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Syllabus ( MATH 616 )


   Basic information
Course title: Algebra II
Course code: MATH 616
Lecturer: Assist. Prof. Emira AKKURT
ECTS credits: 7.5
GTU credits: 3 (3+0+0)
Year, Semester: 1/2, Fall and Spring
Level of course: Second Cycle (Master's)
Type of course: Area Elective
Language of instruction: Turkish
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: To study simple proof techniques
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Manipulate and develop simple proof techniques

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Mathematics
    2. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    3. Acquire scientific knowledge and work independently
    4. Develop mathematical, communicative, problem-solving, brainstorming skills.
    5. Effectively express his/her research ideas and findings both orally and in writing

    Method of assessment

    1. Homework assignment
  2. Develop an ability of abstract-thinking

    Contribution to Program Outcomes

    1. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    2. Acquire scientific knowledge and work independently
    3. Develop mathematical, communicative, problem-solving, brainstorming skills.
    4. Effectively express his/her research ideas and findings both orally and in writing
    5. Defend research outcomes at seminars and conferences.
    6. Demonstrating professional and ethical responsibility.

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Demonstrate skills of problem-solving and brainstorming

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Mathematics
    2. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    3. Acquire scientific knowledge and work independently
    4. Develop mathematical, communicative, problem-solving, brainstorming skills.
    5. Demonstrating professional and ethical responsibility.

    Method of assessment

    1. Written exam
    2. Homework assignment
   Contents Up
Week 1: Rings
Week 2: Ideals-Factor Rings
Week 3: More Ideals and Factor Rings
Week 4: The field of Quatient an İntegral Domain
Week 5: Finite Field and Weddernburn Theorem on Finite division rings
Week 6: A Theorem of Frobenius
Week 7: Midterm Exam I
Week 8: Extention Fields
Week 9: Root of Polynomials
Week 10: Construction with Straightedge and Compass-
Week 11: The elements of Galois Theory
Week 12: More on Galois Theory
Week 13: Midterm Exam II
Week 14: Galios Groups over the Rationals
Week 15*: -
Week 16*: -
Textbooks and materials: Elements of Abstract Algebra, Allan Clark,
Recommended readings: A first Course in Abstract Algebra, John B. Fraleigh
Advance Modern Algebra, J. J. Rotman,
Topic in Algebra-I.N.Herstain
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 7,13 40
Other in-term studies: 0
Project: 0
Homework: 2,4,6,9,10,11,12,14 10
Quiz: 0
Final exam: 16 50
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 3 14
Practice, Recitation: 0 0
Homework: 8 8
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 2
Mid-term: 2 2
Personal studies for final exam: 15 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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