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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LMÖ 3001 ALGEBRA COMPULSORY 4 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

Learning definitions properties and areas of applications of main algebraic concepts; groups, rings and fields

Learning Outcomes of the Course Unit

1   Conceptualising group and its properties, subgroups, cyclic groups. Being able to do proofs and exercises. 2   Permutations, symmetric groups. 3   Cosets, Lagrange theorem, proofs and exercises. 4   Group homeomorphisms, isomorphisms. 5   Conceptualising rings and its properties Being able to do applications of algebraic concepts. Polynomial rings. 6   Conceptualising field, Burnside theorem and its properties Being able to do applications of algebraic concepts.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Group definition and examples 2 Cyclic groups 3 Permutations, symmetric groups 4 Permutation group exercises 5 Cosets, Lagrange theorem 6 Group homomorphisms, isomorphisms 7 Related theorems, exercises 8 General review, course evaluation, midterm exam 9 Rings, subrings definitions and examples 10 Prime, maximal ideals 11 Homomorphisms, polynomial rings 12 Fields, Burnside theorem 13 g-groups 14 For n>4, simplicity of An 15 Final exam

Recomended or Required Reading

Çallıalp, F. (1995), Cebir, Sakarya Üniversitesi Matbaası, Sakarya.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer

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 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)

sevgi.morali@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 13 4 52 Preparation for midterm exam 1 2 2 Preparation for final exam 1 2 2 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 110

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 PO.16 PO.17 PO.18 LO.1 5 4 3 3 2 3 LO.2 5 4 3 3 2 3 LO.3 5 4 3 3 2 3 LO.4 5 4 3 3 2 3 LO.5 LO.6