, and Null Space, Rank, Nullity

IV

10

Eigenvalues and Eigenvectors, Diagonalization

II-III-IV

11

Orthogonal Matrices, Orthogonal Diagonalization, Quadratic Forms, Optimization Using Qudaratic Forms

II

12

Hermitian, Unitary, and Normal Matrices,  Linear Transformations, Isomorphism

II-IV-V

13

Compositions and Inverse Transformations

II-IV-VIII

14

Matrices for General Linear Transformations

II-IV-X

Program Outcomes

Level of Contribution

1

2

3

a

An ability to apply knowledge of mathematics, science, and engineering

X

b

An  ability to design and conduct experiments, as well as to analyze and interpret data

X

c

An ability to design a system, component or process to meet desired needs

X

d

Ability to function on multi-disciplinary teams

X

e

An ability to identify, formulate, and solve engineering problems

X

f

An understanding of professional and ethical responsibility

X

g

An ability to communicate effectively

X

h

The broad education necessary to understand the impact of engineering solutions in a global and societal context

X

i

A recognition of the need for, and an ability to engage in life-long learning

X

j

A knowledge of contemporary issues

X

k

An ability to use the techniques, skills and modern engineering tools necessary for engineering practice

X

l

An ability to apply legal, societal and environmental knowledge in maritime transport and in all respective modes of transport operations.

X

m

An ability to interpret and analysis of the data regarding maritime management and operations, recognition and solution of problems for decision making process.

X

Course

Outcomes

I

II

III

IV

V

VI

VII

X

Programme Outcomes

VIII

IX

a

X

X

X

X

X

X

X

X

X

X

b

X

c

X

X

X

X

X

X

d

e

X

X

X

X

X

X

f

g

h

X

X

X

X

X

X

i

j

k

X

X

X

X

X

X

X

X

X

X

l

m

X

X

X

X

X

X

X

X

X

X