MATHS 1015 - Advanced Mathematical Perspectives I

North Terrace Campus - Semester 1 - 2017

The aim of this course is to develop foundational research skills in the mathematical sciences. It will be taught as three small group workshops per week and assessed through guided discovery projects. Students will be required to participate proactively in the small groups workshops and by involvement in open-ended problems, independent reading and completion of the guided discovery projects.

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Course Details

Course Code	MATHS 1015
Course	Advanced Mathematical Perspectives I
Coordinating Unit	Mathematical Sciences
Term	Semester 1
Level	Undergraduate
Location/s	North Terrace Campus
Units	3
Contact	Up to 3 contact hours per week
Available for Study Abroad and Exchange	Y
Restrictions	Available to BMaSc (Adv) students only
Assessment	Ongoing assessment 100%

Course Staff

Course Coordinator: Dr Peter Hochs

Email: peter.hochs@adelaide.edu.au
Office: Ingkarni Wardli, room 735
Phone: 8313 4891
Administrative enquiries: School of Mathematical Sciences office, Level 6, Ingkarni Wardli

Course Timetable

The full timetable of all activities for this course can be accessed from .

Course Learning Outcomes

Students who successfully complete the course should:

1. appreciate the way pure mathematics is built on rigorous arguments

2. appreciate the difference between discrete and continuum modelling approaches

3. appreciate the need for statistical analysis of discrete data

4. be able to develop their own rigorous mathematical arguments

5. be able to develop simple mathematical models

6. be able to implement models using Matlab

7. be able to analyse discrete data

8. be able to write project reports and give an oral presentation

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)	all
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	4,5,6,7,8
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	all
Career and leadership readiness technology savvy professional and, where relevant, fully accredited forward thinking and well informed tested and validated by work based experiences	6,8
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	1,2,3,8

Learning Resources

Required Resources

None.

Recommended Resources

Materials provided by lecturers.

Online Learning

This course uses MyUni exclusively for providing electronic resources, such as lecture notes, assignment papers, sample solutions, discussion boards, etc. It is recommended that students make appropriate use of these resources. Link to MyUni login page: https://myuni.adelaide.edu.au/webapps/login/

Learning & Teaching Modes

This course is run in a workshop format. Students will work closely with academic members of staff in a small group discovery environment. Two written projects and a presentation constitute the assessment for the course.

Workload

The information below is provided as a guide to assist students in engaging appropriately with the course requirements.

Activity	Quantity	Workload hours
Workshops	36	108
Projects	2	32
Presentation	1	16
Total		156

Learning Activities Summary

Workshop Outline

Week 1

1. Theory: Outline for mathematical modelling project: Discrete and continuous models

2. Theory: Development of continuum model and analytical solutions

3. Theory: Continuum paths and space-time diagrams

Week 2

4. Practical: Introduction to Matlab—plotting of continuum paths

5. Practical: Plotting of continuum paths

6. Practical: LaTeX session

Week 3

7. Public holiday

8. Practical: Implementation of cellular automata mechanism for tissue growth

9. Practical: Implementation of cellular automata mechanism for tissue growth

Week 4

10. Practical: Implementation of cellular automata mechanism for tissue growth

11. Practical: Statistical analysis of cellular automata data and comparison with continuum paths

12. Practical: Statistical analysis of cellular automata data and comparison with continuum paths

Week 5

13. Theory: Probabilistic description of discrete model, probability trees

14. Theory: Uniform and negative hypergeometric distribution
15. Theory: Polya distribution mean and variance, comparison with continuum paths

Week 6

16. Practical: Comparison of averaged cellular automata data with paths/distributions

17. Practical: Preparing draft report
18. Practical: Preparing draft report

Week 7

19. Public holiday

20. Public holiday

21. Practical: Preparing a Poster and Feedback on draft report

Week 8

22. Practical: Preparing a Poster and Feedback on draft report

23. Practical: Consultancy session

24. Practical: Consultancy session

Week 9

25. What is pure maths?

26. Numbers

27. Proofs (1)

Week 10

28. Proofs (2)

29. Cardinalities

30. Axioms

Week 11

31. Pure maths project introduction

32. Ruler and compass constructions

33. Famous theorems and open problems

Week 12

34. Oral Assessment: Poster sessions

35. Oral Assessment: Poster session

36. Oral Assessment: Poster session

Week 13

37. Oral assessment (if needed)
38. Oral assessment (if needed)

Small Group Discovery Experience

This course aims to develop independent student learning in a small group discovery environment.

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

Component	Weighting	Objective Assessed
Project report 1	60%	2,3,4,5,6,7,8
Project report 2	25%	1,4,8
Presentation	15%	2,3,4,5,6,7,8

Assessment Detail

Assessment item	Distributed	Due Date	Weighting
Project 1	Week 2	Week 10	60%
Project 2	Week 10	Week 13	25%
Presentation	Week 6	Week 8	15%

Submission

1. The reports are to be submitted to the relevant lecturer with a signed cover sheet attached.

2. Late reports will not be accepted.

3. Reports will have a two week turn-around time for feedback to students.

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 .

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.
Student Support
Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
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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Authorised by:	Deputy Vice-Chancellor and Vice-President (Academic)
Maintained by:	Course Outlines Administrator

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