COURSE INFORMATION Course Title: MATHEMATICS FOR ENGINEERS

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
MTH 202	A	4	3	0	0	4	4

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	NA
Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	Sabri Topsakal
Second Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Classroom and Meeting Time:	A005
Course Description:	Mathematical topics aimed at applications in engineering. Matrices, operations on them. Row-echelon form. Simultaneous linear equations. Square matrices, determinants, matrix inversion. Vector spaces, subspaces, span, linear independence, change of basis, fundamental subspaces, eigenvalue & eigenvector. Vector calculus, surface, volume integrals. Gradient, divergence, curl. Green, Gauss. Stokes’ theorems.
Course Objectives:	1) The student will understand the mathematical concepts and terminology involved in Linear Algebra. 2) The student will gain an acceptable level of computational proficiency involving the procedures in Linear Algebra. 3) The student will be able to apply his or her knowledge to applications of Linear Algebra.

COURSE OUTLINE

Week	Topics
1	System of Linear Equations, Matrices, basic operations on matrices
2	Transpose and Inverse of a matrix, Special matrices, Augmented matrix, Reduced-row echelon form
3	Gauss-Jordan elimination, Pivoting, Rank-Trace-Inverse of a matrix
4	Inverse by Gauss-Jordan Elimination, LU Decomposition, Determinants, Cofactor expansion
5	Properties of Determinants, Using the adjoint to find the inverse Cramer’s Rule
6	Vectors, Vector spaces, Subspaces, Linear combination
7	Span, Linear independence
8	Basis, Dimension of vector space/span/solution space
9	Fundamental subspaces: Row space, column space, null space
10	Eigenvalues, Eigen vectors
11	Applications of eigenvalues and eigen vectors
12	Diagonalization, Powers of a matrix
13	Vector calculus, Line integral
14	Surface and volume integrals in vector calculus

Prerequisite(s):
Textbook:	Engineering mathematics K.A. Stroud -6th edition
Other References:
Laboratory Work:
Computer Usage:
Others:	No

COURSE LEARNING OUTCOMES

1	the basic arithmetic operations on vectors and matrices, including inversion and determinants, using technology where appropriate
2	solving systems of linear equations, using technology to facilitate row reduction
3	the basic terminology of linear algebra in Euclidean spaces, including linear independence, spanning, basis, rank, nullity, subspace, and linear transformation
4	finding eigenvalues and eigenvectors of a matrix or a linear transformation, and using them to diagonalize a matrix
5	understanding the application of integrals to vector calculus

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Bachelor in Civil Engineering (3 years) Program
1	an ability to apply knowledge of mathematics, science, and engineering	5
2	an ability to design a system, component, or process to meet desired needs	5
3	an ability to function on multidisciplinary teams	5
4	an ability to identify, formulate, and solve engineering problems	5
5	an understanding of professional and ethical responsibility	3
6	an ability to communicate effectively
7	the broad education necessary to understand the impact of engineering solutions in a global and societal context
8	a recognition of the need for, and an ability to engage in life long learning
9	a knowledge of contemporary issues	2
10	an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
11	skills in project management and recognition of international standards and methodologies

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Midterm Exam(s)	1	30
Quiz	2	10
Final Exam	1	50
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	3	48
Hours for off-the-classroom study (Pre-study, practice)			0
Mid-terms	1	18	18
Assignments			0
Final examination	1	24	24
Other	1	10	10
Total Work Load:			100
Total Work Load/25(h):			4
ECTS Credit of the Course:			4