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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MTÖ 2013 VECTORAL ANALYSIS ELECTIVE 2 0 0 2

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To teach the concepts about vectors used in several areas of mathematics. To consolidate the concepts about vectors used in Analysis II Course.

Learning Outcomes of the Course Unit

1   To examine the characteristics of the vectors. 2   To define the Frenet vectors and use in daily life. 3   To define the Darboux vectors and use in daily life. 4   To examine the characteristics of the vector functions. 5   To examine the characteristics of the tensors and torsors.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 The definition and characteristics of vectors. 2 Vector kinds. 3 The inner, exterior product and mixed scalar product in vectors 4 Vector areas 5 Vector functions 6 Frenet vectors 7 Darboux vector 8 Midterm exam 9 The Taylor formula in the vector functions 10 Sliding vectors 11 Tangent vectors 12 Gradient, rotational and divergence vector areas 13 Torsors 14 Tensors 15 Final exam

Recomended or Required Reading

References regarding the vector analysis.

Planned Learning Activities and Teaching Methods

Lecturing, presentations

Assessment Methods

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

suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Theoritical 13 2 26 Pre class self study 12 1 12 Midterm preparation 1 5 5 Final preparation 1 8 8 Paper preparation 1 3 3 Final exam 1 1 1 Midterm exam 1 1 1 TOTAL WORKLOAD (hours) 56

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 PO.11 PO.12 PO.13 PO.14 PO.15 LO.1 3 3 LO.2 4 3 3 LO.3 4 3 3 LO.4 3 3 LO.5 3 3