Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
502001122010MATHEMATICS IICompulsory126
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
1Be able to provide the tools for the other courses.
2Be able to gain ability of analytic approach to the engineering problems.
3Be able to improve mathematical sense.
4Be 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
WeekTheoreticalPracticeLaboratory
1Functions of several variables
2Partial derivatives
3Tangent planes and differentials
4Lagrange multipliers
5Taylor’s Formula for two variables (Quiz)
6Double integrals
7Double integrals in polar form
8MIDTERM EXAM
9Triple integrals in rectangular coordinates
10Triple integrals in cylindrical and spherical coordinates
11Line integrals
12Green’s theorem in the plane
13Surface area and Surface integrals
14Stokes’ Theorem
15Divergence 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
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Quiz111
Attending Lectures16580
Individual Study for Homework Problems177
Individual Study for Mid term Examination12525
Individual Study for Final Examination12525
Individual Study for Quiz11010
TOTAL WORKLOAD (hours)152
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
LO14 3          
LO24      3     
LO34  33        
LO4 4  3   3 34 
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr