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 Gencay Oğuz Assistant Professor Banu Aytar Instructor Nazlıcan Çakmak
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) . 7) .
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MAT151)
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 Sequences and Series 2nd Week Tests for Convergence 3rd Week Alternating Series, Power Series, Taylor and Maclaurin Series 4th Week Vectors, Lines, Planes and Surfaces in Space 5th Week Functions of Several Variables 6th Week Limits and Continuity 7th Week Partial and Directional Derivatives 8th Week Midterm Exam 9th Week Gradients and Tangent Planes 10th Week Extreme Values of Functions and Lagrange Multipliers 11th Week Double Integrals in Rectangular and Polar Coordinates 12th Week Applications of Double Integrals 13th Week Line Integrals, Green's Theorem in the Plane 14th Week Triple Integrals in Rectangular and Cylindrical Coordinates
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 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 10 2 20 Individual or group work 7 2 14 Preparation for Final exam 1 40 40 Course hours 14 5 70 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 180 Total Workload / 30 6 ECTS Credits of the Course 6
LANGUAGE OF INSTRUCTION	English
WORK PLACEMENT(S)	No