TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	2
SEMESTER	Third Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	Associate Professor Müjdat Kaya
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises. 2) Solidify the patterns of rational or mathematical (and therefore exact) thinking. 3) Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular. 4) Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision. 5) Develop problem-solving skills. 6) Will be able to apply the Engineering Mathematics knowledge for solving science and engineering problems. 7) Acquire the ability of keeping up with the constantly changing science, technology and engineering methods.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MATH152)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION	Matrices. Matrix operations. Determinant of a matrix. Properties of determinants. Inverse of matrix. Systems of linear equations. Cramer's rule. Gaussian elimination method. Gauss-Jordan method. Vector spaces. Subspaces. Span. Linear independence. Basis. Dimension. Linear transformations. Matrix representation of linear transformations. Change of basis. Eigenvalues and Eigenvectors. Diagonalization of a matrix. Double integrals. Line integrals. Line integrals of vector functions. Path independent line integrals. Potential functions and conservative fields. Green's theorem. Surface integrals. Stokes' theorem. Divergence theorem. Complex numbers. Arithmetic operations of complex numbers. Polar forms of complex numbers. Euler's formula. Power and root of a complex number.
COURSE CONTENTS	WEEK TOPICS 1st Week Matrices. Matrix Operations. Determinant of a Matrix. 2nd Week Properties of Determinants. Inverse of Matrix. 3rd Week Systems of Linear Equations. Cramer?s Rule. Gaussian Elimination Method. Gauss-Jordan Method. 4th Week Vector Spaces. Subspaces. Span. Linear Independence. Basis. Dimension. 5th Week Linear Transformations. Matrix Representation of Linear Transformations. 6th Week Change of Basis. Applications. Quiz I. 7th Week Eigenvalues and Eigenvectors. Diagonalization of a Matrix. 8th Week Midterm Exam 9th Week Double Integrals. Line Integrals. Line Integrals of Vector Functions. 10th Week Path Independent Line Integrals. Potential Functions and Conservative Fields. 11th Week Green's Theorem. Surface Integrals. Stokes' Theorem. 12th Week Divergence Theorem. Quiz II. 13th Week Complex Numbers. Arithmetic Operations of Complex Numbers. Polar Forms of Complex Numbers. 14th Week Euler's Formula. Power and Root of a Complex Number.
RECOMENDED OR REQUIRED READING	Reference: Thomas Jr., G.B., Weir, M.D., Hass, J.R., Giordano, F.R. Thomas' Calculus, 11th edition, Pearson, 2005. Brown, J.W., Churchill, R.V. Complex Variables and Applications, 9th edition, McGraw Hill, 2013. Kreyszig, E. Advanced Engineering Mathematics, 10th edition, Wiley, 2011. Additional Resources: Adams, R.A., Essex, C. Calculus a Complete Course, 7th edition, Pearson, 2010.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Quiz 2 15 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 2 5 10 Individual or group work Preparation for Final exam 1 45 45 Course hours 14 4 56 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) Final exam 1 2 2 Homework Quiz 2 1 2 Total Workload 147 Total Workload / 30 4,9 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	English
WORK PLACEMENT(S)	No