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 corequisities 
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 

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   

Recommended or Required Reading 
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   Language of Instruction  Turkish  Work Placement(s)  None 

Workload Calculation 