MATHS 2201 - Engineering Mathematics IIA

North Terrace Campus - Semester 1 - 2016

Mathematical models are used to understand, predict and optimise engineering systems. Many of these systems are deterministic and are modelled using differential equations. Others are random in nature and are analysed using probability theory and statistics. This course provides an introduction to differential equations and their solutions and to probability and statistics, and relates the theory to physical systems and simple real world applications. Topics covered are: Ordinary differential equations, including first and second order equations and series solutions; Fourier series; partial differential equations, including the heat equation, the wave equation, Laplace's equation and separation of variables; probability and statistical methods, including sampling and probability, descriptive statistics, random variables and probability distributions, mean and variance, linear combinations of random variables, statistical inference for means and proportions and linear regression.

  • General Course Information
    Course Details
    Course Code MATHS 2201
    Course Engineering Mathematics IIA
    Coordinating Unit School of Mathematical Sciences
    Term Semester 1
    Level Undergraduate
    Location/s North Terrace Campus
    Units 3
    Contact Up to 3.5 hours per week
    Available for Study Abroad and Exchange Y
    Prerequisites MATHS 1012
    Incompatible MATHS 2102
    Restrictions Available to BE students only
    Course Description Mathematical models are used to understand, predict and optimise engineering systems. Many of these systems are deterministic and are modelled using differential equations. Others are random in nature and are analysed using probability theory and statistics. This course provides an introduction to differential equations and their solutions and to probability and statistics, and relates the theory to physical systems and simple real world applications.

    Topics covered are: Ordinary differential equations, including first and second order equations and series solutions; Fourier series; partial differential equations, including the heat equation, the wave equation, Laplace's equation and separation of variables; probability and statistical methods, including sampling and probability, descriptive statistics, random variables and probability distributions, mean and variance, linear combinations of random variables, statistical inference for means and proportions and linear regression.
    Course Staff

    Course Coordinator: Associate Professor Ben Binder

    Course Timetable

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

  • Learning Outcomes
    Course Learning Outcomes
    1. Apply statistical analysis of a variety of experimental and observational studies.
    2. Solve statistical problems using computational tools.
    3. Derive mathematical models of physical systems.
    4. Solve differential equations using appropriate methods.
    5. Present mathematical solutions in a concise and informative manner.
    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
    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
    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
    5
    Career and leadership readiness
    • technology savvy
    • professional and, where relevant, fully accredited
    • forward thinking and well informed
    • tested and validated by work based experiences
    2
    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, diffuse conflict and engage positively in purposeful debate
    5
  • Learning Resources
    Required Resources
    None.
    Recommended Resources
    Advanced Engineering Mathematics (10th edition) by Erwin Kreyszig.
    Online Learning
    This course uses MyUni exclusively to provide 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 Activities
    Learning & Teaching Modes
    This course relies on lectures as the primary delivery mechanism for the material. Tutorials supplement the lectures by providing exercises and example problems to enhance the understanding obtained through lectures. 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.


    Workload
    Activity Quantity Workload Hours
    Lectures 32 80
    Tutorials 11 28
    Assignments 11 48
    Total 156
    Learning Activities Summary
    Schedule
    Week 1 Statistics Basic probability
    Week 2 Statistics Random variables
    Week 3 Statistics Confidence intervals - Hypothesis tests
    Week 4 Statistics Linear regression
    Week 5 ODEs First-order ordinary differential equations
    Week 6 ODEs Higher-order linear homogeneous constant coefficient ODEs
    Week 7 ODEs Higher-order linear nonhomogeneous constant-coefficient ODEs
    Week 8 ODEs Systems of first-order ODEs
    Week 9 ODEs Power series
    Week 10 ODEs Fourier series
    Week 11 PDEs Partial differential equations
    Week 12 PDEs Heat, wave and Laplace's equations
    Tutorials begin in Week 2 and cover the material of the previous week.
  • 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 Type Due Weighting Learning Outcomes
    Examination Summative Examination Period 70 % All
    Assignments Formative and Summative Weeks 3, 4, 5, 6, 8, 9, 10, 11, 12, 13 30 % All
    Assessment Related Requirements
    To pass the course the student must attain:
    1. an aggregate score of 50%, and
    2. an exam score of at least 45%.
    Assessment Detail
    Assessment Detail
    Task Set Due Weighting
    Assignment 1 Week 2 Week 3 2.7 %
    Assignment 2 Week 3 Week 4 2.7 %
    Assignment 3 Week 4 Week 5 2.7 %
    Assignment 4 Week 5 Week 6 2.7 %
    Assignment 5 Week 7 Week 8 2.7 %
    Assignment 6 Week 8 Week 9 2.7 %
    Assignment 7 Week 9 Week 10 2.7 %
    Assignment 8 Week 10 Week 11 2.7 %
    Assignment 9 Week 11 Week 12 2.7 %
    Assignment 10 Week 12 Week 13 2.7 %
    Assignment 11 Week 12 Week 13 2.7 %
    Submission
    1. All written assignments are to be submitted to the designated hand-in boxes within the School of Mathematical Sciences with a signed cover sheet attached.
    2. Late assignments will not be accepted.
    3. Assignments 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 Access Adelaide.

  • 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’s disciplinary procedures.

The University of Adelaide is committed to regular reviews of the courses and programs it offers to students. The University of Adelaide therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.