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APP MTH 4046 - Applied Mathematics Topic A - Honours

North Terrace Campus - Semester 1 - 2018

Please contact the School of Mathematical Sciences for further details, or view course information on the School of Mathematical Sciences web site at http://www.maths.adelaide.edu.au

  • General Course Information
    Course Details
    Course Code APP MTH 4046
    Course Applied Mathematics Topic A - Honours
    Coordinating Unit Mathematical Sciences
    Term Semester 1
    Level Undergraduate
    Location/s North Terrace Campus
    Units 3
    Contact Up to 2.5 hours per week
    Available for Study Abroad and Exchange Y
    Restrictions May only be presented towards some Engineering Programs
    Assessment Ongoing assessment 30%, exam 70%
    Course Staff

    Course Coordinator: Professor Nigel Bean

    Course Timetable

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

  • Learning Outcomes
    Course Learning Outcomes
    In 2018, the topic of this course will be Fundamentals of Continuous-Time Markov Chains

    Syllabus

    In this course we shall explore the fundamental properties of continuous-time Markov chains (CTMC). What you have learnt in Applied Probability III or Random Processes III is slightly sanitized version of the true range of properties of CTMC. In this course we won't be so restricted, but will instead more fully explore the generality available.

    Assumed knowledge is either Applied Probability III or Random Processes III.

    Learning Outcomes
    1 Understand the properties of transition functions
    2 Understand the properties of generator matrices
    3 Understand the relationship between transition functions and generator matrices
    4 Understand the construction of the Feller Minimal Process
    5 Understand the relationship between invariant measures for the transition function and for the generator matrix
    6 Anything else we cover, which might be Martingales of Renewal Processes
    7
    8
    9
    10
    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
    all
  • Learning Resources
    Required Resources
    None.
    Recommended Resources
    None
    Online Learning
    This course uses MyUni exclusively for providing electronic resources, such as assignments and handouts, and for making course announcements. 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 Activities
    Learning & Teaching Modes
    This course relies on lectures as the primary delivery mechanism for the material.  A sequence of written assignments provides assessment opportunities for students to gauge their progress and understanding.
    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
    Assignments 5 65
    Total 155
    Learning Activities Summary
    Lecture Outline
    Schedule
    Week 1 Introduction
    Week 2 Transition Function
    Week 3 Generator Matrices
    Week 4
    Week 5
    Week 6
    Week 7
    Week 8
    Week 9
    Week 10
    Week 11
    Week 12
    Specific Course Requirements
    None.
  • Assessment

    The University's policy on Assessment for Coursework Programs is based on the following four principles:

    1. Assessment must encourage and reinforce learning.
    2. Assessment must enable robust and fair judgements about student performance.
    3. Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
    4. Assessment must maintain academic standards.

    Assessment Summary
    Assessment Task Task Type Due Weighting Learning Outcome
    Assignments Summative

    Weeks 4, 6, 8, 10, 13

    30% all
    Exam Summative Examination period 70% all
    Assessment Related Requirements
    An aggregate score of at least 50% is required to pass the course.
    Assessment Detail
    Assessment task Set Due Weighting
    Assignment 1 Week 2 Week 4 6%
    Assignment 2 Week 4 Week 6 6%
    Assignment 3 Week 6 Week 8 6%
    Assignment 4 Week 8 Week 10 6%
    Assignment 5 Week 10 Week 13 6%
    Submission
    Assignments will have a maximum 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:

    M11 (Honours Mark Scheme)
    GradeGrade reflects following criteria for allocation of gradeReported on Official Transcript
    Fail A mark between 1-49 F
    Third Class A mark between 50-59 3
    Second Class Div B A mark between 60-69 2B
    Second Class Div A A mark between 70-79 2A
    First Class A mark between 80-100 1
    Result Pending An interim result RP
    Continuing Continuing CN

    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
  • 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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