LECTURERS
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GALOIS THEORY |
E7A 415 |
98508952 |
gerry@math.mq.edu.au | |
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RING THEORY |
E7A 311 |
98508921 |
street@math.mq.edu.au |
LECTURES
There are four hours of lectures per week:
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Monday |
11am |
E6A109 |
Street |
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Tuesday |
11am |
W5C312 |
Myerson |
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Wednesday |
11am |
W5C234 |
Street |
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Friday |
11am |
W5A204 |
Myerson |
TEXTBOOKS AND REFERENCES
Here are some books with Galois theory, ring theory and more:
ASSESSMENT
S1 + S2 + S3 10%; M1 + M2 6%, MP 14%; Galois Theory Final Exam 30%; Ring Theory Final Exam 40%
WEB SITE
The homepage for this unit is <http://www.math.mq.edu.au/undergraduate/math338.html>.
SYLLABUS
Galois Theory:
Chapters 1 through 4 and 7 through 14 of Stewart:
Ring Theory:
Chapters 1 through 3 of Beachy, excluding the starred sections:
ASSIGNMENTS
There will be three assignments (S1, S2 and S3) on Ring Theory, two (M1 and M2) on Galois Theory, and a project MP on Galois Theory.
Assignments must be submitted by 6pm on the due date as follows:
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You may put your assignments in the relevant assignment box or hand it to the Lecturer after the Wednesday class on the due date. The boxes are located in the corridor between E7A and E7B, near Room E7B 363. You must put your name and student number clearly at the top on the front page. Pages should be securely stapled together, and folder and plastic sleeves must not be used. Poorly presented work will be given the mark of zero (0). Late assignments will not be marked; where there is documented medical or other evidence that it has not been possible to submit in time, a mark consistent with your work on other assignments will be used.
Warm-up Exercises for Ring Theory: pdf file
PRIZES AND SCHOLARSHIPS
The Frederick Chong prize, valued at $250, is awarded annually for proficiency in 300-level mathematics.
http://www.maths.mq.edu.au/fchong/
http://www.cal.mq.edu.au/2001/p3/pt3d_109.htm#The_Frederick_Chong_Mathematics_Prize
A Doris Wallent Scholarship, valued at $3000, is available to a student with a GPA at least 3.25 in 300-level mathematics who will be able to complete mathematics honours by the end of that year. Under the terms of the bequest preference will be given to a suitably qualified female student.
http://www.cal.mq.edu.au/2001/p3/pt3d_108.htm#Doris_Wallent_Scholarships_in_Mathematics
Macquarie University Innovation Scholarships
http://www.cal.mq.edu.au/2001/p3/pt3d_108.htm#Macquarie_University_Innovation_Scholarships
EXPECTED PARTICIPATION
Students are expected to demonstrate their participation in this unit by satisfying the following:
a reasonable attempt on the project and on at least four of the five assignments.
Please contact one of the lecturers in case of difficulty over this.
Withdrawal
Your attention is drawn to the following deadline:
Tuesday 31 August: Last day for students to lodge a "Change of Program" form to discontinue the unit and to be regarded as not effectively enrolled (NE). See page 89 of the 2004 Macquarie University Handbook of Undergraduate Studies.
If you submit a form to withdraw after 31 August, you will be awarded the grade FW. A grade of W (withdrawal without academic penalty) will only be awarded in the case of fully documented "unavoidable disruption". See pages 36, 37, 38 and 89 of the 2004 Macquarie University Handbook of Undergraduate Studies.
Plagiarism
Plagiarism involves using the work of another person and presenting it as one's own. Any of the following acts constitutes plagiarism unless the source of each quotation or piece of borrowed material is clearly acknowledged:
Encouraging or assisting another person to commit plagiarism is a form of improper collusion and may attract the same penalties which apply to plagiarism.
Any student suspected of plagiarism may be asked for an explanation in the first instance. If no satisfactory explanation is forthcoming, the student may be penalized by being awarded negative full marks for the assignment(s) concerned. Any further infringement will be reported to the University for consideration by the Disciplinary Committee.
Please see the section concerning plagiarism on pages 42-43 in the 2004 Handbook of Undergraduate Studies.
Special Consideration
If illness or misadventure make it impossible for you to sit for the final examination, or interfere significantly with your performance in the examination, you are permitted to request "special consideration". If we are satisfied (eg, by your previous performance in the unit, or by the quality of work you have been able to produce in the examination) that there is evidence that you have not been able to show your true ability, we may decide to invite you to sit for a special examination to resolve your grade for the unit.
Notes
Learning Outcomes and Grades
The outcome of this unit is an understanding of the various topics that are presented.
The level of understanding is reflected in the grade awarded.
For an explanation of the grades, please see Rule 10 of Bachelor Degree Rules, concerning grades, on pages 88-89 in the 2004 Handbook of Undergraduate Studies.
Generic Skills
The Macquarie experience is designed to lead students to a career in the city and a place in the world. It encourages life-long learning and links teaching to cutting-edge research.
Macquarie seeks to develop generic skills for students, building flexible outcomes for life and for the workplace over a life's career. These skills include:
Mathematics is an ideal medium to learn problem solving skills. Many problems occurring in the real world can be described as mathematical problems, and are then investigated thoroughly using all the mathematical techniques available. The solutions are then interpreted in suitable ways to provide answers to the original problems. In this unit, you will be trained in a number of these mathematical techniques, as well as some of the ways to apply them.
Survey
A small questionnaire concerning this unit is on the web. Please take a few moments during the last week of the semester to answer the questions and add any comments you deem appropriate.
The address is http://rutherglen.ics.mq.edu.au/~macqtex/feedback.html