TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	Professor Halil İbrahim Karakaş
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Make calculations with univariate and multivariate functions, evaluate the ability to apply these calculations into reallife problems. 2) Calculate interest, anuity and amortisation. 3) Solve exchange ratio and maximum-minimum problems. 4) Can clculate integrals, make rant analysis. 5) Solve differential equations and equation systems and apply on problems. 6) Have knowledge about matrices and determinants and solve linear equation systems.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	The aim of this course is to understand and practice actuarial mathematic methods in insurance and risk management area.
COURSE CONTENTS	WEEK TOPICS 1st Week Polar coordinates, analytic geometry in three dimensional space 2nd Week Vectors in the plane and in space, skaler multiplied, vectorial product, mixed product and applications 3rd Week Definition of functions of several variables, domain sets, limit and continuity 4th Week Partial derivatives, higher-order derivatives, the chain rule 5th Week Extreme values, lagrange multipliers 6th Week Double integrals in cartesian and polar coordinates, 7th Week Coordinate transformations 8th Week Midterm 9th Week Vectors in plane and in three dimensional space. Algebra of vectors. Lines, planes and curves in space. 10th Week Differential equations, seperable equations, homogeneous equations 11th Week Exact equations and integrating factors, firs-order linear equations. 12th Week Complex numbers , properties, geometric representation, complex conjugates, the polar form, product, powers 13th Week Functions of a complex variable, limits, theorems on limits and continuity, the derivative, differentiation formulas 14th Week The exponential function, the trigonometric functions,the hyperbolic funtions, the logatrithmic function, the root function
RECOMENDED OR REQUIRED READING	Adams, R. A., Calculus: a complete course, 6th edition, Pearson/Addison Wesley, 2006 Kolman, B., Introductory Linear Algebra with applications, Prentice Hall, 1997 Barnett, R. A., Ziegler, M. R., Byleen, K. E., Calculus, 11th edition, Pearson International Edition, 2008 Barnett, R. A., Ziegler, M. R., Byleen, K. E., Finite Mathematics, 11th edition, Pearson International Edition, 2008 Ross, S. L., Differential Equations, John Wiley and Sons, 1993
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Discussion,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Assignment 1 10 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 3 3 Preparation for Quiz Individual or group work 14 10 140 Preparation for Final exam 1 45 45 Course hours 14 3 42 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) Final exam 1 3 3 Homework 1 40 40 Total Workload 303 Total Workload / 30 10,1 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No