MATHS 2201 - Engineering Mathematics IIA
North Terrace Campus - Semester 1 - 2015
General Course Information
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 Coordinator: Dr Barry Cox
The full timetable of all activities for this course can be accessed from Course Planner.
Course Learning Outcomes
- Apply statistical analysis of a variety of experimental and observational studies.
- Solve statistical problems using computational tools.
- Derive mathematical models of physical systems.
- Solve differential equations using appropriate methods.
- 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) Knowledge and understanding of the content and techniques of a chosen discipline at advanced levels that are internationally recognised. 1,2,3,4 The ability to locate, analyse, evaluate and synthesise information from a wide variety of sources in a planned and timely manner. 2,4,5 An ability to apply effective, creative and innovative solutions, both independently and cooperatively, to current and future problems. 1,2,3,4 Skills of a high order in interpersonal understanding, teamwork and communication. 5 A proficiency in the appropriate use of contemporary technologies. 2,4 A commitment to continuous learning and the capacity to maintain intellectual curiosity throughout life. 1,2,3,4,5
Recommended ResourcesAdvanced Engineering Mathematics (10th edition) by Erwin Kreyszig.
Online LearningThis 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 ModesThis 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.
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
Tutorials begin in Week 2 and cover the material of the previous week.
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
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 Task Type Due Weighting Learning Outcomes Examination Summative Examination Period 70 % All Assignments Formative and Summative Weeks 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 30 % All
Assessment Related RequirementsTo pass the course the student must attain:
- an aggregate score of 50%, and
- an exam score of at least 45%.
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 6 Week 7 2.7 % Assignment 6 Week 7 Week 8 2.7 % Assignment 7 Week 8 Week 9 2.7 % Assignment 8 Week 9 Week 10 2.7 % Assignment 9 Week 10 Week 11 2.7 % Assignment 10 Week 11 Week 12 2.7 % Assignment 11 Week 12 Week 13 2.7 %
- 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.
- Late assignments will not be accepted.
- Assignments will have a two week turn-around time for feedback to students.
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.
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.
- Academic Support with Maths
- Academic Support with writing and speaking skills
- Student Life Counselling Support - Personal counselling for issues affecting study
- International Student Support
- AUU Student Care - Advocacy, confidential counselling, welfare support and advice
- Students with a Disability - Alternative academic arrangements
- Reasonable Adjustments to Teaching & Assessment for Students with a Disability Policy
Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangement Policy
- Academic Honesty Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Elder Conservatorium of Music Noise Management Plan
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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.
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