TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	1
SEMESTER	Second Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	6
NAME OF LECTURER(S)	Assistant Professor Banu Aytar Instructor Levent Aybak
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.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MATH151)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	This course is a continuation of MAT 151 (Calculus I). Its content comprises of the following concepts: Vector Calculus, Lines, Planes and Surfaces in Space. Functions of Several Variables. Limits and Continuity. Partial and Directional Derivatives. Gradients and Tangent Planes. Extreme Values of Functions and Lagrange Multipliers. Optimization. Numerical and Power series. Maclaurin and Taylor Series. Multiple Integrals in Rectangular, Polar, Cylindrical and Spherical Coordinates. Line Integrals, Green's Theorem in the Plane. Surface Integrals, Gauss and Stokes' Theorems.
COURSE CONTENTS	WEEK TOPICS 1st Week Vectors, Lines, Planes and Surfaces in Space 2nd Week Functions of Several Variables 3rd Week Limits and Continuity 4th Week Partial and Directional Derivatives 5th Week Gradients and Tangent Planes 6th Week Extreme Values of Functions and Lagrange Multipliers 7th Week Optimization 8th Week Midterm Exam 9th Week Numerical and Power series 10th Week Maclaurin and Taylor Series 11th Week Multiple Integrals in Rectangular, Polar, Cylindrical and Spherical Coordinates 12th Week Line Integrals, Green's Theorem in the Plane 13th Week Surface Integrals 14th Week Gauss and Stokes' Theorems
RECOMENDED OR REQUIRED READING	Weir MD, Hass J, Giordano FR (2005) Thomas' Calculus, 11th Ed., Addison-Wesley Adams, R.A., Calculus (2003), 4th Ed., Addison-Wesley Swokowski, E.w., Olinick, M., Pence, D., Calculus (1994), 6th Ed., PWS Publishing Company
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Quiz 12 20 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 12 2 24 Individual or group work Preparation for Final exam 1 40 40 Course hours 14 5 70 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) Final exam 1 2 2 Homework Quiz 12 1 12 Total Workload 180 Total Workload / 30 6 ECTS Credits of the Course 6
LANGUAGE OF INSTRUCTION	English
WORK PLACEMENT(S)	No