MATH407-24S2 (C) Semester Two 2024

Special Topic in Mathematics

15 points

Details:
Start Date: Monday, 15 July 2024
End Date: Sunday, 10 November 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 28 July 2024
  • Without academic penalty (including no fee refund): Sunday, 29 September 2024

Description

Special Topic in Mathematics

Applied mathematics in geophysics, fluid dynamics, and biophysics

Special Topic - Mathematical Modelling in Science and Engineering

Through a number of case studies, this course develops the capability to use a comprehensive set of theoretical and computational tools to obtain insight into problems arising from science and engineering.

Topics will be selected from the following list:
• Developing mathematical models using partial differential equations to describe geophysical systems, particularly volcanic eruptions. (The focus is on how we can use mathematics to describe natural systems rather than the computational techniques to solve the resulting equations.)
• Mathematical description of fluid motion and forces, and the derivation of the Navier-Stokes equations. Applications in several simplified scenarios; exact solutions and numerical solutions.
• Vertex model for the mechanics of biological tissues.
• Models for biochemical reactions and pattern formation.

At the end of the course, the students will be able to:
• think critically to identify relevant variables and analyse problems in various subjects;
• apply techniques from calculus, linear algebra, differential equations, numerical methods, and other areas to solve application problems;
• read and evaluate literature efficiently and effectively;
• present scientific ideas and discoveries in a clear and concise way.

Learning Outcomes

  • At the end of the course, the students will be able to:
  • think critically to identify relevant variables and analyse problems in various subjects;
  • apply techniques from calculus, linear algebra, differential equations, numerical methods, and other areas to solve application problems;
  • read and evaluate literature efficiently and effectively;
  • present scientific ideas and discoveries in a clear and concise way.
    • University Graduate Attributes

      This course will provide students with an opportunity to develop the Graduate Attributes specified below:

      Critically competent in a core academic discipline of their award

      Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

      Employable, innovative and enterprising

      Students will develop key skills and attributes sought by employers that can be used in a range of applications.

Prerequisites

Subject to approval of the Head of School

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 15:00 - 16:00 A8 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Thursday 11:00 - 12:00 Jack Erskine 443
15 Jul - 25 Aug
9 Sep - 20 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 Jack Erskine 442 Computer Lab
15 Jul - 25 Aug
9 Sep - 20 Oct

Course Coordinator

Leighton Watson

Lecturer

Mingfeng Qiu

Assessment

Assessments will be:
• weekly/bi-weekly homework - 60%
• paper/project presentation 1: for term 3 - 20%
• paper/project presentation 2: for term 4 - 20%

Indicative Fees

Domestic fee $1,074.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH407 Occurrences

  • MATH407-24S2 (C) Semester Two 2024