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)	Assistant Professor Gencay Oğuz
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	Complex numbers, Formula of Euler, Finding complex roots, The Fundamental Theorem of Algebra. Complex analytical functions. Vector valued functions. Space curves. Derivative of vector functions. Integral of vector functions. Length of a curve. Multiple integrals. Areas, Moments and Centers of mass in the plane. Masses and Moments in space. Triple integrals in Cylindrical and Spherical coordinates. Integration in Vector fields. Theorem of Green. Surface integrals. Theorem of Stokes. Divergence theorem. Fourier series.
COURSE CONTENTS	WEEK TOPICS 1st Week Complex Number. Arithmetic Operations of Complex Number. Polar Forms of Complex Number. Euler?s Formula. 2nd Week Powers and roots of complex numbers. Fundamental Theorem of Calculus. 3rd Week Complex Functions. Limits and Continuity. 4th Week Analytic Functions. Cauchy-Riemann Equations. Harmonic Functions. 5th Week Vector-valued Function. Limits and Continuity. Differentiation Rules for Vector Functions. 6th Week Space Curves. TNB Frame. 7th Week Integrals of Vector Functions. Arc Length. 8th Week Midterm Exam. 9th Week Multiple Integrals. Double Integrals. Triple Integrals 10th Week Line Integrals. Line Integrals of Vector Functions. Path Independent Line Integrals. Potential Functions and Conservative Fields. 11th Week Green's Theorem. Surface Integrals. Stoke?s Theorem. 12th Week Divergence Theorem. 13th Week Graph Theory. 14th Week Review.
RECOMENDED OR REQUIRED READING	Finney, R.L., Weir, M.D., Giordano, F.R. (2001) Thomas` Calculus: Early Transcendentals /10E, Addison Wesley; Greenberg, M.D. (1998) Advanced Engineering Mathematics /2E, Prentice-Hall; Edwards, C.H., Penney, D. (1997) Calculus with Analytic Geometry /5E, Prentice-Hall.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Quiz 2 20 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 2 5 10 Individual or group work 0 0 0 Preparation for Final exam 1 45 45 Course hours 14 4 56 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) 0 0 0 Final exam 1 2 2 Homework 0 0 0 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