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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS EMT 2004 ADVANCED MATHEMATICS II COMPULSORY 3 0 0 4

Offered By

Econometrics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR EMRAH GÜLAY

Offered to

Econometrics (Evening) Econometrics

Course Objective

The main objective of the course is to give the student definitons of difference equations and differential equations and solving methods of them, also related applications of statistics and economics.

Learning Outcomes of the Course Unit

1   To be able to define difference equations and represent its solving methods. 2   To be able to classify differential equations and express solving methods. 3   To be able to solve differential equations in statistics and economy. 4   To be able to gain ability of understanding numerical analysis methods which can be used to solve inter disciplines problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Finite differences and first degree difference equations and solutions. 2 Second degree difference equations and solutions. 3 Classification of differential equations, solutions, beginning and range value problems, differential equations in basic type. 4 First degree differential equations, differential equations which can be a part in variables. 5 Whole differential equations, integral multiplier, homogenous differential equations. 6 Linear differential equations. 7 Non-linear differential equations. 8 Linear and non-linear differantial equations applications 9 Mid_term 10 The applications of first degree differential equations in statistics and econoımy I 11 The applications of first degree differential equations in statistics and economy II 12 High degree differential equations-Linear indepented functions, Wronskian determinant. 13 Constant coefficient homogenous differential equations, Constant coefficient non-homogenous differential equations. 14 Cauchy-Euler equation, second degree differential equations in statistics applications. 15 Solving linear differential equations with serials- solution with power serial, solution near singular points; Frobenius method.

Recomended or Required Reading

1- DIFFERENCE EQUATIONS (W.G KELLEY & A.C. PETERSON) 2- DIFFERENTIAL EQUATIONS & BOUNDARY VALUE PROBLEMS (C.H. EDWARDS D.E.PENNEY) 3- ELEMENTARY DIFFERENTIAL EQUATIONS & BOUNDARY VALUE PROBLEMS (W.E BOYCE R.C DI PRIMA)

Planned Learning Activities and Teaching Methods

This course will be presented using class lectures, class discussions, overhead projections, and demonstrations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 MTEG MIDTERM GRADE MTEG * 1 3 FIN FINAL EXAM 4 FCGR FINAL COURSE GRADE MTEG * 0.40 + FIN * 0.60 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTEG * 0.40 + RST * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 3 42 Preparations before/after weekly lectures 12 2 24 Preparation for midterm exam 1 15 15 Preparation for final exam 1 27 27 Midterm 1 1 1 Final 1 1 1 TOTAL WORKLOAD (hours) 110

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 LO.1 1 LO.2 1 LO.3 1 LO.4 1