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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS EMT 2007 ADVANCED MATHEMATICS I COMPULSORY 3 0 0 4

Offered By

Econometrics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR SERKAN ARAS

Offered to

Econometrics Econometrics

Course Objective

The main objective of the course is to give the student definitons of multi variable functions and using limit , derivative and integral rules on them.

Learning Outcomes of the Course Unit

1   To be able to apply analysis methods in multi variety functions. 2   To be able to apply advanced levels of numerical analysis methods in solving inter-disciplines problems 3   To be able to research max and min values of multi variety functions. 4   To be able to research extremum value of multi variety functions in certain constraint. 5   To be able to define multi integrals and evaluate fields in multi variety functions.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Double or multi variety functions 2 Double variety functions limit and contuinity 3 Partial derivate definition, high order partial derivates. 4 Whole Differantial, chain rule for multi variety functions 5 Homogenous function and Jacobian determinant, 6 Homogenous functions Euler theorem 7 Leibniz s rule, directional derivate and Gradient vector 8 Mid-term 9 Mid-term 10 Max, min and if values. 11 Lagrange multiplicates method 12 Multi integrals, multi integral properties 13 Districted area in plane 14 Changing variables in multi integral

Recomended or Required Reading

1- CALCULUS (GEORGE B.THOMAS) 2- CALCULUS (LAURENCE D.HOFFMANN &GERALD L.BRADLEY) 3- CALCULUS (ROBERT A.ADAMS)

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 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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 12 3 36 Preparations before/after weekly lectures 12 2 24 Preparation for midterm exam 1 20 20 Preparation for final exam 1 28 28 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 LO.5 1