Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT164MATHEMATICS IICompulsory124
Level of Course Unit
First Cycle
Language of Instruction
Turkish
Objectives of the Course
Mathematics is of essential importance for students to give the ability of systematic and analytic approach to the problems.
Name of Lecturer(s)
Matematik Bölümü Öğretim Elemanları
Learning Outcomes
1to gain ability of analytic approach to the problems
2to provide the tools for the other courses
3to understand the connection between integral and real life problems by being given examples of the application areas of both definite and indefinite integral.
4to improve mathematical sense
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Riemannn integrals and properties, mean value theorems on integrals, change of variables, indefinite integrals and the methods of finding primitive, improper integrals and convergence, applications of the definite integrals( area, volume, area of surface), numerical series and convergence properties of series.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
0Partition , lower sum and upper sum
1Riemannn integrals and properties
2Theorems of integrals
3Method of change of variables, at definite integrals.
4 Indefinite integrals and the methods of finding primitive,
5Trigonometric integrals
6Rational function integrals
7Midterm exam
8Improper integrals
9Convergence at improper integrals
10Area
11Volume
12Area of surface
13 Length of arc
14 Numerical series and convergence properties of series
15Final
Recommended or Required Reading
TEXTBOOK/RECOMMENDED 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 sections 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
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14228
Individual Study for Homework Problems3927
Individual Study for Mid term Examination12020
Individual Study for Final Examination12525
Homework339
TOTAL WORKLOAD (hours)113
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
PO
14
PO
15
LO154  2          
LO24              
LO35 5 4    3     
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