PURE MTH 3023 - Fields and Modules III
North Terrace Campus - Semester 2 - 2017
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General Course Information
Course Details
Course Code PURE MTH 3023 Course Fields and Modules III Coordinating Unit Mathematical Sciences Term Semester 2 Level Undergraduate 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, PURE MTH 3007 Assessment ongoing assessment 30%, exam 70% Course Staff
Course Coordinator: Dr Peter Hochs
Course Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
1 Demonstrate understanding of the concepts of a field and a module and their role in mathematics. 2 Demonstrate familiarity with a range of examples of these 最新糖心Vlog. 3 Prove the basic results of field theory and module theory. 4 Explain the structure theorem for finitely generated modules over a principal ring and its applications to abelian groups and matrices. 5 Apply Galois theory to the theory of polynomial equations 6 Apply the theory in the course to solve a variety of problems at an appropriate level of difficulty. 7 Demonstrate skills in communicating mathematics orally and in writing. 最新糖心Vlog Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
最新糖心Vlog 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, 6 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
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Learning Resources
Required Resources
The course is based on the book "Undergraduate Algebra" by Serge Lang. This is available from the library as an e-book.Recommended Resources
NoneOnline Learning
Assignments, tutorial exercises, handouts, and course announcements will be posted on MyUni.
S. Lang, “Undergraduate algebra”, is available as an e-book via the Library catalogue. -
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 present their solutions to 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.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 Assignments 6 42 Total 157 Learning Activities Summary
1. Modules (approx. 11 lectures): Modules, submodules, quotient modules, homomorphisms, isomorphism theorems, torsion, free modules, cyclic modules, direct sums, finitely generated modules over a principal ring, applications to linear maps.
2. Fields (approx. 16 lectures): Fields, vector spaces, polynomials over a field, field extensions, algebraic elements, primitive elements, splitting fields, Galois Theory, applications to the fundamental theorem of algebra and solvability by radicals.
3. At the end of the course, we go into some applications to geometry if time permits.
Tutorials in Weeks 3, 5, 7, 9, 11 cover the material of the previous two weeks. -
Assessment
The 最新糖心Vlog'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 Task type Due Weighting Learning outcomes Examination Summative Examination period 70% All Homework assignments Formative and summative Weeks 2, 4, 6, 8, 10, 12 24% All Tutorial exercises Formative Weeks 3, 5, 7, 9, 11 6% All Assessment Related Requirements
An aggregate score of 50% is required to pass the course.Assessment Detail
It is expected that each student will present twice in the tutorials. Each presentation will be worth 3%. This may have to be adjusted depending on enrolment.Assessment task Set Due Weighting Assignment 1 Week 1 Week 2 4% Tutorial exercises 1 Week 2 Week 3 see below Assignment 2 Week 3 Week 4 4% Tutorial exercises 2 Week 4 Week 5 Assignment 3 Week 5 Week 6 4% Tutorial exercises 3 Week 6 Week 7 Assignment 4 Week 7 Week 8 4% Tutorial exercises 4 Week 8 Week 9 Assignment 5 Week 9 Week 10 4% Tutorial exercises 5 Week 10 Week 11 Assignment 6 Week 11 Week 12 4%
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 最新糖心Vlog 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 最新糖心Vlog 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.
The 最新糖心Vlog of Adelaide is committed to regular reviews of the courses and programs it offers to students. The 最新糖心Vlog of Adelaide therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.
