Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits 502001122010 MATHEMATICS II Compulsory 1 2 6
Level of Course Unit
First Cycle
Objectives of the Course
The aim of course is to provide the tools for the other courses and gain the ability of systematic and analytic approach to the problems for textile engineering students
Name of Lecturer(s)
Assist. Prof. Dr. Ayşegül ÇAKSU GÜLER, Öğr. Gör. Dr. Ahmet HAMAL
Learning Outcomes
 1 Be able to provide the tools for the other courses. 2 Be able to gain ability of analytic approach to the engineering problems. 3 Be able to improve mathematical sense. 4 Be able to gain ability of study individual.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Functions of several variables, Partial derivatives, Tangent planes and differentials, Lagrange multipliers, Taylor’s Formula for two variables, Double integrals, Double integrals in polar form, Triple integrals in rectangular coordinates, Triple integrals in cylindrical and spherical coordinates, Line integrals, Green’s theorem in the plane, Surface area and Surface integrals, Stokes’ Theorem, Divergence Theorem.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1 Functions of several variables 2 Partial derivatives 3 Tangent planes and differentials 4 Lagrange multipliers 5 Taylor’s Formula for two variables (Quiz) 6 Double integrals 7 Double integrals in polar form 8 MIDTERM EXAM 9 Triple integrals in rectangular coordinates 10 Triple integrals in cylindrical and spherical coordinates 11 Line integrals 12 Green’s theorem in the plane 13 Surface area and Surface integrals 14 Stokes’ Theorem 15 Divergence Theorem 16 FINAL EXAM
1. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992) 2. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"
Assessment Methods and Criteria
 Term (or Year) Learning Activities Quantity Weight SUM 0 End Of Term (or Year) Learning Activities Quantity Weight SUM 0 SUM 0
Language of Instruction
Turkish
Work Placement(s)
None