ENGSCI 311

Mathematical Modelling 3

Summary


Semester

Semester 2, 2020

Staff

Teaching schedule

Please see Student Services Online for the official class timetable and locations.

Lectures are currently scheduled on Mon 9am, Wed, Thu 11am, and Fri 8am, all in FPAA / 260-115.
We plan on delivering the Friday session in an online format only.

Contents


Calendar notes

A selection from: ordinary differential equations, systems of equations, analytical and numerical methods, non-linear ODEs, partial differential equations, separation of variables, numerical methods for solving PDEs, models for optimisation, industrial statistics, data analysis, regression, experimental design reliability methods.
Prerequisite: ENGSCI 211Restriction: ENGSCI 313, 314

Outcome mapping


Intended learning outcomes
Related graduate attributes
Related assessments

Models for Optimisation: Model situations requiring optimisation with linear, non-linear and integer programming models. Build optimisation models in Excel, and interpret and communicate the results.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (2)
ENGA04: investigation (4)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (2)
ENGP01: depth of knowledge required (4)
ENGP02: range of conflicting requirements (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (2)
UOA_4: Communication and Engagement (2)
UOA_5: Independence and Integrity (2)
MFO Quiz
MFO Assignment
Test
Exam

Data Analysis: Further develop understanding of linear regression models, as applied to situations with multiple variables, interactions, and generalised linear models for classification. Conduct analyses in R on the type of data that arises in engineering practice, and communicate the results.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (2)
ENGA04: investigation (4)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (2)
ENGP01: depth of knowledge required (4)
ENGP02: range of conflicting requirements (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (2)
UOA_4: Communication and Engagement (2)
UOA_5: Independence and Integrity (2)
DA Quiz
DA Assignment
Test
Exam

Ordinary Differential Equations: Further develop knowledge of solving first and second order systems of ordinary differential equations, using eigenvalue and eigenvector methods. Understand and use ODE solution methods to analyse signals and determine the stability of the solution to a system of ODEs.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (2)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (2)
ENGP01: depth of knowledge required (4)
ENGP02: range of conflicting requirements (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (2)
UOA_5: Independence and Integrity (2)
ODE Quiz
Test
Exam

Partial Differential Equations: Formulate and solve physical models requiring the use of partial differential equations, using separation of variables. Understand how finite difference methods can be applied to solve partial differential equations numerically.

ENGA01: engineering knowledge (4)
ENGA02: problem analysis (2)
ENGA04: investigation (4)
ENGA05: modern tool usage (4)
ENGK01: theory of natural sciences (4)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (2)
ENGP01: depth of knowledge required (4)
ENGP02: range of conflicting requirements (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (4)
UOA_2: Critical Thinking (3)
UOA_3: Solution Seeking (2)
UOA_5: Independence and Integrity (2)
PDE Assignment
Exam

Assessment


Coursework

3 assignments (MFO, DA, PDE) at 8% each.
3 quizzes (MFO, DA, ODE) at 2% each.
1 test at 15%

Exam rules

55% Exam + 45% Coursework (as listed above)

Final percentage may not exceed exam percentage by more than 10%. As with all courses, the final grade is subject to scaling.

The exam is 3 hours long. No calculators are permitted in the exam.

In the event of a student seeking an aegrotat, a greater weight may be placed on the test (reflecting that it is sat under exam conditions). Students who did not complete the test may be required to complete an additional written or oral assessment as part of any aegrotat application.

All queries regarding assignment marks must be made before the exam. No changes in assignment marks are possible once the exam has been sat.

Inclusive learning

Students are urged to discuss privately any impairment-related requirements face-to-face and/or in written form with the course convenor/lecturer and/or tutor.

Other assessment rules

Written assignments are to be submitted via Canvas as DOCX or PDF files. Assignments may be hand-written and scanned, or typed up and converted to a PDF, or a mix of both.

Assignment Extensions:

If you need an extension on an assignment, perhaps because of illness, then please contact the course coordinator (details above) as soon as possible. Appropriate evidence may be requested, especially when extensions or exemptions are repeatedly requested. We further reserve the right to verify documentation / evidence if deemed necessary.

Please note that pressure of coursework alone or personal travel are NOT sufficient reasons to grant extensions or exemptions. Extensions will also NOT be granted for individual technology issues, or submitting incorrect files to Canvas. Please ensure that you give yourself sufficient time to check that you have submitted the correct files for each assignment.

Policy on Late Assignment Submissions:

For assignments given as Canvas Quizzes, no late submissions will be accepted. Once the due date / time is past, all active quizzes will be automatically submitted.

For written assignments, aim to have all files safely uploaded well before the due time. It is highly recommended that you upload draft copies of all files at least one day in advance of the deadline, in case of last-minute technical difficulties. Late submissions will be marked as usual, but will be subject to a linear penalty that scales to 100% after 24 hours past the due date. This is automatically applied by Canvas.

Academic integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting his or her learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the world-wide web. A student's assessed work may be reviewed against electronic source material using computerised detection mechanisms. Upon reasonable request, students may be required to provide an electronic version of their work for computerised review.

All students enrolled at the University of Auckland are required to complete a compulsory Academic Integrity course, usually in their first semester/year of enrolment. The University of Auckland’s full guidelines on procedures and penalties for academic dishonesty are available here.

Student feedback


Actions shared/based on previous feedback

Course assessment have been further re-balanced to ensure that the work required for each task is appropriate for the weighting assigned.

Incremental improvements have been made to all course material, including a major update of the DA material.

We will be further trialling blended learning in the 2020 edition of ENGSCI 311.

This site intends to guide you through your chosen specialisation at the Faculty of Engineering. The semester links lets you view detailed course information for your chosen course. Please note that the structure displayed for your specialisation here will reflect what’s available over the upcoming semesters, but detailed information may be from a previous year.

All the information here is accurate at the time of publication, but you are are advised to additionally consult our official document, the University of Auckland Calendar, for accurate academic regulations, requirements, and policies.