PURE MTH 7073 - Finite Geometry
North Terrace Campus - Semester 2 - 2018
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General Course Information
Course Details
Course Code PURE MTH 7073 Course Finite Geometry Coordinating Unit Mathematical Sciences Term Semester 2 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Contact Up to 3 hours per week Available for Study Abroad and Exchange Y Prerequisites MATHS 1012 Assumed Knowledge PURE MTH 2106 Biennial Course Offered in even years Assessment Examinations 70%, Ongoing assessment 30% Course Staff
Course Coordinator: Dr Susan Barwick
Course Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
- Demonstrate a deep understanding of the axiomatic approach to projective spaces.
- Be able to perform calculations in Desarguesian planes and projective 3-spaces.
- Classify the structure of collineations of projective planes.
- Demonstrate an understanding of the theory of conics in field planes.
- Apply the theory to solve problems of varying levels of difficulty.
- Demonstrate skills in communicating mathematics orally and in writing.
University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Deep discipline knowledge
- informed and infused by cutting edge research, scaffolded throughout their program of studies
- acquired from personal interaction with research active educators, from year 1
- accredited or validated against national or international standards (for relevant programs)
1,2,3,4,5 Critical thinking and problem solving
- steeped in research methods and rigor
- based on empirical evidence and the scientific approach to knowledge development
- demonstrated through appropriate and relevant assessment
1,2,3,4,5 Teamwork and communication skills
- developed from, with, and via the SGDE
- honed through assessment and practice throughout the program of studies
- encouraged and valued in all aspects of learning
56 Career and leadership readiness
- technology savvy
- professional and, where relevant, fully accredited
- forward thinking and well informed
- tested and validated by work based experiences
5,6 Intercultural and ethical competency
- adept at operating in other cultures
- comfortable with different nationalities and social contexts
- able to determine and contribute to desirable social outcomes
- demonstrated by study abroad or with an understanding of indigenous knowledges
6 Self-awareness and emotional intelligence
- a capacity for self-reflection and a willingness to engage in self-appraisal
- open to objective and constructive feedback from supervisors and peers
- able to negotiate difficult social situations, defuse conflict and engage positively in purposeful debate
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Learning Resources
Required Resources
None.Recommended Resources
The material in the course is closely related to the text book:
L.R.A. Casse, Projective Geometry, An Introduction.Online Learning
This course uses MyUni exclusively for providing electronic resources, such as lecture notes, assignment papers, etc. -
Learning & Teaching Activities
Learning & Teaching Modes
The lecturer guides the students through the course material in 30
lectures. Students are expected to engage with the material in the
lectures. Interaction with the lecturer and discussion of any
difficulties that arise during the lecture is encouraged. Students are
expected to attend all lectures. In fortnightly tutorials students work
on assigned exercises and discuss them with the lecturer and each other.
Fortnightly homework assignments help students strengthen their
understanding of the theory and their skills in applying it, and allow
them to gauge their progress. A flipped learning component provides an
active learning environment when students prepare material before the
lectures and during the lecture students work in small groups on
assigned exercises. Further, online multiple choice quizzes are used to
reinforce the concepts taught in lectures.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload Hours Lectures 30 90 Tutorials 5 25 Online Quizzes 6 Assignments 5 35 Total 156 Learning Activities Summary
Lecture Outline- Projective Planes, 3 lectures (extended Euclidean plane, finite projective planes)
- Projective space, 2 lectures (extended Euclidean 3-space, r-dimensional projective space)
- Field Planes, 3 lectures (fields, homogeneous coordinates, subplanes)
- Collineations, 7 lectures (eomographies, automorphic collineations, fundamental theorem of field planes, central collineations, elations, homologies)
- PG(r,F), 1 lecture
- Conics in PG(2,F), 6 lectures (J's equation, polarity, conics when charF=2, conics in the real projective plane)
- Combinatorial structures (latin squares, incidence matrices, difference sets), 8 lectures
Small Group Discovery Experience
The final topic on Combinatorial Structures will be conducted in a flipped classroom mode, and students will work in small groups of 2-3 students during the lecture time slots. -
Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Assessment Summary
Assessment Task Weighting Learning Outcomes exam 70% all assignments 15% all tutorials and quizzes 15% all Assessment Related Requirements
An aggregate score of 50% is required to pass the course.Assessment Detail
Assignments are due in weeks 3, 5, 7, 9, 11, each is worth 3%, contributing a total of 15%.
Tutorials and online quizzes will be regularly held to enable active learning. These contribute a total of 15%.Submission
Homework assignments must be submitted on time with a signed assessment cover sheet. Late assignments will not be accepted. Assignments will be returned within two weeks. Students may be excused from an assignment for medical or compassionate reasons. Documentation is required and the lecturer must be notified as soon as possible.Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through .
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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
- Careers Services
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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Fraud Awareness
Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zero-tolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's student鈥檚 disciplinary procedures.
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