COURSE UNIT TITLE

: GENERAL MATHEMATICS II

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FBÖ 1010 GENERAL MATHEMATICS II COMPULSORY 4 0 0 5

Offered By

Science Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR MEHMET ŞAHIN

Offered to

Science Teacher Education
Science Teacher Education

Course Objective

To examine the development of the theoretical structure of the differential and integral calculation and interpret this.

Learning Outcomes of the Course Unit

1   will be able to express the conditions of existing of the mathematical functions with one unknown variable and state these functions mathematically
2   will be able to do calculations regarding derivative and inegral of the functions with one unknown variable
3   will be able to explain and use the Rolle Theorem, Mean Value Theorem, Finite Taylor Theorem and L hospital
4   will be able to compare definite integral and derivative concepts and interrelate these concepts with limit and continuousness concepts
5   will be able to solve problems by using derivative and integral, do modelling.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The limit concept in the functions with one unknown variable and their applications
2 The continouness concept in the functions with one unknown variable and their applications
3 The derivative concept in the functions with one unknown variable
4 The derivative formulas in the functions with one unknown variable
5 The derivatives of the trigonometric, exponential, hyperbolic functions and their adverse functions, and high degree derivatives
6 The ekstremum and absolute ekstremum points of the functions, ekstremum problems
7 The ekstremum and absolute ekstremum points of the functions, ekstremum problems
8 Midterm exam
9 Rolle Theorem, Mean Value Theorem, Finite Taylor Theorem and L hospital and limit calculations with these theorems
10 The integral concept, indefinite integrals
11 Problem solving
12 Definite integrals
13 The area and volume calculations by using definite integral
14 The area and volume calculations by using definite integral
15 Final exam

Recomended or Required Reading

Balcı, A. (1997). Analiz I, Ertem Basın Yayın Dağıtım.
Çoker,D. & O. Özer & K. Taş (1994) Genel Matematik. Ankara: Adım Yayıncılık.
Genel Matematik - Ahmet Dernek

Planned Learning Activities and Teaching Methods

Literacy, Problem solving, Class discussion, Group discussion

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Ara Sınav
2 FN Yarıyılsonu Sınavı
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 13 13
Preparation for final exam 1 13 13
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 119

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.154
LO.245
LO.345
LO.445
LO.54