Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
502001052010MATHEMATICS ICompulsory116
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)
Öğr. Gör. Dr. Ahmet HAMAL
Learning Outcomes
1to provide the tools for the other courses
2to gain ability of analytic approach to the engineering problems
3to improve mathematical sense
4to gain ability of study individual
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
• Numbers • Functions • Limits and continuity concept at functions • Derivative and its applications • Drawing of graphs • Indefinite integrals and the methods of finding primitive • indefinite integral methods • Riemannn integrals and properties • Mean value theorems on integrals • Aplications of the definite integrals( area, volume, lengths of curves, area of surface) • Improper integrals
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
0 Numbers and functions Guided problem solving
1 The properties of functions and function types Guided problem solving
2The limit conceptGuided problem solving
3ContinuityGuided problem solving
4 The definition of derivative, Derivative rules Guided problem solving
5The theorems of derivativeGuided problem solving
6 Optimization, Drawing of graphs Guided problem solving
7Midterm Exam
8Indefinite integrals and the methods of indefinite integralsGuided problem solving
9Partition , lower sum and upper sumGuided problem solving
10Riemannn integrals and propertiesGuided problem solving
11Theorems of integralsGuided problem solving
12 Area and volume Guided problem solving
13 Lengths of arc and area of surface Guided problem solving
14Improper integralsGuided problem solving
15Final
Recommended or Required Reading
1. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005) 2. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
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
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Sınavı1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures16580
Individual Study for Mid term Examination22550
Individual Study for Final Examination23060
TOTAL WORKLOAD (hours)194
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  3 
LO24 3     3    
LO3           4 
LO4             
* 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