COURSE UNIT TITLE

: ANALYSIS VI

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 2022 ANALYSIS VI COMPULSORY 4 0 0 6

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ADEM ÇELIK

Offered to

Mathematics Teacher Education

Course Objective

To learn applications of derivatives, extrema and absolute extrema of functions and points of extremum problems in a variety of applications. Rolle's and Mean Value Theorems. Finite Taylor's Theorem. L'Hospital Rule, and calculation of the limit with the help of this rule. To examine the change of functions and draw their graphs, differential and linear increase. Integrals, indefinite integrals, techniques of integration, definite integrals, area and volume calculations of definite integral, applications in various fields to use to grasp and solve problems in different fields.

Learning Outcomes of the Course Unit

1   To be able to take derivatives and integrals of real functions of a single real variable.
2   To be able to know, express and use the specific theorems (Rolle's and Mean Value Theorems, Finite Taylor's theorem, L'Hospital's rule).
3   To be able to compare definite and indefinite integrals Integral and to establish relationships with the concepts such as derivative, limit and continuity.
4   To be able to recognize errors and to explain the difference.
5   To be able to use derivatives and integrals in problem solving and mathematical modeling.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Derivative applications
2 extrema and absolute extrema points of the real functions of one real variable, extremum problems
3 Rolle's and Mean value problems, finite Taylor's Theorem.
4 L 'Hopital's Rule, and calculation of the limit with this rule
5 Increasing-decreasing, concavity in function and correlating them with first and second derivative
6 The concept of differential
7 Changes of functions and graph plotting
8 Midterm Exam
9 The concept of integral
10 Indefinite integrals,
11 Rules of integration
12 Definite integrals
13 Applications of integration, definite integral when calculating area and volume.
14 Using a specific surface area and arc length by using integral, Definite integrals and applications in various fields.
15 Final Exam

Recomended or Required Reading

Thomas, G. B., Weir, M. D., Hass, J. & Giordano, F. R. (2010). Thomas Calculus I-II (2. Baskı, Çeviri: Recep Korkmaz). Beta Basım A.Ş. Istanbul.
Edwards, C. E. & Penney, D. E. (2001). Matematik Analiz ve Analitik Geometri I-II. Editör: Ömer Akın, Palme Yayıncılık, Ankara.
Marsden, J. & Weinstein, A. (1980). Calculus. Benjamin/Cummings Publishing.
Hasting, N. B. (editor) (1996). Workshop Calculus: Guided Exploration with Review Valume 1. Springer.
Çoker, D. & O. Özer & K. Taş (1994) Genel Matematik. Ankara: Adım Yayıncılık.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, colaborative learning.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 STT TERM WORK (SEMESTER)
3 FINS FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + STT * 0.10 + FINS * 0.60
5 RST RESIT
6 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)

esra.bukova@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Theoretical 13 4 52
Application 13 2 26
Preparations before/after weekly lectures 13 3 39
Preparation for final exam 1 15 15
Preparation for midterm exam 1 10 10
Preparing assignments 2 6 12
Preparing presentations 1 2 2
Final Exam 1 2 2
Midterm Exam 1 2 2
TOTAL WORKLOAD (hours) 160

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.155332
LO.255332
LO.355332
LO.455332
LO.555332

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 2012 DEÜ. BİD

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