COURSE UNIT TITLE

: ANALYSIS 2

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 1002 ANALYSIS 2 COMPULSORY 3 0 0 5

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ESRA BUKOVA GÜZEL

Offered to

Mathematics Teacher Education

Course Objective

The aim of this course is to understand trigonometric functions, trigonometric relations, trigonometric equation solutions; Riemann sum, definite integral, indefinite integral, integration techniques, applications of integral, improper integrals; series and convergence tests.

Learning Outcomes of the Course Unit

1   To know trigonometric functions, trigonometric relations, solving trigonometric equations, associating these concepts.
2   To comprehend Riemannian sum, definite and indefinite integrals and their differences, to learn integration methods and applications.
3   To calculate improper integrals.
4   To learn series concept and convergence tests.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Trigonometric functions, trigonometric relations, trigonometric equations
2 Riemann sum, integral concept
3 Indefinite integrals, integration rules
4 Indefinite integrals, integration rules
5 Definite integral
6 Definite integrals and applications.
7 Definite integrals and applications
8 Course overview, evaluation and midterm examination
9 Definite integrals and applications
10 Definite integrals and applications
11 Definite integrals and applications
12 Improper integrals
13 Series and convergence tests
14 Series and convergence tests
15 Final Exam

Recomended or Required Reading

Balcı, M. 2008; Matematik Analiz I, Balcı Yayınları, Ankara.
Çoker, D. & O. Özer & K. Taş (1994) Genel Matematik. Ankara: Adım Yayıncılık.
Süer, B. & H. Demir (1984)Freshman Calculus. Ankara: O.D.T.Ü. Yayınları

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, group work

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


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

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm, Final Exam

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 13 3 39
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 15 15
Preparation for final exam 1 15 15
Preparing assignments 1 26 26
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 125

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.1543323
LO.2543323
LO.3543323
LO.4543323