Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT251MATHEMATICS IIICompulsory234
Level of Course Unit
First Cycle
Language of Instruction
Turkish
Objectives of the Course
The aimof this course is to give basic concepts andmethods in multivariable functions.
Name of Lecturer(s)
Dr.Öğr.Grv.Filiz ARAS
Learning Outcomes
1To be able to comprehend multivariable functions
2Generalizing previous knowledge to multivariable functions
3Being able to develop mathematical thinking
4Gain the ability to work individually
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Multivariable Funtions Limit and Continuity Partial Derivatives Direction Derivatives and Gradient Vectors Extreme values and saddle point
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Multivariable FuntionsSolving problems with a mentor
2Limits and ContinuitySolving problems with a mentor
3Partial DerivativesSolving problems with a mentor
4Tangent Planes and Normal LinesSolving problems with a mentor
5Higher-Order DerivativesSolving problems with a mentor
6The Chain RuleSolving problems with a mentor
7Linear Approximations, DifferentiabilitySolving problems with a mentor
8Midterm ExamSolving problems with a mentor
9Direction Derivatives and Gradient VectorsSolving problems with a mentor
10İmplicit FunctionsSolving problems with a mentor
11Jacobian DeterminantsSolving problems with a mentor
12Taylor SeriesSolving problems with a mentor
13Extreme Values and Saddle PointSolving problems with a mentor
14Lagrange MultipliersSolving problems with a mentor
15Parametric ProblemsSolving problems with a mentor
16Final Exam
Recommended or Required Reading
1. Robert A. Adams and Christopher Essex, “Calculus A Complete Course”, Pearson, 7th Edition, (Kalkülüs-Eksiksiz Bir Ders”-Cilt II, Prof. Dr. M. Terziler, Doç. Dr. T. Öner, Palme Yayıncılık, 2012), (2010). 2. Stein, S. K. andBarcellos, A., "CalculusandAnalyticGeometry", McGrawHill, (1992) 3. Thomas, G.B., “Thomas’ Calculus”, AddisonWesley (11th edition 2005) 4. Sokolnikoff, I. S., “Advanced Calculus”, McGrawHill (1939) 5. Adams, A.R, ‘’Calculus II’’.
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
Attending Lectures14342
Self Study14342
Reading14228
TOTAL WORKLOAD (hours)114
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
PO
16
PO
17
PO
18
PO
19
PO
20
PO
21
PO
22
PO
23
PO
24
LO1  4   4 44   4   4     3
LO2  4   4 44   4   4     3
LO3  4   4 44   4   4     3
LO4  4   4 44   4   4     3
* 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