COURSE UNIT TITLE

: FIELD ELC. 3 (CALCULUS IV)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 2016 FIELD ELC. 3 (CALCULUS IV) ELECTIVE 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ŞERIFE FAYDAOĞLU

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To understand the analysis subjects and to use them effectively in professional fields. To gain analytical thinking ability, to produce solutions to complex problems, to show the importance and purpose of mathematics.

Learning Outcomes of the Course Unit

1   Understand coordinate systems
2   Define multiple integrals over planar and solid regions
3   Multiple integrals; to be able to use in applications by associating with the concepts of area, volume, mass and energy
4   Understand integration in vector fields
5   Know the usage areas of multiple integrals in daily life and can produce solutions against complex structures

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Coordinate systems; Orthogonal (Cartesian), Polar, Cylindrical, Spherical coordinates
2 Double integrals in cartesian and polar coordinates
3 Geometric and physical applications of double integrals
4 Triple integrals in cartesian coordinates
5 Triple integrals in cylindrical and spherical coordinates
6 Geometric and physical applications of triple integrals
7 Variable transformations of multiple integrals
8 Midterm exam
9 Vector field, Integration in vector fields
10 Line integrals, calculating curve integrals with Green's theorem
11 Surface area and surface integrals
12 Fundamental theorems of surface integrals, Stoke's Theorem
13 Divergence theorem
14 Uses of multiple integrals in daily life
15 Final exam

Recomended or Required Reading

1. Thomas G.B. and Finney R.L. Calculus and Analytic Geometry, Cilt II, Addison-wesley, New York, 1994.
2. Edwards&Penney Matematik Analiz ve Analitik Geometri, Cilt II, Çeviri Editörü: Prof. Dr. Ömer Akın, Palme yayıncılık.
3. Mustafa Balcı, Matematik Analiz, Cilt 2

Planned Learning Activities and Teaching Methods

Presentation, question and answer, application, group work, homework, software programs used in mathematics education.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm exams and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr

Office Hours

Friday: 11.00-12.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 91

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.1555555555525555
LO.2555555555525555
LO.3555555555525555
LO.4555555555525555
LO.5555555555525555

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

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